Curve intersection, scale width based on ribbon orientation

Time bar (total: 14.0s)

analyze742.0ms (5.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.8%99.2%0%0%0%0
0%0%0.8%99.2%0%0%0%1
0%0%0.8%99.2%0%0%0%2
0%0%0.8%99.2%0%0%0%3
0%0%0.8%99.2%0%0%0%4
0%0%0.8%99.2%0%0%0%5
16.7%0.1%0.5%99.4%0%0%0%6
25%0.1%0.4%99.4%0%0%0%7
25%0.1%0.4%99.4%0%0%0%8
25%0.1%0.4%99.4%0%0%0%9
45%0.2%0.3%99.5%0%0%0%10
52.5%0.3%0.2%99.5%0%0%0%11
52.5%0.3%0.2%99.5%0%0%0%12
Compiler

Compiled 62 to 38 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 394.0ms
ival-mult: 135.0ms (34.2% of total)
ival-sin: 77.0ms (19.5% of total)
...c/correct-round.rkt:121:19: 76.0ms (19.3% of total)
ival-<=: 43.0ms (10.9% of total)
ival-div: 20.0ms (5.1% of total)
ival-sub: 13.0ms (3.3% of total)
ival-and: 11.0ms (2.8% of total)
ival-add: 8.0ms (2% of total)
ival-pi: 7.0ms (1.8% of total)
const: 3.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

sample4.5s (32.2%)

Results
2.3s8256×0valid
1.3s2027×0precondition
Precisions
Click to see histograms. Total time spent on operations: 2.9s
ival-sin: 682.0ms (23.7% of total)
ival-<=: 668.0ms (23.2% of total)
ival-mult: 540.0ms (18.8% of total)
...c/correct-round.rkt:121:19: 373.0ms (13% of total)
ival-div: 165.0ms (5.7% of total)
ival-add: 148.0ms (5.1% of total)
ival-sub: 132.0ms (4.6% of total)
ival-and: 76.0ms (2.6% of total)
ival-pi: 62.0ms (2.2% of total)
const: 26.0ms (0.9% of total)
backward-pass: 3.0ms (0.1% of total)
Bogosity

preprocess139.0ms (1%)

Algorithm
egg-herbie
Rules
1510×fmm-def
1088×fma-define
1012×times-frac
912×unsub-neg
628×distribute-lft-neg-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01151608
13041396
28281320
324131170
445851170
577991170
Stop Event
node limit
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u)) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n1_i)))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n1_i)))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u)) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n1_i))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) normAngle) u)) (/.f32 #s(literal 1 binary32) (sin.f32 u))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 #s(literal 1 binary32) (sin.f32 u))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n0_i))) normAngle) (*.f32 (*.f32 (sin.f32 (*.f32 u n0_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n0_i))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n1_i))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u n1_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n1_i))) normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) n0_i) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) u) (*.f32 (*.f32 (sin.f32 (*.f32 n0_i normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) n1_i) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 n1_i normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) u))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i))
Outputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u)) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (neg.f32 u))))) n0_i (*.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u)))) (*.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 n1_i))))
(/.f32 (-.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n1_i)))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (neg.f32 n1_i))))
(-.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle)))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n1_i)))
(neg.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)))) n0_i (*.f32 n1_i (/.f32 (*.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) #s(literal 1 binary32)) (neg.f32 (sin.f32 normAngle))))))
(neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 normAngle))) (neg.f32 (sin.f32 normAngle))) (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))
(neg.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))
(/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32))))) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u)) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)))
(neg.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (neg.f32 u))))) n0_i (*.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))))
(-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))))))
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)))) (sin.f32 normAngle))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (neg.f32 n1_i))))
(-.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle)))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n1_i))))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) normAngle) u)) (/.f32 #s(literal 1 binary32) (sin.f32 u))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 #s(literal 1 binary32) (sin.f32 u))) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 u (-.f32 #s(literal 1 binary32) normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 u))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 u)) n1_i)))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 u (-.f32 #s(literal 1 binary32) normAngle))) (sin.f32 u)) (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 u)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 u)) (+.f32 (*.f32 n0_i (sin.f32 (*.f32 u (-.f32 #s(literal 1 binary32) normAngle)))) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 u (-.f32 #s(literal 1 binary32) normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 u))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n0_i))) normAngle) (*.f32 (*.f32 (sin.f32 (*.f32 u n0_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n0_i))) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n0_i))) normAngle (*.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 n0_i)) (sin.f32 (*.f32 u n0_i)))))
(fma.f32 normAngle (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (sin.f32 n0_i)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u n0_i)) (sin.f32 n0_i))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 n0_i)) (+.f32 (*.f32 normAngle (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) (*.f32 n1_i (sin.f32 (*.f32 u n0_i)))))
(/.f32 (fma.f32 normAngle (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (*.f32 n1_i (sin.f32 (*.f32 u n0_i)))) (sin.f32 n0_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n1_i))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u n1_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n1_i))) normAngle))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n1_i))) n0_i (*.f32 normAngle (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 n1_i)) (sin.f32 (*.f32 u n1_i)))))
(fma.f32 normAngle (/.f32 (sin.f32 (*.f32 u n1_i)) (sin.f32 n1_i)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (sin.f32 n1_i))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 n1_i)) (+.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n1_i))) (*.f32 normAngle (sin.f32 (*.f32 u n1_i)))))
(/.f32 (fma.f32 normAngle (sin.f32 (*.f32 u n1_i)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n1_i)))) (sin.f32 n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) n0_i) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) u) (*.f32 (*.f32 (sin.f32 (*.f32 n0_i normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) n0_i)))) u (*.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle n0_i)))))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) n0_i))) (/.f32 u (sin.f32 normAngle)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 u (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) n0_i)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle n0_i)))))
(/.f32 (fma.f32 u (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) n0_i))) (*.f32 n1_i (sin.f32 (*.f32 normAngle n0_i)))) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) n1_i) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 n1_i normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) u))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) n1_i)))) n0_i (*.f32 u (/.f32 (*.f32 (sin.f32 (*.f32 normAngle n1_i)) #s(literal 1 binary32)) (sin.f32 normAngle))))
(fma.f32 u (/.f32 (sin.f32 (*.f32 normAngle n1_i)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) n1_i))) (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) n1_i)))) (*.f32 u (sin.f32 (*.f32 normAngle n1_i)))))
(/.f32 (fma.f32 u (sin.f32 (*.f32 normAngle n1_i)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) n1_i))))) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i (*.f32 n0_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 u normAngle)))))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
Symmetry

(abs normAngle)

explain160.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
260-19(4.248531121114405e-37 7.218174857825943e-8 -3.002225123638015e-22 -7.444693367636873e-21)(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
00-0-(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
00-0-(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
00-0-(sin.f32 (*.f32 u normAngle))
00-0-(sin.f32 normAngle)
00-0-u
00-0-#s(literal 1 binary32)
00-0-(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
00-0-(-.f32 #s(literal 1 binary32) u)
00-0-normAngle
00-0-n0_i
00-0-(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
00-0-(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
00-0-n1_i
00-0-(*.f32 u normAngle)
00-0-(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
00-0-(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
Results
90.0ms498×0valid
6.0ms14×1valid
Compiler

Compiled 241 to 53 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 23.0ms (44.4% of total)
ival-sin: 17.0ms (32.8% of total)
ival-div: 4.0ms (7.7% of total)
ival-add: 3.0ms (5.8% of total)
ival-sub: 3.0ms (5.8% of total)
const: 1.0ms (1.9% of total)
backward-pass: 1.0ms (1.9% of total)

eval1.0ms (0%)

Compiler

Compiled 85 to 26 computations (69.4% saved)

prune15.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
78.0%
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)))
96.8%
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
69.2%
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
96.9%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
69.0%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
Compiler

Compiled 252 to 156 computations (38.1% saved)

simplify168.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff64
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
cost-diff64
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
cost-diff64
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff3392
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
cost-diff0
(sin.f32 normAngle)
cost-diff0
(*.f32 u normAngle)
cost-diff0
(sin.f32 (*.f32 u normAngle))
cost-diff3264
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
cost-diff0
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
cost-diff0
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
cost-diff0
(sin.f32 normAngle)
cost-diff0
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
cost-diff64
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
cost-diff64
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff64
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
cost-diff256
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Rules
2192×fma-define
664×fmm-def
492×times-frac
296×distribute-lft-in
246×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0391667
1821488
21481488
32141488
42651488
53081488
63771488
74801488
87351488
98501488
1010391488
1116301488
1227721488
1337641488
1438071488
1538121488
1638121488
Stop Event
saturated
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
normAngle
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
u
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(sin.f32 normAngle)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
n1_i
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
n0_i
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
n1_i
Outputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
normAngle
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
u
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(sin.f32 normAngle)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
n1_i
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
n0_i
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
(/.f32 n1_i (sin.f32 normAngle))
n1_i

localize185.0ms (1.3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy99.1%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
accuracy98.9%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy94.3%
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
accuracy99.7%
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy93.8%
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
accuracy58.6%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))
accuracy99.7%
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
accuracy99.7%
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy69.4%
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
accuracy99.7%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
accuracy99.7%
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy69.2%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
accuracy99.7%
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy98.9%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy93.4%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
Results
100.0ms249×0valid
6.0ms1valid
Compiler

Compiled 414 to 31 computations (92.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 25.0ms (54.1% of total)
ival-div: 7.0ms (15.1% of total)
ival-sin: 7.0ms (15.1% of total)
ival-add: 5.0ms (10.8% of total)
ival-sub: 2.0ms (4.3% of total)
backward-pass: 1.0ms (2.2% of total)
const: 0.0ms (0% of total)

series112.0ms (0.8%)

Counts
24 → 752
Calls
Call 1
Inputs
#<alt (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))>
#<alt (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)>
#<alt (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)>
#<alt (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))>
#<alt (sin.f32 normAngle)>
#<alt (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)>
#<alt (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))>
#<alt (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))>
#<alt (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)>
#<alt (-.f32 #s(literal 1 binary32) u)>
#<alt (fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)))>
#<alt (sin.f32 (*.f32 u normAngle))>
#<alt (*.f32 u normAngle)>
#<alt (fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))>
#<alt (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)>
#<alt (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))>
#<alt (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)>
#<alt (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))>
#<alt (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))>
Outputs
#<alt n0_i>
#<alt (+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))>
#<alt (+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))>
#<alt (+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle))) (sin.f32 normAngle))))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))>
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#<alt (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))>
#<alt (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))>
#<alt (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))>
Calls

192 calls:

TimeVariablePointExpression
6.0ms
normAngle
@-inf
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
3.0ms
normAngle
@-inf
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))
3.0ms
normAngle
@0
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
3.0ms
normAngle
@inf
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
2.0ms
u
@inf
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

rewrite556.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
534×associate-*r*
459×log1p-expm1-u
350×associate-*l*
234×expm1-log1p-u
229×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039959
1657894
27603894
Stop Event
node limit
Counts
24 → 866
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
Outputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (neg.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))) (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (neg.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(*.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) #s(literal 1 binary32))
(*.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) #s(literal 2 binary32))) (/.f32 (cbrt.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (sin.f32 normAngle)))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))) (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))
(*.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (/.f32 (sqrt.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (sin.f32 normAngle)))
(*.f32 (sqrt.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (*.f32 (sqrt.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))
(*.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))))))
(*.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (neg.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (sin.f32 normAngle)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) #s(literal 2 binary32))) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) #s(literal 2 binary32)))) (cbrt.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sqrt.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))) (sqrt.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))
(*.f32 (*.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (neg.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))))
(/.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 3 binary32))) (*.f32 (sin.f32 normAngle) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))))
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 2 binary32))) (*.f32 (sin.f32 normAngle) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (neg.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 (*.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 3 binary32)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))))))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 2 binary32)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))
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(*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal -1 binary32))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (neg.f32 n0_i)) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (/.f32 n0_i (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 1 binary32)))
(exp.f32 (+.f32 (neg.f32 (log.f32 (sin.f32 normAngle))) (log.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 2 binary32))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))) (sin.f32 (*.f32 u normAngle))))
(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u normAngle))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(*.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 u normAngle)) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sqrt.f32 (sin.f32 normAngle))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 2 binary32))) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 2 binary32)))) (cbrt.f32 (sin.f32 (*.f32 u normAngle))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sqrt.f32 (sin.f32 (*.f32 u normAngle)))) (sqrt.f32 (sin.f32 (*.f32 u normAngle))))
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))) #s(literal 1 binary32))
(pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) n0_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal 1 binary32)))

simplify1.3s (9.6%)

Algorithm
egg-herbie
Rules
994×distribute-lft-in
966×*-commutative
486×+-commutative
484×cancel-sign-sub-inv
432×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01634117043
14302112125
Stop Event
node limit
Counts
1618 → 883
Calls
Call 1
Inputs
n0_i
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle))) (sin.f32 normAngle))))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
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n0_i
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#s(literal 1 binary32)
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(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))))))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(-.f32 #s(literal 1 binary32) u)
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u)
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u)
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u)
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
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(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
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(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i u)
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 #s(literal 1 binary32) normAngle)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) normAngle)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 7/360 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))) normAngle)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 7/360 binary32) (*.f32 #s(literal 31/15120 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))))) normAngle)
normAngle
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/6 binary32)))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 2 binary32))))) #s(literal 1/6 binary32)))))
(*.f32 n0_i (sin.f32 normAngle))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle))))) (*.f32 n0_i (sin.f32 normAngle)))
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (sin.f32 normAngle))))))))
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (sin.f32 normAngle)))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle))))))))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
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(*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))
(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))))))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
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(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(sin.f32 normAngle)
(+.f32 (sin.f32 normAngle) (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))))
(+.f32 (sin.f32 normAngle) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle (cos.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (sin.f32 normAngle)))))))
(+.f32 (sin.f32 normAngle) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle (cos.f32 normAngle))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (sin.f32 normAngle))) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle)))))))))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))
(sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))
(sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))
(sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) u))
(*.f32 normAngle (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))))) u))
(*.f32 normAngle (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))))) u))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (sin.f32 normAngle))
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (*.f32 n1_i normAngle))))
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (sin.f32 normAngle))))) (*.f32 n1_i normAngle)))))
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (+.f32 (*.f32 n1_i normAngle) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (sin.f32 normAngle)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle))))))))))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))))))))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))))))))))))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (+.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))
(*.f32 n0_i (+.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))
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(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
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(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
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(*.f32 n1_i (+.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n1_i)))
(*.f32 n1_i (+.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n1_i)))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle u))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n1_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle u))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n1_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle u))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n1_i)))))
normAngle
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))
(*.f32 #s(literal -1 binary32) u)
(*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) u)
(*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))))
(*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))))
(*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))))
n0_i
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle))) (sin.f32 normAngle))))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
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n0_i
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n0_i
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n0_i
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n0_i
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(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))) #s(literal 1 binary32))
(pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) n0_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal 1 binary32)))
Outputs
n0_i
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) u) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))))
(+.f32 n0_i (*.f32 u (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) u) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle))) (sin.f32 normAngle))))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)) (fma.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (cos.f32 normAngle) (pow.f32 normAngle #s(literal 3 binary32)))) (sin.f32 normAngle))))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))))
(+.f32 n0_i (*.f32 u (-.f32 (fma.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (cos.f32 normAngle) (pow.f32 normAngle #s(literal 3 binary32)))) (sin.f32 normAngle))))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (+.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i))) (*.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) #s(literal 1/120 binary32)))))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (+.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (neg.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i))) (*.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) #s(literal 1/120 binary32)))))))) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))
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normAngle
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(sin.f32 normAngle)
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(fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
(*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))))))
(*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))))))))))
(*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal 1/120 binary32) (+.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))))))))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))))))))))))))
(*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))))))))))))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
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(fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
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normAngle
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u))
(*.f32 (neg.f32 normAngle) u)
(*.f32 u (neg.f32 normAngle))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
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n0_i
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n0_i
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(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i)))))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i))) (*.f32 (*.f32 u n1_i) #s(literal 1/120 binary32)))))) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i)))))
(fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i))) (*.f32 (*.f32 u n1_i) #s(literal 1/120 binary32)))) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u)))))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i))) (*.f32 (*.f32 u n1_i) #s(literal 1/120 binary32)))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 u n1_i) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i))))))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i))) (*.f32 (*.f32 u n1_i) #s(literal 1/120 binary32)))))) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i)))))
(fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i))) (*.f32 (*.f32 u n1_i) #s(literal 1/120 binary32)))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 u n1_i) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i))))))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i))) (*.f32 (*.f32 u n1_i) #s(literal 1/120 binary32)))) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u)))))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 n1_i normAngle)
(/.f32 (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))) normAngle)
(/.f32 (+.f32 n1_i (*.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (pow.f32 normAngle #s(literal 2 binary32)))) normAngle)
(/.f32 (+.f32 n1_i (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (pow.f32 normAngle #s(literal 2 binary32)))) normAngle)
(/.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 #s(literal -1/6 binary32) n1_i)))) normAngle)
(/.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 #s(literal 1/6 binary32) n1_i)))) normAngle)
(/.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) normAngle)
(/.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 #s(literal -1/6 binary32) n1_i)))) normAngle)
(/.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (neg.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) n1_i (fma.f32 #s(literal 1/720 binary32) n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i #s(literal -7/360 binary32))))))) (*.f32 n1_i #s(literal -7/360 binary32))) (neg.f32 (*.f32 n1_i #s(literal -1/6 binary32)))))) normAngle)
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(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
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(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
u
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n0_i
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(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) #s(literal -1 binary32))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(neg.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))
(pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 1 binary32))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal 3 binary32))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal 2 binary32))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)))
(fabs.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) n0_i))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 3 binary32)))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))
(expm1.f32 (log1p.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal 1 binary32)))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))

eval270.0ms (1.9%)

Compiler

Compiled 61437 to 6497 computations (89.4% saved)

prune580.0ms (4.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New2018182036
Fresh000
Picked505
Done000
Total2023182041
Accuracy
100.0%
Counts
2041 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i))
98.2%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
69.1%
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (*.f32 u normAngle) n1_i)) (sin.f32 normAngle))
67.0%
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
34.0%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
69.1%
(/.f32 (*.f32 n0_i (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) n0_i)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
40.6%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
97.1%
(+.f32 (-.f32 n0_i (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
96.9%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
98.9%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) n1_i))
98.1%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
98.2%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
82.6%
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
93.6%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
67.6%
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1/6 binary32))) normAngle) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
68.8%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
42.8%
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
45.2%
n0_i
Compiler

Compiled 712 to 474 computations (33.4% saved)

simplify105.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
cost-diff192
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
cost-diff3328
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))
cost-diff3328
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))
cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
cost-diff64
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff64
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
cost-diff0
(*.f32 u normAngle)
cost-diff0
(sin.f32 (*.f32 u normAngle))
cost-diff0
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
cost-diff0
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
cost-diff64
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff64
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
Rules
1148×distribute-lft-in
906×distribute-rgt-in
850×neg-mul-1
796×neg-sub0
756×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0461283
1951231
22071231
36081165
420051165
536871165
674061165
Stop Event
node limit
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) n1_i)
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))
(pow.f32 normAngle #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))
#s(literal -1/6 binary32)
(-.f32 (pow.f32 u #s(literal 3 binary32)) u)
(pow.f32 u #s(literal 3 binary32))
#s(literal 3 binary32)
n1_i
n0_i
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
n1_i
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 u n1_i)
n1_i
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))
(*.f32 n0_i normAngle)
(cos.f32 normAngle)
Outputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) n1_i))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) u) n1_i))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) u) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) n1_i)
(*.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) u) n1_i)
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) u)
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))
(pow.f32 normAngle #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))
#s(literal -1/6 binary32)
(-.f32 (pow.f32 u #s(literal 3 binary32)) u)
(pow.f32 u #s(literal 3 binary32))
#s(literal 3 binary32)
n1_i
n0_i
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
n1_i
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i))
(fma.f32 u n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 u n1_i)
n1_i
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) n0_i)
(fma.f32 u (-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) n0_i)
(fma.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) n0_i)
(fma.f32 u (*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))) n0_i)
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))))
(*.f32 (*.f32 u normAngle) (/.f32 (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))
(-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle))))
(*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))
(*.f32 n0_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (cos.f32 normAngle)))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))
(*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))
(*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))
(*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle)))
(*.f32 n0_i normAngle)
(*.f32 normAngle n0_i)
(cos.f32 normAngle)

localize265.0ms (1.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
accuracy99.7%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
accuracy99.6%
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))
accuracy58.8%
(/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))
accuracy99.8%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
accuracy99.7%
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy98.9%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy100.0%
(sin.f32 normAngle)
accuracy100.0%
(sin.f32 (*.f32 u normAngle))
accuracy99.9%
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
accuracy93.8%
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy99.5%
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))
accuracy99.0%
(*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))
accuracy98.9%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
Results
200.0ms248×0valid
7.0ms1valid
Compiler

Compiled 331 to 39 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 24.0ms (34.6% of total)
ival-sin: 13.0ms (18.7% of total)
ival-div: 7.0ms (10.1% of total)
ival-pow: 7.0ms (10.1% of total)
ival-add: 5.0ms (7.2% of total)
ival-sub: 4.0ms (5.8% of total)
...c/correct-round.rkt:121:19: 4.0ms (5.8% of total)
ival-cos: 2.0ms (2.9% of total)
const: 1.0ms (1.4% of total)
backward-pass: 1.0ms (1.4% of total)

series60.0ms (0.4%)

Counts
9 → 300
Calls
Call 1
Inputs
#<alt (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))>
#<alt (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))>
#<alt (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))>
#<alt (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))>
#<alt (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))>
#<alt (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))>
Outputs
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 n1_i u)>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
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#<alt (*.f32 n1_i u)>
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#<alt (*.f32 u (+.f32 n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle)))))>
#<alt (*.f32 u (+.f32 n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n1_i) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 u (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n1_i) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 u (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n1_i) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 u (sin.f32 normAngle)))))))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))>
#<alt (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))>
#<alt (*.f32 n1_i u)>
#<alt (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i u) n0_i)))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i u) n0_i)))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i u) n0_i)))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt n0_i>
#<alt (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))))>
#<alt (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i))))) (*.f32 #s(literal -1/6 binary32) n0_i))))>
#<alt (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i))))) (*.f32 #s(literal -1/6 binary32) n0_i))))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
Calls

75 calls:

TimeVariablePointExpression
13.0ms
u
@0
(* u (- (* n1_i (/ normAngle (sin normAngle))) (/ (* (* n0_i normAngle) (cos normAngle)) (sin normAngle))))
4.0ms
normAngle
@-inf
(* u (- (* n1_i (/ normAngle (sin normAngle))) (/ (* (* n0_i normAngle) (cos normAngle)) (sin normAngle))))
2.0ms
normAngle
@inf
(* u (- (* n1_i (/ normAngle (sin normAngle))) (/ (* (* n0_i normAngle) (cos normAngle)) (sin normAngle))))
2.0ms
normAngle
@0
(* u (- (* n1_i (/ normAngle (sin normAngle))) (/ (* (* n0_i normAngle) (cos normAngle)) (sin normAngle))))
2.0ms
u
@0
(* -1/6 (- (pow u 3) u))

rewrite198.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
331×log1p-expm1-u
331×expm1-log1p-u
325×add-cube-cbrt
323×add-exp-log
322×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043465
1724422
Stop Event
node limit
Counts
9 → 219
Calls
Call 1
Inputs
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
(/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) #s(literal 1 binary32))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))) #s(literal 1 binary32))
(pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
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(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
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(log.f32 (exp.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
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(exp.f32 (log.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
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(cbrt.f32 (pow.f32 (fma.f32 n1_i u (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n1_i u (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))))
(log1p.f32 (expm1.f32 (fma.f32 n1_i u (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))))
(exp.f32 (log.f32 (fma.f32 n1_i u (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i u (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))) #s(literal 1 binary32)))
(fma.f32 n1_i u (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(fma.f32 u n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 n1_i u))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i u) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i) (*.f32 n1_i u))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 n1_i u))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (*.f32 n1_i u))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i u)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i u)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (*.f32 n1_i u))
(fma.f32 (sqrt.f32 (*.f32 n1_i u)) (sqrt.f32 (*.f32 n1_i u)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (cos.f32 normAngle) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (*.f32 normAngle n0_i) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 n0_i #s(literal 1 binary32)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))
(*.f32 (/.f32 n0_i (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 n0_i (sqrt.f32 (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (*.f32 normAngle n0_i) #s(literal 1 binary32)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 (/.f32 (*.f32 normAngle n0_i) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (cos.f32 normAngle) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (*.f32 normAngle n0_i) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cos.f32 normAngle) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (cos.f32 normAngle) #s(literal 1 binary32)) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle)))
(*.f32 (/.f32 (cos.f32 normAngle) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (*.f32 normAngle n0_i) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) #s(literal 2 binary32))) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (cbrt.f32 (sin.f32 normAngle))))
(pow.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 n0_i) normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32)))

simplify379.0ms (2.7%)

Algorithm
egg-herbie
Rules
1350×associate-*r*
1186×fma-define
1150×associate-*l*
584×distribute-rgt-in
564×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093937008
1266734304
Stop Event
node limit
Counts
519 → 513
Calls
Call 1
Inputs
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i u)
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
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(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
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n1_i
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(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
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n0_i
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(*.f32 n1_i u)
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n0_i
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(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i u)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i u)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (*.f32 n1_i u))
(fma.f32 (sqrt.f32 (*.f32 n1_i u)) (sqrt.f32 (*.f32 n1_i u)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (cos.f32 normAngle) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (*.f32 normAngle n0_i) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 n0_i #s(literal 1 binary32)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))
(*.f32 (/.f32 n0_i (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 n0_i (sqrt.f32 (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (*.f32 normAngle n0_i) #s(literal 1 binary32)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 (/.f32 (*.f32 normAngle n0_i) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (cos.f32 normAngle) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (*.f32 normAngle n0_i) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cos.f32 normAngle) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (cos.f32 normAngle) #s(literal 1 binary32)) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle)))
(*.f32 (/.f32 (cos.f32 normAngle) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (*.f32 normAngle n0_i) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) #s(literal 2 binary32))) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (cbrt.f32 (sin.f32 normAngle))))
(pow.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 n0_i) normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32)))
Outputs
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))
(*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (pow.f32 normAngle #s(literal 3 binary32))) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))))
(*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 5 binary32))) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (/.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (/.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 7 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle)))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (/.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 7 binary32))) (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 n1_i u)
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 n1_i u)))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 n1_i u))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 n1_i u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n1_i (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 n1_i u))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 n1_i u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 n1_i u))))))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 n1_i u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)))))
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n1_i
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n0_i
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(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 n1_i u))
(expm1.f32 (log1p.f32 (fma.f32 n1_i u (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))))
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(fma.f32 u n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
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(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 n1_i u))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i u))
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(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (*.f32 n1_i u))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 n1_i u))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 n1_i u))
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(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 n1_i u))
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(fma.f32 (sqrt.f32 (*.f32 n1_i u)) (sqrt.f32 (*.f32 n1_i u)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
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(*.f32 (/.f32 (cos.f32 normAngle) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (*.f32 normAngle n0_i) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (cos.f32 normAngle) (sqrt.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n0_i (sqrt.f32 (sin.f32 normAngle)))))
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(*.f32 (/.f32 n0_i #s(literal 1 binary32)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))
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(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 normAngle (*.f32 (/.f32 n0_i (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (cos.f32 normAngle) (cbrt.f32 (sin.f32 normAngle)))))
(*.f32 (/.f32 (*.f32 normAngle n0_i) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cos.f32 normAngle) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (cos.f32 normAngle) (sqrt.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n0_i (sqrt.f32 (sin.f32 normAngle)))))
(*.f32 (/.f32 n0_i (sqrt.f32 (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (cos.f32 normAngle) #s(literal 1 binary32)) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle)))
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(*.f32 (/.f32 (cos.f32 normAngle) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (*.f32 normAngle (/.f32 n0_i (cbrt.f32 (sin.f32 normAngle)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) #s(literal 2 binary32))) (/.f32 (cbrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) #s(literal 2 binary32))) (/.f32 (cbrt.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle)))) (sin.f32 normAngle)))
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(/.f32 (*.f32 (sqrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (/.f32 (sqrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (cbrt.f32 (sin.f32 normAngle)))) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))
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(pow.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 1 binary32))
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(pow.f32 (cbrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 3 binary32))
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(pow.f32 (pow.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
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(pow.f32 (sqrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 2 binary32))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
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(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
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(expm1.f32 (log1p.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 normAngle n0_i))))
(log1p.f32 (expm1.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
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(exp.f32 (log.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 normAngle n0_i))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32)))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
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eval228.0ms (1.6%)

Compiler

Compiled 32628 to 4334 computations (86.7% saved)

prune254.0ms (1.8%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1108161124
Fresh7613
Picked415
Done000
Total1119231142
Accuracy
100.0%
Counts
1142 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
98.2%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
69.1%
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (*.f32 u normAngle) n1_i)) (sin.f32 normAngle))
67.0%
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
33.9%
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
34.0%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
40.6%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
98.2%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
43.5%
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
84.7%
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) n1_i))
83.9%
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 u n1_i))
98.9%
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
84.5%
(+.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle)))) (sin.f32 normAngle))))
75.6%
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
98.9%
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
92.7%
(+.f32 n0_i (*.f32 u (-.f32 n1_i (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
98.2%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
68.8%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
42.6%
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
42.7%
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))))
42.6%
(*.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
42.9%
(*.f32 n1_i u)
45.2%
n0_i
Compiler

Compiled 745 to 502 computations (32.6% saved)

simplify78.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f32 normAngle #s(literal 2 binary32))
cost-diff0
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))
cost-diff0
(*.f32 u normAngle)
cost-diff0
(sin.f32 (*.f32 u normAngle))
cost-diff0
(*.f32 #s(literal -1/6 binary32) n1_i)
cost-diff0
(*.f32 #s(literal -1/2 binary32) n0_i)
cost-diff0
(*.f32 #s(literal -1/6 binary32) n0_i)
cost-diff0
(pow.f32 normAngle #s(literal 2 binary32))
cost-diff0
(sin.f32 normAngle)
cost-diff0
(*.f32 u normAngle)
cost-diff0
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
cost-diff0
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
cost-diff0
(*.f32 n1_i u)
cost-diff0
(*.f32 #s(literal -1/6 binary32) n0_i)
cost-diff0
(pow.f32 normAngle #s(literal 2 binary32))
cost-diff0
(-.f32 n1_i n0_i)
cost-diff0
(*.f32 u (-.f32 n1_i n0_i))
Rules
900×distribute-lft-in
844×associate-+r+
802×distribute-rgt-in
734×fma-define
674×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0441256
11011111
22491005
37731005
426811005
558031005
Stop Event
node limit
Calls
Call 1
Inputs
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
n0_i
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
(*.f32 u (-.f32 n1_i n0_i))
u
(-.f32 n1_i n0_i)
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(*.f32 #s(literal -1/6 binary32) n0_i)
#s(literal -1/6 binary32)
(+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(*.f32 #s(literal -1/2 binary32) n0_i)
#s(literal -1/2 binary32)
(*.f32 #s(literal -1/6 binary32) n1_i)
(*.f32 n1_i u)
n1_i
u
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
n1_i
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
n0_i
(*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i))
u
(-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(*.f32 #s(literal -1/6 binary32) n0_i)
#s(literal -1/6 binary32)
(+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(*.f32 #s(literal -1/2 binary32) n0_i)
#s(literal -1/2 binary32)
(*.f32 #s(literal -1/6 binary32) n1_i)
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))))
n1_i
(/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))
#s(literal 1 binary32)
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
#s(literal 2 binary32)
#s(literal -1/6 binary32)
Outputs
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
(+.f32 n0_i (fma.f32 u (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))))))
(+.f32 n0_i (fma.f32 u (-.f32 n1_i n0_i) (*.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))))))
(fma.f32 u (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(fma.f32 u (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
n0_i
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
(fma.f32 u (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))))))
(fma.f32 u (-.f32 n1_i n0_i) (*.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))))
(*.f32 u (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))
(*.f32 u (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)))
(*.f32 u (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)))
(*.f32 u (-.f32 n1_i n0_i))
u
(-.f32 n1_i n0_i)
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))))
(*.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))))
(*.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))
(*.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
(*.f32 u (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))))
(*.f32 u (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))
(*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))
(+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
(*.f32 #s(literal -1/6 binary32) n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))
(fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))
(*.f32 #s(literal -1/2 binary32) n0_i)
(*.f32 n0_i #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
(*.f32 #s(literal -1/6 binary32) n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(*.f32 n1_i u)
(*.f32 u n1_i)
n1_i
u
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 (*.f32 n1_i normAngle) u) (sin.f32 normAngle))
(*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 (*.f32 u n1_i) (sin.f32 normAngle)))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
n1_i
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(+.f32 n0_i (fma.f32 u (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))))))
(+.f32 n0_i (fma.f32 u (-.f32 n1_i n0_i) (*.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))))))
(fma.f32 u (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(fma.f32 u (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
n0_i
(*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i))
(fma.f32 u (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))))))
(fma.f32 u (-.f32 n1_i n0_i) (*.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))))
(*.f32 u (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))
(*.f32 u (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)))
(*.f32 u (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)))
u
(-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)
(+.f32 n1_i (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))) n0_i))
(-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) n1_i) n0_i)
(-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i)
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i))
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) n1_i)
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i)
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))
(+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
(*.f32 #s(literal -1/6 binary32) n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))
(fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))
(*.f32 #s(literal -1/2 binary32) n0_i)
(*.f32 n0_i #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
(*.f32 #s(literal -1/6 binary32) n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))))
(*.f32 (/.f32 n1_i normAngle) (/.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)))
n1_i
(/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))
(*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
#s(literal 2 binary32)
#s(literal -1/6 binary32)

localize332.0ms (2.4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))
accuracy99.9%
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))))
accuracy99.4%
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))
accuracy94.1%
(/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
accuracy99.6%
(*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i))
accuracy99.1%
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
accuracy99.1%
(*.f32 #s(literal -1/6 binary32) n1_i)
accuracy99.0%
(*.f32 #s(literal -1/6 binary32) n0_i)
accuracy100.0%
(*.f32 u normAngle)
accuracy100.0%
(sin.f32 normAngle)
accuracy100.0%
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
accuracy94.1%
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
accuracy100.0%
(*.f32 n1_i u)
accuracy99.3%
(*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
accuracy99.1%
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
accuracy99.1%
(*.f32 #s(literal -1/6 binary32) n1_i)
accuracy99.0%
(*.f32 #s(literal -1/6 binary32) n0_i)
Results
130.0ms254×0valid
5.0ms5exit
Compiler

Compiled 354 to 37 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 34.0ms (51.3% of total)
ival-add: 8.0ms (12.1% of total)
ival-sin: 7.0ms (10.6% of total)
...c/correct-round.rkt:121:19: 5.0ms (7.5% of total)
ival-sub: 5.0ms (7.5% of total)
ival-div: 4.0ms (6% of total)
ival-pow: 3.0ms (4.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 1.0ms (1.5% of total)

series96.0ms (0.7%)

Counts
16 → 273
Calls
Call 1
Inputs
#<alt (*.f32 u (-.f32 n1_i n0_i))>
#<alt (-.f32 n1_i n0_i)>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (*.f32 #s(literal -1/6 binary32) n0_i)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1/2 binary32) n0_i)>
#<alt (*.f32 #s(literal -1/6 binary32) n1_i)>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))>
#<alt (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))>
#<alt (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i))>
#<alt (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))))>
#<alt (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))))>
#<alt (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))>
Outputs
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))>
#<alt (*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))>
#<alt (*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))>
#<alt (*.f32 n1_i u)>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i)))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i)))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))>
#<alt (*.f32 #s(literal -1 binary32) n0_i)>
#<alt n1_i>
#<alt (*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))>
#<alt (*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))>
#<alt (*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))>
#<alt n1_i>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32))))>
#<alt n1_i>
#<alt (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))>
#<alt (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))>
#<alt (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))>
#<alt (*.f32 #s(literal -1 binary32) n0_i)>
#<alt (*.f32 n0_i (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)))>
#<alt (*.f32 n0_i (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)))>
#<alt (*.f32 n0_i (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) n0_i)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 n1_i u)>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt u>
#<alt (+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))>
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#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 6 binary32) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (*.f32 #s(literal 36 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (pow.f32 normAngle #s(literal 2 binary32))))) (pow.f32 normAngle #s(literal 3 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 6 binary32) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (+.f32 (*.f32 #s(literal 36 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 216 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (pow.f32 normAngle #s(literal 4 binary32)))))) (pow.f32 normAngle #s(literal 3 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 6 binary32) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (+.f32 (*.f32 #s(literal 36 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (pow.f32 normAngle #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal 216 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (pow.f32 normAngle #s(literal 4 binary32)))) (*.f32 #s(literal 1296 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (pow.f32 normAngle #s(literal 6 binary32))))))) (pow.f32 normAngle #s(literal 3 binary32))))>
#<alt normAngle>
#<alt (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/6 binary32)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/6 binary32)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/6 binary32)))>
#<alt (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
Calls

96 calls:

TimeVariablePointExpression
25.0ms
n0_i
@inf
(* u (- (+ n1_i (* (pow normAngle 2) (- (* -1/6 n0_i) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i))
15.0ms
n0_i
@0
(* u (- (+ n1_i (* (pow normAngle 2) (- (* -1/6 n0_i) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i))
6.0ms
n1_i
@0
(- (* -1/6 n0_i) (+ (* -1/2 n0_i) (* -1/6 n1_i)))
1.0ms
normAngle
@inf
(* u (- (+ n1_i (* (pow normAngle 2) (- (* -1/6 n0_i) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i))
1.0ms
u
@0
(* u (- (+ n1_i (* (pow normAngle 2) (- (* -1/6 n0_i) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i))

rewrite144.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
315×log1p-expm1-u
315×expm1-log1p-u
309×add-cube-cbrt
307×add-exp-log
307×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040470
1667454
Stop Event
node limit
Counts
16 → 316
Calls
Call 1
Inputs
(*.f32 u (-.f32 n1_i n0_i))
(-.f32 n1_i n0_i)
(pow.f32 normAngle #s(literal 2 binary32))
(*.f32 #s(literal -1/6 binary32) n0_i)
(*.f32 n1_i u)
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 #s(literal -1/2 binary32) n0_i)
(*.f32 #s(literal -1/6 binary32) n1_i)
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
(*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i))
(/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 u (-.f32 n1_i n0_i)))) #s(literal 1 binary32))
(pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 u (-.f32 n1_i n0_i))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u (-.f32 n1_i n0_i))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) (-.f32 n1_i n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 u (-.f32 n1_i n0_i)))))
(cbrt.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 u (-.f32 n1_i n0_i))))
(log1p.f32 (expm1.f32 (*.f32 u (-.f32 n1_i n0_i))))
(exp.f32 (log.f32 (*.f32 u (-.f32 n1_i n0_i))))
(exp.f32 (*.f32 (log.f32 (*.f32 u (-.f32 n1_i n0_i))) #s(literal 1 binary32)))
(+.f32 n1_i (neg.f32 n0_i))
(+.f32 (-.f32 n1_i n0_i) (fma.f32 (neg.f32 (sqrt.f32 n0_i)) (sqrt.f32 n0_i) n0_i))
(+.f32 (fma.f32 #s(literal 1 binary32) n1_i (neg.f32 (*.f32 n0_i #s(literal 1 binary32)))) (fma.f32 (neg.f32 n0_i) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) n1_i (neg.f32 (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 n0_i)) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 n1_i) #s(literal 2 binary32)) (cbrt.f32 n1_i) (neg.f32 (*.f32 n0_i #s(literal 1 binary32)))) (fma.f32 (neg.f32 n0_i) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1 binary32))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 n1_i) #s(literal 2 binary32)) (cbrt.f32 n1_i) (neg.f32 (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 n0_i)) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (sqrt.f32 n1_i) (sqrt.f32 n1_i) (neg.f32 (*.f32 n0_i #s(literal 1 binary32)))) (fma.f32 (neg.f32 n0_i) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1 binary32))))
(+.f32 (fma.f32 (sqrt.f32 n1_i) (sqrt.f32 n1_i) (neg.f32 (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 n0_i)) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (-.f32 n1_i n0_i))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (cbrt.f32 (-.f32 n1_i n0_i)))
(*.f32 (sqrt.f32 (-.f32 n1_i n0_i)) (sqrt.f32 (-.f32 n1_i n0_i)))
(/.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 n1_i n1_i (fma.f32 n0_i n0_i (*.f32 n1_i n0_i))))
(/.f32 (-.f32 (pow.f32 n1_i #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32))) (+.f32 n1_i n0_i))
(/.f32 (neg.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (neg.f32 (fma.f32 n1_i n1_i (fma.f32 n0_i n0_i (*.f32 n1_i n0_i)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n1_i #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32)))) (neg.f32 (+.f32 n1_i n0_i)))
(/.f32 (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (neg.f32 n0_i) #s(literal 3 binary32))) (+.f32 (pow.f32 n1_i #s(literal 2 binary32)) (-.f32 (*.f32 (neg.f32 n0_i) (neg.f32 n0_i)) (*.f32 n1_i (neg.f32 n0_i)))))
(pow.f32 (-.f32 n1_i n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (-.f32 n1_i n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (-.f32 n1_i n0_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (-.f32 n1_i n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 n1_i n0_i))))
(cbrt.f32 (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (-.f32 n1_i n0_i)))
(log1p.f32 (expm1.f32 (-.f32 n1_i n0_i)))
(exp.f32 (log.f32 (-.f32 n1_i n0_i)))
(exp.f32 (*.f32 (log.f32 (-.f32 n1_i n0_i)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) n1_i (neg.f32 n0_i))
(fma.f32 (pow.f32 (cbrt.f32 n1_i) #s(literal 2 binary32)) (cbrt.f32 n1_i) (neg.f32 n0_i))
(fma.f32 (sqrt.f32 n1_i) (sqrt.f32 n1_i) (neg.f32 n0_i))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 normAngle normAngle)
(*.f32 #s(literal 1 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 (cbrt.f32 (pow.f32 normAngle #s(literal 4 binary32))) (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 normAngle #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 normAngle)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 normAngle)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n0_i #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 n0_i #s(literal -1/6 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n0_i #s(literal -1/6 binary32))) #s(literal 3 binary32))
(pow.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/216 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n0_i #s(literal -1/6 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 n0_i #s(literal -1/6 binary32)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 #s(literal -1/6 binary32)) n0_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n0_i #s(literal -1/6 binary32)))))
(cbrt.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/216 binary32)))
(expm1.f32 (log1p.f32 (*.f32 n0_i #s(literal -1/6 binary32))))
(log1p.f32 (expm1.f32 (*.f32 n0_i #s(literal -1/6 binary32))))
(exp.f32 (log.f32 (*.f32 n0_i #s(literal -1/6 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 n0_i #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u n1_i))) #s(literal 1 binary32))
(pow.f32 (*.f32 u n1_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 u n1_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 u n1_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u n1_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 u n1_i) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) n1_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 u n1_i))))
(cbrt.f32 (pow.f32 (*.f32 u n1_i) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 u n1_i)))
(log1p.f32 (expm1.f32 (*.f32 u n1_i)))
(exp.f32 (log.f32 (*.f32 u n1_i)))
(exp.f32 (*.f32 (log.f32 (*.f32 u n1_i)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))) #s(literal 1 binary32))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 n1_i (*.f32 u normAngle))) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u) (/.f32 normAngle (sin.f32 normAngle))) n1_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))))
(cbrt.f32 (pow.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))))
(exp.f32 (log.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))) #s(literal 1 binary32))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(*.f32 (sqrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(*.f32 (/.f32 normAngle #s(literal 1 binary32)) (/.f32 u (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (*.f32 u normAngle) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 normAngle (sqrt.f32 (sin.f32 normAngle))) (/.f32 u (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 u #s(literal 1 binary32)) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (/.f32 u (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 normAngle (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 u (sqrt.f32 (sin.f32 normAngle))) (/.f32 normAngle (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 normAngle (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 u (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 u normAngle)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 u normAngle)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 u normAngle)) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (*.f32 u normAngle)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u normAngle)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
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(pow.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))) n1_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))))))
(cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))))
(exp.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
(+.f32 normAngle (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle))
(+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))) #s(literal 1 binary32))
(/.f32 (+.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle) #s(literal 3 binary32))) (+.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle)) (*.f32 normAngle (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle)))))
(/.f32 (+.f32 (pow.f32 (*.f32 normAngle #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 normAngle (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))))))
(pow.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 normAngle) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
(exp.f32 (log.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) #s(literal 1 binary32)))
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle))
(fma.f32 (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)) (cbrt.f32 normAngle) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle))
(fma.f32 (sqrt.f32 normAngle) (sqrt.f32 normAngle) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle))

simplify227.0ms (1.6%)

Algorithm
egg-herbie
Rules
1142×fma-define
578×distribute-rgt-in
562×distribute-lft-in
554×*-commutative
498×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113125087
1297623033
Stop Event
node limit
Counts
589 → 644
Calls
Call 1
Inputs
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(*.f32 n1_i u)
(*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 n1_i u)
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 n1_i u)
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i)))
(*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i)))
(*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i)))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))
(*.f32 #s(literal -1 binary32) n0_i)
n1_i
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
n1_i
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32))))
n1_i
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))
(*.f32 #s(literal -1 binary32) n0_i)
(*.f32 n0_i (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)))
(*.f32 n0_i (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)))
(*.f32 n0_i (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) n0_i)
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i u)
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
u
(+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) u) (*.f32 #s(literal 1/120 binary32) u)))) (*.f32 #s(literal -1/6 binary32) u))))
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) u) (+.f32 (*.f32 #s(literal 1/720 binary32) u) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) u) (*.f32 #s(literal 1/120 binary32) u))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) u) (*.f32 #s(literal 1/120 binary32) u)))) (*.f32 #s(literal -1/6 binary32) u))))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 #s(literal 1/6 binary32) n1_i)
(-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(*.f32 #s(literal 1/3 binary32) n0_i)
(*.f32 n0_i (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 n1_i n0_i))))
(*.f32 n0_i (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 n1_i n0_i))))
(*.f32 n0_i (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 n1_i n0_i))))
(*.f32 #s(literal 1/3 binary32) n0_i)
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(/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))
u
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))
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(/.f32 (*.f32 n1_i u) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))
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(*.f32 n1_i u)
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
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normAngle
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
(*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)))
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(*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/6 binary32)))
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(-.f32 (exp.f32 (log1p.f32 (*.f32 u (-.f32 n1_i n0_i)))) #s(literal 1 binary32))
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(sqrt.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) (-.f32 n1_i n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 u (-.f32 n1_i n0_i)))))
(cbrt.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
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(log1p.f32 (expm1.f32 (*.f32 u (-.f32 n1_i n0_i))))
(exp.f32 (log.f32 (*.f32 u (-.f32 n1_i n0_i))))
(exp.f32 (*.f32 (log.f32 (*.f32 u (-.f32 n1_i n0_i))) #s(literal 1 binary32)))
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(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle))
(fma.f32 (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)) (cbrt.f32 normAngle) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle))
(fma.f32 (sqrt.f32 normAngle) (sqrt.f32 normAngle) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle))
Outputs
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(*.f32 (neg.f32 n0_i) u)
(*.f32 n0_i (neg.f32 u))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i u) (*.f32 u n1_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i u) (*.f32 u n1_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i u) (*.f32 u n1_i))
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
(*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 n1_i (+.f32 u (neg.f32 (*.f32 n0_i (/.f32 u n1_i)))))
(*.f32 n1_i (-.f32 u (*.f32 u (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 n1_i (+.f32 u (neg.f32 (*.f32 n0_i (/.f32 u n1_i)))))
(*.f32 n1_i (-.f32 u (*.f32 u (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 n1_i (+.f32 u (neg.f32 (*.f32 n0_i (/.f32 u n1_i)))))
(*.f32 n1_i (-.f32 u (*.f32 u (/.f32 n0_i n1_i))))
(*.f32 n1_i u)
(*.f32 u n1_i)
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))
(neg.f32 (*.f32 n1_i (fma.f32 #s(literal -1 binary32) u (*.f32 n0_i (/.f32 u n1_i)))))
(*.f32 (-.f32 (*.f32 u (/.f32 n0_i n1_i)) u) (neg.f32 n1_i))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))
(neg.f32 (*.f32 n1_i (fma.f32 #s(literal -1 binary32) u (*.f32 n0_i (/.f32 u n1_i)))))
(*.f32 (-.f32 (*.f32 u (/.f32 n0_i n1_i)) u) (neg.f32 n1_i))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))
(neg.f32 (*.f32 n1_i (fma.f32 #s(literal -1 binary32) u (*.f32 n0_i (/.f32 u n1_i)))))
(*.f32 (-.f32 (*.f32 u (/.f32 n0_i n1_i)) u) (neg.f32 n1_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i u) (*.f32 u n1_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i u) (*.f32 u n1_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i u) (*.f32 u n1_i))
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(*.f32 (neg.f32 n0_i) u)
(*.f32 n0_i (neg.f32 u))
(*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i)))
(*.f32 n0_i (fma.f32 #s(literal -1 binary32) u (*.f32 n1_i (/.f32 u n0_i))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)))
(*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i)))
(*.f32 n0_i (fma.f32 #s(literal -1 binary32) u (*.f32 n1_i (/.f32 u n0_i))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)))
(*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i)))
(*.f32 n0_i (fma.f32 #s(literal -1 binary32) u (*.f32 n1_i (/.f32 u n0_i))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(*.f32 (neg.f32 n0_i) u)
(*.f32 n0_i (neg.f32 u))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))
(*.f32 (neg.f32 n0_i) (+.f32 u (neg.f32 (*.f32 n1_i (/.f32 u n0_i)))))
(*.f32 (-.f32 u (*.f32 u (/.f32 n1_i n0_i))) (neg.f32 n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))
(*.f32 (neg.f32 n0_i) (+.f32 u (neg.f32 (*.f32 n1_i (/.f32 u n0_i)))))
(*.f32 (-.f32 u (*.f32 u (/.f32 n1_i n0_i))) (neg.f32 n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))
(*.f32 (neg.f32 n0_i) (+.f32 u (neg.f32 (*.f32 n1_i (/.f32 u n0_i)))))
(*.f32 (-.f32 u (*.f32 u (/.f32 n1_i n0_i))) (neg.f32 n0_i))
(*.f32 #s(literal -1 binary32) n0_i)
(neg.f32 n0_i)
n1_i
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (/.f32 (neg.f32 n0_i) n1_i)))
(*.f32 n1_i (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i)))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (/.f32 (neg.f32 n0_i) n1_i)))
(*.f32 n1_i (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i)))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (/.f32 (neg.f32 n0_i) n1_i)))
(*.f32 n1_i (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i)))
n1_i
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32))))
(neg.f32 (*.f32 n1_i (+.f32 (/.f32 n0_i n1_i) #s(literal -1 binary32))))
(*.f32 n1_i (neg.f32 (+.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32))))
(neg.f32 (*.f32 n1_i (+.f32 (/.f32 n0_i n1_i) #s(literal -1 binary32))))
(*.f32 n1_i (neg.f32 (+.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32))))
(neg.f32 (*.f32 n1_i (+.f32 (/.f32 n0_i n1_i) #s(literal -1 binary32))))
(*.f32 n1_i (neg.f32 (+.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
n1_i
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))
(-.f32 n1_i n0_i)
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))
(-.f32 n1_i n0_i)
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))
(-.f32 n1_i n0_i)
(*.f32 #s(literal -1 binary32) n0_i)
(neg.f32 n0_i)
(*.f32 n0_i (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)))
(*.f32 n0_i (+.f32 (/.f32 n1_i n0_i) #s(literal -1 binary32)))
(*.f32 n0_i (+.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))
(*.f32 n0_i (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)))
(*.f32 n0_i (+.f32 (/.f32 n1_i n0_i) #s(literal -1 binary32)))
(*.f32 n0_i (+.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))
(*.f32 n0_i (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)))
(*.f32 n0_i (+.f32 (/.f32 n1_i n0_i) #s(literal -1 binary32)))
(*.f32 n0_i (+.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))
(*.f32 #s(literal -1 binary32) n0_i)
(neg.f32 n0_i)
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))))
(*.f32 (neg.f32 n0_i) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 n1_i n0_i))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)) (neg.f32 n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))))
(*.f32 (neg.f32 n0_i) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 n1_i n0_i))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)) (neg.f32 n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))))
(*.f32 (neg.f32 n0_i) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 n1_i n0_i))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)) (neg.f32 n0_i))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u))
(fma.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 (*.f32 u n1_i) #s(literal -7/360 binary32)))) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (neg.f32 (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 (*.f32 u n1_i) #s(literal -7/360 binary32)) (*.f32 (*.f32 u n1_i) #s(literal 1/6 binary32))) (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (neg.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 u n1_i) (fma.f32 #s(literal 1/720 binary32) (*.f32 u n1_i) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 u n1_i) #s(literal -7/360 binary32))))))) (*.f32 (*.f32 u n1_i) #s(literal -7/360 binary32)))) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (neg.f32 (pow.f32 normAngle #s(literal 2 binary32))) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 u n1_i) #s(literal -7/360 binary32))) (*.f32 (*.f32 u n1_i) #s(literal 1/840 binary32))) (*.f32 (*.f32 u n1_i) #s(literal 7/360 binary32))) (*.f32 (*.f32 u n1_i) #s(literal 1/6 binary32))) (*.f32 u n1_i))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
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(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
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(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)))
(pow.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))) #s(literal 2 binary32))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)))
(sqrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)))))) #s(literal 2 binary32)))
(fabs.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle))))
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))) n1_i))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)))
(cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))) #s(literal 3 binary32)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)))
(cbrt.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) #s(literal 3 binary32))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)))
(expm1.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))))
(expm1.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))))))
(expm1.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)))
(exp.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)))
(+.f32 normAngle (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(-.f32 (exp.f32 (log1p.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))))
(expm1.f32 (log1p.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)))
(/.f32 (+.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle) #s(literal 3 binary32))) (+.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle)) (*.f32 normAngle (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle)))))
(/.f32 (+.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) #s(literal 3 binary32))) (fma.f32 normAngle normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) normAngle))))
(/.f32 (+.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) normAngle) (pow.f32 normAngle #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 normAngle #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 normAngle (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))))))
(/.f32 (+.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) #s(literal 3 binary32))) (fma.f32 normAngle normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) normAngle))))
(/.f32 (+.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) normAngle) (pow.f32 normAngle #s(literal 2 binary32))))
(pow.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(literal 1 binary32))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(pow.f32 (cbrt.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) #s(literal 3 binary32))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(pow.f32 (pow.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(pow.f32 (sqrt.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) #s(literal 2 binary32))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(sqrt.f32 (pow.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)))) #s(literal 2 binary32)))
(fabs.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle))
(log.f32 (pow.f32 (exp.f32 normAngle) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(cbrt.f32 (pow.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(literal 3 binary32)))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) #s(literal 3 binary32))))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(expm1.f32 (log1p.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
(expm1.f32 (log1p.f32 (+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))))
(expm1.f32 (log1p.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)))
(log1p.f32 (expm1.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(exp.f32 (log.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) #s(literal 1 binary32)))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(fma.f32 (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)) (cbrt.f32 normAngle) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)
(fma.f32 (sqrt.f32 normAngle) (sqrt.f32 normAngle) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)) normAngle))
(+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32)) normAngle)

eval111.0ms (0.8%)

Compiler

Compiled 22498 to 4219 computations (81.2% saved)

prune221.0ms (1.6%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New8867893
Fresh41317
Picked415
Done011
Total89422916
Accuracy
100.0%
Counts
916 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
98.2%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
69.1%
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (*.f32 u normAngle) n1_i)) (sin.f32 normAngle))
33.9%
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
34.0%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
40.6%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
98.2%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
43.5%
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
83.9%
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 u n1_i))
98.9%
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
84.5%
(+.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle)))) (sin.f32 normAngle))))
75.6%
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
98.9%
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
92.7%
(+.f32 n0_i (*.f32 u (-.f32 n1_i (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
98.2%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
68.8%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
42.7%
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))))
43.4%
(*.f32 n1_i (/.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))
42.5%
(*.f32 n1_i (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
43.4%
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
42.9%
(*.f32 n1_i u)
45.2%
n0_i
Compiler

Compiled 684 to 455 computations (33.5% saved)

simplify65.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 u normAngle)
cost-diff0
(sin.f32 (*.f32 u normAngle))
cost-diff0
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
cost-diff0
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
cost-diff0
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
cost-diff0
(*.f32 u normAngle)
cost-diff64
(*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff64
(*.f32 n1_i (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
cost-diff0
(-.f32 n1_i n0_i)
cost-diff0
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
cost-diff-3136
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
cost-diff0
(-.f32 n1_i n0_i)
cost-diff0
(*.f32 u (-.f32 n1_i n0_i))
cost-diff0
(*.f32 #s(literal -1/6 binary32) n0_i)
cost-diff0
(*.f32 normAngle normAngle)
cost-diff0
(-.f32 n1_i n0_i)
cost-diff0
(*.f32 u (-.f32 n1_i n0_i))
Rules
1822×fmm-def
834×distribute-lft-in
792×associate-+r-
722×distribute-rgt-in
616×distribute-neg-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038804
179737
2197707
3593695
42256695
54805695
Stop Event
node limit
Calls
Call 1
Inputs
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
n0_i
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
(*.f32 u (-.f32 n1_i n0_i))
u
(-.f32 n1_i n0_i)
n1_i
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))
(*.f32 normAngle normAngle)
normAngle
(*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(*.f32 #s(literal -1/6 binary32) n0_i)
#s(literal -1/6 binary32)
(+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(*.f32 #s(literal -1/2 binary32) n0_i)
#s(literal -1/2 binary32)
(*.f32 #s(literal -1/6 binary32) n1_i)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
n0_i
(*.f32 u (-.f32 n1_i n0_i))
u
(-.f32 n1_i n0_i)
n1_i
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
u
(-.f32 n1_i n0_i)
n1_i
n0_i
(*.f32 n1_i (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
n1_i
(*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 u normAngle)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
n1_i
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
Outputs
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
(+.f32 n0_i (fma.f32 u (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))))))
(+.f32 n0_i (fma.f32 u (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))))))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
n0_i
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
(fma.f32 u (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))))))
(fma.f32 u (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))))
(*.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)))
(*.f32 u (-.f32 n1_i n0_i))
u
(-.f32 n1_i n0_i)
n1_i
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))))
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))))
(*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 u (*.f32 normAngle normAngle)))
(*.f32 u (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))
(*.f32 normAngle normAngle)
normAngle
(*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
(*.f32 u (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))))
(*.f32 u (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))
(*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))
(+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(*.f32 #s(literal -1/6 binary32) n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))
(fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))
(*.f32 #s(literal -1/2 binary32) n0_i)
(*.f32 n0_i #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
(*.f32 #s(literal -1/6 binary32) n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
n0_i
(*.f32 u (-.f32 n1_i n0_i))
u
(-.f32 n1_i n0_i)
n1_i
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
u
(-.f32 n1_i n0_i)
n1_i
n0_i
(*.f32 n1_i (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(*.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
n1_i
(*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(*.f32 u normAngle)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
n1_i
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)

localize127.0ms (0.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f32 normAngle)
accuracy100.0%
(sin.f32 (*.f32 u normAngle))
accuracy99.7%
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
accuracy60.2%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
accuracy100.0%
(sin.f32 normAngle)
accuracy100.0%
(*.f32 n1_i (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
accuracy99.9%
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
accuracy93.7%
(*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy100.0%
(-.f32 n1_i n0_i)
accuracy99.9%
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
accuracy100.0%
(-.f32 n1_i n0_i)
accuracy99.7%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
accuracy99.7%
(*.f32 u (-.f32 n1_i n0_i))
accuracy99.3%
(*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
accuracy99.1%
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
accuracy99.1%
(*.f32 #s(literal -1/6 binary32) n1_i)
accuracy99.0%
(*.f32 #s(literal -1/6 binary32) n0_i)
Results
81.0ms254×0valid
3.0ms5exit
Compiler

Compiled 216 to 30 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 20.0ms (45.9% of total)
ival-add: 6.0ms (13.8% of total)
...c/correct-round.rkt:121:19: 5.0ms (11.5% of total)
ival-sin: 5.0ms (11.5% of total)
ival-div: 4.0ms (9.2% of total)
ival-sub: 3.0ms (6.9% of total)
const: 1.0ms (2.3% of total)
backward-pass: 1.0ms (2.3% of total)

series13.0ms (0.1%)

Counts
7 → 213
Calls
Call 1
Inputs
#<alt (*.f32 normAngle normAngle)>
#<alt (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))>
#<alt (fma.f32 u (-.f32 n1_i n0_i) n0_i)>
#<alt (*.f32 n1_i (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))>
#<alt (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))>
Outputs
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (*.f32 n1_i u)>
#<alt (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 u #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i))) #s(literal 1 binary32))))>
#<alt n0_i>
#<alt (*.f32 u (-.f32 n1_i n0_i))>
#<alt (*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))>
#<alt (*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))>
#<alt (*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))>
#<alt (*.f32 u (-.f32 n1_i n0_i))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)))>
#<alt (+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u)))>
#<alt (+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u)))>
#<alt (+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u)))>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i (+.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 n0_i n1_i))))>
#<alt (*.f32 n1_i (+.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 n0_i n1_i))))>
#<alt (*.f32 n1_i (+.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 n0_i n1_i))))>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))>
#<alt n0_i>
#<alt (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))>
#<alt (*.f32 u (-.f32 n1_i n0_i))>
#<alt (*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))>
#<alt (*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))>
#<alt (*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))>
#<alt (*.f32 u (-.f32 n1_i n0_i))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
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#<alt (*.f32 normAngle (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 u #s(literal 3 binary32))))) (*.f32 n1_i u)))>
#<alt (*.f32 normAngle (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 u #s(literal 5 binary32)))))))))>
#<alt (*.f32 normAngle (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 u #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))))))))>
#<alt (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))>
#<alt (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))>
#<alt (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))>
#<alt (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))>
#<alt (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))>
#<alt (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))>
#<alt (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))>
#<alt (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))>
Calls

54 calls:

TimeVariablePointExpression
0.0ms
normAngle
@0
(/ (* n1_i (sin (* u normAngle))) (sin normAngle))
0.0ms
u
@0
(/ (* n1_i (sin (* u normAngle))) (sin normAngle))
0.0ms
u
@inf
(+ n0_i (* u (- n1_i n0_i)))
0.0ms
normAngle
@0
(* n1_i (* (* u normAngle) (/ 1 (sin normAngle))))
0.0ms
normAngle
@0
(* n1_i (sin (* u normAngle)))

rewrite177.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1178×log1p-expm1-u
659×expm1-log1p-u
358×associate-*r*
240×associate-*l*
167×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027190
1390190
25148190
Stop Event
node limit
Counts
7 → 190
Calls
Call 1
Inputs
(*.f32 normAngle normAngle)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
Outputs
(-.f32 (exp.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 1 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(sqrt.f32 (pow.f32 normAngle #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 normAngle)))
(exp.f32 (*.f32 (log.f32 normAngle) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 normAngle)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 n0_i #s(literal 2 binary32)) (-.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) (/.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (-.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(*.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(*.f32 (cbrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) (pow.f32 (cbrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) (sqrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(*.f32 (+.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i n0_i (*.f32 (*.f32 u (-.f32 n1_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i)))))
(*.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 u (-.f32 n1_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))) (+.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 n0_i n0_i (*.f32 (*.f32 u (-.f32 n1_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))))
(/.f32 (+.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 u (-.f32 n1_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32)))) (neg.f32 (-.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(/.f32 (-.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32))) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
(pow.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(exp.f32 (log.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) #s(literal 1 binary32)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 #s(literal 1 binary32) (*.f32 u (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u (-.f32 n1_i n0_i))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (-.f32 n1_i n0_i))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 (sqrt.f32 (*.f32 u (-.f32 n1_i n0_i))) (sqrt.f32 (*.f32 u (-.f32 n1_i n0_i))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i)
(-.f32 (exp.f32 (log1p.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 n0_i #s(literal 2 binary32)) (-.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) (/.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (-.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(*.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(*.f32 (cbrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) (pow.f32 (cbrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) (sqrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(*.f32 (+.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i n0_i (*.f32 (*.f32 u (-.f32 n1_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i)))))
(*.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 u (-.f32 n1_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))) (+.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 n0_i n0_i (*.f32 (*.f32 u (-.f32 n1_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))))
(/.f32 (+.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 u (-.f32 n1_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32)))) (neg.f32 (-.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(/.f32 (-.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32))) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
(pow.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(exp.f32 (log.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)))) #s(literal 1 binary32))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle u)) #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle u)) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u) (/.f32 normAngle (sin.f32 normAngle))) n1_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)))))
(cbrt.f32 (pow.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i))))
(log1p.f32 (expm1.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i))))
(exp.f32 (log.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i))))
(exp.f32 (*.f32 (log.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))) #s(literal 1 binary32))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)))
(/.f32 (neg.f32 (*.f32 normAngle u)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (*.f32 normAngle u) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (*.f32 normAngle u) #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (/.f32 (*.f32 normAngle u) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (*.f32 normAngle u) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) (/.f32 normAngle (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) #s(literal 1 binary32))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (pow.f32 (cbrt.f32 n1_i) #s(literal 2 binary32)) (*.f32 (cbrt.f32 n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(*.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (/.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)))
(*.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (*.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 n1_i) (*.f32 (sqrt.f32 n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (neg.f32 n1_i)) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i)
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 n1_i (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 n1_i #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 normAngle u)) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 n1_i (sqrt.f32 (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 1 binary32)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 n1_i (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (neg.f32 n1_i)) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))) #s(literal 1 binary32))
(pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 normAngle u))) n1_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))))
(cbrt.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))))
(exp.f32 (log.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 1 binary32)))

simplify218.0ms (1.6%)

Algorithm
egg-herbie
Rules
878×associate-*r*
836×cancel-sign-sub-inv
824×associate-*l*
608×fma-define
596×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057416528
1150215640
2534015488
Stop Event
node limit
Counts
403 → 262
Calls
Call 1
Inputs
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(*.f32 n1_i u)
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 u #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i))) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i))) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i))) #s(literal 1 binary32))))
n0_i
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))
(*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))
(*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u)))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u)))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u)))
(*.f32 n1_i u)
(*.f32 n1_i (+.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 n0_i n1_i))))
(*.f32 n1_i u)
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))
n0_i
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))
(*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))
(*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u)))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u)))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u)))
(*.f32 n1_i u)
(*.f32 n1_i (+.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 n0_i n1_i))))
(*.f32 n1_i u)
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))
(*.f32 n1_i u)
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 u #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i))) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i))) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i))) #s(literal 1 binary32))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
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(cbrt.f32 (*.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))) #s(literal 1 binary32))
(pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 normAngle u))) n1_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))))
(cbrt.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))))
(exp.f32 (log.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 1 binary32)))
Outputs
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(*.f32 n1_i u)
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))
(fma.f32 n0_i (+.f32 #s(literal 1 binary32) (neg.f32 u)) (*.f32 n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))
(fma.f32 n0_i (+.f32 #s(literal 1 binary32) (neg.f32 u)) (*.f32 n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))
(fma.f32 n0_i (+.f32 #s(literal 1 binary32) (neg.f32 u)) (*.f32 n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (neg.f32 u)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) u (*.f32 n1_i (/.f32 u n0_i)))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) u (*.f32 n1_i (/.f32 u n0_i)))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) u (*.f32 n1_i (/.f32 u n0_i)))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 u #s(literal 1 binary32))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (neg.f32 u)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i))) #s(literal 1 binary32))))
(neg.f32 (*.f32 n0_i (+.f32 u (-.f32 (neg.f32 (*.f32 n1_i (/.f32 u n0_i))) #s(literal 1 binary32)))))
(*.f32 (+.f32 #s(literal -1 binary32) (-.f32 u (*.f32 n1_i (/.f32 u n0_i)))) (neg.f32 n0_i))
(*.f32 (+.f32 u (fma.f32 (neg.f32 n1_i) (/.f32 u n0_i) #s(literal -1 binary32))) (neg.f32 n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i))) #s(literal 1 binary32))))
(neg.f32 (*.f32 n0_i (+.f32 u (-.f32 (neg.f32 (*.f32 n1_i (/.f32 u n0_i))) #s(literal 1 binary32)))))
(*.f32 (+.f32 #s(literal -1 binary32) (-.f32 u (*.f32 n1_i (/.f32 u n0_i)))) (neg.f32 n0_i))
(*.f32 (+.f32 u (fma.f32 (neg.f32 n1_i) (/.f32 u n0_i) #s(literal -1 binary32))) (neg.f32 n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i))) #s(literal 1 binary32))))
(neg.f32 (*.f32 n0_i (+.f32 u (-.f32 (neg.f32 (*.f32 n1_i (/.f32 u n0_i))) #s(literal 1 binary32)))))
(*.f32 (+.f32 #s(literal -1 binary32) (-.f32 u (*.f32 n1_i (/.f32 u n0_i)))) (neg.f32 n0_i))
(*.f32 (+.f32 u (fma.f32 (neg.f32 n1_i) (/.f32 u n0_i) #s(literal -1 binary32))) (neg.f32 n0_i))
n0_i
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (neg.f32 u)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u)))
(fma.f32 n0_i (+.f32 #s(literal 1 binary32) (neg.f32 u)) (*.f32 n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u)))
(fma.f32 n0_i (+.f32 #s(literal 1 binary32) (neg.f32 u)) (*.f32 n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u)))
(fma.f32 n0_i (+.f32 #s(literal 1 binary32) (neg.f32 u)) (*.f32 n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i u)
(*.f32 n1_i (+.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 u n0_i) n1_i) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (-.f32 (/.f32 n0_i n1_i) (*.f32 u (/.f32 n0_i n1_i)))))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(*.f32 n1_i (+.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 u n0_i) n1_i) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (-.f32 (/.f32 n0_i n1_i) (*.f32 u (/.f32 n0_i n1_i)))))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(*.f32 n1_i (+.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 u n0_i) n1_i) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (-.f32 (/.f32 n0_i n1_i) (*.f32 u (/.f32 n0_i n1_i)))))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(*.f32 n1_i u)
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))
(*.f32 n1_i (+.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 u n0_i) n1_i) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (-.f32 (/.f32 n0_i n1_i) (*.f32 u (/.f32 n0_i n1_i)))))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))
(*.f32 n1_i (+.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 u n0_i) n1_i) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (-.f32 (/.f32 n0_i n1_i) (*.f32 u (/.f32 n0_i n1_i)))))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))
(*.f32 n1_i (+.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 u n0_i) n1_i) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (-.f32 (/.f32 n0_i n1_i) (*.f32 u (/.f32 n0_i n1_i)))))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
n0_i
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 n0_i (+.f32 #s(literal 1 binary32) (neg.f32 u)) (*.f32 n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 n0_i (+.f32 #s(literal 1 binary32) (neg.f32 u)) (*.f32 n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 n0_i (+.f32 #s(literal 1 binary32) (neg.f32 u)) (*.f32 n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (neg.f32 u)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u)))
(fma.f32 n0_i (+.f32 #s(literal 1 binary32) (neg.f32 u)) (*.f32 n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u)))
(fma.f32 n0_i (+.f32 #s(literal 1 binary32) (neg.f32 u)) (*.f32 n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u)))
(fma.f32 n0_i (+.f32 #s(literal 1 binary32) (neg.f32 u)) (*.f32 n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i u)
(*.f32 n1_i (+.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 u n0_i) n1_i) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (-.f32 (/.f32 n0_i n1_i) (*.f32 u (/.f32 n0_i n1_i)))))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(*.f32 n1_i (+.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 u n0_i) n1_i) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (-.f32 (/.f32 n0_i n1_i) (*.f32 u (/.f32 n0_i n1_i)))))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(*.f32 n1_i (+.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 u n0_i) n1_i) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 u (-.f32 (/.f32 n0_i n1_i) (*.f32 u (/.f32 n0_i n1_i)))))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(*.f32 n1_i u)
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))
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(cbrt.f32 (/.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(expm1.f32 (log1p.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(expm1.f32 (log1p.f32 (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(exp.f32 (log.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) #s(literal 1 binary32)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 1 binary32))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 n1_i) #s(literal 2 binary32)) (*.f32 (cbrt.f32 n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sqrt.f32 (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 (sin.f32 (*.f32 normAngle u)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))) (sqrt.f32 (sin.f32 normAngle)))
(*.f32 n1_i (*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sqrt.f32 (sin.f32 normAngle))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))))
(*.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (/.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (*.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (sqrt.f32 n1_i) (*.f32 (sqrt.f32 n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (neg.f32 n1_i)) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i)
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 n1_i (sqrt.f32 (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 normAngle u)) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i (sqrt.f32 (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 1 binary32)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 n1_i (cbrt.f32 (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(*.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (/.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 n1_i (*.f32 (sin.f32 (*.f32 normAngle u)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 (sin.f32 (*.f32 normAngle u)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32))))) (cbrt.f32 (sin.f32 normAngle)))
(*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 1 binary32))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 3 binary32))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(pow.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(pow.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(neg.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (neg.f32 (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (neg.f32 n1_i)) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(log.f32 (pow.f32 (exp.f32 n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(expm1.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(exp.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 1 binary32)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))))
(pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(pow.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 3 binary32))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(pow.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(pow.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(sqrt.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 normAngle u))) n1_i))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(cbrt.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(cbrt.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32))))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(expm1.f32 (log1p.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(exp.f32 (log.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 1 binary32)))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))

eval81.0ms (0.6%)

Compiler

Compiled 16679 to 3086 computations (81.5% saved)

prune192.0ms (1.4%)

Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New81111822
Fresh11415
Picked325
Done022
Total81529844
Accuracy
100.0%
Counts
844 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
69.1%
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (*.f32 u normAngle) n1_i)) (sin.f32 normAngle))
33.9%
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
34.0%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
40.6%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
98.2%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
43.5%
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
98.8%
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u n1_i) #s(literal 1/6 binary32)))))
98.9%
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
98.3%
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 n0_i #s(literal 1/3 binary32))))))
84.5%
(+.f32 n0_i (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
97.9%
(+.f32 n0_i (*.f32 (-.f32 u (*.f32 u (/.f32 n1_i n0_i))) (neg.f32 n0_i)))
55.8%
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
84.5%
(+.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle)))) (sin.f32 normAngle))))
75.6%
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
98.9%
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
92.7%
(+.f32 n0_i (*.f32 u (-.f32 n1_i (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
98.2%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
83.9%
(+.f32 n0_i (*.f32 u n1_i))
68.8%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
97.8%
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
42.7%
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))))
43.4%
(*.f32 n1_i (/.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))
98.0%
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
42.0%
(*.f32 n1_i (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) normAngle)))
43.4%
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
42.9%
(*.f32 n1_i u)
55.7%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
45.2%
n0_i
Compiler

Compiled 1298 to 513 computations (60.5% saved)

regimes83.0ms (0.6%)

Counts
57 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 u n1_i))
(*.f32 n1_i (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) normAngle)))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(+.f32 n0_i (*.f32 (-.f32 u (*.f32 u (/.f32 n1_i n0_i))) (neg.f32 n0_i)))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 n0_i #s(literal 1/3 binary32))))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u n1_i) #s(literal 1/6 binary32)))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(+.f32 n0_i (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 n1_i (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(+.f32 n0_i (*.f32 u (-.f32 n1_i (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))))
(+.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle)))) (sin.f32 normAngle))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) n1_i))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (*.f32 u normAngle) n1_i)) (sin.f32 normAngle))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
(/.f32 (*.f32 n0_i (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) n0_i)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1/6 binary32))) normAngle) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (-.f32 n0_i (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) n1_i))
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i))
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
Outputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) n1_i))
Calls

5 calls:

16.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
16.0ms
u
15.0ms
n0_i
15.0ms
normAngle
15.0ms
n1_i
Results
AccuracySegmentsBranch
98.9%1normAngle
98.9%1u
98.9%1n0_i
98.9%1n1_i
98.9%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes78.0ms (0.6%)

Counts
53 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 u n1_i))
(*.f32 n1_i (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) normAngle)))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(+.f32 n0_i (*.f32 (-.f32 u (*.f32 u (/.f32 n1_i n0_i))) (neg.f32 n0_i)))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 n0_i #s(literal 1/3 binary32))))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u n1_i) #s(literal 1/6 binary32)))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(+.f32 n0_i (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 n1_i (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(+.f32 n0_i (*.f32 u (-.f32 n1_i (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))))
(+.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle)))) (sin.f32 normAngle))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) n1_i))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (*.f32 u normAngle) n1_i)) (sin.f32 normAngle))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
(/.f32 (*.f32 n0_i (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) n0_i)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1/6 binary32))) normAngle) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (-.f32 n0_i (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Outputs
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
Calls

5 calls:

16.0ms
n0_i
15.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
15.0ms
u
14.0ms
n1_i
14.0ms
normAngle
Results
AccuracySegmentsBranch
98.9%1normAngle
98.9%1u
98.9%1n0_i
98.9%1n1_i
98.9%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes23.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 u n1_i))
(*.f32 n1_i (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) normAngle)))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(+.f32 n0_i (*.f32 (-.f32 u (*.f32 u (/.f32 n1_i n0_i))) (neg.f32 n0_i)))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 n0_i #s(literal 1/3 binary32))))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u n1_i) #s(literal 1/6 binary32)))))
Outputs
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u n1_i) #s(literal 1/6 binary32)))))
Calls

4 calls:

7.0ms
normAngle
5.0ms
n1_i
5.0ms
u
5.0ms
n0_i
Results
AccuracySegmentsBranch
98.8%1u
98.8%1normAngle
98.8%1n0_i
98.8%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes21.0ms (0.1%)

Counts
14 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 u n1_i))
(*.f32 n1_i (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) normAngle)))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(+.f32 n0_i (*.f32 (-.f32 u (*.f32 u (/.f32 n1_i n0_i))) (neg.f32 n0_i)))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 n0_i #s(literal 1/3 binary32))))))
Outputs
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 n0_i #s(literal 1/3 binary32))))))
Calls

4 calls:

5.0ms
n1_i
5.0ms
normAngle
5.0ms
n0_i
4.0ms
u
Results
AccuracySegmentsBranch
98.3%1normAngle
98.3%1u
98.3%1n0_i
98.3%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes19.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 u n1_i))
(*.f32 n1_i (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) normAngle)))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(+.f32 n0_i (*.f32 (-.f32 u (*.f32 u (/.f32 n1_i n0_i))) (neg.f32 n0_i)))
Outputs
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
Calls

4 calls:

5.0ms
u
5.0ms
normAngle
4.0ms
n1_i
4.0ms
n0_i
Results
AccuracySegmentsBranch
98.2%1normAngle
98.2%1u
98.2%1n0_i
98.2%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes17.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 u n1_i))
(*.f32 n1_i (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) normAngle)))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
Outputs
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
Calls

4 calls:

6.0ms
n1_i
3.0ms
u
3.0ms
n0_i
3.0ms
normAngle
Results
AccuracySegmentsBranch
98.2%1normAngle
98.2%1n0_i
98.2%1u
98.2%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes11.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
Outputs
(+.f32 n0_i (*.f32 u n1_i))
Calls

4 calls:

3.0ms
n1_i
2.0ms
normAngle
2.0ms
u
2.0ms
n0_i
Results
AccuracySegmentsBranch
83.9%1normAngle
83.9%1u
83.9%1n0_i
83.9%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes9.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
Outputs
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
Calls

4 calls:

3.0ms
n0_i
2.0ms
normAngle
2.0ms
n1_i
2.0ms
u
Results
AccuracySegmentsBranch
74.2%3n1_i
61.8%2u
74.6%3n0_i
55.7%1normAngle
Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Counts
2 → 3
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
Outputs
(*.f32 n1_i u)
n0_i
(*.f32 n1_i u)
Calls

2 calls:

2.0ms
n0_i
1.0ms
n1_i
Results
AccuracySegmentsBranch
65.2%3n1_i
65.1%3n0_i
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
n0_i
Outputs
n0_i
Calls

4 calls:

2.0ms
n0_i
1.0ms
normAngle
1.0ms
n1_i
1.0ms
u
Results
AccuracySegmentsBranch
45.2%1normAngle
45.2%1u
45.2%1n0_i
45.2%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
6.889848264587633e-28
3.740835805270381e-27
0.0ms
-2.3720522827493853e-24
-1.4020169474774978e-24
Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
5.22552310455845e-24
8.659422397641484e-24
0.0ms
-1.453921254291929e-15
-1.448449103815311e-15
Compiler

Compiled 36 to 23 computations (36.1% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
44×*-commutative
40×+-commutative
18×sub-neg
10×neg-sub0
10×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073553
1127553
2145553
3155553
4161553
5162553
Stop Event
saturated
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) n1_i))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u n1_i) #s(literal 1/6 binary32)))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 n0_i #s(literal 1/3 binary32))))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 n0_i (*.f32 u n1_i))
(if (<=.f32 n0_i #s(literal -10141205/5070602400912917605986812821504 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 5192297/5192296858534827628530496329220096 binary32)) (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(if (<=.f32 n1_i #s(literal -13694863/9444732965739290427392 binary32)) (*.f32 n1_i u) (if (<=.f32 n1_i #s(literal 15211807/2535301200456458802993406410752 binary32)) n0_i (*.f32 n1_i u)))
n0_i
Outputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) n1_i))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal -1/6 binary32) n1_i))))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u n1_i) #s(literal 1/6 binary32)))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i)))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 n0_i #s(literal 1/3 binary32))))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 n0_i (*.f32 u n1_i))
(if (<=.f32 n0_i #s(literal -10141205/5070602400912917605986812821504 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 5192297/5192296858534827628530496329220096 binary32)) (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(if (or (<=.f32 n0_i #s(literal -10141205/5070602400912917605986812821504 binary32)) (not (<=.f32 n0_i #s(literal 5192297/5192296858534827628530496329220096 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
(if (<=.f32 n1_i #s(literal -13694863/9444732965739290427392 binary32)) (*.f32 n1_i u) (if (<=.f32 n1_i #s(literal 15211807/2535301200456458802993406410752 binary32)) n0_i (*.f32 n1_i u)))
(if (or (<=.f32 n1_i #s(literal -13694863/9444732965739290427392 binary32)) (not (<=.f32 n1_i #s(literal 15211807/2535301200456458802993406410752 binary32)))) (*.f32 u n1_i) n0_i)
n0_i

soundness1.3s (9.3%)

Rules
1142×fma-define
994×distribute-lft-in
966×*-commutative
878×associate-*r*
836×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113125087
1297623033
040470
1667454
057416528
1150215640
2534015488
01634117043
14302112125
Stop Event
fuel
node limit
node limit
node limit
node limit
Compiler

Compiled 547 to 229 computations (58.1% saved)

preprocess52.0ms (0.4%)

Remove

(abs normAngle)

Compiler

Compiled 734 to 434 computations (40.9% saved)

end0.0ms (0%)

Profiling

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