Beckmann Sample, near normal, slope_x

Time bar (total: 13.2s)

analyze465.0ms (3.5%)

Algorithm
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: 271.0ms
...c/correct-round.rkt:119:19: 78.0ms (28.8% of total)
ival-mult: 35.0ms (12.9% of total)
ival-log: 34.0ms (12.5% of total)
ival-<=: 28.0ms (10.3% of total)
ival-cos: 23.0ms (8.5% of total)
ival-sub: 14.0ms (5.2% of total)
ival->: 13.0ms (4.8% of total)
ival-sqrt: 12.0ms (4.4% of total)
ival-and: 11.0ms (4.1% of total)
ival-pi: 9.0ms (3.3% of total)
ival-neg: 9.0ms (3.3% of total)
const: 2.0ms (0.7% of total)
backward-pass: 1.0ms (0.4% of total)

sample2.1s (15.8%)

Results
1.7s8256×0valid
1.0ms0precondition
Precisions
Click to see histograms. Total time spent on operations: 1.3s
...c/correct-round.rkt:119:19: 332.0ms (24.8% of total)
ival-<=: 187.0ms (14% of total)
ival-mult: 183.0ms (13.7% of total)
ival-log: 164.0ms (12.2% of total)
ival-cos: 130.0ms (9.7% of total)
ival-sqrt: 81.0ms (6% of total)
ival-sub: 78.0ms (5.8% of total)
ival-and: 52.0ms (3.9% of total)
ival-neg: 43.0ms (3.2% of total)
ival-pi: 40.0ms (3% of total)
ival->: 38.0ms (2.8% of total)
const: 8.0ms (0.6% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess79.0ms (0.6%)

Algorithm
egg-herbie
Rules
1672×fma-define
1668×fnmadd-define
1174×sum3-define
716×fmsub-define
668×fnmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042135
199121
2191121
3344121
4617121
51232121
61708121
72334121
83912121
94671121
104762121
114776121
124788121
01313
12512
23812
34812
46212
57912
610112
711512
812712
912812
012812
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
Outputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Call 2
Inputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log (- 1 u2)))) (cos (* (* 2 (PI)) u1)))
Outputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))
(* (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p u1))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2))))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))))
(* (sqrt (neg (log1p (neg u1)))) (neg (cos (* 2 (* (PI) u2)))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2))))
(fnmsub (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p u1))) 0)
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log1p (neg u1)))) (neg (cos (* 2 (* (PI) u2)))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (cos (* (* 2 (PI)) u2)))
(* (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p (neg cosTheta_i)))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) cosTheta_i))))
(* (sqrt (neg (log (- 1 u2)))) (cos (* (* 2 (PI)) u1)))
(* (sqrt (neg (log1p (neg u2)))) (cos (* u1 (* 2 (PI)))))
Symmetry

(abs cosTheta_i)

(abs u2)

explain148.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2024(0.999927282333374 0.005196211393922567 0.0008605186594650149)1(0.9999399185180664 0.013327263295650482 5.451199314165933e-8)(log.f32 (-.f32 #s(literal 1 binary32) u1))
20-1(0.9999733567237854 0.8812831044197083 0.2538396418094635)(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
00-0-(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
00-0-(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
00-0-u1
00-0-(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
00-0-#s(literal 1 binary32)
00-0-#s(literal 2 binary32)
00-0-(PI.f32)
00-0-u2
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
00-0-(-.f32 #s(literal 1 binary32) u1)
Results
91.0ms512×0valid
Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 12.0ms (28.3% of total)
ival-log: 9.0ms (21.2% of total)
ival-cos: 7.0ms (16.5% of total)
ival-sub: 5.0ms (11.8% of total)
ival-sqrt: 3.0ms (7.1% of total)
ival-pi: 2.0ms (4.7% of total)
ival-neg: 2.0ms (4.7% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 13 computations (13.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02290
14190
25590
36590
48490
510490
612190
713690
813790
013790
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(log (- 1 u1))
(- 1 u1)
1
u1
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
Outputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (- 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (- 1 u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (- 1 u1))
(log1p.f32 (neg.f32 u1))
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(cos (* (* 2 (PI)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* 2 (* (PI) u2))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2

localize129.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
accuracy99.5%
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
accuracy99.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
accuracy99.0%
(*.f32 (PI.f32) u2)
accuracy99.5%
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy54.5%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
102.0ms256×0valid
Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-sqrt: 25.0ms (39% of total)
ival-mult: 9.0ms (14.1% of total)
ival-log: 9.0ms (14.1% of total)
ival-cos: 6.0ms (9.4% of total)
compiled-spec: 6.0ms (9.4% of total)
ival-neg: 4.0ms (6.2% of total)
ival-sub: 2.0ms (3.1% of total)
ival-pi: 1.0ms (1.6% of total)
ival-add: 1.0ms (1.6% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series47.0ms (0.4%)

Counts
12 → 168
Calls
Call 1
Inputs
#<alt (log (- 1 u1))>
#<alt (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (log (- 1 u1)))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (* 2 (PI)) u2)>
#<alt (cos (* (* 2 (PI)) u2))>
#<alt (* (PI) u2)>
#<alt (cos (* 2 (* (PI) u2)))>
Outputs
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
Calls

42 calls:

TimeVariablePointExpression
28.0ms
u2
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms
u2
@0
(* (* 2 (PI)) u2)
2.0ms
u1
@-inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u2
@0
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

rewrite255.0ms (1.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02268
19468
253860
3457960
0844660
Stop Event
iter limit
node limit
Counts
12 → 367
Calls
Call 1
Inputs
(log (- 1 u1))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(* (* 2 (PI)) u2)
(cos (* (* 2 (PI)) u2))
(* (PI) u2)
(cos (* 2 (* (PI) u2)))
Outputs
(log1p.f32 u1)
(neg.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(+.f32 (log1p.f32 u1) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log1p.f32 u1))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(+.f32 (log1p.f32 (*.f32 u1 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log.f32 (+.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))) (log.f32 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (+.f32 u1 #s(literal -1 binary32))))
(-.f32 (log.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (log.f32 (+.f32 u1 #s(literal -1 binary32))))
(-.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 (*.f32 u1 u1))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))))
(/.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))
(log.f32 (+.f32 #s(literal 1 binary32) u1))
(+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
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(fma.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(fma.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
(fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (neg.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
(-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32))
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 4 binary32))
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1 binary32))
(/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (pow.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 3 binary32))) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (-.f32 (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))))
(/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))))
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (-.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
(*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32))
(*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))

simplify459.0ms (3.5%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03063514
19822874
234892640
080432640
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
Outputs
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal -1/3 binary32))))))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 #s(literal -1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 u1) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 #s(literal -1 binary32))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* -1 (log (/ -1 u1)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (/.f32 #s(literal -1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u1 u1))) (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/6 binary32)) #s(literal -1 binary32))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1))))) (*.f32 u1 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal -1/2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)))) (*.f32 u1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))) u1))
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(-.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/8 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1))) u1)) u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32))) (log.f32 u1))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal -1/3 binary32))))))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 #s(literal -1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 u1) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 #s(literal -1 binary32))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* -1 (log (/ -1 u1)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (/.f32 #s(literal -1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32))) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32))) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))

eval59.0ms (0.4%)

Compiler

Compiled 14387 to 1281 computations (91.1% saved)

prune113.0ms (0.9%)

Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New51421535
Fresh000
Picked022
Done000
Total51423537
Accuracy
99.5%
Counts
537 → 23
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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.3%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.9%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.6%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 (*.f32 u1 u1))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.9%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
86.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
98.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
76.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
51.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
47.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
76.9%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 1089 to 739 computations (32.1% saved)

simplify218.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
cost-diff64
(/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
cost-diff64
(/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
cost-diff0
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
cost-diff0
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff32
(neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
cost-diff0
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
cost-diff32
(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(log1p.f32 (neg.f32 u1))
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff64
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
cost-diff64
(*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
cost-diff128
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
Rules
2010×*-lowering-*.f32
2010×*-lowering-*.f64
1406×sum3-define
1158×fnmadd-define
1136×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053333
1128321
2271318
3654315
41261315
51745315
62118315
72767315
83503315
94143315
105097315
08079315
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))
1
(/ 1 (* 1 (cos (* 2 (* (PI) u2)))))
(* 1 (cos (* 2 (* (PI) u2))))
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
1
(* (sqrt (neg (log (- 1 u1)))) (+ 1 (* (* u2 u2) (* (PI) (* (PI) -2)))))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(log (- 1 u1))
(- 1 u1)
1
u1
(+ 1 (* (* u2 u2) (* (PI) (* (PI) -2))))
(* (* u2 u2) (* (PI) (* (PI) -2)))
(* u2 u2)
u2
(* (PI) (* (PI) -2))
(PI)
(* (PI) -2)
-2
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))
(log (+ 1 (* u1 (* u1 u1))))
(* u1 (* u1 u1))
u1
(* u1 u1)
(log (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 u1))
(+ 1 u1)
1
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1)))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1))
(/ (pow (cos (* (PI) u2)) 4) 1)
(pow (cos (* (PI) u2)) 4)
(cos (* (PI) u2))
(* (PI) u2)
(PI)
u2
4
1
(/ (pow (sin (* (PI) u2)) 4) 1)
(pow (sin (* (PI) u2)) 4)
(sin (* (PI) u2))
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
1
#s(literal 1 binary32)
(/ 1 (* 1 (cos (* 2 (* (PI) u2)))))
(/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(* 1 (cos (* 2 (* (PI) u2))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(cos (* 2 (* (PI) u2)))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* 2 (* (PI) u2))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
1
#s(literal 1 binary32)
(* (sqrt (neg (log (- 1 u1)))) (+ 1 (* (* u2 u2) (* (PI) (* (PI) -2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(sqrt (neg (log (- 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (- 1 u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (- 1 u1))
(log1p.f32 (neg.f32 u1))
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(+ 1 (* (* u2 u2) (* (PI) (* (PI) -2))))
(+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(* (* u2 u2) (* (PI) (* (PI) -2)))
(*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))
(* u2 u2)
(*.f32 u2 u2)
u2
(* (PI) (* (PI) -2))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))
(PI)
(PI.f32)
(* (PI) -2)
(*.f32 (PI.f32) #s(literal -2 binary32))
-2
#s(literal -2 binary32)
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))))
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))
(sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))))
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))
(-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(log (+ 1 (* u1 (* u1 u1))))
(log1p.f32 (*.f32 u1 (*.f32 u1 u1)))
(* u1 (* u1 u1))
(*.f32 u1 (*.f32 u1 u1))
u1
(* u1 u1)
(*.f32 u1 u1)
(log (+ 1 (* u1 (+ 1 u1))))
(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(cos (* (* 2 (PI)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1))
(-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))
(/ (pow (cos (* (PI) u2)) 4) 1)
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(pow (cos (* (PI) u2)) 4)
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(cos (* (PI) u2))
(cos.f32 (*.f32 (PI.f32) u2))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
4
#s(literal 4 binary32)
1
#s(literal 1 binary32)
(/ (pow (sin (* (PI) u2)) 4) 1)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(pow (sin (* (PI) u2)) 4)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(sin (* (PI) u2))
(sin.f32 (*.f32 (PI.f32) u2))

localize820.0ms (6.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(*.f32 (PI.f32) u2)
accuracy98.8%
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
accuracy97.7%
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
accuracy78.4%
(PI.f32)
accuracy99.2%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy99.2%
(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
accuracy99.1%
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
accuracy78.4%
(PI.f32)
accuracy99.0%
(*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
accuracy97.6%
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))
accuracy78.4%
(PI.f32)
accuracy75.7%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy100.0%
(neg.f32 (log1p.f32 (neg.f32 u1)))
accuracy100.0%
(neg.f32 u1)
accuracy100.0%
(log1p.f32 (neg.f32 u1))
accuracy99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
accuracy99.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
accuracy99.4%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
accuracy99.2%
(*.f32 (PI.f32) u2)
accuracy78.4%
(PI.f32)
Results
359.0ms59×5exit
175.0ms62×1valid
124.0ms135×0valid
Compiler

Compiled 389 to 52 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 284.0ms
backward-pass: 69.0ms (24.3% of total)
ival-mult: 45.0ms (15.8% of total)
compiled-spec: 34.0ms (12% of total)
ival-sub: 30.0ms (10.5% of total)
ival-log: 27.0ms (9.5% of total)
ival-pow: 17.0ms (6% of total)
ival-cos: 14.0ms (4.9% of total)
ival-neg: 12.0ms (4.2% of total)
ival-div: 11.0ms (3.9% of total)
ival-add: 10.0ms (3.5% of total)
ival-sqrt: 8.0ms (2.8% of total)
ival-sin: 6.0ms (2.1% of total)
ival-pi: 2.0ms (0.7% of total)
const: 2.0ms (0.7% of total)

series100.0ms (0.8%)

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

90 calls:

TimeVariablePointExpression
37.0ms
u2
@inf
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))
19.0ms
u1
@inf
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))
9.0ms
u1
@-inf
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))
2.0ms
u1
@0
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))
2.0ms
u2
@0
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))

rewrite598.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
3044×*-lowering-*.f32
3044×*-lowering-*.f64
2054×fma-lowering-fma.f32
2054×fma-lowering-fma.f64
2040×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053164
1283158
22109144
08610144
Stop Event
iter limit
node limit
Counts
28 → 916
Calls
Call 1
Inputs
(/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))
(* 1 (cos (* 2 (* (PI) u2))))
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(log (- 1 u1))
(* (sqrt (neg (log (- 1 u1)))) (+ 1 (* (* u2 u2) (* (PI) (* (PI) -2)))))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))
(/ (pow (cos (* (PI) u2)) 4) 1)
(/ (pow (sin (* (PI) u2)) 4) 1)
(* (sqrt (neg (log (+ 1 (neg u1))))) (- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1)))
(PI)
(* (PI) u2)
(neg u1)
(* (PI) (* (PI) -2))
(* (* u2 u2) (* (PI) (* (PI) -2)))
(* u1 (+ 1 u1))
(log (+ 1 (* u1 (+ 1 u1))))
(* (* 2 (PI)) u2)
(pow (sin (* (PI) u2)) 4)
(pow (cos (* (PI) u2)) 4)
Outputs
(neg.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(cos.f32 (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))
(exp.f32 (log.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32)))
(+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(+.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(+.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))) (fma.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) (*.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))))
(+.f32 (fma.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (neg.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (fma.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(+.f32 (fma.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (fma.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(+.f32 (fma.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))) (fma.f32 (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
(+.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32) (neg.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (fma.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(+.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32) (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (fma.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(+.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))) (fma.f32 (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
(+.f32 (fma.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal -1 binary32) (neg.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (fma.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(+.f32 (fma.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (fma.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(+.f32 (fma.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal -1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))) (fma.f32 (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
(+.f32 (fma.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (neg.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (fma.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
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(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))))))
(+.f32 (log1p.f32 (*.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))))))
(+.f32 (log1p.f32 (*.f32 (neg.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))))))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))) (log1p.f32 (*.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))) (log.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) (log1p.f32 (neg.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))))
(-.f32 (log.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(*.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))
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
(neg.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(exp.f32 (*.f32 #s(literal 4 binary32) (log.f32 (sin.f32 (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (neg.f32 (*.f32 #s(literal 4 binary32) (log.f32 (sin.f32 (*.f32 (PI.f32) u2))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32))))
(exp.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 4 binary32) (log.f32 (sin.f32 (*.f32 (PI.f32) u2)))))))
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (log.f32 (sin.f32 (*.f32 (PI.f32) u2))))
(/.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)))
(/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))))
(/.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal -1 binary32))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))
(*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal -1 binary32))
(*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32))
(neg.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(exp.f32 (*.f32 #s(literal 4 binary32) (log.f32 (cos.f32 (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (neg.f32 (*.f32 #s(literal 4 binary32) (log.f32 (cos.f32 (*.f32 (PI.f32) u2))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) (*.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32))))
(exp.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 4 binary32) (log.f32 (cos.f32 (*.f32 (PI.f32) u2)))))))
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)) #s(literal -1 binary32))
(pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (log.f32 (cos.f32 (*.f32 (PI.f32) u2))))
(/.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)))
(/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))))
(/.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(*.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal -1 binary32))
(*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32))

simplify471.0ms (3.6%)

Algorithm
egg-herbie
Rules
8424×*-lowering-*.f32
8424×*-lowering-*.f64
4294×+-lowering-+.f64
4294×+-lowering-+.f32
1544×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07888075
127456628
085846628
Stop Event
iter limit
node limit
Counts
360 → 360
Calls
Call 1
Inputs
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))
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(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))
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(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* 5/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (+ 5/3 (* -1/4 u1))) 1/2)) 1))
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(- (* -3 (log (/ 1 u1))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1)))
(- (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -2 (log (/ 1 u1))))
(- (+ (* -3 (log (/ 1 u1))) (* 5/3 (/ 1 (pow u1 3)))) (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(- (+ (log -1) (* -3 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))
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1
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(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))
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(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(* (pow u2 4) (pow (PI) 4))
(* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (* -1/6 (* (sqrt u1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))) (* -1/6 (* (sqrt (/ 1 u1)) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))))))))
(* (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (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 (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(+ (* -1/2 (* (/ (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))) (* -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))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* 1/6 (pow (PI) 4)) (* 1/2 (pow (PI) 4))))) (sqrt (log (- 1 u1)))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* 1/6 (pow (PI) 4)) (* 1/2 (pow (PI) 4))))) (* (* (pow u2 2) (* (sqrt -1) (- (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6)))) (* -2/3 (pow (PI) 6))))) (sqrt (log (- 1 u1)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 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)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(* -2 (log (/ 1 u1)))
(+ (* -2 (log (/ 1 u1))) (/ 1 u1))
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
(* -2 (log (/ -1 u1)))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(* 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 u2 4) (pow (PI) 4))
(* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -4/45 binary32))) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
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#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/3 binary32)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/3 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)))))))))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))

eval188.0ms (1.4%)

Compiler

Compiled 55385 to 5148 computations (90.7% saved)

prune354.0ms (2.7%)

Pruning

53 alts after pruning (49 fresh and 4 done)

PrunedKeptTotal
New1782401822
Fresh7916
Picked325
Done022
Total1792531845
Accuracy
99.7%
Counts
1845 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
78.0%
(+.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
74.9%
(*.f32 (pow.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.5%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.9%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
81.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
93.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.5%
(*.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))))))))) #s(literal 1 binary32))
80.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
91.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
88.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
88.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
77.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
88.3%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
70.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
72.6%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 (*.f32 u1 u1))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.9%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -2/3 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))) (cos.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)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
71.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
78.2%
(*.f32 (sqrt.f32 (neg.f32 (+.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 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
48.5%
(*.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 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
45.0%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
76.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) #s(literal 1 binary32))
76.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
92.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 8 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 8 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))))
85.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)))))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
85.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
86.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
76.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
51.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
47.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
76.8%
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
76.7%
(*.f32 (sqrt.f32 u1) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
67.8%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
4.0%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
76.9%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
62.8%
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
5.4%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
Compiler

Compiled 2448 to 1748 computations (28.6% saved)

simplify201.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))))
cost-diff128
(/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))
cost-diff128
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))))
cost-diff3456
(-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
cost-diff0
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (log1p.f32 u1))))
cost-diff32
(log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
cost-diff32
(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (log1p.f32 u1)))
cost-diff64
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
cost-diff0
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))
cost-diff0
(sqrt.f32 u1)
cost-diff32
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
cost-diff32
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
cost-diff0
(sqrt.f32 u1)
cost-diff32
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
cost-diff128
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
Rules
1518×fma-lowering-fma.f32
1518×fma-lowering-fma.f64
1384×+-lowering-+.f64
1384×+-lowering-+.f32
1358×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043249
1110239
2219234
3466228
41592228
55144228
08225228
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (cos (* u2 (* (PI) 2))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(/ 1 (/ 1 (cos (* u2 (* (PI) 2)))))
1
(/ 1 (cos (* u2 (* (PI) 2))))
(cos (* u2 (* (PI) 2)))
(* u2 (* (PI) 2))
u2
(* (PI) 2)
(PI)
2
(* (sqrt u1) -1)
(sqrt u1)
u1
-1
(+ (* (sqrt u1) -1) (* -1/4 (sqrt (* u1 (* u1 u1)))))
(* (sqrt u1) -1)
(sqrt u1)
u1
-1
(* -1/4 (sqrt (* u1 (* u1 u1))))
-1/4
(sqrt (* u1 (* u1 u1)))
(* u1 (* u1 u1))
(* u1 u1)
(* (sqrt (neg (- (log (- 1 (* u1 u1))) (log (+ 1 u1))))) 1)
(sqrt (neg (- (log (- 1 (* u1 u1))) (log (+ 1 u1)))))
(neg (- (log (- 1 (* u1 u1))) (log (+ 1 u1))))
(- (log (- 1 (* u1 u1))) (log (+ 1 u1)))
(log (- 1 (* u1 u1)))
(- 1 (* u1 u1))
1
(* u1 u1)
u1
(log (+ 1 u1))
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(/ 1 (/ 1 (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2)))
1
(/ 1 (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2))
(/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2)
(- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2)))))
(+ (cos (* 2 (* (PI) u2))) 1)
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(- 1 (cos (* 2 (* (PI) u2))))
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (cos (* u2 (* (PI) 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(/ 1 (/ 1 (cos (* u2 (* (PI) 2)))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
1
#s(literal 1 binary32)
(/ 1 (cos (* u2 (* (PI) 2))))
(/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(cos (* u2 (* (PI) 2)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(* u2 (* (PI) 2))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
u2
(* (PI) 2)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI)
(PI.f32)
2
#s(literal 2 binary32)
(* (sqrt u1) -1)
(neg.f32 (sqrt.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
u1
-1
#s(literal -1 binary32)
(+ (* (sqrt u1) -1) (* -1/4 (sqrt (* u1 (* u1 u1)))))
(-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1))
(* (sqrt u1) -1)
(neg.f32 (sqrt.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
u1
-1
#s(literal -1 binary32)
(* -1/4 (sqrt (* u1 (* u1 u1))))
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))
-1/4
#s(literal -1/4 binary32)
(sqrt (* u1 (* u1 u1)))
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
(* u1 (* u1 u1))
(*.f32 u1 (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
(* (sqrt (neg (- (log (- 1 (* u1 u1))) (log (+ 1 u1))))) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(sqrt (neg (- (log (- 1 (* u1 u1))) (log (+ 1 u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(neg (- (log (- 1 (* u1 u1))) (log (+ 1 u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
(- (log (- 1 (* u1 u1))) (log (+ 1 u1)))
(-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1))
(log (- 1 (* u1 u1)))
(log1p.f32 (neg.f32 (*.f32 u1 u1)))
(- 1 (* u1 u1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
1
#s(literal 1 binary32)
(* u1 u1)
(*.f32 u1 u1)
u1
(log (+ 1 u1))
(log1p.f32 u1)
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(/ 1 (/ 1 (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
1
#s(literal 1 binary32)
(/ 1 (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2))
(/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2)
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2)))))
(*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(+ (cos (* 2 (* (PI) u2))) 1)
(+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(cos (* 2 (* (PI) u2)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* (PI) u2))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 u2 (PI.f32))
(PI)
(PI.f32)
u2
(- 1 (cos (* 2 (* (PI) u2))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))

localize308.0ms (2.3%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))))
accuracy99.0%
(-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
accuracy99.0%
(*.f32 (PI.f32) u2)
accuracy42.2%
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
accuracy99.8%
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
accuracy99.7%
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (log1p.f32 u1))))
accuracy99.2%
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (log1p.f32 u1))
accuracy30.9%
(log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
accuracy100.0%
(sqrt.f32 u1)
accuracy99.6%
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
accuracy99.4%
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
accuracy99.2%
(*.f32 u1 (*.f32 u1 u1))
accuracy100.0%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
accuracy100.0%
(sqrt.f32 u1)
accuracy99.5%
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
accuracy99.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
accuracy99.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
accuracy99.0%
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
Results
224.0ms256×0valid
Compiler

Compiled 342 to 43 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-div: 20.0ms (21.2% of total)
ival-mult: 17.0ms (18% of total)
ival-log: 14.0ms (14.8% of total)
compiled-spec: 14.0ms (14.8% of total)
ival-cos: 7.0ms (7.4% of total)
ival-sqrt: 7.0ms (7.4% of total)
ival-add: 5.0ms (5.3% of total)
ival-sub: 5.0ms (5.3% of total)
ival-neg: 4.0ms (4.2% of total)
ival-pi: 1.0ms (1.1% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series40.0ms (0.3%)

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

78 calls:

TimeVariablePointExpression
19.0ms
u1
@-inf
(* (sqrt u1) -1)
4.0ms
u1
@inf
(- (log (- 1 (* u1 u1))) (log (+ 1 u1)))
2.0ms
u1
@-inf
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (cos (* u2 (* (PI) 2))))))
1.0ms
u1
@inf
(* (sqrt (neg (- (log (- 1 (* u1 u1))) (log (+ 1 u1))))) 1)
1.0ms
u1
@-inf
(* (sqrt (neg (- (log (- 1 (* u1 u1))) (log (+ 1 u1))))) 1)

rewrite463.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
4782×*-lowering-*.f32
4782×*-lowering-*.f64
2936×+-lowering-+.f64
2936×+-lowering-+.f32
2502×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043150
1265137
22038128
010647128
Stop Event
iter limit
node limit
Counts
24 → 814
Calls
Call 1
Inputs
(/ 1 (/ 1 (cos (* u2 (* (PI) 2)))))
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (cos (* u2 (* (PI) 2))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(* (sqrt u1) -1)
(sqrt u1)
(+ (* (sqrt u1) -1) (* -1/4 (sqrt (* u1 (* u1 u1)))))
(* -1/4 (sqrt (* u1 (* u1 u1))))
(* (sqrt (neg (- (log (- 1 (* u1 u1))) (log (+ 1 u1))))) 1)
(neg (- (log (- 1 (* u1 u1))) (log (+ 1 u1))))
(log (- 1 (* u1 u1)))
(sqrt (neg (- (log (- 1 (* u1 u1))) (log (+ 1 u1)))))
(- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2)))))
(/ 1 (/ 1 (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2)))
(/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2)
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2))))
(* u2 (* (PI) 2))
(cos (* u2 (* (PI) 2)))
(* u1 (* u1 u1))
(sqrt (* u1 (* u1 u1)))
(- (log (- 1 (* u1 u1))) (log (+ 1 u1)))
(- 1 (* u1 u1))
(- 1 (cos (* 2 (* (PI) u2))))
(* (PI) u2)
Outputs
(neg.f32 (neg.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (+.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1 binary32)))
(+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(+.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1/2 binary32) (neg.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) (fma.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(pow.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal -1 binary32))
(pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(fma.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32) (+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(fma.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1/2 binary32) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(fma.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1/2 binary32)) (+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(fma.f32 (+.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(/.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32))) #s(literal 2 binary32))
(/.f32 (neg.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32)))) #s(literal -2 binary32))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal -1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))))))
(/.f32 (neg.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal -1 binary32))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) #s(literal 4 binary32))
(/.f32 (neg.f32 (neg.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32))))) #s(literal 2 binary32))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32)))) #s(literal 2 binary32))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32))))) #s(literal -2 binary32))
(/.f32 (*.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal -1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 3 binary32))) #s(literal 1/2 binary32)) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32))))) #s(literal 2 binary32))
(/.f32 (-.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (+.f32 #s(literal -1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal -2 binary32))
(*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 #s(literal -1 binary32) (neg.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1 binary32)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32))))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32))))))
(*.f32 (neg.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32)))) #s(literal -1/2 binary32))
(*.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (+.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32)))) #s(literal 1/2 binary32))
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(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) (neg.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) (-.f32 #s(literal 1 binary32) (neg.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))))
(*.f32 #s(literal -2 binary32) (*.f32 (sin.f32 (/.f32 (-.f32 (-.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))) (+.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))) #s(literal 2 binary32))) (sin.f32 (/.f32 (+.f32 (-.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))) (+.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))))
(*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))))
(*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))) (+.f32 #s(literal -1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 #s(literal 1 binary32) (*.f32 u2 (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) u2)
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2))
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))

simplify332.0ms (2.5%)

Algorithm
egg-herbie
Rules
4164×*-lowering-*.f32
4164×*-lowering-*.f64
2106×+-lowering-+.f64
2106×+-lowering-+.f32
1716×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04975177
116254017
259893977
081563977
Stop Event
iter limit
node limit
Counts
312 → 312
Calls
Call 1
Inputs
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
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(* -1 (sqrt u1))
(* (sqrt u1) (pow (sqrt -1) 2))
(* (sqrt u1) (pow (sqrt -1) 2))
(* (sqrt u1) (pow (sqrt -1) 2))
(* (sqrt u1) (pow (sqrt -1) 2))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
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(sqrt u1)
(sqrt u1)
(sqrt u1)
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(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
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(* -1/4 (sqrt (pow u1 3)))
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(* (pow u1 2) (+ (* -1 (sqrt (/ 1 (pow u1 3)))) (* -1/4 (sqrt (/ 1 u1)))))
(* (pow u1 2) (+ (* -1 (sqrt (/ 1 (pow u1 3)))) (* -1/4 (sqrt (/ 1 u1)))))
(* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
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(* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 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 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))))
(sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))
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u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
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(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))
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(* (pow u1 2) (- (* (pow u1 2) (- (* (pow u1 2) (- (* -1/4 (pow u1 2)) 1/3)) 1/2)) 1))
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(+ (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))))))))))
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(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1)))
2
(+ 2 (* -4 (* (pow u2 2) (pow (PI) 2))))
(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 4/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* -8/45 (* (pow u2 2) (pow (PI) 6))) (* 4/3 (pow (PI) 4)))))))
(* 2 (cos (* 2 (* u2 (PI)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(* 2 (cos (* 2 (* u2 (PI)))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
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(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
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(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
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(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
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(* 2 (* u2 (PI)))
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(* 2 (* u2 (PI)))
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(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1
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(cos (* 2 (* u2 (PI))))
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(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
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(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
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(sqrt (pow u1 3))
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(sqrt (pow u1 3))
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(sqrt (pow u1 3))
(sqrt (pow u1 3))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* -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) (* -2 (log (/ 1 u1)))) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(- (* -2 (log (/ -1 u1))) (* -1 (log (/ -1 u1))))
(- (* -2 (log (/ -1 u1))) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -1 (log (/ -1 u1))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -1 (log (/ -1 u1))))
1
(+ 1 (* -1 (pow u1 2)))
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(* -1 (pow u1 2))
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(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(* -1 (pow u1 2))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(- 1 (cos (* 2 (* u2 (PI)))))
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(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) u2) u2)))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
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(cos (* 2 (* u2 (PI))))
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(cos (* 2 (* u2 (PI))))
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(cos (* 2 (* u2 (PI))))
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(cos (* 2 (* u2 (PI))))
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(cos (* 2 (* u2 (PI))))
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(cos (* 2 (* u2 (PI))))
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(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
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(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1 binary32) u1))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -1 (log (/ -1 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)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow u1 2)))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(+ 1 (* -1 (pow u1 2)))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(+ 1 (* -1 (pow u1 2)))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))
(*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 4/45 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -2/315 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 4/45 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))

eval135.0ms (1%)

Compiler

Compiled 42038 to 3934 computations (90.6% saved)

prune241.0ms (1.8%)

Pruning

69 alts after pruning (62 fresh and 7 done)

PrunedKeptTotal
New1226271253
Fresh93544
Picked235
Done044
Total1237691306
Accuracy
99.7%
Counts
1306 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 1/2 binary32)))
5.3%
(-.f32 (neg.f32 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))
5.4%
(+.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
78.0%
(+.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
70.6%
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
5.4%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
74.9%
(*.f32 (pow.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
5.4%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal -1 binary32))
70.3%
(*.f32 (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (*.f32 #s(literal -1/64 binary32) (pow.f32 u1 #s(literal 9/2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32)) (*.f32 (neg.f32 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))))))
88.5%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.5%
(*.f32 (sqrt.f32 (+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
92.9%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))))
92.9%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
81.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
93.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.5%
(*.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))))))))) #s(literal 1 binary32))
80.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
91.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
88.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))))
88.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
88.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
77.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
88.3%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
70.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
76.5%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
72.2%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) #s(literal 1 binary32))
74.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 #s(literal -1/4 binary32) (*.f32 u1 u1))))))))) (log1p.f32 u1)))) #s(literal 1 binary32))
85.9%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -2/3 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))) (cos.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)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
71.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
68.2%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (log1p.f32 u1)))) #s(literal 1 binary32))
78.2%
(*.f32 (sqrt.f32 (neg.f32 (+.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 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
48.5%
(*.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 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
45.0%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
76.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
92.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
98.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))) (+.f32 #s(literal -1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))))
39.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (+.f32 #s(literal -1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) #s(literal 2 binary32)))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))))
85.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)))))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
85.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
86.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
76.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
51.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
47.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
45.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) #s(literal 1 binary32))
76.7%
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))))
76.8%
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
76.7%
(*.f32 (sqrt.f32 u1) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
67.8%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
4.0%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
76.9%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
5.4%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
5.4%
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
4.7%
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))
62.8%
(sqrt.f32 u1)
Compiler

Compiled 3164 to 2246 computations (29% saved)

simplify151.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff32
(neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
cost-diff128
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.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 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
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
(pow.f32 u1 #s(literal 1/2 binary32))
cost-diff0
(pow.f32 u1 #s(literal 3/2 binary32))
cost-diff0
(*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))
cost-diff0
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 1/2 binary32)))
cost-diff-32
(sqrt.f32 u1)
cost-diff64
(+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))
cost-diff64
(+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1)))
cost-diff128
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
cost-diff288
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))
Rules
1874×*-lowering-*.f32
1874×*-lowering-*.f64
1556×sum3-define
1436×fma-lowering-fma.f32
1436×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060360
1160344
2364298
31029295
43178295
55693295
08266295
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (/ (- 0 (* u1 (* u1 u1))) (+ 0 (+ (* u1 u1) (* 0 u1)))))))) (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))))
(sqrt (neg (log (+ 1 (/ (- 0 (* u1 (* u1 u1))) (+ 0 (+ (* u1 u1) (* 0 u1))))))))
(neg (log (+ 1 (/ (- 0 (* u1 (* u1 u1))) (+ 0 (+ (* u1 u1) (* 0 u1)))))))
(log (+ 1 (/ (- 0 (* u1 (* u1 u1))) (+ 0 (+ (* u1 u1) (* 0 u1))))))
(/ (- 0 (* u1 (* u1 u1))) (+ 0 (+ (* u1 u1) (* 0 u1))))
(- 0 (* u1 (* u1 u1)))
0
(* u1 (* u1 u1))
u1
(* u1 u1)
(+ 0 (+ (* u1 u1) (* 0 u1)))
(+ (* u1 u1) (* 0 u1))
(* 0 u1)
(/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))
1
(/ 1 (* 1 (cos (* 2 (* (PI) u2)))))
(* 1 (cos (* 2 (* (PI) u2))))
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(sqrt u1)
u1
(- (* -1/4 (pow u1 3/2)) (pow u1 1/2))
(* -1/4 (pow u1 3/2))
-1/4
(pow u1 3/2)
u1
3/2
(pow u1 1/2)
1/2
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) (+ 1 (* (* u2 u2) (* (PI) (* (PI) -2)))))
(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)
(+ 1 (* (* u2 u2) (* (PI) (* (PI) -2))))
(* (* u2 u2) (* (PI) (* (PI) -2)))
(* u2 u2)
u2
(* (PI) (* (PI) -2))
(PI)
(* (PI) -2)
-2
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1)))))))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1))))))))
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1)))))))
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1))))))
(log (+ 1 (* u1 (* u1 u1))))
(* u1 (* u1 u1))
u1
(* u1 u1)
(log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1)))))
(* (* u1 u1) (+ 1 (/ 1 u1)))
(+ 1 (/ 1 u1))
1
(/ 1 u1)
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
Outputs
(* (sqrt (neg (log (+ 1 (/ (- 0 (* u1 (* u1 u1))) (+ 0 (+ (* u1 u1) (* 0 u1)))))))) (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (+ 1 (/ (- 0 (* u1 (* u1 u1))) (+ 0 (+ (* u1 u1) (* 0 u1))))))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (/ (- 0 (* u1 (* u1 u1))) (+ 0 (+ (* u1 u1) (* 0 u1)))))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (/ (- 0 (* u1 (* u1 u1))) (+ 0 (+ (* u1 u1) (* 0 u1))))))
(log1p.f32 (neg.f32 u1))
(/ (- 0 (* u1 (* u1 u1))) (+ 0 (+ (* u1 u1) (* 0 u1))))
(neg.f32 u1)
(- 0 (* u1 (* u1 u1)))
(/.f32 u1 (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
0
#s(literal 0 binary32)
(* u1 (* u1 u1))
(*.f32 u1 (*.f32 u1 u1))
u1
(* u1 u1)
(*.f32 u1 u1)
(+ 0 (+ (* u1 u1) (* 0 u1)))
(*.f32 u1 u1)
(+ (* u1 u1) (* 0 u1))
(*.f32 u1 u1)
(* 0 u1)
#s(literal 0 binary32)
(/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
1
#s(literal 1 binary32)
(/ 1 (* 1 (cos (* 2 (* (PI) u2)))))
(/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(* 1 (cos (* 2 (* (PI) u2))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(cos (* 2 (* (PI) u2)))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* 2 (* (PI) u2))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(sqrt u1)
(pow.f32 u1 #s(literal 1/2 binary32))
u1
(- (* -1/4 (pow u1 3/2)) (pow u1 1/2))
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 1/2 binary32)))
(* -1/4 (pow u1 3/2))
(*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))
-1/4
#s(literal -1/4 binary32)
(pow u1 3/2)
(pow.f32 u1 #s(literal 3/2 binary32))
u1
3/2
#s(literal 3/2 binary32)
(pow u1 1/2)
(pow.f32 u1 #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) (+ 1 (* (* u2 u2) (* (PI) (* (PI) -2)))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) u2))))))
(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)
(+ 1 (* (* u2 u2) (* (PI) (* (PI) -2))))
(+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) u2)))))
(* (* u2 u2) (* (PI) (* (PI) -2)))
(*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) u2))))
(* u2 u2)
(*.f32 u2 u2)
u2
(* (PI) (* (PI) -2))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))
(PI)
(PI.f32)
(* (PI) -2)
(*.f32 (PI.f32) #s(literal -2 binary32))
-2
#s(literal -2 binary32)
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1)))))))) (cos (* (* 2 (PI)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))))
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1))))))))
(sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))))
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1)))))))
(-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1))))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(log (+ 1 (* u1 (* u1 u1))))
(log1p.f32 (*.f32 u1 (*.f32 u1 u1)))
(* u1 (* u1 u1))
(*.f32 u1 (*.f32 u1 u1))
u1
(* u1 u1)
(*.f32 u1 u1)
(log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1)))))
(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(* (* u1 u1) (+ 1 (/ 1 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(+ 1 (/ 1 u1))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
1
#s(literal 1 binary32)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(cos (* (* 2 (PI)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2

localize574.0ms (4.3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy99.2%
(log1p.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
accuracy99.2%
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
accuracy78.4%
(PI.f32)
accuracy99.0%
(*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
accuracy97.6%
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))
accuracy78.4%
(PI.f32)
accuracy73.2%
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
accuracy100.0%
(pow.f32 u1 #s(literal 1/2 binary32))
accuracy100.0%
(*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))
accuracy100.0%
(pow.f32 u1 #s(literal 3/2 binary32))
accuracy99.4%
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 1/2 binary32)))
accuracy100.0%
(sqrt.f32 u1)
accuracy99.4%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
accuracy99.3%
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))
accuracy99.2%
(*.f32 (PI.f32) u2)
accuracy78.4%
(PI.f32)
Results
223.0ms59×5exit
143.0ms62×1valid
108.0ms135×0valid
Compiler

Compiled 489 to 59 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 277.0ms
backward-pass: 54.0ms (19.5% of total)
compiled-spec: 51.0ms (18.4% of total)
ival-mult: 42.0ms (15.1% of total)
ival-add: 30.0ms (10.8% of total)
ival-log: 29.0ms (10.5% of total)
ival-pow: 16.0ms (5.8% of total)
ival-div: 15.0ms (5.4% of total)
ival-sqrt: 11.0ms (4% of total)
ival-cos: 10.0ms (3.6% of total)
ival-sub: 7.0ms (2.5% of total)
ival-neg: 7.0ms (2.5% of total)
ival-pi: 2.0ms (0.7% of total)
const: 2.0ms (0.7% of total)

series46.0ms (0.3%)

Counts
24 → 288
Calls
Call 1
Inputs
#<alt (/ (- 0 (* u1 (* u1 u1))) (+ 0 (+ (* u1 u1) (* 0 u1))))>
#<alt (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))>
#<alt (+ 0 (+ (* u1 u1) (* 0 u1)))>
#<alt (+ (* u1 u1) (* 0 u1))>
#<alt (sqrt u1)>
#<alt (- (* -1/4 (pow u1 3/2)) (pow u1 1/2))>
#<alt (* -1/4 (pow u1 3/2))>
#<alt (pow u1 3/2)>
#<alt (pow u1 1/2)>
#<alt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))>
#<alt (* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) (+ 1 (* (* u2 u2) (* (PI) (* (PI) -2)))))>
#<alt (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))>
#<alt (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))>
#<alt (* (* u1 u1) (+ 1 (/ 1 u1)))>
#<alt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1)))))))>
#<alt (* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1)))))))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1))))))))>
#<alt (PI)>
#<alt (* (PI) u2)>
#<alt (log (/ (+ 1 u1) (- 1 (* u1 u1))))>
#<alt (* (PI) (* (PI) -2))>
#<alt (* (* u2 u2) (* (PI) (* (PI) -2)))>
#<alt (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1)))))>
#<alt (* (* 2 (PI)) u2)>
Outputs
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 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 (* -1 (sqrt u1))>
#<alt (- (* -1/4 (sqrt (pow u1 3))) (sqrt u1))>
#<alt (- (* -1/4 (sqrt (pow u1 3))) (sqrt u1))>
#<alt (- (* -1/4 (sqrt (pow u1 3))) (sqrt u1))>
#<alt (* -1/4 (sqrt (pow u1 3)))>
#<alt (* (pow u1 2) (+ (* -1 (sqrt (/ 1 (pow u1 3)))) (* -1/4 (sqrt (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ (* -1 (sqrt (/ 1 (pow u1 3)))) (* -1/4 (sqrt (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ (* -1 (sqrt (/ 1 (pow u1 3)))) (* -1/4 (sqrt (/ 1 u1)))))>
#<alt (* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))>
#<alt (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))>
#<alt (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))>
#<alt (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))>
#<alt (* -1/4 (sqrt (pow u1 3)))>
#<alt (* -1/4 (sqrt (pow u1 3)))>
#<alt (* -1/4 (sqrt (pow u1 3)))>
#<alt (* -1/4 (sqrt (pow u1 3)))>
#<alt (* -1/4 (sqrt (pow u1 3)))>
#<alt (* -1/4 (sqrt (pow u1 3)))>
#<alt (* -1/4 (sqrt (pow u1 3)))>
#<alt (* -1/4 (sqrt (pow u1 3)))>
#<alt (* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))>
#<alt (* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))>
#<alt (* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))>
#<alt (* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<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 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 (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))>
#<alt (+ (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* 1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))>
#<alt (+ (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* 1/2 (* (sqrt u1) (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (sqrt (+ (log -1) (log (/ 1 u1)))))>
#<alt (+ (* 1/2 (* (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (sqrt (+ (log -1) (log (/ 1 u1))))))>
#<alt (+ (* 1/2 (* (/ (* (+ 1 (* -2 (* (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 (* (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (sqrt (+ (log -1) (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (* (+ 1 (* -2 (* (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 (* (/ (* (+ 1 (* -2 (* (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 (* (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (sqrt (+ (log -1) (log (/ 1 u1))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))>
#<alt (+ (* 1/2 (* (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* -1/2 (* (/ (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (- 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))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) u1)) (* (sqrt (log (/ -1 u1))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))>
#<alt (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2)))))>
#<alt (+ (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))))>
#<alt (+ (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))))>
#<alt (+ (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))))>
#<alt (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2)))))))>
#<alt (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* (/ 1 (pow u2 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))))>
#<alt (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* (/ 1 (pow u2 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))))>
#<alt (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* (/ 1 (pow u2 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))))>
#<alt (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2)))))))>
#<alt (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* (/ 1 (pow u2 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))))>
#<alt (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* (/ 1 (pow u2 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))))>
#<alt (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* (/ 1 (pow u2 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (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 (* -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 (* -1 (+ (log -1) (log (/ 1 u1))))>
#<alt (* -1 (+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1))))>
#<alt (- (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)) (+ (log -1) (log (/ 1 u1))))>
#<alt (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))) (+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1))))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (* -1 (+ (log (/ -1 u1)) (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)) (log (/ -1 u1)))>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)) (log (/ -1 u1)))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* -5/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 5/3))))))>
#<alt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (/ 1 u1)) (* -3 (log (/ 1 u1))))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -3 (log (/ 1 u1))))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (* -3 (log (/ 1 u1))) (* 5/3 (/ 1 (pow u1 3)))))>
#<alt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (/ 1 u1)) (+ (log -1) (* -3 (log (/ -1 u1)))))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 5/3 (/ 1 u1))) u1)) 1) u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -5/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -5/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 5/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 5/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))>
#<alt (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3)))))>
#<alt (+ (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))))>
#<alt (+ (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))))))>
#<alt (+ (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -5/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -5/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))>
#<alt (+ (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))))>
#<alt (+ (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))))))>
#<alt (+ (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))) (+ (* -1/2 (* (/ (+ 5/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))))))>
#<alt (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))>
#<alt (+ (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))))>
#<alt (+ (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)))>
#<alt (+ (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- 5/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) 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 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 (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))>
#<alt (* -2 (log (/ 1 u1)))>
#<alt (+ (* -2 (log (/ 1 u1))) (/ 1 u1))>
#<alt (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))>
#<alt (* -2 (log (/ -1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))>
#<alt (* 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

72 calls:

TimeVariablePointExpression
18.0ms
u2
@inf
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1)))))))) (cos (* (* 2 (PI)) u2)))
8.0ms
u2
@0
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) (+ 1 (* (* u2 u2) (* (PI) (* (PI) -2)))))
1.0ms
u2
@0
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1)))))))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@inf
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) (+ 1 (* (* u2 u2) (* (PI) (* (PI) -2)))))
1.0ms
u1
@-inf
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) (+ 1 (* (* u2 u2) (* (PI) (* (PI) -2)))))

rewrite383.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
4238×*-lowering-*.f32
4238×*-lowering-*.f64
2124×/-lowering-/.f32
2124×/-lowering-/.f64
1808×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055189
1344137
22872132
010084132
Stop Event
iter limit
node limit
Counts
24 → 634
Calls
Call 1
Inputs
(/ (- 0 (* u1 (* u1 u1))) (+ 0 (+ (* u1 u1) (* 0 u1))))
(/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))
(+ 0 (+ (* u1 u1) (* 0 u1)))
(+ (* u1 u1) (* 0 u1))
(sqrt u1)
(- (* -1/4 (pow u1 3/2)) (pow u1 1/2))
(* -1/4 (pow u1 3/2))
(pow u1 3/2)
(pow u1 1/2)
(neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) (+ 1 (* (* u2 u2) (* (PI) (* (PI) -2)))))
(sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))
(neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))
(* (* u1 u1) (+ 1 (/ 1 u1)))
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1)))))))
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1)))))))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1))))))))
(PI)
(* (PI) u2)
(log (/ (+ 1 u1) (- 1 (* u1 u1))))
(* (PI) (* (PI) -2))
(* (* u2 u2) (* (PI) (* (PI) -2)))
(log (+ 1 (* (* u1 u1) (+ 1 (/ 1 u1)))))
(* (* 2 (PI)) u2)
Outputs
(neg.f32 u1)
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1))) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (neg.f32 u1))
(pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) u1)
(/.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1)))
(/.f32 (*.f32 u1 (neg.f32 (*.f32 u1 u1))) (*.f32 u1 u1))
(/.f32 (*.f32 u1 (neg.f32 (*.f32 u1 u1))) (neg.f32 (neg.f32 (*.f32 u1 u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1))))
(/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))))
(/.f32 (neg.f32 (*.f32 u1 u1)) u1)
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))
(/.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))) #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))))
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1))))
(/.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1))))
(/.f32 (*.f32 (*.f32 u1 (neg.f32 (*.f32 u1 u1))) #s(literal 1 binary32)) (*.f32 u1 u1))
(/.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 u1)))
(/.f32 (/.f32 (*.f32 u1 (neg.f32 (*.f32 u1 u1))) u1) u1)
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 u1 u1))))
(*.f32 (*.f32 u1 (neg.f32 (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(*.f32 #s(literal 1 binary32) (neg.f32 u1))
(*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 (/.f32 u1 (*.f32 u1 (neg.f32 (*.f32 u1 u1)))) #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) u1)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 (neg.f32 (*.f32 u1 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (neg.f32 (*.f32 u1 u1)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 u1 (neg.f32 (*.f32 u1 u1))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))
(*.f32 (/.f32 (*.f32 u1 (neg.f32 (*.f32 u1 u1))) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))) (*.f32 u1 u1))
(*.f32 (/.f32 (*.f32 u1 (neg.f32 (*.f32 u1 u1))) (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (neg.f32 (*.f32 u1 u1)))
(*.f32 (pow.f32 (/.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))))
(*.f32 (pow.f32 (/.f32 (*.f32 u1 u1) (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))
(neg.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(cos.f32 (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))
(exp.f32 (log.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32)))
(+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1/2 binary32))
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(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 u2 u2)) (PI.f32)) #s(literal -2 binary32))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 u2 u2)) #s(literal -2 binary32)) (PI.f32))
(*.f32 (*.f32 #s(literal 1 binary32) u2) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 u2 u2))) (*.f32 (PI.f32) #s(literal -2 binary32)))
(log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))))
(+.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))))))
(+.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))))))
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(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (log.f32 (+.f32 (*.f32 u1 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(*.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))
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))

simplify372.0ms (2.8%)

Algorithm
egg-herbie
Rules
5774×*-lowering-*.f32
5774×*-lowering-*.f64
2200×+-lowering-+.f64
2200×+-lowering-+.f32
1670×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05084456
116763583
258003509
083663509
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(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)))
(* -1 (sqrt u1))
(- (* -1/4 (sqrt (pow u1 3))) (sqrt u1))
(- (* -1/4 (sqrt (pow u1 3))) (sqrt u1))
(- (* -1/4 (sqrt (pow u1 3))) (sqrt u1))
(* -1/4 (sqrt (pow u1 3)))
(* (pow u1 2) (+ (* -1 (sqrt (/ 1 (pow u1 3)))) (* -1/4 (sqrt (/ 1 u1)))))
(* (pow u1 2) (+ (* -1 (sqrt (/ 1 (pow u1 3)))) (* -1/4 (sqrt (/ 1 u1)))))
(* (pow u1 2) (+ (* -1 (sqrt (/ 1 (pow u1 3)))) (* -1/4 (sqrt (/ 1 u1)))))
(* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))
(* -1/4 (sqrt (pow u1 3)))
(* -1/4 (sqrt (pow u1 3)))
(* -1/4 (sqrt (pow u1 3)))
(* -1/4 (sqrt (pow u1 3)))
(* -1/4 (sqrt (pow u1 3)))
(* -1/4 (sqrt (pow u1 3)))
(* -1/4 (sqrt (pow u1 3)))
(* -1/4 (sqrt (pow u1 3)))
(* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(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)))
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)))
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(* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))
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(+ (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* 1/2 (* (sqrt u1) (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (sqrt (+ (log -1) (log (/ 1 u1)))))
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(* (sqrt (log (/ -1 u1))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (- 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))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) u1)) (* (sqrt (log (/ -1 u1))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))
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(* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2)))))))
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(* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* (/ 1 (pow u2 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* (/ 1 (pow u2 2)) (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))))))))
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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))))))))))
(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)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* -5/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 5/3))))))
(- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))
(- (+ (* -2 (log (/ 1 u1))) (/ 1 u1)) (* -3 (log (/ 1 u1))))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -3 (log (/ 1 u1))))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (* -3 (log (/ 1 u1))) (* 5/3 (/ 1 (pow u1 3)))))
(- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))
(- (+ (* -2 (log (/ -1 u1))) (/ 1 u1)) (+ (log -1) (* -3 (log (/ -1 u1)))))
(- (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 5/3 (/ 1 u1))) u1)) 1) u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -5/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -5/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 5/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 5/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))
(sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3)))))
(+ (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))))
(+ (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))))))
(+ (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 2) (+ 1 (/ 1 u1))))) (log (+ 1 (pow u1 3))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -5/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -5/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))
(+ (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))))
(+ (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))))))
(+ (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))) (+ (* -1/2 (* (/ (+ 5/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))))))
(sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))
(+ (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))))
(+ (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)))
(+ (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- 5/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) 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))
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)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(* -2 (log (/ 1 u1)))
(+ (* -2 (log (/ 1 u1))) (/ 1 u1))
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
(* -2 (log (/ -1 u1)))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
Outputs
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2)))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -4/45 binary32))) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
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(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
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(pow u1 2)
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(*.f32 u1 u1)
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(sqrt u1)
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(sqrt u1)
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(sqrt u1)
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(sqrt u1)
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(sqrt u1)
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(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* -1 (sqrt u1))
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(- (* -1/4 (sqrt (pow u1 3))) (sqrt u1))
(-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1))
(- (* -1/4 (sqrt (pow u1 3))) (sqrt u1))
(-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1))
(- (* -1/4 (sqrt (pow u1 3))) (sqrt u1))
(-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1))
(* -1/4 (sqrt (pow u1 3)))
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))
(* (pow u1 2) (+ (* -1 (sqrt (/ 1 (pow u1 3)))) (* -1/4 (sqrt (/ 1 u1)))))
(*.f32 (*.f32 u1 u1) (-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(* (pow u1 2) (+ (* -1 (sqrt (/ 1 (pow u1 3)))) (* -1/4 (sqrt (/ 1 u1)))))
(*.f32 (*.f32 u1 u1) (-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(* (pow u1 2) (+ (* -1 (sqrt (/ 1 (pow u1 3)))) (* -1/4 (sqrt (/ 1 u1)))))
(*.f32 (*.f32 u1 u1) (-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
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(*.f32 (*.f32 u1 u1) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))
(*.f32 (*.f32 u1 u1) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))
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(* -1/4 (sqrt (pow u1 3)))
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))
(* -1/4 (sqrt (pow u1 3)))
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))
(* -1/4 (sqrt (pow u1 3)))
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))
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(* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(* -1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(sqrt (pow u1 3))
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
(sqrt (pow u1 3))
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
(sqrt (pow u1 3))
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
(sqrt (pow u1 3))
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
(sqrt (pow u1 3))
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(-.f32 (sqrt.f32 (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (log.f32 #s(literal -1 binary32))) (*.f32 #s(literal 3 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 (-.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (log.f32 #s(literal -1 binary32))) (*.f32 #s(literal 3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) u1) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (log.f32 #s(literal -1 binary32))) (*.f32 #s(literal 3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))))) u1))
(+ (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- 5/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) u1)))
(-.f32 (sqrt.f32 (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (log.f32 #s(literal -1 binary32))) (*.f32 #s(literal 3 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 (-.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (log.f32 #s(literal -1 binary32))) (*.f32 #s(literal 3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (log.f32 #s(literal -1 binary32))) (*.f32 #s(literal 3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 5/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (log.f32 #s(literal -1 binary32))) (*.f32 #s(literal 3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))))) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (log.f32 #s(literal -1 binary32))) (*.f32 #s(literal 3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))))) u1) (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (log.f32 #s(literal -1 binary32))) (*.f32 #s(literal 3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))))))) u1)) u1))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
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 (log.f32 #s(literal -1 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (log.f32 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 (/.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 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 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) #s(literal 1 binary32)) u1) #s(literal 1 binary32)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -2/3 binary32))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -2/3 binary32)))))))
(* -2 (log (/ 1 u1)))
(neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)))
(+ (* -2 (log (/ 1 u1))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32))))
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32))))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
(+.f32 (neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -2/3 binary32) u1)) u1) u1)))
(* -2 (log (/ -1 u1)))
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(+.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -2/3 binary32) u1)) u1) #s(literal 1 binary32)) u1) #s(literal 1 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))

eval112.0ms (0.8%)

Compiler

Compiled 29447 to 3959 computations (86.6% saved)

prune283.0ms (2.1%)

Pruning

77 alts after pruning (69 fresh and 8 done)

PrunedKeptTotal
New1018301048
Fresh183957
Picked415
Done077
Total1040771117
Accuracy
99.8%
Counts
1117 → 77
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
62.7%
(/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) u1)
85.9%
(/.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
85.9%
(/.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 u2 (*.f32 u2 u2))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -8 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (-.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))))
62.7%
(/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32)))
5.4%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 1/2 binary32))) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32)) u1)))
62.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
5.4%
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
5.4%
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1))
5.3%
(-.f32 (neg.f32 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))
85.2%
(*.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
86.0%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
5.4%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
5.4%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal -1 binary32))
77.5%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
88.5%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
48.5%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))) (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
67.8%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))) (sqrt.f32 u1))
48.5%
(*.f32 (*.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 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
62.8%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 u1 u1))
62.7%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u1)
86.0%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
92.9%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))))
92.9%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
81.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
93.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.5%
(*.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))))))))) #s(literal 1 binary32))
80.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
91.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
88.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))))
88.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
77.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
88.3%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
70.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
72.2%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) #s(literal 1 binary32))
74.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 #s(literal -1/4 binary32) (*.f32 u1 u1))))))))) (log1p.f32 u1)))) #s(literal 1 binary32))
85.9%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -2/3 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 (*.f32 u1 u1)))) (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
71.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
78.2%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)))) (log1p.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 u1 (neg.f32 (*.f32 u1 u1))) u1) u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) u1))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
85.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))))
97.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (pow.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) #s(literal 2 binary32)) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
94.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 u1))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
73.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
98.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 (*.f32 u1 (neg.f32 (*.f32 u1 u1))) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))) (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
92.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) #s(literal 2 binary32)))))
85.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)))))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
86.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
76.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
51.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
47.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
45.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) #s(literal 1 binary32))
76.7%
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))))
76.8%
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
76.7%
(*.f32 (sqrt.f32 u1) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
67.8%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
4.0%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
76.9%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
5.4%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
5.4%
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
4.7%
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))
45.0%
(sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
62.8%
(sqrt.f32 u1)
62.1%
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
Compiler

Compiled 4340 to 1804 computations (58.4% saved)

regimes409.0ms (3.1%)

Counts
120 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32)))
(/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) u1)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u1)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 u1 u1))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 1/2 binary32)))
(-.f32 (neg.f32 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) #s(literal 1 binary32))
(+.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
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(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (+.f32 #s(literal -1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(+.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))) (+.f32 #s(literal -1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 8 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 8 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 (*.f32 u1 u1))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Calls

10 calls:

60.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
52.0ms
u1
42.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
42.0ms
cosTheta_i
35.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
Results
AccuracySegmentsBranch
98.8%1cosTheta_i
98.8%1u1
98.8%1u2
98.8%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.8%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.8%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.8%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.8%1(-.f32 #s(literal 1 binary32) u1)
98.8%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.8%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes203.0ms (1.5%)

Counts
59 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32)))
(/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) u1)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u1)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 u1 u1))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 1/2 binary32)))
(-.f32 (neg.f32 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) #s(literal 1 binary32))
(+.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 1/2 binary32))) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))) (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (*.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 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 #s(literal -1/4 binary32) (*.f32 u1 u1))))))))) (log1p.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))))
(/.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(/.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 u2 (*.f32 u2 u2))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -8 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (-.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

44.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
28.0ms
cosTheta_i
25.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
22.0ms
u2
18.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
93.2%1cosTheta_i
96.9%2u1
97.4%2u2
96.9%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
96.9%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
96.9%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
96.9%2(-.f32 #s(literal 1 binary32) u1)
97.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes50.0ms (0.4%)

Counts
50 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32)))
(/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) u1)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u1)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 u1 u1))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 1/2 binary32)))
(-.f32 (neg.f32 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) #s(literal 1 binary32))
(+.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 1/2 binary32))) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

3 calls:

17.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
16.0ms
u2
13.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
97.1%2u2
97.1%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.1%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes108.0ms (0.8%)

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

8 calls:

18.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
13.0ms
u2
13.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
13.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
13.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
95.6%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
95.6%2(-.f32 #s(literal 1 binary32) u1)
95.6%2u1
95.6%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
95.6%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
96.6%2u2
96.6%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
96.6%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes126.0ms (1%)

Counts
41 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32)))
(/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) u1)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u1)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 u1 u1))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 1/2 binary32)))
(-.f32 (neg.f32 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) #s(literal 1 binary32))
(+.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
Calls

9 calls:

23.0ms
u1
18.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
13.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
13.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
12.0ms
cosTheta_i
Results
AccuracySegmentsBranch
93.0%2u1
93.0%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
93.0%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
93.0%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
93.0%2(-.f32 #s(literal 1 binary32) u1)
88.3%1cosTheta_i
93.7%2u2
93.7%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
93.7%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes131.0ms (1%)

Counts
38 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32)))
(/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) u1)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u1)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 u1 u1))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 1/2 binary32)))
(-.f32 (neg.f32 (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

26.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
19.0ms
u1
18.0ms
u2
15.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
10.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
81.6%1cosTheta_i
87.9%2u1
87.9%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
87.9%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
87.9%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
87.9%2(-.f32 #s(literal 1 binary32) u1)
90.5%2u2
90.5%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
90.5%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes68.0ms (0.5%)

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

6 calls:

19.0ms
u1
17.0ms
u2
8.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
7.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
7.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
81.6%1u1
81.6%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
81.6%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
81.6%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
81.6%1(-.f32 #s(literal 1 binary32) u1)
81.6%1u2
Compiler

Compiled 38 to 32 computations (15.8% saved)

regimes20.0ms (0.1%)

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

3 calls:

7.0ms
cosTheta_i
6.0ms
u1
6.0ms
u2
Results
AccuracySegmentsBranch
80.2%1cosTheta_i
80.2%1u1
80.2%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.1%)

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

3 calls:

6.0ms
u2
5.0ms
u1
5.0ms
cosTheta_i
Results
AccuracySegmentsBranch
77.4%1cosTheta_i
77.4%1u2
77.4%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.1%)

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

3 calls:

7.0ms
cosTheta_i
5.0ms
u2
5.0ms
u1
Results
AccuracySegmentsBranch
77.4%2u2
73.5%1cosTheta_i
77.1%2u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.1%)

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

3 calls:

7.0ms
u2
5.0ms
u1
5.0ms
cosTheta_i
Results
AccuracySegmentsBranch
72.6%1cosTheta_i
76.2%2u1
76.6%2u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

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

1 calls:

5.0ms
u2
Results
AccuracySegmentsBranch
76.6%2u2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

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

3 calls:

5.0ms
cosTheta_i
4.0ms
u2
4.0ms
u1
Results
AccuracySegmentsBranch
70.6%1cosTheta_i
74.2%2u1
74.7%2u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

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

2 calls:

4.0ms
u2
4.0ms
u1
Results
AccuracySegmentsBranch
70.6%1u1
70.6%1u2
Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.1%)

Accuracy

Total -19.0b remaining (-159.6%)

Threshold costs -19b (-159.6%)

Counts
9 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32)))
(/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) u1)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u1)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))
Outputs
(sqrt.f32 u1)
Calls

3 calls:

3.0ms
u1
3.0ms
u2
3.0ms
cosTheta_i
Results
AccuracySegmentsBranch
62.8%1cosTheta_i
62.8%1u2
62.8%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.08466421812772751
0.10799850523471832
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.08466421812772751
0.10799850523471832
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.10799850523471832
0.12226931750774384
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999889731407166
0.9999894499778748
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.12226931750774384
0.12362828105688095
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0008092464413493872
0.0008102607680484653
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0008092464413493872
0.0008102607680484653
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0008092464413493872
0.0008102607680484653
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0008092464413493872
0.0008102607680484653
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
72×*-commutative_binary32
20×+-commutative_binary32
*-rgt-identity_binary32
neg-sub0_binary32
neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081420
1136420
2140420
3142420
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 16106127/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777031/16777216 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 16508781/134217728 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(if (<=.f32 u2 #s(literal 6957847/8589934592 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))) (sqrt.f32 u1)))
(if (<=.f32 u2 #s(literal 6957847/8589934592 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))) (sqrt.f32 u1)))
(if (<=.f32 u2 #s(literal 6957847/8589934592 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(if (<=.f32 u2 #s(literal 6957847/8589934592 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(sqrt.f32 u1)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #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 16106127/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 16106127/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777031/16777216 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 16777031/16777216 binary32)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 16508781/134217728 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 16508781/134217728 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) (*.f32 (cos.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 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.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 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.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 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(if (<=.f32 u2 #s(literal 6957847/8589934592 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))) (sqrt.f32 u1)))
(if (<=.f32 u2 #s(literal 6957847/8589934592 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2)))))))
(if (<=.f32 u2 #s(literal 6957847/8589934592 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))) (sqrt.f32 u1)))
(if (<=.f32 u2 #s(literal 6957847/8589934592 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2)))))))
(if (<=.f32 u2 #s(literal 6957847/8589934592 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(if (<=.f32 u2 #s(literal 6957847/8589934592 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 u1)))
(if (<=.f32 u2 #s(literal 6957847/8589934592 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(if (<=.f32 u2 #s(literal 6957847/8589934592 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(sqrt.f32 u1)

soundness1.7s (12.8%)

Rules
8424×*-lowering-*.f32
8424×*-lowering-*.f64
5774×*-lowering-*.f32
5774×*-lowering-*.f64
5686×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04975177
116254017
259893977
081563977
05084456
116763583
258003509
083663509
053164
1283158
22109144
08610144
07888075
127456628
085846628
01313
12512
23812
34812
46212
57912
610112
711512
812712
912812
012812
03063514
19822874
234892640
080432640
Stop Event
fuel
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1304 to 780 computations (40.2% saved)

preprocess68.0ms (0.5%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 1238 to 496 computations (59.9% saved)

end0.0ms (0%)

Profiling

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