Curve intersection, scale width based on ribbon orientation

Time bar (total: 16.1s)

analyze515.0ms (3.2%)

Algorithm
1×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: 349.0ms
ival-sin: 114.0ms (32.6% of total)
ival-mult: 72.0ms (20.6% of total)
ival-<=: 57.0ms (16.3% of total)
...c/correct-round.rkt:121:19: 41.0ms (11.7% of total)
ival-div: 23.0ms (6.6% of total)
ival-sub: 12.0ms (3.4% of total)
ival-pi: 10.0ms (2.9% of total)
ival-and: 10.0ms (2.9% of total)
ival-add: 7.0ms (2% of total)
const: 3.0ms (0.9% of total)
backward-pass: 1.0ms (0.3% of total)

sample4.3s (26.4%)

Results
2.1s8256×0valid
1.0s2062×0precondition
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-<=: 616.0ms (23.8% of total)
ival-mult: 465.0ms (18% of total)
ival-sin: 434.0ms (16.8% of total)
...c/correct-round.rkt:121:19: 283.0ms (10.9% of total)
ival-div: 277.0ms (10.7% of total)
ival-sub: 192.0ms (7.4% of total)
ival-add: 113.0ms (4.4% of total)
ival-pi: 108.0ms (4.2% of total)
ival-and: 74.0ms (2.9% of total)
const: 24.0ms (0.9% of total)
backward-pass: 3.0ms (0.1% of total)
Bogosity

preprocess185.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1510×fma-neg
1090×fma-define
1012×times-frac
940×unsub-neg
632×distribute-lft-neg-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01151608
13041396
28281320
324121170
445951170
577891170
Stop Event
1×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 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (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 (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 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (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 (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 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (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 (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)))
(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)) (neg.f32 n0_i)) (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 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))))) (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))))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.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 (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 (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32))))))) (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)) (sin.f32 normAngle)) n1_i)))
(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 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 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)) (sin.f32 normAngle)) n1_i) (*.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))))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.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 (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 (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32))))))) (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)))
(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)) (neg.f32 n0_i)) (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 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))))) (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 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (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 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (*.f32 normAngle (sin.f32 (*.f32 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)

explain412.0ms (2.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
200-18(1.1166946116957941e-36 7.262335177671275e-9 -2.055806193544818e-19 -5.378331483196481e-37)(*.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
259.0ms506×0valid
2.0ms6×1valid
Compiler

Compiled 241 to 53 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-sub: 78.0ms (57.4% of total)
ival-mult: 31.0ms (22.8% of total)
ival-sin: 14.0ms (10.3% of total)
ival-div: 8.0ms (5.9% of total)
ival-add: 3.0ms (2.2% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 85 to 26 computations (69.4% saved)

prune6.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.6%
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
▶97.2%
(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)))
▶77.8%
(/.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))
▶97.2%
(+.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))
▶77.6%
(*.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)

simplify162.0ms (1%)

Algorithm
1×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-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))
✓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-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓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)) (sin.f32 normAngle))
✓cost-diff3264
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
Rules
2190×fma-define
664×fma-neg
492×times-frac
300×distribute-lft-in
286×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0391563
1821486
21451486
32131486
42641486
53071486
63761486
74791486
87311486
98441486
1010331486
1116011486
1227411486
1337401486
1437831486
1537881486
1637881486
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(/.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
(sin.f32 normAngle)
n0_i
(*.f32 (/.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)
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)
(+.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
(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
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.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)) (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
(sin.f32 normAngle)
n0_i
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 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)) (sin.f32 normAngle)) n0_i (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.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)) (sin.f32 normAngle)) n0_i (/.f32 (*.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)
(+.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)) (sin.f32 normAngle)) n0_i (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.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 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (sin.f32 normAngle))
(*.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 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(*.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 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.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)))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.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 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(*.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 (*.f32 #s(literal 1 binary32) n1_i) (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
n1_i

localize606.0ms (3.8%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy99.2%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
✓accuracy98.5%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy96.2%
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 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)
✓accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy98.5%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy95.3%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy99.7%
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
✓accuracy99.6%
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
✓accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy78.1%
(/.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 u normAngle)) n1_i)
✓accuracy99.6%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
✓accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy77.8%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
✓accuracy99.6%
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
✓accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy99.2%
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
✓accuracy95.7%
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
Results
431.0ms253×0valid
3.0ms3×1valid
Compiler

Compiled 409 to 31 computations (92.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 23.0ms (46.5% of total)
ival-fma: 8.0ms (16.2% of total)
ival-div: 7.0ms (14.2% of total)
ival-sin: 7.0ms (14.2% of total)
ival-add: 2.0ms (4% of total)
ival-sub: 2.0ms (4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series157.0ms (1%)

Counts
21 → 656
Calls
Call 1
Inputs
#<alt (fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))>
#<alt (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))>
#<alt (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))>
#<alt (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)>
#<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 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))>
#<alt (-.f32 #s(literal 1 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 (*.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 (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)) (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 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 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 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.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 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.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 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.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) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.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) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.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 normAngle u) (sin.f32 normAngle))>
#<alt (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))))) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (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 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle))))))) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt u>
#<alt (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))))>
#<alt (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))) (*.f32 #s(literal 1/120 binary32) u))))) (*.f32 #s(literal -1/6 binary32) u))))>
#<alt (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))) (*.f32 #s(literal 1/120 binary32) u)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) u) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))) (*.f32 #s(literal 1/120 binary32) u))))) (*.f32 #s(literal -1/6 binary32) u))))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
Calls

168 calls:

TimeVariablePointExpression
40.0ms
normAngle
@-inf
(+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i))
5.0ms
normAngle
@0
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* u normAngle)) (* (/ 1 (sin normAngle)) n1_i)))
4.0ms
n1_i
@0
(* (/ 1 (sin normAngle)) (+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)))
4.0ms
n1_i
@0
(+ (* (/ (sin (* (- 1 u) normAngle)) (sin normAngle)) n0_i) (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i))
3.0ms
normAngle
@0
(+ (* (/ (sin (* (- 1 u) normAngle)) (sin normAngle)) n0_i) (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i))

rewrite678.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
530×associate-*r*
457×log1p-expm1-u
346×associate-*l*
235×expm1-log1p-u
230×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039888
1653823
27582823
Stop Event
1×node limit
Counts
21 → 811
Calls
Call 1
Inputs
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(/.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) (sin.f32 normAngle))
(sin.f32 normAngle)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(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) 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 (*.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)
(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)) (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 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
Outputs
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.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 (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)) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.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)) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.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 (cbrt.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 (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 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_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) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.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))) (cbrt.f32 (pow.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))) (cbrt.f32 (pow.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))))
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(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 3 binary32))
(pow.f32 (pow.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 3 binary32)) #s(literal 1/3 binary32))
(pow.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))) #s(literal 2 binary32))
(pow.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))
(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)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.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))) (sin.f32 normAngle)))
(sqrt.f32 (pow.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)))
(log.f32 (exp.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))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.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)))))
(cbrt.f32 (pow.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 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32)) (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 3 binary32))))
(cbrt.f32 (*.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 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.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 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.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))))
(log1p.f32 (expm1.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))))
(exp.f32 (log.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))))
(exp.f32 (*.f32 (log.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)))
(fma.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.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))))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.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))))
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.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))))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.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 (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 normAngle) (sin.f32 (*.f32 u normAngle))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 u normAngle)))) (neg.f32 (neg.f32 (sin.f32 normAngle))))
(/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(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 (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 (/.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 (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)))

simplify1.1s (6.9%)

Algorithm
1×egg-herbie
Rules
926×distribute-rgt-in
920×distribute-lft-in
878×*-commutative
458×+-commutative
438×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01516111430
13962106687
Stop Event
1×node limit
Counts
1467 → 812
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)))))))
(+.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 (*.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 (*.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 #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 -1/6 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 n0_i (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.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 #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 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)))))))
(+.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)))
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#s(literal 1 binary32)
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(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(/.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)))
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(*.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))))))))))
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(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 normAngle))
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(+.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))))))))))))
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(+.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))))
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#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)))))
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(+.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)))
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n0_i
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#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))
(+.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))
(/.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) u))) (sin.f32 normAngle))
(/.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))
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)))))))
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n0_i
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n0_i
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u
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(-.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 normAngle) (sin.f32 (*.f32 u normAngle))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 u normAngle)))) (neg.f32 (neg.f32 (sin.f32 normAngle))))
(/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(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 (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 (/.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 (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)))
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 (*.f32 normAngle n1_i) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (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 (*.f32 normAngle n1_i) (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 (*.f32 normAngle n1_i) (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 #s(literal 1/6 binary32) (*.f32 n0_i (/.f32 (*.f32 (cos.f32 normAngle) (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))))))) (/.f32 (*.f32 normAngle n1_i) (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 #s(literal 1/6 binary32) (*.f32 n0_i (/.f32 (*.f32 (cos.f32 normAngle) (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))))))) (/.f32 (*.f32 normAngle n1_i) (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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u 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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u 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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u 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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (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)))))))
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(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)))))))
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(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (-.f32 (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle))))) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)))))
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(*.f32 (*.f32 n0_i 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 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n0_i (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 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) 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))) (*.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 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) 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))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.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 (*.f32 #s(literal 1/120 binary32) 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 normAngle))
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(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (*.f32 normAngle n1_i))))
(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)))))
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(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u (sin.f32 normAngle))) (*.f32 normAngle n1_i)))))
(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u (sin.f32 normAngle))) (*.f32 normAngle n1_i)) (*.f32 (*.f32 n0_i normAngle) (cos.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 (*.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))))))))))))
(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (fma.f32 n1_i normAngle (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (cos.f32 normAngle) (pow.f32 normAngle #s(literal 3 binary32))))))))))))
(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (-.f32 (fma.f32 n1_i normAngle (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (cos.f32 normAngle) (pow.f32 normAngle #s(literal 3 binary32))))))))) (*.f32 (*.f32 n0_i normAngle) (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))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
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(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(+.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))))
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(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(+.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))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(+.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))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(*.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))))
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(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
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(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
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(*.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)))))
(*.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))))
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(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
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(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
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(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
(*.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)))))
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(*.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)))))
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(*.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 (neg.f32 n1_i) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n1_i) (sin.f32 (*.f32 u normAngle)))))
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#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(*.f32 #s(literal -1 binary32) u)
(neg.f32 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 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)
(neg.f32 u)
(*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))))
(*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)) (neg.f32 u))
(*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))))
(*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)) (neg.f32 u))
(*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))))
(*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)) (neg.f32 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 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (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 (*.f32 normAngle n1_i) (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 (*.f32 normAngle n1_i) (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 #s(literal 1/6 binary32) (*.f32 n0_i (/.f32 (*.f32 (cos.f32 normAngle) (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))))))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))))
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(+.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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u 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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u 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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u 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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (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)))))))
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n0_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 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (cbrt.f32 (pow.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 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.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))))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.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))))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 u normAngle)))) (neg.f32 (neg.f32 (sin.f32 normAngle))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 normAngle))))
(/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32))
(/.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 (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 (/.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 (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))

eval204.0ms (1.3%)

Compiler

Compiled 51788 to 5495 computations (89.4% saved)

prune555.0ms (3.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New1692181710
Fresh000
Picked505
Done000
Total1697181715
Accuracy
100.0%
Counts
1715 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
97.4%
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
95.3%
(fma.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (/.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)))
95.2%
(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 n1_i normAngle)))
97.5%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
77.8%
(/.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))
76.0%
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
49.1%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
▶97.2%
(+.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))
97.1%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.4%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
89.3%
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
▶36.4%
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
▶77.7%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
77.3%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 n1_i (*.f32 u normAngle))))
97.3%
(*.f32 (-.f32 (*.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (neg.f32 n0_i))
59.4%
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
▶46.8%
n0_i
Compiler

Compiled 710 to 464 computations (34.6% saved)

simplify317.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
✓cost-diff32
(+.f32 normAngle (*.f32 (neg.f32 u) normAngle))
✓cost-diff32
(sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle)))
✓cost-diff32
(*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i)
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
(sin.f32 (*.f32 u normAngle))
cost-diff0
(sin.f32 normAngle)
✓cost-diff0
(/.f32 n1_i (sin.f32 normAngle))
✓cost-diff0
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
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)) (sin.f32 normAngle))
✓cost-diff3264
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
Rules
2720×fma-define
1946×fma-neg
1050×associate-*r/
918×times-frac
620×distribute-lft-in
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
040981
189951
2193951
3322951
4460951
5630948
61086938
71482938
82226938
93652938
106519938
117020938
127085938
137143938
147151938
157151938
167195938
177623938
187633938
197633938
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(/.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
(sin.f32 normAngle)
n0_i
(*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i)
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 u (sin.f32 normAngle))
n1_i
n0_i
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
normAngle
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
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 (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 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 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 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i)
(sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle)))
(+.f32 normAngle (*.f32 (neg.f32 u) normAngle))
(*.f32 (neg.f32 u) normAngle)
(neg.f32 u)
u
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
Outputs
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (*.f32 u n1_i) (/.f32 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 u (*.f32 normAngle n1_i))))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 u (*.f32 normAngle n1_i))) (sin.f32 normAngle))
(/.f32 (fma.f32 u (*.f32 normAngle n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (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
(sin.f32 normAngle)
n0_i
(*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i)
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 u (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(*.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 normAngle n1_i))
(*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (sin.f32 normAngle))
n1_i
n0_i
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
normAngle
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
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))
(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 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))
(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 n0_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 n0_i (/.f32 (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 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 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) normAngle)) n0_i (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
normAngle
(+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(fma.f32 (sin.f32 (*.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) normAngle)) n0_i (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i)
(*.f32 n0_i (sin.f32 (*.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) normAngle)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(+.f32 normAngle (*.f32 (neg.f32 u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (neg.f32 u) normAngle)
(*.f32 normAngle (neg.f32 u))
(*.f32 u (neg.f32 normAngle))
(neg.f32 u)
u
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i

localize166.0ms (1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
accuracy99.7%
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
✓accuracy99.6%
(*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i)
✓accuracy77.8%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 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)
✓accuracy99.7%
(+.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))
accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy98.5%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy100.0%
(sin.f32 (*.f32 u normAngle))
accuracy100.0%
(sin.f32 normAngle)
✓accuracy100.0%
(/.f32 n1_i (sin.f32 normAngle))
✓accuracy96.2%
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
✓accuracy99.6%
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy99.5%
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
accuracy99.2%
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
Results
112.0ms253×0valid
2.0ms3×1valid
Compiler

Compiled 256 to 32 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 20.0ms (36.1% of total)
ival-div: 16.0ms (28.9% of total)
ival-sin: 9.0ms (16.2% of total)
ival-add: 4.0ms (7.2% of total)
ival-fma: 3.0ms (5.4% of total)
ival-sub: 2.0ms (3.6% of total)
ival-neg: 1.0ms (1.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series68.0ms (0.4%)

Counts
11 → 364
Calls
Call 1
Inputs
#<alt (fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))>
#<alt (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))>
#<alt (/.f32 n1_i (sin.f32 normAngle))>
#<alt (sin.f32 (*.f32 u normAngle))>
#<alt (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i)>
#<alt (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle)))>
#<alt (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))>
#<alt (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))>
#<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 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))>
#<alt (+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))>
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 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 u (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.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)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.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)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.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)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (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 (*.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 (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 (*.f32 #s(literal -1/36 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)))))))>
#<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 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n1_i u)) (+.f32 (*.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 #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 -1/6 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 -1/36 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)))))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))>
#<alt (*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))>
#<alt (*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))>
#<alt (/.f32 (*.f32 n1_i (*.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 (*.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 (*.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 (*.f32 normAngle 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 (*.f32 normAngle u)) (*.f32 n0_i (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 (*.f32 normAngle u)) (*.f32 n0_i (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 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))>
#<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 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))>
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#<alt (+.f32 (*.f32 n0_i (sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (*.f32 n0_i (sin.f32 normAngle))>
#<alt (+.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))))>
#<alt (+.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)))))>
#<alt (+.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))))))))))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))))>
#<alt (*.f32 n0_i (+.f32 (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))>
#<alt (*.f32 n0_i (+.f32 (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))>
#<alt (*.f32 n0_i (+.f32 (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))>
#<alt (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))))>
#<alt (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))>
#<alt (*.f32 n1_i (+.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) n1_i)))>
#<alt (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))>
#<alt (*.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) (*.f32 normAngle u))))) n1_i)))))>
#<alt (*.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) (*.f32 normAngle u))))) n1_i)))))>
#<alt (*.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) (*.f32 normAngle u))))) n1_i)))))>
Calls

96 calls:

TimeVariablePointExpression
8.0ms
normAngle
@-inf
(+ (* (/ (sin (* (- 1 u) normAngle)) (sin normAngle)) n0_i) (* (* normAngle (/ u (sin normAngle))) n1_i))
2.0ms
u
@-inf
(* normAngle (/ u (sin normAngle)))
2.0ms
u
@inf
(+ (* (/ (sin (* (- 1 u) normAngle)) (sin normAngle)) n0_i) (* (* normAngle (/ u (sin normAngle))) n1_i))
2.0ms
normAngle
@0
(* (/ 1 (sin normAngle)) (+ (* (sin (+ normAngle (* (neg u) normAngle))) n0_i) (* (sin (* u normAngle)) n1_i)))
2.0ms
normAngle
@0
(+ (* (/ (sin (* (- 1 u) normAngle)) (sin normAngle)) n0_i) (* (* normAngle (/ u (sin normAngle))) n1_i))

rewrite190.0ms (1.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
040464
1699439
Stop Event
1×node limit
Counts
11 → 284
Calls
Call 1
Inputs
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i)
(sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle)))
(+.f32 normAngle (*.f32 (neg.f32 u) normAngle))
(*.f32 normAngle (/.f32 u (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 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
Outputs
(+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i) (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i)))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i)) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))))
(*.f32 (sqrt.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))) (sqrt.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))))
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i) (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i)))))
(pow.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i)))))
(cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))))
(log1p.f32 (expm1.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))))
(exp.f32 (log.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))))
(/.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 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 n1_i (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 n1_i (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 n1_i (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 n1_i (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 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))))
(exp.f32 (log.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))) #s(literal 1 binary32)))
(exp.f32 (+.f32 (log.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (neg.f32 (log.f32 (sin.f32 normAngle)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 n1_i (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 n1_i (sin.f32 normAngle))) (sqrt.f32 (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (neg.f32 n1_i) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 n1_i (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 n1_i #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 n1_i) (sin.f32 normAngle)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 n1_i #s(literal 2 binary32))) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 n1_i #s(literal 2 binary32))) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 n1_i) (sqrt.f32 (sin.f32 normAngle))))
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(*.f32 #s(literal 1 binary32) (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
(*.f32 (sqrt.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))) (sqrt.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
(*.f32 (+.f32 (pow.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))))
(*.f32 (-.f32 (pow.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))))) (+.f32 (pow.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (-.f32 (pow.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)))))))
(pow.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))))))
(cbrt.f32 (pow.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
(log1p.f32 (expm1.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
(exp.f32 (log.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 (sin.f32 (fma.f32 u normAngle normAngle)) n0_i (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)))) (sqrt.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))

simplify374.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
968×distribute-rgt-in
956×distribute-lft-in
802×times-frac
748×*-commutative
512×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0123743130
1378641876
Stop Event
1×node limit
Counts
648 → 639
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 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 u (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.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)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.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)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.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)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (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 #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 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 (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 (*.f32 #s(literal -1/36 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)))))))
(+.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 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n1_i u)) (+.f32 (*.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 #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 -1/6 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 -1/36 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)))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))
(/.f32 (*.f32 n1_i (*.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 (*.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 (*.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 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.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 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))
(*.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 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))
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(/.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 (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)
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(sin.f32 (*.f32 normAngle u))
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(*.f32 normAngle (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.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) (*.f32 #s(literal -1 binary32) u)) #s(literal 5 binary32)))))))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.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) (*.f32 #s(literal -1 binary32) u)) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)) #s(literal 5 binary32))))))))))
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
(sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))
(sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))
(sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))
(sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))
(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)))))))
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(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 u #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 u #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 u #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 u #s(literal 1 binary32))))
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)))))
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 (*.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))
n0_i
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))))))))
(*.f32 n1_i u)
(*.f32 u (+.f32 n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle)))))
(*.f32 u (+.f32 n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle)))))
(*.f32 u (+.f32 n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle)))))
(*.f32 n1_i u)
(*.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)))))))
(*.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)))))))
(*.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)))))))
(+.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 #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)))))))
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(+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
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(+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(*.f32 n1_i u)
(+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.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)))
(*.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)))
(*.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)))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.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)))))
(*.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)))))
(*.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)))))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(+.f32 (*.f32 n1_i u) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(*.f32 n1_i u)
(*.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)))))
(*.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)))))
(*.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)))))
(*.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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))))
(*.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)))))))
(*.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)))))))
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(pow.f32 (cbrt.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))))))
(cbrt.f32 (pow.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
(log1p.f32 (expm1.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
(exp.f32 (log.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 (sin.f32 (fma.f32 u normAngle normAngle)) n0_i (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)))) (sqrt.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
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 n0_i (/.f32 (*.f32 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 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))) (*.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 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (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 n0_i (/.f32 (*.f32 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 #s(literal 1/6 binary32) (*.f32 n0_i (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle))) (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 #s(literal 1/6 binary32) (*.f32 n0_i (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle))) (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 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle))
(*.f32 u (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle))))))
(*.f32 u (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle))))))
(*.f32 u (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.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)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(*.f32 (neg.f32 u) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle)))))))
(*.f32 u (neg.f32 (-.f32 (*.f32 (/.f32 n0_i u) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle)))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.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)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(*.f32 (neg.f32 u) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle)))))))
(*.f32 u (neg.f32 (-.f32 (*.f32 (/.f32 n0_i u) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle)))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.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)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(*.f32 (neg.f32 u) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle)))))))
(*.f32 u (neg.f32 (-.f32 (*.f32 (/.f32 n0_i u) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle)))) (*.f32 n1_i (/.f32 normAngle (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 #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 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 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) 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)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.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 (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 (*.f32 #s(literal -1/36 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))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) 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 -1/36 binary32) (*.f32 u n1_i) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))) (*.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 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 u (*.f32 n1_i #s(literal -7/360 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))))
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(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))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.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)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) 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)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) (fma.f32 #s(literal 1/720 binary32) (*.f32 u n1_i) (fma.f32 #s(literal 1/120 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)))) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 u n1_i) #s(literal -7/360 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 -1/36 binary32) (*.f32 u n1_i) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))
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(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
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(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 normAngle)
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(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
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(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
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(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
normAngle
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
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u
(+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))
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(*.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1 binary32)) u)
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(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
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(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
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(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
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(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
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(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
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(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
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(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
n0_i
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (+.f32 (/.f32 (neg.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n1_i)))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(*.f32 normAngle (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.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) (*.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) (*.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) (*.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) (*.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) (*.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) (*.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) (*.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) (*.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) (*.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)))))))))))))))
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(expm1.f32 (log1p.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
(log1p.f32 (expm1.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
(fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(exp.f32 (log.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
(fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))) #s(literal 1 binary32)))
(fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 n1_i (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 n1_i (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 (sin.f32 (fma.f32 u normAngle normAngle)) n0_i (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sqrt.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 n1_i (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)))) (sqrt.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))

eval220.0ms (1.4%)

Compiler

Compiled 34463 to 4852 computations (85.9% saved)

prune257.0ms (1.6%)

Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New1213131226
Fresh5813
Picked325
Done000
Total1221231244
Accuracy
100.0%
Counts
1244 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
97.5%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
81.7%
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
77.8%
(/.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))
▶76.0%
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
▶49.2%
(/.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (sin.f32 normAngle))
49.1%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
97.1%
(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (*.f32 u n1_i))
▶97.1%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.4%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))
89.3%
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
94.4%
(+.f32 n0_i (*.f32 u (-.f32 n1_i (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
36.1%
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle))
✓36.4%
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
77.3%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
77.3%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 n1_i (*.f32 u normAngle))))
75.7%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 normAngle (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))))
94.2%
(*.f32 u (+.f32 n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle))))))
▶36.4%
(*.f32 u n1_i)
36.3%
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
97.2%
(*.f32 n1_i (+.f32 u (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
59.4%
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
✓46.8%
n0_i
Compiler

Compiled 756 to 507 computations (32.9% saved)

simplify170.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 #s(literal 1 binary32) u)
✓cost-diff0
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
cost-diff64
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.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 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
✓cost-diff64
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
✓cost-diff64
(*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))))
✓cost-diff64
(/.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (sin.f32 normAngle))
cost-diff0
(sin.f32 normAngle)
✓cost-diff0
(*.f32 n1_i u)
cost-diff0
(-.f32 #s(literal 1 binary32) u)
✓cost-diff0
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓cost-diff0
(*.f32 u n1_i)
✓cost-diff0
(/.f32 u (sin.f32 normAngle))
cost-diff0
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
✓cost-diff0
(*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i)
cost-diff0
(-.f32 #s(literal 1 binary32) u)
Rules
1904×fma-define
986×unsub-neg
844×times-frac
812×div-sub
736×sub-neg
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
039828
182794
2165782
3322782
4644770
51443758
62992758
74377758
86028758
97168758
107763758
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i)
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
normAngle
(/.f32 u (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i
(*.f32 u n1_i)
u
n1_i
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
normAngle
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(*.f32 n1_i u)
n1_i
(sin.f32 normAngle)
(/.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (sin.f32 normAngle))
(*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))))
n0_i
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
normAngle
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u))
#s(literal -1 binary32)
(*.f32 normAngle u)
u
(sin.f32 normAngle)
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(*.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)
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i
Outputs
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 normAngle n1_i)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)))
(fma.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(fma.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i)
(*.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 normAngle n1_i))
(*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i))
(*.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 normAngle (*.f32 u n1_i)) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
normAngle
(/.f32 u (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i
(*.f32 u n1_i)
u
n1_i
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) (sin.f32 normAngle))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (fma.f32 u n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (fma.f32 u (fma.f32 n0_i #s(literal -1 binary32) n1_i) n0_i) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) (sin.f32 normAngle)))
(*.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 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))
(*.f32 normAngle (fma.f32 u n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
(*.f32 normAngle (fma.f32 u (fma.f32 n0_i #s(literal -1 binary32) n1_i) n0_i))
(*.f32 normAngle (fma.f32 u (-.f32 n1_i n0_i) n0_i))
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))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(fma.f32 u (fma.f32 n0_i #s(literal -1 binary32) n1_i) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(*.f32 n1_i u)
(*.f32 u n1_i)
n1_i
(sin.f32 normAngle)
(/.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (neg.f32 (*.f32 u normAngle))))) (sin.f32 normAngle))
(*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))))
(*.f32 n0_i (sin.f32 (+.f32 normAngle (neg.f32 (*.f32 u normAngle)))))
(*.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
n0_i
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
(sin.f32 (+.f32 normAngle (neg.f32 (*.f32 u normAngle))))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(+.f32 normAngle (neg.f32 (*.f32 u normAngle)))
(-.f32 normAngle (*.f32 u normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
normAngle
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u))
(neg.f32 (*.f32 u normAngle))
(*.f32 u (neg.f32 normAngle))
#s(literal -1 binary32)
(*.f32 normAngle u)
(*.f32 u normAngle)
u
(sin.f32 normAngle)
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(*.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 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i

localize140.0ms (0.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓accuracy99.7%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓accuracy99.7%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
accuracy95.3%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy99.9%
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
✓accuracy99.9%
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
✓accuracy99.6%
(*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))))
✓accuracy68.8%
(/.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (sin.f32 normAngle))
✓accuracy99.7%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
✓accuracy99.7%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓accuracy99.5%
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
✓accuracy78.1%
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
✓accuracy100.0%
(*.f32 u n1_i)
✓accuracy99.9%
(/.f32 u (sin.f32 normAngle))
✓accuracy99.9%
(*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i)
✓accuracy99.7%
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
accuracy99.5%
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
Results
93.0ms256×0valid
Compiler

Compiled 218 to 31 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 21.0ms (44.2% of total)
ival-sin: 8.0ms (16.8% of total)
ival-div: 7.0ms (14.7% of total)
ival-sub: 4.0ms (8.4% of total)
ival-add: 4.0ms (8.4% of total)
ival-fma: 3.0ms (6.3% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series60.0ms (0.4%)

Counts
14 → 335
Calls
Call 1
Inputs
#<alt (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i)>
#<alt (/.f32 u (sin.f32 normAngle))>
#<alt (*.f32 u n1_i)>
#<alt (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))>
#<alt (*.f32 n1_i u)>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (sin.f32 normAngle))>
#<alt (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))))>
#<alt (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))>
#<alt (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))>
#<alt (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))>
#<alt (/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))>
#<alt (*.f32 normAngle (+.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 n1_i u))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))>
Outputs
#<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 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 u normAngle)>
#<alt (/.f32 (+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) normAngle)>
#<alt (/.f32 (+.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)))) normAngle)>
#<alt (/.f32 (+.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)))) normAngle)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt n0_i>
#<alt (+.f32 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 #s(literal -1 binary32) (*.f32 n0_i u)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))>
#<alt (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 n0_i u)))>
#<alt (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 n0_i u)))>
#<alt (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 n0_i u)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))>
#<alt (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.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) (*.f32 #s(literal -1 binary32) u)) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))))>
#<alt (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) 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) (*.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) (*.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) (*.f32 #s(literal -1 binary32) u)) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))))>
#<alt (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) 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) (*.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) (*.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) (*.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) (*.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) (*.f32 #s(literal -1 binary32) u)) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.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) (*.f32 #s(literal -1 binary32) u)) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.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) (*.f32 #s(literal -1 binary32) u)) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))) (sin.f32 normAngle))>
#<alt n0_i>
#<alt (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 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 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))))))>
#<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 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))))))>
#<alt (*.f32 n0_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))>
#<alt (*.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) (*.f32 #s(literal -1 binary32) u)) #s(literal 3 binary32))))) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))>
#<alt (*.f32 normAngle (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.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) (*.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) (*.f32 #s(literal -1 binary32) u)) #s(literal 5 binary32)))))))))>
#<alt (*.f32 normAngle (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.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) (*.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) (*.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) (*.f32 #s(literal -1 binary32) u)) #s(literal 5 binary32))))))))))>
#<alt (*.f32 n0_i (sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle))))>
#<alt (*.f32 n0_i (sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle))))>
#<alt (*.f32 n0_i (sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle))))>
#<alt (*.f32 n0_i (sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle))))>
#<alt (*.f32 n0_i (sin.f32 normAngle))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle))))) (*.f32 n0_i (sin.f32 normAngle)))>
#<alt (+.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))))))))>
#<alt (+.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))))))))))>
#<alt (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))>
#<alt (*.f32 normAngle (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)) #s(literal 3 binary32)))))))>
#<alt (*.f32 normAngle (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.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) (*.f32 #s(literal -1 binary32) u)) #s(literal 5 binary32)))))))))>
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#<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 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.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 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 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 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 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.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 (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
Calls

120 calls:

TimeVariablePointExpression
2.0ms
n1_i
@inf
(+ (* (- 1 u) n0_i) (* (* normAngle (/ u (sin normAngle))) n1_i))
2.0ms
u
@-inf
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u)))
1.0ms
normAngle
@0
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
1.0ms
normAngle
@0
(/ (* normAngle (+ (* n0_i (- 1 u)) (* n1_i u))) (sin normAngle))
1.0ms
normAngle
@-inf
(/ (* normAngle (+ (* n0_i (- 1 u)) (* n1_i u))) (sin normAngle))

rewrite158.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
644×associate-*r*
288×log1p-expm1-u
288×expm1-log1p-u
286×add-cube-cbrt
284×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039488
1658472
Stop Event
1×node limit
Counts
14 → 379
Calls
Call 1
Inputs
(*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i)
(/.f32 u (sin.f32 normAngle))
(*.f32 u n1_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 n1_i u)
(/.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (sin.f32 normAngle))
(*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))))
(sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
(*.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 n1_i u))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) (/.f32 u (sin.f32 normAngle))) n1_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 n1_i 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))))
(cbrt.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 u (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 u (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 u (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 u (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 u (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 u (sin.f32 normAngle))) (sqrt.f32 (/.f32 u (sin.f32 normAngle))))
(*.f32 (neg.f32 u) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 u #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 u (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 u) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 u (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 u) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 u) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 u) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 u) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 u (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 u (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(pow.f32 (/.f32 u (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 u (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) u) #s(literal -1 binary32))
(neg.f32 (/.f32 u (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 u) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (/.f32 u (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 u (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 u (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 u (sin.f32 normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 u (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 u (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 u (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 u (sin.f32 normAngle))) #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 n1_i) u))
(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)))
(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 n0_i (*.f32 (neg.f32 u) n0_i))
(+.f32 (*.f32 n0_i #s(literal 1 binary32)) (*.f32 n0_i (neg.f32 u)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32))
(pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(sqrt.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 n0_i) (-.f32 #s(literal 1 binary32) u)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(cbrt.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(log1p.f32 (expm1.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(exp.f32 (log.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(exp.f32 (*.f32 (log.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #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 n1_i) u))
(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)))
(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 n0_i (/.f32 (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle)) (sin.f32 normAngle))))) #s(literal 1 binary32))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle)) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle)) (sin.f32 normAngle))))
(*.f32 (*.f32 n0_i (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle)) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle)) (sin.f32 normAngle)))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle)) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle)) (sin.f32 normAngle)))))
(*.f32 (*.f32 n0_i (neg.f32 (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle)))) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (*.f32 n0_i (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 n0_i (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 n0_i #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle)) (sin.f32 normAngle)))
(*.f32 (/.f32 n0_i (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle)) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 n0_i (sqrt.f32 (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle)) #s(literal 1 binary32)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 normAngle) u normAngle)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 n0_i (cbrt.f32 (sin.f32 normAngle))))
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(cbrt.f32 (pow.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(log1p.f32 (expm1.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (log.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))
(fma.f32 #s(literal 1 binary32) (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u n1_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u n1_i)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 u n1_i))
(fma.f32 (sqrt.f32 (*.f32 u n1_i)) (sqrt.f32 (*.f32 u n1_i)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 u n1_i))
(-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(*.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.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))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))
(*.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (+.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) (-.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.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))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.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))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(/.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.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))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))
(/.f32 (neg.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))) (neg.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))
(pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(log.f32 (/.f32 (pow.f32 (exp.f32 n0_i) (-.f32 #s(literal 1 binary32) u)) (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)))
(cbrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.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 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(fma.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 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))

simplify308.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1040×distribute-lft-in
1020×distribute-rgt-in
768×*-commutative
582×distribute-rgt-neg-in
574×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0130239184
1381137644
Stop Event
1×node limit
Counts
714 → 779
Calls
Call 1
Inputs
(*.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 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 u normAngle)
(/.f32 (+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) normAngle)
(/.f32 (+.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)))) normAngle)
(/.f32 (+.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)))) normAngle)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
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(*.f32 n1_i u)
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(*.f32 n1_i u)
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(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
n0_i
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)))
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(+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 n0_i u)))
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(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
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(/.f32 (*.f32 n0_i (sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))) (sin.f32 normAngle))
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n0_i
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))
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(*.f32 normAngle (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.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) (*.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) (*.f32 #s(literal -1 binary32) u)) #s(literal 5 binary32)))))))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.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) (*.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) (*.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) (*.f32 #s(literal -1 binary32) u)) #s(literal 5 binary32))))))))))
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(*.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)))
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(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)) #s(literal 3 binary32)))))))
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(sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))
(sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))
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(sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))
(sin.f32 normAngle)
(+.f32 (sin.f32 normAngle) (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))))
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(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
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(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 u #s(literal 1 binary32))))
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normAngle
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u))
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n0_i
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
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(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
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(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) u))
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(fma.f32 (*.f32 normAngle u) #s(literal -1 binary32) normAngle)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 normAngle u)) normAngle)
(fma.f32 (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)) (cbrt.f32 normAngle) (*.f32 normAngle u))
(fma.f32 (sqrt.f32 (*.f32 normAngle u)) (sqrt.f32 (*.f32 normAngle u)) normAngle)
(fma.f32 (sqrt.f32 normAngle) (sqrt.f32 normAngle) (*.f32 normAngle u))
(fma.f32 (neg.f32 normAngle) u normAngle)
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
(+.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))))
(*.f32 (sqrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))) (sqrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))))
(pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))))))
(cbrt.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))))
(log1p.f32 (expm1.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))))
(exp.f32 (log.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 normAngle (/.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(*.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 normAngle (neg.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 normAngle #s(literal 1 binary32)) (/.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 (/.f32 normAngle (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 normAngle (sqrt.f32 (sin.f32 normAngle))) (/.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (sin.f32 normAngle))) (/.f32 normAngle (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (/.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 normAngle (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) 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 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (*.f32 normAngle (neg.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) 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 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) #s(literal 1 binary32)))
(+.f32 (*.f32 normAngle (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle (*.f32 u n1_i)))
(+.f32 (*.f32 normAngle (*.f32 u n1_i)) (*.f32 normAngle (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle) (*.f32 (*.f32 u n1_i) normAngle))
(+.f32 (*.f32 (*.f32 u n1_i) normAngle) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle))
(+.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) (*.f32 (*.f32 normAngle (*.f32 u n1_i)) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 u n1_i) normAngle) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) #s(literal 1 binary32))
(/.f32 (+.f32 (pow.f32 (*.f32 normAngle (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (*.f32 u n1_i)) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 (*.f32 normAngle (*.f32 u n1_i)) (*.f32 normAngle (*.f32 u n1_i))) (*.f32 (*.f32 normAngle (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle (*.f32 u n1_i))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 u n1_i) normAngle) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle)) (-.f32 (*.f32 (*.f32 (*.f32 u n1_i) normAngle) (*.f32 (*.f32 u n1_i) normAngle)) (*.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle) (*.f32 (*.f32 u n1_i) normAngle)))))
(/.f32 (-.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 normAngle (*.f32 u n1_i)) (*.f32 normAngle (*.f32 u n1_i)))) (-.f32 (*.f32 normAngle (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle (*.f32 u n1_i))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle)) (*.f32 (*.f32 (*.f32 u n1_i) normAngle) (*.f32 (*.f32 u n1_i) normAngle))) (-.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle) (*.f32 (*.f32 u n1_i) normAngle)))
(pow.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) normAngle))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))
(cbrt.f32 (pow.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(log1p.f32 (expm1.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(exp.f32 (log.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) #s(literal 1 binary32)))
(fma.f32 normAngle (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 normAngle (*.f32 u n1_i)))
(fma.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle (*.f32 (*.f32 u n1_i) normAngle))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))) (/.f32 (pow.f32 (*.f32 u n1_i) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))))
(*.f32 #s(literal 1 binary32) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (sqrt.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sqrt.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 u n1_i) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 u n1_i) (-.f32 (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))
(*.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 u n1_i) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 u n1_i) (-.f32 (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 u n1_i) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 u n1_i) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 u n1_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 u n1_i) (-.f32 (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 u n1_i) #s(literal 2 binary32))) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 u n1_i) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 u n1_i) (-.f32 (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 u n1_i) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))))
(/.f32 (+.f32 (pow.f32 (*.f32 u n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 u n1_i) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(/.f32 (-.f32 (pow.f32 (*.f32 u n1_i) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(pow.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(cbrt.f32 (pow.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(log1p.f32 (expm1.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (log.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))
(fma.f32 #s(literal 1 binary32) (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u n1_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u n1_i)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 u n1_i))
(fma.f32 (sqrt.f32 (*.f32 u n1_i)) (sqrt.f32 (*.f32 u n1_i)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 u n1_i))
(-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(*.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.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))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))
(*.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (+.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) (-.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.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))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.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))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(/.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.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))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))
(/.f32 (neg.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))) (neg.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))
(pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(log.f32 (/.f32 (pow.f32 (exp.f32 n0_i) (-.f32 #s(literal 1 binary32) u)) (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)))
(cbrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.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 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(fma.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 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
Outputs
(*.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))
(fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) u) (*.f32 n1_i u))
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n0_i
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(*.f32 normAngle (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.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) (*.f32 #s(literal -1 binary32) u)) #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)) #s(literal 5 binary32))))))))))
(*.f32 normAngle (+.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.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)) (fma.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)))))))))
(sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))
(sin.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 u normAngle) normAngle)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))
(sin.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 u normAngle) normAngle)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))
(sin.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 u normAngle) normAngle)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) (*.f32 #s(literal -1 binary32) normAngle)))
(sin.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 u normAngle) normAngle)))
(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 (neg.f32 normAngle) (*.f32 u (cos.f32 normAngle))))
(-.f32 (sin.f32 normAngle) (*.f32 (*.f32 u normAngle) (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 (fma.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 -1/2 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (sin.f32 normAngle)))) (*.f32 normAngle (cos.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)))))))))
(+.f32 (sin.f32 normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 normAngle (cos.f32 normAngle)) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (sin.f32 normAngle)) (*.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) (*.f32 u (cos.f32 normAngle))))))))
(+.f32 (sin.f32 normAngle) (*.f32 u (-.f32 (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (sin.f32 normAngle)) (*.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) (*.f32 u (cos.f32 normAngle))))) (*.f32 normAngle (cos.f32 normAngle)))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
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(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 u #s(literal 1 binary32))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 u #s(literal 1 binary32))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 u #s(literal 1 binary32))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 u #s(literal 1 binary32))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
normAngle
(*.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)))
(*.f32 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u))
(*.f32 (neg.f32 normAngle) u)
(*.f32 u (neg.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
(*.f32 (neg.f32 u) (+.f32 normAngle (/.f32 (neg.f32 normAngle) u)))
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 u))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
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(*.f32 (neg.f32 u) (+.f32 normAngle (/.f32 (neg.f32 normAngle) u)))
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 u))
n0_i
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) n0_i (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
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(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) n0_i (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
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(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
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(*.f32 (-.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 u))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
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(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
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(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
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(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) n0_i)) u)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))
(*.f32 (neg.f32 n0_i) (*.f32 #s(literal -1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (/.f32 (*.f32 n1_i (*.f32 u normAngle)) n0_i) (sin.f32 normAngle)))))
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(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))
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(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))
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(*.f32 n0_i (neg.f32 (-.f32 (+.f32 u #s(literal -1 binary32)) (*.f32 (/.f32 u (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) n0_i)))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
(fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) u) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) 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 #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))))))
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(fma.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 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (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 #s(literal 1 binary32) u)))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (neg.f32 n1_i) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))))

eval119.0ms (0.7%)

Compiler

Compiled 25154 to 4131 computations (83.6% saved)

prune190.0ms (1.2%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New1148141162
Fresh7916
Picked415
Done022
Total1159261185
Accuracy
100.0%
Counts
1185 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (*.f32 normAngle (/.f32 u normAngle)) n1_i))
▶97.5%
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))
97.5%
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
81.7%
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
77.8%
(/.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))
63.9%
(/.f32 (*.f32 normAngle (+.f32 n0_i (*.f32 n1_i u))) (sin.f32 normAngle))
30.9%
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
48.4%
(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
97.1%
(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (*.f32 u n1_i))
▶90.4%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
97.4%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))
98.3%
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
▶80.2%
(+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
89.3%
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
▶99.0%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
✓36.4%
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
77.3%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
77.3%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 n1_i (*.f32 u normAngle))))
59.2%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
98.4%
(*.f32 u (+.f32 (-.f32 (/.f32 n0_i u) n0_i) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))
94.2%
(*.f32 u (+.f32 n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle))))))
✓36.4%
(*.f32 u n1_i)
36.3%
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
98.3%
(*.f32 n1_i (+.f32 (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
▶59.3%
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
✓46.8%
n0_i
Compiler

Compiled 807 to 540 computations (33.1% saved)

simplify461.0ms (2.9%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 u normAngle)
cost-diff0
(sin.f32 (*.f32 u normAngle))
cost-diff64
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.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-diff0
(*.f32 n1_i normAngle)
✓cost-diff0
(*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
cost-diff0
(*.f32 u n1_i)
cost-diff0
(-.f32 #s(literal 1 binary32) u)
✓cost-diff64
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))
✓cost-diff32
(*.f32 #s(literal -1 binary32) u)
✓cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))
✓cost-diff64
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
✓cost-diff0
(/.f32 normAngle (sin.f32 normAngle))
✓cost-diff0
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
✓cost-diff0
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
✓cost-diff0
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
Rules
3718×fma-define
1372×fma-neg
672×times-frac
416×cancel-sign-sub-inv
394×distribute-lft-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038691
181661
2162661
3328657
4547655
5950655
61547655
72727655
83944655
94304655
104337655
114341655
124348655
134795655
145571655
155607655
165782655
175786655
185798655
195824655
205824655
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
n0_i
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))
#s(literal 1 binary32)
(*.f32 #s(literal -1 binary32) u)
#s(literal -1 binary32)
u
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 u n1_i)
n1_i
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))
(*.f32 n1_i normAngle)
n1_i
normAngle
(/.f32 u (sin.f32 normAngle))
(sin.f32 normAngle)
(+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
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)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
n1_i
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i)
(fma.f32 u (-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) n0_i) n0_i)
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i) n0_i)
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)))
(*.f32 u (-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) n0_i))
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))
(-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(*.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 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(*.f32 #s(literal -1 binary32) u)
(neg.f32 u)
#s(literal -1 binary32)
u
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u (fma.f32 n0_i #s(literal -1 binary32) n1_i) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 u n1_i)
n1_i
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i)
(fma.f32 u (-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) n0_i) n0_i)
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i) n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (*.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n1_i normAngle)
n1_i
normAngle
(/.f32 u (sin.f32 normAngle))
(sin.f32 normAngle)
(+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 n0_i (*.f32 n1_i (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
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 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
n1_i

localize241.0ms (1.5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
accuracy99.9%
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓accuracy99.7%
(+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
accuracy95.3%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy99.9%
(/.f32 u (sin.f32 normAngle))
accuracy99.7%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓accuracy99.7%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
✓accuracy73.5%
(*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))
accuracy100.0%
(-.f32 #s(literal 1 binary32) u)
accuracy100.0%
(*.f32 u n1_i)
✓accuracy99.7%
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))
✓accuracy100.0%
(*.f32 #s(literal -1 binary32) u)
✓accuracy99.7%
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
✓accuracy99.9%
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
✓accuracy99.9%
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
✓accuracy99.8%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
✓accuracy99.7%
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
Results
203.0ms254×0valid
1.0ms2×1valid
Compiler

Compiled 183 to 30 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-sub: 28.0ms (42.7% of total)
ival-mult: 18.0ms (27.4% of total)
ival-div: 6.0ms (9.1% of total)
ival-add: 5.0ms (7.6% of total)
ival-sin: 5.0ms (7.6% of total)
ival-fma: 3.0ms (4.6% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series75.0ms (0.5%)

Counts
14 → 373
Calls
Call 1
Inputs
#<alt (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))>
#<alt (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)>
#<alt (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))>
#<alt (/.f32 normAngle (sin.f32 normAngle))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))>
#<alt (*.f32 #s(literal -1 binary32) u)>
#<alt (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))>
#<alt (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))>
#<alt (*.f32 n1_i normAngle)>
#<alt (*.f32 u normAngle)>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))>
#<alt (+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))>
Outputs
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.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 u) n1_i)) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)) (*.f32 #s(literal -1 binary32) (/.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 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (+.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 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 n0_i (-.f32 #s(literal 1 binary32) 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))))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))>
#<alt (*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))>
#<alt (*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) normAngle)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt n0_i>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt n0_i>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))) #s(literal 1 binary32))))>
#<alt n0_i>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (*.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 n0_i (*.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 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (*.f32 n1_i u))>
#<alt (+.f32 n0_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))))))>
#<alt (+.f32 n0_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))))))>
#<alt (+.f32 n0_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 (*.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 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt n0_i>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (/.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 (+.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i)) (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i)) (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i)) (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))>
Calls

108 calls:

TimeVariablePointExpression
14.0ms
u
@-inf
(* n0_i (+ 1 (* -1 u)))
3.0ms
u
@0
(* u (- (* n1_i (/ normAngle (sin normAngle))) n0_i))
1.0ms
normAngle
@0
(* u (- (* n1_i (/ normAngle (sin normAngle))) n0_i))
1.0ms
normAngle
@-inf
(* u (- (* n1_i (/ normAngle (sin normAngle))) n0_i))
1.0ms
normAngle
@0
(+ n0_i (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

rewrite147.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
586×associate-*r*
282×log1p-expm1-u
282×expm1-log1p-u
279×add-cube-cbrt
277×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038409
1646397
Stop Event
1×node limit
Counts
14 → 375
Calls
Call 1
Inputs
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 normAngle (sin.f32 normAngle))
(*.f32 n0_i (+.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)
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))
(*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))
(*.f32 n1_i normAngle)
(*.f32 u normAngle)
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Outputs
(+.f32 (*.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 u (neg.f32 n0_i)))
(+.f32 (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u) (*.f32 (neg.f32 n0_i) u))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))))) #s(literal 1 binary32))
(pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))))))
(cbrt.f32 (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)))))
(log1p.f32 (expm1.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)))))
(exp.f32 (log.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)))))
(exp.f32 (*.f32 (log.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)))) #s(literal 1 binary32)))
(+.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 n0_i))
(+.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) (fma.f32 (neg.f32 n0_i) #s(literal 1 binary32) n0_i))
(+.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) (fma.f32 (neg.f32 (sqrt.f32 n0_i)) (sqrt.f32 n0_i) n0_i))
(+.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (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 (/.f32 normAngle (sin.f32 normAngle)) 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 #s(literal 1 binary32) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (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 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (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 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (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 (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32)) (*.f32 (neg.f32 n0_i) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))))
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(*.f32 (pow.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))))
(*.f32 (+.f32 (sqrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) (sqrt.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))) (-.f32 (sqrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) (sqrt.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))))) (+.f32 (pow.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) (pow.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))))))
(/.f32 (pow.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) #s(literal 2 binary32)) (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))))))
(/.f32 (neg.f32 (pow.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) #s(literal 2 binary32))) (neg.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))))
(pow.f32 (cbrt.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))) #s(literal 2 binary32))
(pow.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) #s(literal 1 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))))))
(log.f32 (/.f32 (pow.f32 (exp.f32 n0_i) (+.f32 u #s(literal 1 binary32))) (pow.f32 (pow.f32 (exp.f32 n1_i) normAngle) (/.f32 u (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))))
(exp.f32 (log.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))
(fma.f32 n0_i (+.f32 u #s(literal 1 binary32)) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 n0_i (+.f32 u #s(literal 1 binary32)) (neg.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) (neg.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))
(fma.f32 (+.f32 u #s(literal 1 binary32)) n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 (+.f32 u #s(literal 1 binary32)) n0_i (neg.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))
(fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))
(fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 n1_i normAngle) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) (neg.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) (sqrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 (sqrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) (sqrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) (neg.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))) (sqrt.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 n0_i #s(literal 2 binary32)) (-.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))
(*.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)) (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)))
(*.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i n0_i (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n0_i)))))
(*.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n0_i))) (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n0_i))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n0_i)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n0_i))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n0_i))
(pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)))
(exp.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)) #s(literal 1 binary32)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n0_i)
(fma.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))

simplify361.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1598×fma-define
822×distribute-rgt-in
812×distribute-lft-in
518×*-commutative
426×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0115535836
1310534308
Stop Event
1×node limit
Counts
748 → 764
Calls
Call 1
Inputs
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.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 u) n1_i)) (/.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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n0_i
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))
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n0_i
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n0_i
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n0_i
(+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
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(pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))) #s(literal 1 binary32))
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(pow.f32 (sqrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))))
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(exp.f32 (log.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)))))
(exp.f32 (*.f32 (log.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)))) #s(literal 1 binary32)))
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(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))
(fma.f32 n0_i (+.f32 u #s(literal 1 binary32)) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 n0_i (+.f32 u #s(literal 1 binary32)) (neg.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) (neg.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))
(fma.f32 (+.f32 u #s(literal 1 binary32)) n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 (+.f32 u #s(literal 1 binary32)) n0_i (neg.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))
(fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))
(fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 n1_i normAngle) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) (neg.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) (sqrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 (sqrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) (sqrt.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32)))) (neg.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))) (sqrt.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))) (*.f32 n0_i (+.f32 u #s(literal 1 binary32))))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 n0_i #s(literal 2 binary32)) (-.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))
(*.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)) (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)))
(*.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i n0_i (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n0_i)))))
(*.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n0_i))) (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n0_i))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n0_i)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n0_i))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n0_i))
(pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)))
(exp.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)) #s(literal 1 binary32)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n0_i)
(fma.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
Outputs
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(neg.f32 (*.f32 u n0_i))
(*.f32 u (neg.f32 n0_i))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (/.f32 (*.f32 u (*.f32 n1_i normAngle)) (sin.f32 normAngle)))
(-.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))) (*.f32 u n0_i))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (/.f32 (*.f32 u (*.f32 n1_i normAngle)) (sin.f32 normAngle)))
(-.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))) (*.f32 u n0_i))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (/.f32 (*.f32 u (*.f32 n1_i normAngle)) (sin.f32 normAngle)))
(-.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))) (*.f32 u n0_i))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 u (*.f32 n1_i normAngle)) (sin.f32 normAngle))
(*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 u n1_i)) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (*.f32 u n0_i) (neg.f32 n1_i))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 u n1_i)) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (*.f32 u n0_i) (neg.f32 n1_i))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 u n1_i)) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (*.f32 u n0_i) (neg.f32 n1_i))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 u (*.f32 n1_i normAngle)) (sin.f32 normAngle))
(*.f32 (*.f32 n1_i normAngle) (/.f32 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 u) n1_i))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 u n1_i)) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (*.f32 u n0_i) (neg.f32 n1_i))))
(*.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 u) n1_i))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 u n1_i)) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (*.f32 u n0_i) (neg.f32 n1_i))))
(*.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 u) n1_i))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 u n1_i)) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (*.f32 u n0_i) (neg.f32 n1_i))))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) u)))
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)))))
(fma.f32 u (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 #s(literal 1/6 binary32) n1_i) u))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal 1/6 binary32) (*.f32 u n1_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (*.f32 n1_i #s(literal 7/360 binary32))))) (*.f32 u (-.f32 n1_i n0_i)))
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(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n0_i)
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(fma.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (*.f32 #s(literal 1 binary32) n1_i) (sin.f32 normAngle)) n0_i)
(fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) n0_i)
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) n0_i)
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)

eval282.0ms (1.8%)

Compiler

Compiled 20440 to 3659 computations (82.1% saved)

prune230.0ms (1.4%)

Pruning

34 alts after pruning (28 fresh and 6 done)

PrunedKeptTotal
New1057201077
Fresh10818
Picked235
Done033
Total1069341103
Accuracy
100.0%
Counts
1103 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.8%
(/.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))
30.9%
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
59.4%
(-.f32 n0_i (*.f32 u n0_i))
97.1%
(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (*.f32 u n1_i))
89.9%
(+.f32 (*.f32 n0_i (pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
✓90.4%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
89.0%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u normAngle)))
97.4%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))
79.1%
(+.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) (*.f32 u n1_i))
79.9%
(+.f32 n0_i (*.f32 (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓80.2%
(+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
75.0%
(+.f32 n0_i (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
98.5%
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))) n0_i)))
✓99.0%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
97.6%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
79.1%
(+.f32 n0_i (*.f32 u (+.f32 n0_i n1_i)))
67.4%
(+.f32 n0_i (*.f32 u (*.f32 n0_i (-.f32 (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32)))))
80.6%
(+.f32 n0_i (*.f32 u n1_i))
✓36.4%
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
77.3%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
77.3%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 n1_i (*.f32 u normAngle))))
59.2%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
59.1%
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
98.4%
(*.f32 u (+.f32 (/.f32 n0_i u) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
97.1%
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
✓36.4%
(*.f32 u n1_i)
36.3%
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
97.3%
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
52.7%
(*.f32 n0_i (/.f32 (fma.f32 u u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
97.1%
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 u n0_i))) u))
59.3%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
45.7%
(*.f32 n0_i (+.f32 u #s(literal 1 binary32)))
90.3%
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
✓46.8%
n0_i
Compiler

Compiled 1434 to 556 computations (61.2% saved)

regimes149.0ms (0.9%)

Counts
70 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (+.f32 u #s(literal 1 binary32)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(+.f32 n0_i (*.f32 u (+.f32 n0_i n1_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(+.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) (*.f32 u n1_i))
(+.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 u n1_i))
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 u n0_i))) u))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u normAngle)))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u 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))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))
(*.f32 n0_i (/.f32 (fma.f32 u u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(+.f32 n0_i (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (+.f32 n0_i (*.f32 n1_i u))) (sin.f32 normAngle))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
(+.f32 n0_i (*.f32 (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (*.f32 normAngle (/.f32 u normAngle)) n1_i))
(*.f32 u (+.f32 (-.f32 (/.f32 n0_i u) n0_i) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))
(*.f32 u (+.f32 (/.f32 n0_i u) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))) n0_i)))
(*.f32 n1_i (+.f32 (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (*.f32 n0_i (-.f32 (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 normAngle (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))))
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(*.f32 n0_i (/.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))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (sin.f32 normAngle))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (*.f32 u n1_i))
(*.f32 n1_i (+.f32 u (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(*.f32 u (+.f32 n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle))))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.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 u 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 n1_i (*.f32 u normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
(+.f32 (*.f32 n0_i (pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
(/.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 (/.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 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 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))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 normAngle (/.f32 u (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 n1_i normAngle)))
(fma.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (/.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 (-.f32 (*.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (neg.f32 n0_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))
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (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)))
Outputs
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
Calls

5 calls:

58.0ms
u
26.0ms
normAngle
21.0ms
n1_i
19.0ms
(+.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))
18.0ms
n0_i
Results
AccuracySegmentsBranch
99.1%1normAngle
99.1%1u
99.1%1n0_i
99.1%1n1_i
99.1%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)

regimes246.0ms (1.5%)

Counts
62 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (+.f32 u #s(literal 1 binary32)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(+.f32 n0_i (*.f32 u (+.f32 n0_i n1_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(+.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) (*.f32 u n1_i))
(+.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 u n1_i))
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 u n0_i))) u))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u normAngle)))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u 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))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))
(*.f32 n0_i (/.f32 (fma.f32 u u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(+.f32 n0_i (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (+.f32 n0_i (*.f32 n1_i u))) (sin.f32 normAngle))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
(+.f32 n0_i (*.f32 (*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (*.f32 normAngle (/.f32 u normAngle)) n1_i))
(*.f32 u (+.f32 (-.f32 (/.f32 n0_i u) n0_i) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))
(*.f32 u (+.f32 (/.f32 n0_i u) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))) n0_i)))
(*.f32 n1_i (+.f32 (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (*.f32 n0_i (-.f32 (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 normAngle (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))))
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(*.f32 n0_i (/.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))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (*.f32 n0_i (sin.f32 (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))))) (sin.f32 normAngle))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (*.f32 u n1_i))
(*.f32 n1_i (+.f32 u (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(*.f32 u (+.f32 n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle))))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.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 u 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 n1_i (*.f32 u normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
(+.f32 (*.f32 n0_i (pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
(/.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 (/.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 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 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))
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
Calls

4 calls:

104.0ms
n0_i
102.0ms
n1_i
17.0ms
u
15.0ms
normAngle
Results
AccuracySegmentsBranch
99.0%1normAngle
99.0%1u
99.0%1n0_i
99.0%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes33.0ms (0.2%)

Counts
27 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (+.f32 u #s(literal 1 binary32)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(+.f32 n0_i (*.f32 u (+.f32 n0_i n1_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(+.f32 (*.f32 n0_i (+.f32 u #s(literal 1 binary32))) (*.f32 u n1_i))
(+.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 u n1_i))
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 u n0_i))) u))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u normAngle)))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u 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))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))
(*.f32 n0_i (/.f32 (fma.f32 u u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(+.f32 n0_i (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (+.f32 n0_i (*.f32 n1_i u))) (sin.f32 normAngle))
Outputs
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
Calls

4 calls:

9.0ms
u
8.0ms
n1_i
8.0ms
n0_i
7.0ms
normAngle
Results
AccuracySegmentsBranch
97.6%1normAngle
97.6%1u
97.6%1n0_i
97.6%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes68.0ms (0.4%)

Counts
9 → 2
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (+.f32 u #s(literal 1 binary32)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(+.f32 n0_i (*.f32 u (+.f32 n0_i n1_i)))
Outputs
(+.f32 n0_i (*.f32 u n1_i))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
Calls

4 calls:

57.0ms
normAngle
3.0ms
n1_i
3.0ms
n0_i
3.0ms
u
Results
AccuracySegmentsBranch
80.6%1n1_i
80.6%1u
80.6%1normAngle
84.8%2n0_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes10.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (+.f32 u #s(literal 1 binary32)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
Outputs
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 u n1_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
Calls

4 calls:

3.0ms
n1_i
2.0ms
u
2.0ms
normAngle
2.0ms
n0_i
Results
AccuracySegmentsBranch
59.3%1u
71.9%3n1_i
59.3%1normAngle
72.8%3n0_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes8.0ms (0%)

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

4 calls:

2.0ms
n1_i
2.0ms
u
2.0ms
n0_i
2.0ms
normAngle
Results
AccuracySegmentsBranch
46.8%1normAngle
51.8%2u
60.2%3n1_i
60.5%3n0_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

3.0ms
n0_i
1.0ms
n1_i
1.0ms
u
Results
AccuracySegmentsBranch
46.8%1u
46.8%1n1_i
46.8%1n0_i
Compiler

Compiled 15 to 12 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.897616856401732e-13
3.9996765665087364e-13
Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch0.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.349670050434644e-25
7.71907495506907e-25
0.0ms
-3.9283632428435013e-29
-2.42184129450197e-30
Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch0.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.349670050434644e-25
7.71907495506907e-25
0.0ms
-3.9283632428435013e-29
-2.42184129450197e-30
Compiler

Compiled 36 to 23 computations (36.1% saved)

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Rules
20×*-commutative
16×+-commutative
10×sub-neg
4×neg-sub0
4×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048330
175330
283330
387330
489330
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n0_i #s(literal 14757395/73786976294838206464 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(if (<=.f32 n0_i #s(literal -1661535/83076749736557242056487941267521536 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 10141205/20282409603651670423947251286016 binary32)) (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(if (<=.f32 n0_i #s(literal -1661535/83076749736557242056487941267521536 binary32)) n0_i (if (<=.f32 n0_i #s(literal 10141205/20282409603651670423947251286016 binary32)) (*.f32 u n1_i) n0_i))
n0_i
Outputs
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n0_i #s(literal 14757395/73786976294838206464 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(if (<=.f32 n0_i #s(literal 14757395/73786976294838206464 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(if (<=.f32 n0_i #s(literal -1661535/83076749736557242056487941267521536 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 10141205/20282409603651670423947251286016 binary32)) (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(if (or (<=.f32 n0_i #s(literal -1661535/83076749736557242056487941267521536 binary32)) (not (<=.f32 n0_i #s(literal 10141205/20282409603651670423947251286016 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
(if (<=.f32 n0_i #s(literal -1661535/83076749736557242056487941267521536 binary32)) n0_i (if (<=.f32 n0_i #s(literal 10141205/20282409603651670423947251286016 binary32)) (*.f32 u n1_i) n0_i))
n0_i

soundness2.2s (13.5%)

Rules
1598×fma-define
1510×fma-neg
1090×fma-define
1040×distribute-lft-in
1020×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0115535836
1310534308
0123743130
1378641876
039888
1653823
27582823
0130239184
1381137644
01516111430
13962106687
01151608
13041396
28281320
324121170
445951170
577891170
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 722 to 238 computations (67% saved)

preprocess41.0ms (0.3%)

Remove

(abs normAngle)

Compiler

Compiled 370 to 192 computations (48.1% saved)

end0.0ms (0%)

Profiling

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