Beckmann Sample, near normal, slope_x

Time bar (total: 15.0s)

analyze447.0ms (3%)

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: 300.0ms
...c/correct-round.rkt:119:19: 75.0ms (25% of total)
ival-mult: 44.0ms (14.7% of total)
ival-log: 38.0ms (12.7% of total)
ival-<=: 35.0ms (11.7% of total)
ival-pi: 27.0ms (9% of total)
ival-cos: 22.0ms (7.3% of total)
ival-sqrt: 13.0ms (4.3% of total)
ival-sub: 12.0ms (4% of total)
ival->: 12.0ms (4% of total)
ival-and: 9.0ms (3% of total)
ival-neg: 9.0ms (3% of total)
const: 2.0ms (0.7% of total)
backward-pass: 1.0ms (0.3% of total)

sample2.2s (14.8%)

Results
1.8s8256×0valid
1.0ms0precondition
Precisions
Click to see histograms. Total time spent on operations: 1.4s
...c/correct-round.rkt:119:19: 368.0ms (26.1% of total)
ival-log: 225.0ms (16% of total)
ival-mult: 201.0ms (14.3% of total)
ival-<=: 166.0ms (11.8% of total)
ival-cos: 123.0ms (8.7% of total)
ival-sqrt: 82.0ms (5.8% of total)
ival-sub: 54.0ms (3.8% of total)
ival-pi: 51.0ms (3.6% of total)
ival->: 48.0ms (3.4% of total)
ival-neg: 41.0ms (2.9% of total)
ival-and: 39.0ms (2.8% of total)
const: 8.0ms (0.6% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess78.0ms (0.5%)

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)

explain164.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2096(0.9999725222587585 0.005620001349598169 2.4491234853485366e-6)8(0.999944806098938 0.018761545419692993 3.170098406002353e-9)(log.f32 (-.f32 #s(literal 1 binary32) u1))
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-(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
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
108.0ms512×0valid
Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-log: 35.0ms (47% of total)
ival-mult: 11.0ms (14.8% of total)
ival-cos: 10.0ms (13.4% of total)
ival-pi: 8.0ms (10.7% of total)
ival-sub: 3.0ms (4% of total)
ival-sqrt: 3.0ms (4% of total)
ival-neg: 2.0ms (2.7% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 13 computations (13.3% saved)

prune6.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
54.8%
(*.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-diff32
(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff32
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff32
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff32
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Rules
40×sum3-define
40×*-lowering-*.f32
40×*-lowering-*.f64
32×+-lowering-+.f64
32×+-lowering-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02290
14190
25590
36590
48490
510490
612190
713690
813790
013790
Stop Event
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

localize91.0ms (0.6%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
accuracy99.8%
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
accuracy99.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
accuracy98.9%
(*.f32 (PI.f32) u2)
accuracy99.8%
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy52.7%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
65.0ms256×0valid
Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 12.0ms (25.4% of total)
ival-log: 10.0ms (21.2% of total)
ival-cos: 7.0ms (14.8% of total)
compiled-spec: 7.0ms (14.8% of total)
ival-sqrt: 4.0ms (8.5% of total)
ival-neg: 4.0ms (8.5% of total)
ival-sub: 2.0ms (4.2% of total)
ival-pi: 1.0ms (2.1% of total)
ival-add: 1.0ms (2.1% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series47.0ms (0.3%)

Counts
12 → 168
Calls
Call 1
Inputs
#<alt (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (log (- 1 u1)))>
#<alt (log (- 1 u1))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (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 (* (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 (* (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
30.0ms
u2
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
3.0ms
u1
@0
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms
u2
@0
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms
u1
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@-inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

rewrite268.0ms (1.8%)

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
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(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
(+.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))))))))
(+.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 (+.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)))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #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 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (pow.f32 (-.f32 #s(literal 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)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(fma.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))))))))
(fma.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 (+.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)))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(fma.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #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))))
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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))))

simplify325.0ms (2.2%)

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
234812640
080342640
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* (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)))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (sqrt u1) (* (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
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* -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 (sqrt.f32 u1) #s(literal -1 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)))))))))
(+.f32 (*.f32 (*.f32 u1 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/4 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) (*.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 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (*.f32 u1 #s(literal -1/2 binary32))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 #s(literal -1/6 binary32) u1) #s(literal -1/4 binary32))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (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)))))))
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(+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) u1))))))
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(+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (*.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1) u1)) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
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(* 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 1/2 binary32) (*.f32 u1 u1)) (-.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal -1/3 binary32))))))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* -1 (log (/ -1 u1)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (/.f32 #s(literal -1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.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 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 u2 (*.f32 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 (*.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 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 u2 (*.f32 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 (*.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))))

eval48.0ms (0.3%)

Compiler

Compiled 14387 to 1281 computations (91.1% saved)

prune80.0ms (0.5%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New51520535
Fresh000
Picked022
Done000
Total51522537
Accuracy
99.8%
Counts
537 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(*.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)))
95.5%
(*.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.3%
(*.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)))
74.6%
(*.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)))
99.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
99.0%
(*.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)))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (/.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)))))))
99.0%
(*.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)))))))
98.7%
(*.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))))
99.0%
(*.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))))
94.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 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)))))))))
91.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
98.7%
(*.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)))))
99.2%
(*.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))))))))
99.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
83.9%
(*.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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
54.8%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
78.9%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 1033 to 711 computations (31.2% saved)

simplify282.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
cost-diff32
(neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
cost-diff32
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
cost-diff32
(*.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-diff64
(*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
cost-diff64
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
cost-diff192
(/.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-diff192
(*.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-diff0
(log1p.f32 (neg.f32 u1))
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
cost-diff0
(log1p.f32 (neg.f32 u1))
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff64
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
cost-diff9824
(*.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)))))
cost-diff9824
(*.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))))))
cost-diff9824
(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)))))))
cost-diff9824
(*.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))))))))
Rules
3890×associate-*r*
3410×*-lowering-*.f32
3410×*-lowering-*.f64
1570×associate-*l*
1144×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048390
1121353
2271290
3625287
41413287
51927287
62217287
72644287
82818287
93014287
103280287
113713287
124084287
134313287
144339287
154351287
164351287
175800287
185873287
195874287
206262287
216262287
226262287
237032287
07032287
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))
(* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))
2
(* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))
(pow (PI) 1/3)
(PI)
1/3
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))
(* u2 (pow (PI) 1/3))
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 (neg u1))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))
1
(* u2 (* u2 (* -2 (* (PI) (PI)))))
u2
(* u2 (* -2 (* (PI) (PI))))
(* -2 (* (PI) (PI)))
-2
(* (PI) (PI))
(PI)
(* (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 (* 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
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))
(*.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 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))
(*.f32 (PI.f32) u2)
(pow (PI) 1/3)
(pow.f32 (PI.f32) #s(literal 1/3 binary32))
(PI)
(PI.f32)
1/3
#s(literal 1/3 binary32)
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(* u2 (pow (PI) 1/3))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)
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 (neg u1))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 #s(literal -2 binary32)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))
(+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 #s(literal -2 binary32))))))
1
#s(literal 1 binary32)
(* u2 (* u2 (* -2 (* (PI) (PI)))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 #s(literal -2 binary32)))))
u2
(* u2 (* -2 (* (PI) (PI))))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(* -2 (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))
-2
#s(literal -2 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(* (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 (* 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

localize431.0ms (2.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy99.1%
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
accuracy99.1%
(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
accuracy79.5%
(PI.f32)
accuracy99.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
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)
accuracy79.5%
(PI.f32)
accuracy99.3%
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))
accuracy99.1%
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
accuracy97.6%
(*.f32 (PI.f32) (PI.f32))
accuracy79.5%
(PI.f32)
accuracy100.0%
(neg.f32 (log1p.f32 (neg.f32 u1)))
accuracy100.0%
(neg.f32 u1)
accuracy100.0%
(log1p.f32 (neg.f32 u1))
accuracy99.8%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
accuracy99.5%
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
accuracy99.2%
(*.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)))))
accuracy99.1%
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
accuracy79.5%
(PI.f32)
Results
132.0ms56×5exit
120.0ms73×1valid
73.0ms127×0valid
Compiler

Compiled 392 to 47 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 250.0ms
ival-mult: 62.0ms (24.8% of total)
compiled-spec: 46.0ms (18.4% of total)
backward-pass: 44.0ms (17.6% of total)
ival-log: 21.0ms (8.4% of total)
ival-add: 18.0ms (7.2% of total)
ival-cos: 13.0ms (5.2% of total)
ival-pow: 11.0ms (4.4% of total)
ival-sqrt: 8.0ms (3.2% of total)
...c/correct-round.rkt:119:19: 7.0ms (2.8% of total)
ival-neg: 7.0ms (2.8% of total)
ival-div: 6.0ms (2.4% of total)
ival-pi: 2.0ms (0.8% of total)
ival-sub: 2.0ms (0.8% of total)
const: 1.0ms (0.4% of total)

series75.0ms (0.5%)

Counts
28 → 360
Calls
Call 1
Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))>
#<alt (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))>
#<alt (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))>
#<alt (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) 1)>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))))>
#<alt (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))>
#<alt (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))>
#<alt (* 1 (cos (* 2 (* (PI) u2))))>
#<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 (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))>
#<alt (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))>
#<alt (PI)>
#<alt (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))>
#<alt (* u2 (pow (PI) 1/3))>
#<alt (neg u1)>
#<alt (* (PI) (PI))>
#<alt (* u2 (* -2 (* (PI) (PI))))>
#<alt (* u2 (* u2 (* -2 (* (PI) (PI)))))>
#<alt (* (PI) u2)>
#<alt (log (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 u1))>
#<alt (* (* 2 (PI)) u2)>
Outputs
#<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 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))))>
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#<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)))))>
#<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 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3)))))>
#<alt (+ (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))))>
#<alt (+ (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))))))>
#<alt (+ (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 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 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 (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* 5/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (+ 5/3 (* -1/4 u1))) 1/2)) 1))>
#<alt (- (* -3 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))>
#<alt (- (* -3 (log (/ 1 u1))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -2 (log (/ 1 u1))))>
#<alt (- (+ (* -3 (log (/ 1 u1))) (* 5/3 (/ 1 (pow u1 3)))) (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))>
#<alt (- (+ (log -1) (* -3 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (log -1) (* -3 (log (/ -1 u1)))) (+ (* -2 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- (* 5/3 (/ 1 u1)) 1/2) u1))) u1)))) (* -2 (log (/ -1 u1))))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt 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 u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
Calls

90 calls:

TimeVariablePointExpression
31.0ms
u2
@inf
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))
11.0ms
u1
@-inf
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))
2.0ms
u2
@0
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))
2.0ms
u2
@0
(* u2 (pow (PI) 1/3))
1.0ms
u2
@0
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))

rewrite320.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
3630×*-lowering-*.f32
3630×*-lowering-*.f64
2480×/-lowering-/.f32
2480×/-lowering-/.f64
1456×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048233
1233156
21666145
08537145
Stop Event
iter limit
node limit
Counts
28 → 784
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))
(cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))
(* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))
(* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))))
(/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))
(/ 1 (* 1 (cos (* 2 (* (PI) u2)))))
(* 1 (cos (* 2 (* (PI) u2))))
(* (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)))))
(PI)
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))
(* u2 (pow (PI) 1/3))
(neg u1)
(* (PI) (PI))
(* u2 (* -2 (* (PI) (PI))))
(* u2 (* u2 (* -2 (* (PI) (PI)))))
(* (PI) u2)
(log (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 u1))
(* (* 2 (PI)) u2)
Outputs
(exp.f32 (+.f32 (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/2 binary32)) (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)))) (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/2 binary32))))
(exp.f32 (-.f32 (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/2 binary32)) (neg.f32 (log.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
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(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (+.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (-.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(+.f32 u1 (*.f32 u1 u1))
(+.f32 (*.f32 u1 u1) u1)
(fma.f32 #s(literal 1 binary32) u1 (*.f32 u1 u1))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) u1)
(fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(fma.f32 (neg.f32 u1) (neg.f32 u1) u1)
(fma.f32 #s(literal -1 binary32) (*.f32 u1 (neg.f32 u1)) u1)
(fma.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)) u1 u1)
(-.f32 u1 (*.f32 u1 (neg.f32 u1)))
(-.f32 u1 (*.f32 (neg.f32 u1) u1))
(-.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 (*.f32 u1 u1))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (-.f32 u1 (*.f32 u1 u1))))
(/.f32 (+.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 u1 (*.f32 u1 u1)))))
(/.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1)) (-.f32 u1 (*.f32 u1 u1)))
(/.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 (+.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1)))) (neg.f32 (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 u1 (*.f32 u1 u1))))))
(/.f32 (neg.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1))) (neg.f32 (-.f32 u1 (*.f32 u1 u1))))
(/.f32 (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) u1)) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) u1)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))
(*.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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))

simplify407.0ms (2.7%)

Algorithm
egg-herbie
Rules
6826×*-lowering-*.f32
6826×*-lowering-*.f64
3490×+-lowering-+.f64
3490×+-lowering-+.f32
1710×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06597046
122715647
082675647
Stop Event
iter limit
node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* (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))))
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))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* (sqrt u1) (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)))
(* (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)))))
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(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)))
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)))))
(* -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))
(- (* -3 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))
(- (* -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))))
(- (+ (log -1) (* -3 (log (/ -1 u1)))) (+ (* -2 (log (/ -1 u1))) (/ 1 u1)))
(- (+ (log -1) (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -2 (log (/ -1 u1))))
(- (+ (log -1) (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- (* 5/3 (/ 1 u1)) 1/2) u1))) u1)))) (* -2 (log (/ -1 u1))))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (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 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (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)))
(* -2 (* (pow u2 2) (pow (PI) 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))
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)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* -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 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))))))
(+ (* (sqrt u1) (* (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 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 (+.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (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 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32))))
(+ (* -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))))))))
(+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1)))))
(+ (* -1/2 (* (/ (* (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)))))))))
(+.f32 (+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))))) (*.f32 u1 (*.f32 u1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(*.f32 #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) 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)))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) 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)))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1))))) 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)))))
(-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1))))) u1)) u1))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(+ (* (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))))))))
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(neg.f32 u1)
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (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))
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)))
(*.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1)) #s(literal -2 binary32))
(+ (* -2 (log (/ 1 u1))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1)) #s(literal -2 binary32)))
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 0 binary32) (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 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1)) #s(literal -2 binary32)))) (/.f32 #s(literal -2/3 binary32) (*.f32 u1 (*.f32 u1 u1))))
(* -2 (log (/ -1 u1)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) 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))) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -2/3 binary32) u1)) (neg.f32 u1))) u1))
u1
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))

eval261.0ms (1.7%)

Compiler

Compiled 58144 to 5072 computations (91.3% saved)

prune583.0ms (3.9%)

Pruning

41 alts after pruning (37 fresh and 4 done)

PrunedKeptTotal
New1919291948
Fresh7815
Picked325
Done022
Total1929411970
Accuracy
99.9%
Counts
1970 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.2%
(pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32))
83.3%
(+.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))))))
90.0%
(*.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)))
90.3%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.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))))))))
88.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
95.5%
(*.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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))))))))) #s(literal 1 binary32))
93.6%
(*.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))))))) (/.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)))))))
86.9%
(*.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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
93.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
80.4%
(*.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))
89.7%
(*.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)))))))
83.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
89.8%
(*.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)))
77.3%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
83.9%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
74.6%
(*.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)))
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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
46.3%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
97.5%
(*.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)))
97.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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)))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.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))) #s(literal 1 binary32)))
99.0%
(*.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)))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (/.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)))))))
91.3%
(*.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)))))))))
98.9%
(*.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) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)))))))
90.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))))
99.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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)))))
94.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))))))
91.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
99.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
83.9%
(*.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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
54.8%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
78.8%
(*.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)))))))
73.8%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
3.7%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
78.9%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
69.6%
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
3.9%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
Compiler

Compiled 1795 to 1274 computations (29% saved)

simplify235.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
cost-diff32
(neg.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))
cost-diff32
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))
cost-diff32
(*.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)))
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff128
(/.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))))))))
cost-diff128
(*.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)))))))))
cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
cost-diff0
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
cost-diff0
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff32
(+.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))))
cost-diff32
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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)))))
Rules
2728×fma-lowering-fma.f32
2728×fma-lowering-fma.f64
1738×*-lowering-*.f32
1738×*-lowering-*.f64
1718×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056415
1151367
2398361
31148353
42225353
53692353
65333353
77114353
08039353
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))
(+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))
1/2
(* 1/2 (cos (* 2 (* (PI) u2))))
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))
(neg (sin (* (PI) u2)))
(sin (* (PI) u2))
(* (sqrt u1) -1)
(sqrt u1)
u1
-1
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
1
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
1/2
(* u1 (+ 1/3 (* u1 1/4)))
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))
(* u2 (* u2 (* -2 (* (PI) (PI)))))
u2
(* u2 (* -2 (* (PI) (PI))))
(* -2 (* (PI) (PI)))
-2
(* (PI) (PI))
(PI)
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(/ 1 (/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))))
1
(/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))
(* u2 (* u2 (* -2 (* (PI) (PI)))))
u2
(* u2 (* -2 (* (PI) (PI))))
(* -2 (* (PI) (PI)))
-2
(* (PI) (PI))
(PI)
(* (sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))
(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)))
(* u1 u1)
u1
(log (+ 1 u1))
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))
(+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
(+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
1/2
#s(literal 1/2 binary32)
(* 1/2 (cos (* 2 (* (PI) u2))))
(*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(cos (* 2 (* (PI) u2)))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* 2 (* (PI) u2))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))
(neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(neg (sin (* (PI) u2)))
(neg.f32 (sin.f32 (*.f32 (PI.f32) u2)))
(sin (* (PI) u2))
(sin.f32 (*.f32 (PI.f32) u2))
(* (sqrt u1) -1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
u1
-1
#s(literal -1 binary32)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
1
#s(literal 1 binary32)
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
1/2
#s(literal 1/2 binary32)
(* u1 (+ 1/3 (* u1 1/4)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(+ 1/3 (* u1 1/4))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
1/3
#s(literal 1/3 binary32)
(* u1 1/4)
(*.f32 u1 #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(* u2 (* u2 (* -2 (* (PI) (PI)))))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
u2
(* u2 (* -2 (* (PI) (PI))))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))
-2
#s(literal -2 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(/ 1 (/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
1
#s(literal 1 binary32)
(/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(* u2 (* u2 (* -2 (* (PI) (PI)))))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
u2
(* u2 (* -2 (* (PI) (PI))))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))
-2
#s(literal -2 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(* (sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(- (log (+ 1 (* u1 u1))) (log (+ 1 u1)))
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(log (+ 1 (* u1 u1)))
(log1p.f32 (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
u1
(log (+ 1 u1))
(log1p.f32 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

localize323.0ms (2.1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))
accuracy99.6%
(*.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)))
accuracy99.4%
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy99.2%
(/.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))))))))
accuracy99.1%
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))
accuracy98.9%
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy99.1%
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))
accuracy99.0%
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
accuracy98.9%
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy100.0%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
accuracy100.0%
(sqrt.f32 u1)
accuracy99.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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)))))
accuracy99.3%
(+.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))))
accuracy98.9%
(*.f32 (PI.f32) u2)
accuracy98.4%
(*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))
Results
136.0ms205×0valid
76.0ms51×1valid
Compiler

Compiled 450 to 55 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 159.0ms
ival-mult: 43.0ms (27.1% of total)
compiled-spec: 25.0ms (15.7% of total)
ival-add: 22.0ms (13.9% of total)
ival-log: 16.0ms (10.1% of total)
ival-sqrt: 10.0ms (6.3% of total)
backward-pass: 10.0ms (6.3% of total)
ival-neg: 8.0ms (5% of total)
ival-cos: 7.0ms (4.4% of total)
...c/correct-round.rkt:119:19: 5.0ms (3.1% of total)
ival-div: 4.0ms (2.5% of total)
ival-sin: 4.0ms (2.5% of total)
const: 2.0ms (1.3% of total)
ival-sub: 2.0ms (1.3% of total)
ival-pi: 1.0ms (0.6% of total)

series115.0ms (0.8%)

Counts
23 → 312
Calls
Call 1
Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))))>
#<alt (+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (* (sqrt u1) -1)>
#<alt (sqrt u1)>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))>
#<alt (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))>
#<alt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))))>
#<alt (/ 1 (/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))))>
#<alt (* (sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1)))))>
#<alt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))>
#<alt (- (log (+ 1 (* u1 u1))) (log (+ 1 u1)))>
#<alt (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))>
#<alt (* (PI) u2)>
#<alt (* (PI) (PI))>
#<alt (* u2 (* -2 (* (PI) (PI))))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))>
#<alt (* u2 (* u2 (* -2 (* (PI) (PI)))))>
#<alt (* (* 2 (PI)) u2)>
Outputs
#<alt (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
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#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* 1/2 u1)>
#<alt (* u1 (+ 1/2 (* 1/3 u1)))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
Calls

78 calls:

TimeVariablePointExpression
45.0ms
u2
@inf
(* (sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))
37.0ms
u2
@-inf
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))))
4.0ms
u2
@0
(* (sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))
3.0ms
u1
@inf
(* (sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))
1.0ms
u2
@inf
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))))

rewrite374.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
2796×*-lowering-*.f32
2796×*-lowering-*.f64
2554×fma-lowering-fma.f32
2554×fma-lowering-fma.f64
1784×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056239
1307185
22544178
08269178
Stop Event
iter limit
node limit
Counts
23 → 428
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))))
(+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(* (sqrt u1) -1)
(sqrt u1)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))))
(/ 1 (/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))))
(* (sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1)))))
(neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))
(- (log (+ 1 (* u1 u1))) (log (+ 1 u1)))
(* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))
(* (PI) u2)
(* (PI) (PI))
(* u2 (* -2 (* (PI) (PI))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(* u2 (* u2 (* -2 (* (PI) (PI)))))
(* (* 2 (PI)) u2)
Outputs
(+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #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 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (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 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (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 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #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 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(fma.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(fma.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #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 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (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))))))))
(fma.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (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 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #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)))))))
(fma.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(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))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (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))))))))
(fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.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 (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.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)))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.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 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (PI.f32) u2))) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #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)))))))
(fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2)))) (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #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 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #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 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 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 0 binary32) (log1p.f32 u1)) #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 (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #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)))))) #s(literal 3 binary32)) (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (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))))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #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)))))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (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))))))) #s(literal 2 binary32)) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #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 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (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 (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #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)))))) #s(literal 2 binary32)) (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (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))))))) #s(literal 2 binary32))) (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #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 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (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 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 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 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.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 (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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32))) #s(literal 1 binary32))
(/.f32 (*.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))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.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 (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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
(/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(literal 1 binary32))
(*.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(cos.f32 (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))
(+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #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 (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 1/2 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) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (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))))))))
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(/.f32 (*.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))))) u1) (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) (-.f32 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) #s(literal 1/2 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))) 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 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) u1)
(*.f32 (*.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 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) u2)
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)) #s(literal 1 binary32))
(*.f32 (*.f32 u2 #s(literal -2 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2))
(*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(*.f32 (*.f32 #s(literal 1 binary32) u2) (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2))) u2)
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(*.f32 (*.f32 u2 (*.f32 u2 #s(literal -2 binary32))) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))
(*.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))

simplify487.0ms (3.2%)

Algorithm
egg-herbie
Rules
7162×*-lowering-*.f32
7162×*-lowering-*.f64
4988×+-lowering-+.f64
4988×+-lowering-+.f32
1624×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08087337
128815716
084365716
Stop Event
iter limit
node limit
Counts
312 → 312
Calls
Call 1
Inputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))
(* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* -1/2 (* (/ (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/2 (* (/ (* (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(* (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) (+ (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6))))) (sqrt (log (- 1 u1)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6)))))))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(* (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))
(* -1 (sqrt u1))
(* -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)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))
(+ (* (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)))))))))
(+ (* (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 u1 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))
(* (pow u1 2) (+ (* 1/3 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1)) (* 1/2 (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))
(* (pow u1 2) (+ (* 1/3 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1)) (+ (* 7/18 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (pow u1 2))) (* 1/2 (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))
(* (pow u1 2) (+ (* 1/3 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1)) (+ (* 7/18 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (pow u1 2))) (+ (* 1/2 (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (* 20/27 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (pow u1 3)))))))
(* (pow u1 2) (* (sqrt -1) (* (sqrt -1/4) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))
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u1
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1
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1
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(+ (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))))
(+ (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 3/2 (* 1/4 (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))))) u1)))
(+ (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 3/2 (* 1/4 (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 3/2 (* 1/4 (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) u1)))
u1
(* u1 (+ 1 (* -3/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 3/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* 1/4 u1))) 3/2))))
(- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (* -2 (log (/ 1 u1))))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (/ 3/2 (pow u1 2))))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (* -2 (log (/ 1 u1))) (/ 3/2 (pow u1 2))))
(- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))
(- (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 3/2 (/ 1 u1)) 1) u1)))) (* -2 (log (/ -1 u1))))
(- (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 3/2) u1)) 1) u1)))) (* -2 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* 3/2 u1) 1))
(* u1 (- (* u1 (+ 3/2 (* -1/3 u1))) 1))
(* u1 (- (* u1 (+ 3/2 (* u1 (- (* -1/4 u1) 1/3)))) 1))
(- (* -2 (log (/ 1 u1))) (* -1 (log (/ 1 u1))))
(- (* -2 (log (/ 1 u1))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(- (+ (* -2 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(- (+ (* -2 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))))
(- (* -2 (log (/ -1 u1))) (+ (log -1) (* -1 (log (/ -1 u1)))))
(- (* -2 (log (/ -1 u1))) (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- 1 (* 3/2 (/ 1 u1))) u1))) (+ (log -1) (* -1 (log (/ -1 u1)))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- 3/2 (* 1/3 (/ 1 u1))) u1))) u1))) (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4)))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 1/3 (pow (PI) 4))))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))) (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 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))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* 1/2 u1)
(* u1 (+ 1/2 (* 1/3 u1)))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* 1/4 (pow u1 3))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* 1/4 (pow u1 3))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(* -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)))
(* 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
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(*.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))
(+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))
(+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (*.f32 u1 (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))))))))
(* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) u1))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 u1 u1))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) u1)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 u1 u1))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) u1))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(+ (* -1/2 (* (/ (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
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(- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))
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(- (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1))) (* -2 (log (/ -1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 3/2 (/ 1 u1)) 1) u1)))) (* -2 (log (/ -1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -3/2 binary32) u1) #s(literal 1 binary32)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 3/2) u1)) 1) u1)))) (* -2 (log (/ -1 u1))))
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(* -1 u1)
(neg.f32 u1)
(* u1 (- (* 3/2 u1) 1))
(*.f32 u1 (+.f32 (*.f32 u1 #s(literal 3/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (+ 3/2 (* -1/3 u1))) 1))
(*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 3/2 binary32) (*.f32 u1 #s(literal -1/3 binary32)))) #s(literal -1 binary32)))
(* u1 (- (* u1 (+ 3/2 (* u1 (- (* -1/4 u1) 1/3)))) 1))
(*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 3/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal -1/4 binary32)) #s(literal -1/3 binary32))))) #s(literal -1 binary32)))
(- (* -2 (log (/ 1 u1))) (* -1 (log (/ 1 u1))))
(log.f32 u1)
(- (* -2 (log (/ 1 u1))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(-.f32 (log.f32 u1) (/.f32 #s(literal 1 binary32) u1))
(- (+ (* -2 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 3/2 binary32) (*.f32 u1 u1)) (-.f32 (log.f32 u1) (/.f32 #s(literal 1 binary32) u1)))
(- (+ (* -2 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))))
(-.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) (*.f32 u1 u1)) (-.f32 (log.f32 u1) (/.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))))
(- (* -2 (log (/ -1 u1))) (+ (log -1) (* -1 (log (/ -1 u1)))))
(-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (* -2 (log (/ -1 u1))) (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1))))
(-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- 1 (* 3/2 (/ 1 u1))) u1))) (+ (log -1) (* -1 (log (/ -1 u1)))))
(-.f32 (-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -3/2 binary32) u1)) u1)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- 3/2 (* 1/3 (/ 1 u1))) u1))) u1))) (+ (log -1) (* -1 (log (/ -1 u1)))))
(-.f32 (-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 3/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4)))))
(*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 1/3 (pow (PI) 4))))))
(*.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 -2/45 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))) (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))))
(*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -1/315 binary32))))))) (*.f32 (PI.f32) (PI.f32))))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #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))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* 1/2 u1)
(*.f32 u1 #s(literal 1/2 binary32))
(* u1 (+ 1/2 (* 1/3 u1)))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(* 1/4 (pow u1 3))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/4 binary32))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* 1/4 (pow u1 3))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/4 binary32))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))

eval84.0ms (0.6%)

Compiler

Compiled 27907 to 2643 computations (90.5% saved)

prune253.0ms (1.7%)

Pruning

65 alts after pruning (59 fresh and 6 done)

PrunedKeptTotal
New86932901
Fresh52732
Picked325
Done044
Total87765942
Accuracy
99.9%
Counts
942 → 65
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.3%
(/.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))
88.4%
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))
3.9%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
88.4%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
90.0%
(*.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)))
14.7%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
21.1%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
18.3%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
14.2%
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
14.7%
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
21.1%
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
18.3%
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
14.2%
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
88.4%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
88.6%
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
90.3%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.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))))))))
88.2%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal -1/3 binary32)) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
88.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))) 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
88.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
88.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))))
88.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
88.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
95.5%
(*.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.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)))))))))
93.6%
(*.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))))))) (/.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)))))))
86.9%
(*.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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
93.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
80.4%
(*.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))
83.4%
(*.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) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
89.7%
(*.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)))))))
89.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #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 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
83.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
89.8%
(*.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)))
77.3%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
74.3%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.1%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
88.3%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
46.3%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
97.5%
(*.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)))
97.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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)))
99.0%
(*.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)))
91.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)) #s(literal 1 binary32))))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (/.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)))))))
91.3%
(*.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)))))))))
98.9%
(*.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) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)))))))
90.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))))
99.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
94.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))))))
91.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
99.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
83.9%
(*.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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
54.8%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
73.8%
(*.f32 (sqrt.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)))))))))
78.8%
(*.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)))))))
73.8%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
73.8%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
3.7%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
78.9%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
69.6%
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
3.9%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
3.9%
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
81.6%
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
Compiler

Compiled 3490 to 2370 computations (32.1% saved)

simplify215.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))
cost-diff0
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
cost-diff0
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
cost-diff0
(*.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)))
cost-diff0
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
cost-diff0
(*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
cost-diff0
(pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32))
cost-diff0
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
cost-diff0
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
cost-diff0
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
cost-diff0
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
cost-diff0
(*.f32 u1 u1)
cost-diff32
(-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))
cost-diff64
(+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
cost-diff64
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff32
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
cost-diff32
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
Rules
3570×*-lowering-*.f32
3570×*-lowering-*.f64
2178×+-lowering-+.f64
2178×+-lowering-+.f32
1630×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06234359738780
118434359738726
255134359738715
3176434359738711
4659734359738711
5764534359738711
08002456
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(+ (+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))
(+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2))))))
1/2
(* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))
(cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2))))
(* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))
2
(* (pow (PI) 2/3) (* (pow (PI) 1/3) u2))
(pow (PI) 2/3)
(PI)
2/3
(* (pow (PI) 1/3) u2)
(pow (PI) 1/3)
1/3
u2
(* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))
(neg (sin (* (PI) u2)))
(sin (* (PI) u2))
(* (PI) u2)
(* (* u1 u1) (+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI))))))
(* u1 u1)
u1
(+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI)))))
1/2
(* (* u2 u2) (- 0 (* (PI) (PI))))
(* u2 u2)
u2
(- 0 (* (PI) (PI)))
0
(* (PI) (PI))
(PI)
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
1
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
1/2
(* u1 (+ 1/3 (* u1 1/4)))
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4)
(* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
1
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
1/2
(* u1 (+ 1/3 (* u1 1/4)))
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))
(* u2 (* u2 (* -2 (* (PI) (PI)))))
u2
(* u2 (* -2 (* (PI) (PI))))
(* -2 (* (PI) (PI)))
-2
(* (PI) (PI))
(PI)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 1/3))))
1
(* u1 (+ 1/2 (* u1 1/3)))
(+ 1/2 (* u1 1/3))
1/2
(* u1 1/3)
1/3
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(+ (+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))
(+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
(+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))))))
1/2
#s(literal 1/2 binary32)
(* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))
(*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))
(cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2))))
(cos.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))))
(* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))
2
#s(literal 2 binary32)
(* (pow (PI) 2/3) (* (pow (PI) 1/3) u2))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(pow (PI) 2/3)
(pow.f32 (PI.f32) #s(literal 2/3 binary32))
(PI)
(PI.f32)
2/3
#s(literal 2/3 binary32)
(* (pow (PI) 1/3) u2)
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)
(pow (PI) 1/3)
(pow.f32 (PI.f32) #s(literal 1/3 binary32))
1/3
#s(literal 1/3 binary32)
u2
(* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))
(neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(neg (sin (* (PI) u2)))
(neg.f32 (sin.f32 (*.f32 (PI.f32) u2)))
(sin (* (PI) u2))
(sin.f32 (*.f32 (PI.f32) u2))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(* (* u1 u1) (+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI))))))
(*.f32 u1 (*.f32 u1 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(* u1 u1)
(*.f32 u1 u1)
u1
(+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI)))))
(-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
1/2
#s(literal 1/2 binary32)
(* (* u2 u2) (- 0 (* (PI) (PI))))
(-.f32 #s(literal 0 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
(* u2 u2)
(*.f32 u2 u2)
u2
(- 0 (* (PI) (PI)))
(neg.f32 (*.f32 (PI.f32) (PI.f32)))
0
#s(literal 0 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
1
#s(literal 1 binary32)
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
1/2
#s(literal 1/2 binary32)
(* u1 (+ 1/3 (* u1 1/4)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(+ 1/3 (* u1 1/4))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
1/3
#s(literal 1/3 binary32)
(* u1 1/4)
(*.f32 u1 #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(*.f32 (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4)
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32))
(* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
1
#s(literal 1 binary32)
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
1/2
#s(literal 1/2 binary32)
(* u1 (+ 1/3 (* u1 1/4)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(+ 1/3 (* u1 1/4))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
1/3
#s(literal 1/3 binary32)
(* u1 1/4)
(*.f32 u1 #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(* u2 (* u2 (* -2 (* (PI) (PI)))))
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
u2
(* u2 (* -2 (* (PI) (PI))))
(*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) u2) #s(literal -2 binary32)))
(* -2 (* (PI) (PI)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))
-2
#s(literal -2 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))))
(sqrt.f32 (*.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)))))
(*.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))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))
1
#s(literal 1 binary32)
(* u1 (+ 1/2 (* u1 1/3)))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))
(+ 1/2 (* u1 1/3))
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))
1/2
#s(literal 1/2 binary32)
(* u1 1/3)
(*.f32 u1 #s(literal 1/3 binary32))
1/3
#s(literal 1/3 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

localize362.0ms (2.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))
accuracy99.0%
(*.f32 u1 #s(literal 1/3 binary32))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.9%
(PI.f32)
accuracy98.9%
(PI.f32)
accuracy98.9%
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
accuracy98.7%
(*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy99.2%
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
accuracy99.2%
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
accuracy99.1%
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
accuracy99.0%
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
accuracy99.7%
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
accuracy98.9%
(PI.f32)
accuracy98.5%
(*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy98.9%
(PI.f32)
accuracy98.4%
(*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))
accuracy98.3%
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
accuracy96.9%
(pow.f32 (PI.f32) #s(literal 2/3 binary32))
Results
214.0ms253×0valid
9.0ms5exit
Compiler

Compiled 620 to 63 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-mult: 60.0ms (42.7% of total)
ival-pow: 21.0ms (14.9% of total)
ival-add: 13.0ms (9.2% of total)
...c/correct-round.rkt:119:19: 8.0ms (5.7% of total)
compiled-spec: 8.0ms (5.7% of total)
ival-cos: 6.0ms (4.3% of total)
ival-sqrt: 6.0ms (4.3% of total)
ival-log: 6.0ms (4.3% of total)
ival-neg: 4.0ms (2.8% of total)
ival-sin: 3.0ms (2.1% of total)
backward-pass: 2.0ms (1.4% of total)
ival-sub: 1.0ms (0.7% of total)
const: 1.0ms (0.7% of total)
ival-pi: 1.0ms (0.7% of total)

series117.0ms (0.8%)

Counts
31 → 372
Calls
Call 1
Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))))>
#<alt (+ (+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (* (* u1 u1) (+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI))))))>
#<alt (+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI)))))>
#<alt (- 0 (* (PI) (PI)))>
#<alt (* u1 u1)>
#<alt (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))>
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#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))>
#<alt (* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))>
#<alt (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4)>
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#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2)))>
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#<alt (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))>
#<alt (PI)>
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#<alt (* (* u2 u2) (- 0 (* (PI) (PI))))>
#<alt (+ 1/3 (* u1 1/4))>
#<alt (* u1 (+ 1/3 (* u1 1/4)))>
#<alt (* u2 (* -2 (* (PI) (PI))))>
#<alt (* (* 2 (PI)) u2)>
#<alt (* u1 1/3)>
#<alt (* u1 (+ 1/2 (* u1 1/3)))>
Outputs
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#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
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#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt 1>
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#<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) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6)))))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
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#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
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#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
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#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
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#<alt u1>
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#<alt (* (pow u1 2) (+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2)))))>
#<alt (* 1/2 (pow u1 2))>
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#<alt 1/2>
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#<alt (pow u1 2)>
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#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
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#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
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#<alt u1>
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#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* 1/4 (pow u1 4))>
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#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/4 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/2 u1)>
#<alt (* u1 (+ 1/2 (* 1/3 u1)))>
#<alt (* u1 (+ 1/2 (* 1/3 u1)))>
#<alt (* u1 (+ 1/2 (* 1/3 u1)))>
#<alt (* 1/3 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))>
#<alt (* 1/3 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))>
Calls

93 calls:

TimeVariablePointExpression
43.0ms
u2
@inf
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2)))
34.0ms
u1
@0
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
13.0ms
u2
@0
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
4.0ms
u2
@0
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@0
(* (* u1 u1) (+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI))))))

rewrite369.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
3454×*-lowering-*.f32
3454×*-lowering-*.f64
2076×pow-lowering-pow.f64
2076×pow-lowering-pow.f32
2062×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062305
1363235
23094225
08268225
Stop Event
iter limit
node limit
Counts
31 → 667
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))))
(+ (+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(* (* u1 u1) (+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI))))))
(+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI)))))
(- 0 (* (PI) (PI)))
(* u1 u1)
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4)
(* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))
(+ 1 (* u1 (+ 1/2 (* u1 1/3))))
(pow (PI) 2/3)
(* (pow (PI) 2/3) (* (pow (PI) 1/3) u2))
(* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))
(PI)
(* (PI) (PI))
(* (* u2 u2) (- 0 (* (PI) (PI))))
(+ 1/3 (* u1 1/4))
(* u1 (+ 1/3 (* u1 1/4)))
(* u2 (* -2 (* (PI) (PI))))
(* (* 2 (PI)) u2)
(* u1 1/3)
(* u1 (+ 1/2 (* u1 1/3)))
Outputs
(+.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (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 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (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 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #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 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(fma.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(fma.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #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 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (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))))))))
(fma.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (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 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #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)))))))
(fma.f32 #s(literal 1/2 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(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))))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (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))))))))
(fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #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)))))))
(fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #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)))))))
(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)))))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #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)))))))
(fma.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (PI.f32) u2))) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(fma.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2)))) (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(-.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.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))))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(-.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 3 binary32)) (pow.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (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))))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (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))))))) #s(literal 2 binary32)) (*.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (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 (pow.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 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 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (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))))))) #s(literal 2 binary32))) (-.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (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 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 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 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.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 (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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
(/.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32))) #s(literal 1 binary32))
(/.f32 (*.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))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.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 (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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
(/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) #s(literal 1 binary32))
(*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #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))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
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(+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))) (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)))) #s(literal -1 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
(fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32))
(-.f32 (/.f32 #s(literal 1/9 binary32) (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1))) (/.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)) (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))) (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)))))
(/.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32))) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))))
(/.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32))) (+.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)) (-.f32 #s(literal 1/9 binary32) (*.f32 #s(literal 1/12 binary32) u1))))
(/.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32))) (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1)))
(/.f32 (neg.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32)))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)))) (neg.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1))))
(/.f32 (-.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)) #s(literal 1/9 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))
(*.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))))))
(*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1))))
(+.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(+.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (*.f32 u1 #s(literal 1/3 binary32)))
(fma.f32 u1 #s(literal 1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(fma.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)) (*.f32 u1 #s(literal 1/3 binary32)))
(fma.f32 #s(literal 1/3 binary32) u1 (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(fma.f32 (*.f32 u1 u1) #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1/3 binary32)))
(fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) (*.f32 u1 #s(literal 1/3 binary32)))
(fma.f32 (*.f32 u1 #s(literal 1/4 binary32)) u1 (*.f32 u1 #s(literal 1/3 binary32)))
(/.f32 (+.f32 (*.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32)) (*.f32 (*.f32 u1 u1) u1))) (+.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/9 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/9 binary32)) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) (-.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
(/.f32 (*.f32 u1 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32)))) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))))
(/.f32 (*.f32 u1 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)))) (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1)))
(/.f32 (*.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32))) u1) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32))) u1) (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) u1)
(*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u2 #s(literal -2 binary32)))
(*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) u2)
(*.f32 (*.f32 u2 #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (PI.f32) u2))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))
(*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32))
(*.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 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2) #s(literal 2 binary32)))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2) (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) u2) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 u1 #s(literal 1/3 binary32))
(*.f32 #s(literal 1/3 binary32) u1)
(+.f32 (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))))
(+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 #s(literal 1/2 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32)))))
(+.f32 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32)))))
(fma.f32 u1 #s(literal 1/2 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))))
(fma.f32 u1 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) u1 (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))))
(fma.f32 #s(literal 1/3 binary32) (*.f32 u1 u1) (*.f32 u1 #s(literal 1/2 binary32)))
(fma.f32 (*.f32 u1 u1) #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/2 binary32)))
(fma.f32 (*.f32 u1 #s(literal 1/3 binary32)) u1 (*.f32 u1 #s(literal 1/2 binary32)))
(fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))) #s(literal 1 binary32)))
(/.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 u1 u1) u1)) (*.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 u1) u1)))) (+.f32 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 #s(literal 1/2 binary32))) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32)))) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32)))))))
(/.f32 (-.f32 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))))) (-.f32 (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32)))))
(/.f32 (*.f32 u1 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 u1) u1)))) (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (-.f32 (*.f32 u1 #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))
(/.f32 (*.f32 u1 (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/9 binary32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 u1) u1))) u1) (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (-.f32 (*.f32 u1 #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/9 binary32))) u1) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))
(*.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))
(*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))) u1)
(*.f32 (*.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 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) u1)

simplify450.0ms (3%)

Algorithm
egg-herbie
Rules
9012×*-lowering-*.f32
9012×*-lowering-*.f64
4276×+-lowering-+.f64
4276×+-lowering-+.f32
1890×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07196724
125765389
095565389
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))
(* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* -1/2 (* (/ (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/2 (* (/ (* (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(* (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) (+ (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6))))) (sqrt (log (- 1 u1)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
1
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(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3))))))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3))))) (pow u1 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))))
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 2)))))
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 2))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 4)))))))
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 4))))))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/32 (sqrt (/ 1 u1))) (* 1/6 (sqrt (/ 1 u1))))))))
(* (sqrt (pow u1 3)) (sqrt 1/3))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3)))))
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))))
(* (sqrt (pow u1 3)) (* (pow (sqrt -1) 2) (sqrt 1/3)))
(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (sqrt 1/3)))))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (sqrt 1/3))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (* (sqrt u1) (/ (pow (sqrt -1) 2) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (pow (sqrt -1) 2) (sqrt 1/3))))) (pow u1 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (sqrt 1/3))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* 1/3 (pow u1 3))
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* 1/3 (pow u1 3))
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))
1
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 1/3 u1))))
(+ 1 (* u1 (+ 1/2 (* 1/3 u1))))
(* 1/3 (pow u1 2))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* 1/3 (pow u1 2))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4)))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 1/3 (pow (PI) 4))))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))) (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
1/3
(+ 1/3 (* 1/4 u1))
(+ 1/3 (* 1/4 u1))
(+ 1/3 (* 1/4 u1))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/3 u1)
(* u1 (+ 1/3 (* 1/4 u1)))
(* u1 (+ 1/3 (* 1/4 u1)))
(* u1 (+ 1/3 (* 1/4 u1)))
(* 1/4 (pow u1 2))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/4 (pow u1 2))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/2 u1)
(* u1 (+ 1/2 (* 1/3 u1)))
(* u1 (+ 1/2 (* 1/3 u1)))
(* u1 (+ 1/2 (* 1/3 u1)))
(* 1/3 (pow u1 2))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(* 1/3 (pow u1 2))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
Outputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (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))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))
(+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))
(+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32))))))))
(* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) u1)))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
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1
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(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 1/3 (pow (PI) 4))))))
(*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32)))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))) (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))))
(*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (*.f32 #s(literal -1/315 binary32) (*.f32 u2 u2))))))) (*.f32 (PI.f32) (PI.f32))))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* u1 (+ 1/3 (* 1/4 u1)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* u1 (+ 1/3 (* 1/4 u1)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* u1 (+ 1/3 (* 1/4 u1)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* 1/4 (pow u1 2))
(*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* 1/4 (pow u1 2))
(*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/2 u1)
(*.f32 u1 #s(literal 1/2 binary32))
(* u1 (+ 1/2 (* 1/3 u1)))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))
(* u1 (+ 1/2 (* 1/3 u1)))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))
(* u1 (+ 1/2 (* 1/3 u1)))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))
(* 1/3 (pow u1 2))
(*.f32 (*.f32 u1 u1) #s(literal 1/3 binary32))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1) u1)
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1) u1)
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1) u1)
(* 1/3 (pow u1 2))
(*.f32 (*.f32 u1 u1) #s(literal 1/3 binary32))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1) u1)
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1) u1)
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1) u1)

eval263.0ms (1.8%)

Compiler

Compiled 63343 to 6108 computations (90.4% saved)

prune400.0ms (2.7%)

Pruning

79 alts after pruning (72 fresh and 7 done)

PrunedKeptTotal
New1678341712
Fresh163854
Picked415
Done066
Total1698791777
Accuracy
99.9%
Counts
1777 → 79
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.3%
(/.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))
88.4%
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
92.4%
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))))
3.9%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
88.5%
(*.f32 (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
88.4%
(*.f32 (pow.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
22.1%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.7%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
83.3%
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
73.8%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
18.3%
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
18.3%
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
4.9%
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
21.1%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
93.5%
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)))
21.1%
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
18.3%
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
21.1%
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
21.0%
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
14.2%
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
88.6%
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
93.9%
(*.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.2%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal -1/3 binary32)) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
93.6%
(*.f32 (sqrt.f32 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))))
88.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
88.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
95.5%
(*.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.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)))))))))
93.6%
(*.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))))))) (/.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)))))))
93.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
86.9%
(*.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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
93.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
83.4%
(*.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) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
89.7%
(*.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)))))))
89.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #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 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
83.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
89.8%
(*.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)))
74.3%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.1%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
88.3%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
93.6%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
46.3%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
97.5%
(*.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)))
99.0%
(*.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)))
91.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)) #s(literal 1 binary32))))
91.3%
(*.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)))))))))
90.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))))
99.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
99.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
94.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))))))
91.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
99.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
83.9%
(*.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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
54.8%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
73.8%
(*.f32 (sqrt.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)))))))))
78.8%
(*.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)))))))
73.8%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
73.8%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
3.7%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
78.9%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
3.9%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
3.9%
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
14.7%
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
81.5%
(sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 (*.f32 u1 u1) u1))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
81.6%
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
81.7%
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1))
81.3%
(sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))))
81.6%
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) u1) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
81.6%
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
80.4%
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
69.7%
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))))
77.3%
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
81.3%
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
19.0%
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))))
69.6%
(sqrt.f32 u1)
Compiler

Compiled 5081 to 1991 computations (60.8% saved)

regimes381.0ms (2.5%)

Counts
117 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
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(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) u1)) (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 (*.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 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 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 #s(literal 1/3 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 (sqrt.f32 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal -1/3 binary32)) u1)))) (+.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 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)) #s(literal 1 binary32))))
(pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(*.f32 (+.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)))
(*.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) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 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)))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))))))
(*.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)))
(*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (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)))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.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)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #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 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
(*.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)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.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))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (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 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
(*.f32 (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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
(+.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (/.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)))))))
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:

50.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
39.0ms
(-.f32 #s(literal 1 binary32) u1)
38.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
36.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
35.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
99.3%1cosTheta_i
99.3%1u1
99.3%1u2
99.3%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)))
99.3%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
99.3%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
99.3%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
99.3%1(-.f32 #s(literal 1 binary32) u1)
99.3%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
99.3%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes281.0ms (1.9%)

Counts
84 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
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(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) u1)) (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 (*.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 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 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 #s(literal 1/3 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 (sqrt.f32 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal -1/3 binary32)) u1)))) (+.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 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)) #s(literal 1 binary32))))
(pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

40.0ms
u1
36.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
34.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
32.0ms
u2
30.0ms
cosTheta_i
Results
AccuracySegmentsBranch
95.5%1cosTheta_i
95.5%1u1
95.5%1u2
95.5%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
95.5%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
95.5%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
95.5%1(-.f32 #s(literal 1 binary32) u1)
95.5%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
95.5%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes245.0ms (1.6%)

Counts
76 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 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 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.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 (*.f32 u1 (+.f32 #s(literal 1 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))
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 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) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #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 (*.f32 u1 (+.f32 #s(literal 1 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) 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 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))) 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 (*.f32 u1 u1) u1))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 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 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.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 -3/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) u1)) (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 (*.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)))))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

42.0ms
cosTheta_i
38.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
28.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
22.0ms
u2
22.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
93.9%1cosTheta_i
98.0%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.8%2u1
97.8%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.8%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.0%2u2
97.8%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.8%2(-.f32 #s(literal 1 binary32) u1)
98.0%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes208.0ms (1.4%)

Counts
72 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 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 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.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 (*.f32 u1 (+.f32 #s(literal 1 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))
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 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) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #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 (*.f32 u1 (+.f32 #s(literal 1 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) 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 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))) 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 (*.f32 u1 u1) u1))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 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 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.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 -3/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

8 calls:

37.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
25.0ms
u2
24.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
23.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
20.0ms
u1
Results
AccuracySegmentsBranch
96.5%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
96.5%2(-.f32 #s(literal 1 binary32) u1)
96.5%2u1
96.5%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
96.5%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
97.4%2u2
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 55 to 47 computations (14.5% saved)

regimes180.0ms (1.2%)

Counts
68 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 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 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.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 (*.f32 u1 (+.f32 #s(literal 1 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))
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 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) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #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 (*.f32 u1 (+.f32 #s(literal 1 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) 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 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))) 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 (*.f32 u1 u1) u1))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 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 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.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 -3/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

20.0ms
u2
19.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
19.0ms
cosTheta_i
19.0ms
u1
18.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
95.0%2u1
95.0%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
95.0%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
95.0%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
95.0%2(-.f32 #s(literal 1 binary32) u1)
89.8%1cosTheta_i
95.9%2u2
95.9%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
95.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes196.0ms (1.3%)

Counts
67 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 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 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.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 (*.f32 u1 (+.f32 #s(literal 1 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))
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 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) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #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 (*.f32 u1 (+.f32 #s(literal 1 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) 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 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))) 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 (*.f32 u1 u1) u1))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 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 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.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 -3/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Calls

8 calls:

50.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
24.0ms
(-.f32 #s(literal 1 binary32) u1)
19.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
19.0ms
u1
18.0ms
u2
Results
AccuracySegmentsBranch
88.6%1u1
88.6%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
88.6%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
88.6%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
88.6%1(-.f32 #s(literal 1 binary32) u1)
93.0%2u2
93.0%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
93.0%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes45.0ms (0.3%)

Counts
63 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 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 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.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 (*.f32 u1 (+.f32 #s(literal 1 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))
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 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) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #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 (*.f32 u1 (+.f32 #s(literal 1 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) 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 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))) 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 (*.f32 u1 u1) u1))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 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))
Outputs
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Calls

2 calls:

20.0ms
u2
18.0ms
cosTheta_i
Results
AccuracySegmentsBranch
88.6%1cosTheta_i
88.6%1u2
Compiler

Compiled 8 to 6 computations (25% saved)

regimes45.0ms (0.3%)

Counts
43 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 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 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.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 (*.f32 u1 (+.f32 #s(literal 1 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))
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 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) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #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 (*.f32 u1 (+.f32 #s(literal 1 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
Calls

3 calls:

14.0ms
u1
13.0ms
cosTheta_i
13.0ms
u2
Results
AccuracySegmentsBranch
88.4%1u1
88.4%1u2
88.4%1cosTheta_i
Compiler

Compiled 12 to 9 computations (25% saved)

regimes42.0ms (0.3%)

Counts
41 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 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 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.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 (*.f32 u1 (+.f32 #s(literal 1 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))
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 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) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #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 (*.f32 u1 (+.f32 #s(literal 1 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Calls

3 calls:

12.0ms
cosTheta_i
12.0ms
u1
11.0ms
u2
Results
AccuracySegmentsBranch
88.4%1u2
88.4%1u1
88.4%1cosTheta_i
Compiler

Compiled 12 to 9 computations (25% saved)

regimes44.0ms (0.3%)

Counts
39 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 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 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.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 (*.f32 u1 (+.f32 #s(literal 1 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))
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 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) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #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)))))))))
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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Calls

3 calls:

16.0ms
u1
12.0ms
u2
11.0ms
cosTheta_i
Results
AccuracySegmentsBranch
86.9%1u2
86.9%1cosTheta_i
86.9%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes37.0ms (0.2%)

Counts
35 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 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 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.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 (*.f32 u1 (+.f32 #s(literal 1 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))
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 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) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
Outputs
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Calls

3 calls:

11.0ms
u1
10.0ms
cosTheta_i
10.0ms
u2
Results
AccuracySegmentsBranch
83.5%1cosTheta_i
87.1%2u1
87.5%2u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes33.0ms (0.2%)

Counts
32 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 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 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.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 (*.f32 u1 (+.f32 #s(literal 1 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))
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))))
Outputs
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Calls

3 calls:

10.0ms
cosTheta_i
10.0ms
u2
9.0ms
u1
Results
AccuracySegmentsBranch
81.7%1cosTheta_i
81.7%1u1
85.4%2u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.1%)

Counts
28 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 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 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1))
Outputs
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
Calls

1 calls:

9.0ms
u2
Results
AccuracySegmentsBranch
85.4%2u2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Counts
27 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 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 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
Outputs
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 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 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
Calls

1 calls:

10.0ms
u2
Results
AccuracySegmentsBranch
85.3%2u2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes28.0ms (0.2%)

Counts
26 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 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 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))))
Outputs
(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 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
Calls

3 calls:

9.0ms
u1
8.0ms
cosTheta_i
7.0ms
u2
Results
AccuracySegmentsBranch
80.4%1cosTheta_i
83.5%2u1
84.1%2u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts
23 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 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 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Outputs
(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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Calls

1 calls:

7.0ms
u2
Results
AccuracySegmentsBranch
84.1%2u2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.1%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 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 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))
Outputs
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
Calls

2 calls:

9.0ms
u1
7.0ms
u2
Results
AccuracySegmentsBranch
80.4%1u1
80.4%1u2
Compiler

Compiled 8 to 6 computations (25% saved)

regimes42.0ms (0.3%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
Outputs
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
Calls

3 calls:

27.0ms
cosTheta_i
6.0ms
u1
6.0ms
u2
Results
AccuracySegmentsBranch
77.3%1cosTheta_i
77.3%1u2
77.3%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes31.0ms (0.2%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
Outputs
(sqrt.f32 u1)
Calls

3 calls:

17.0ms
u2
6.0ms
cosTheta_i
6.0ms
u1
Results
AccuracySegmentsBranch
69.6%1u2
69.6%1cosTheta_i
69.6%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1))))
Outputs
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
Calls

3 calls:

6.0ms
cosTheta_i
5.0ms
u1
5.0ms
u2
Results
AccuracySegmentsBranch
21.1%1u1
21.1%1cosTheta_i
21.1%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Outputs
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Calls

3 calls:

9.0ms
u2
4.0ms
cosTheta_i
4.0ms
u1
Results
AccuracySegmentsBranch
21.1%1cosTheta_i
21.1%1u1
21.1%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))))
Outputs
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
Calls

3 calls:

4.0ms
u2
3.0ms
cosTheta_i
3.0ms
u1
Results
AccuracySegmentsBranch
21.0%1cosTheta_i
21.0%1u1
21.0%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1)
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))
Outputs
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
Calls

3 calls:

2.0ms
u2
2.0ms
cosTheta_i
2.0ms
u1
Results
AccuracySegmentsBranch
18.3%1u1
18.3%1cosTheta_i
18.3%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

3.0ms
cosTheta_i
1.0ms
u1
1.0ms
u2
Results
AccuracySegmentsBranch
14.2%1u2
14.2%1u1
14.2%1cosTheta_i
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.04749646410346031
0.05171313136816025
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.04749646410346031
0.05171313136816025
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0019732897635549307
0.0024261130020022392
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9971303939819336
0.9971473813056946
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.00014446719433180988
0.00017008878057822585
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.00038612785283476114
0.0004664055595640093
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.00038612785283476114
0.0004664055595640093
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.00038612785283476114
0.0004664055595640093
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.00038612785283476114
0.0004664055595640093
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.00038612785283476114
0.0004664055595640093
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify23.0ms (0.2%)

Algorithm
egg-herbie
Rules
108×*-commutative_binary32
50×+-commutative_binary32
16×sub-neg_binary32
14×neg-sub0_binary32
14×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117629
1196629
2210629
3223629
4232629
5237629
6240629
7241629
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))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 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 13421773/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/4294967296 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #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 16729233/16777216 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(if (<=.f32 u2 #s(literal 5153961/34359738368 binary32)) (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 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 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 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 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(sqrt.f32 u1)
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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))))))))) (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))))))))) (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 13421773/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.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 13421773/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 13421773/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/4294967296 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #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 8589935/4294967296 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16729233/16777216 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 16729233/16777216 binary32)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (+.f32 u1 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (+.f32 u1 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 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 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 u2 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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(if (<=.f32 u2 #s(literal 5153961/34359738368 binary32)) (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 u2 #s(literal 5153961/34359738368 binary32)) (sqrt.f32 (+.f32 u1 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (+.f32 u1 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (+.f32 u1 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 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 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 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 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 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 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 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 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 u2 #s(literal 13743895/34359738368 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 u1)))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(sqrt.f32 u1)
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1)
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))

soundness2.7s (18.1%)

Rules
9012×*-lowering-*.f32
9012×*-lowering-*.f64
7162×*-lowering-*.f32
7162×*-lowering-*.f64
6826×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062305
1363235
23094225
08268225
06597046
122715647
082675647
01313
12512
23812
34812
46212
57912
610112
711512
812712
912812
012812
03063514
19822874
234812640
080342640
07196724
125765389
095565389
056239
1307185
22544178
08269178
08087337
128815716
084365716
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
Compiler

Compiled 3003 to 1986 computations (33.9% saved)

preprocess130.0ms (0.9%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 1956 to 828 computations (57.7% saved)

end0.0ms (0%)

Profiling

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