Curve intersection, scale width based on ribbon orientation

Time bar (total: 15.2s)

analyze527.0ms (3.5%)

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: 327.0ms
ival-sin: 83.0ms (25.4% of total)
ival-mult: 79.0ms (24.2% of total)
ival-<=: 65.0ms (19.9% of total)
...c/correct-round.rkt:121:19: 35.0ms (10.7% of total)
ival-div: 23.0ms (7% of total)
ival-sub: 12.0ms (3.7% of total)
ival-and: 11.0ms (3.4% of total)
ival-add: 8.0ms (2.4% of total)
ival-pi: 7.0ms (2.1% of total)
const: 3.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

sample4.0s (26.2%)

Results
2.5s8256×0valid
613.0ms2092×0precondition
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-sin: 695.0ms (27% of total)
ival-<=: 640.0ms (24.9% of total)
ival-mult: 484.0ms (18.8% of total)
...c/correct-round.rkt:121:19: 228.0ms (8.9% of total)
ival-div: 188.0ms (7.3% of total)
ival-pi: 118.0ms (4.6% of total)
ival-and: 71.0ms (2.8% of total)
ival-sub: 66.0ms (2.6% of total)
ival-add: 57.0ms (2.2% of total)
const: 23.0ms (0.9% of total)
backward-pass: 3.0ms (0.1% of total)
Bogosity

preprocess214.0ms (1.4%)

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)

explain184.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
230-20(3.088815884257475e-36 4.297959765864334e-10 3.750415765999752e-27 1.8092741788852197e-32)(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
20-0-(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
00-0-(/.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
92.0ms496×0valid
19.0ms16×1valid
Compiler

Compiled 241 to 53 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 27.0ms (38.9% of total)
ival-sub: 16.0ms (23.1% of total)
ival-sin: 14.0ms (20.2% of total)
ival-div: 8.0ms (11.5% of total)
ival-add: 3.0ms (4.3% of total)
const: 1.0ms (1.4% of total)
backward-pass: 1.0ms (1.4% of total)

eval1.0ms (0%)

Compiler

Compiled 85 to 26 computations (69.4% saved)

prune4.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(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))
▶96.7%
(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)))
▶75.4%
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
▶96.9%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
▶75.1%
(*.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)

simplify195.0ms (1.3%)

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

localize266.0ms (1.8%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy98.4%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
✓accuracy98.1%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy95.4%
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
✓accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy99.6%
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓accuracy98.1%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy94.8%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓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)
✓accuracy99.6%
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
✓accuracy75.6%
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
✓accuracy99.7%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
✓accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy99.6%
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
✓accuracy75.4%
(*.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)
✓accuracy99.1%
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
✓accuracy95.4%
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
Results
101.0ms248×0valid
7.0ms8×1valid
Compiler

Compiled 409 to 31 computations (92.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 20.0ms (40.6% of total)
ival-fma: 9.0ms (18.3% of total)
ival-div: 8.0ms (16.2% of total)
ival-sin: 7.0ms (14.2% of total)
ival-add: 2.0ms (4.1% of total)
ival-sub: 2.0ms (4.1% of total)
backward-pass: 1.0ms (2% of total)
const: 0.0ms (0% of total)

series224.0ms (1.5%)

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
22.0ms
u
@-inf
(+ (* (/ (sin (* (- 1 u) normAngle)) (sin normAngle)) n0_i) (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i))
5.0ms
normAngle
@0
(sin normAngle)
5.0ms
normAngle
@0
(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)
3.0ms
u
@inf
(* (- 1 u) normAngle)
3.0ms
normAngle
@0
(+ (* (/ (sin (* (- 1 u) normAngle)) (sin normAngle)) n0_i) (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i))

rewrite719.0ms (4.7%)

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))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) #s(literal 2 binary32)))) (cbrt.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))
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(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 1 binary32)))
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(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
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(/.f32 (neg.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (neg.f32 (sin.f32 normAngle)))
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(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 n1_i (sin.f32 normAngle))))
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(exp.f32 (+.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (neg.f32 (log.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)))

simplify1.2s (8%)

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))

eval250.0ms (1.7%)

Compiler

Compiled 51788 to 5495 computations (89.4% saved)

prune486.0ms (3.2%)

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
▶99.3%
(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))
98.0%
(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))))
98.0%
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
98.9%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
84.9%
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
75.1%
(/.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) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
74.2%
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
▶37.2%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
41.6%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
▶97.9%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
97.7%
(+.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))))
97.0%
(+.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))
98.8%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
▶88.7%
(+.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)))))
73.7%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 n0_i normAngle) (-.f32 #s(literal 1 binary32) u)) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
97.8%
(*.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))
51.8%
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
▶42.7%
n0_i
Compiler

Compiled 680 to 448 computations (34.1% saved)

simplify153.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 normAngle n1_i)
✓cost-diff0
(/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))
✓cost-diff160
(-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))
✓cost-diff160
(*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))
cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
cost-diff64
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff64
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓cost-diff0
(*.f32 u normAngle)
✓cost-diff0
(sin.f32 (*.f32 u normAngle))
✓cost-diff0
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
✓cost-diff0
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
cost-diff0
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
✓cost-diff6400
(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
2038×fma-define
1512×unsub-neg
770×fma-neg
664×distribute-lft-in
606×div-sub
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0411033
1831017
2168990
3394951
41003951
52134948
63729942
75263942
86685942
97929942
Stop Event
1×node limit
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 (*.f32 u normAngle))) (sin.f32 normAngle))
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
n1_i
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 u n1_i)
n1_i
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
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))))
u
(-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))
(*.f32 normAngle n1_i)
normAngle
n1_i
(sin.f32 normAngle)
(/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))
(*.f32 n0_i normAngle)
(cos.f32 normAngle)
Outputs
(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 normAngle (*.f32 (/.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 normAngle (/.f32 (*.f32 u n1_i) (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 normAngle n1_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 u (*.f32 normAngle n1_i)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 u (*.f32 normAngle n1_i))) (sin.f32 normAngle))
(/.f32 (-.f32 (*.f32 u (*.f32 normAngle n1_i)) (*.f32 (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))) 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 normAngle (*.f32 (/.f32 u (sin.f32 normAngle)) n1_i))
(*.f32 normAngle (/.f32 (*.f32 u n1_i) (sin.f32 normAngle)))
(*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 normAngle n1_i))
(/.f32 (*.f32 u (*.f32 normAngle 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 (*.f32 u normAngle))) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
n1_i
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
(+.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 (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 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i))
(*.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 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 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 normAngle (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) n0_i)
(fma.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) n0_i)
(fma.f32 u (*.f32 normAngle (/.f32 (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i) (sin.f32 normAngle))) n0_i)
(fma.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i) n0_i)
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 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 normAngle (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))))
(*.f32 u (*.f32 normAngle (/.f32 (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i) (sin.f32 normAngle))))
(*.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 normAngle (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i)))
u
(-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))
(-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 normAngle (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle))))
(*.f32 normAngle (/.f32 (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i) (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 normAngle n1_i)
normAngle
n1_i
(sin.f32 normAngle)
(/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 normAngle (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))
(*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))
(*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))
(*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)
(*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle))
(*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle)))
(*.f32 n0_i normAngle)
(*.f32 normAngle n0_i)
(cos.f32 normAngle)

localize152.0ms (1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.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)))))
✓accuracy99.7%
(*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))
✓accuracy69.3%
(/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))
✓accuracy61.9%
(/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))
✓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)
accuracy99.6%
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy98.1%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy100.0%
(sin.f32 normAngle)
✓accuracy100.0%
(sin.f32 (*.f32 u normAngle))
✓accuracy99.6%
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
✓accuracy65.3%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
✓accuracy99.7%
(*.f32 normAngle (/.f32 u (sin.f32 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)
accuracy99.1%
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
Results
88.0ms245×0valid
9.0ms11×1valid
Compiler

Compiled 258 to 33 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 21.0ms (40.4% of total)
ival-div: 10.0ms (19.2% of total)
ival-sin: 7.0ms (13.5% of total)
ival-fma: 4.0ms (7.7% of total)
ival-add: 3.0ms (5.8% of total)
ival-sub: 3.0ms (5.8% of total)
ival-cos: 2.0ms (3.8% of total)
backward-pass: 1.0ms (1.9% of total)
const: 0.0ms (0% of total)

series83.0ms (0.5%)

Counts
13 → 444
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 (*.f32 u normAngle))) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))>
#<alt (sin.f32 (*.f32 u normAngle))>
#<alt (*.f32 u normAngle)>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))>
#<alt (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))>
#<alt (*.f32 normAngle n1_i)>
#<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 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (+.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)))))>
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))))))>
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#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 n1_i n0_i))>
#<alt (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))>
#<alt (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (*.f32 #s(literal 1/24 binary32) n0_i)))))))))>
#<alt (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (*.f32 #s(literal 1/24 binary32) n0_i))))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))))) (+.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))))))))))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))))>
#<alt (-.f32 n1_i n0_i)>
#<alt (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)>
#<alt (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (*.f32 #s(literal 1/24 binary32) n0_i)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)>
#<alt (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (+.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))))) (+.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (*.f32 #s(literal 1/24 binary32) n0_i)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)>
#<alt (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))>
#<alt (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))>
#<alt (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))>
#<alt (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))>
#<alt (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))>
#<alt (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))>
#<alt (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))>
#<alt (+.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 (*.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 (*.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 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))>
#<alt (*.f32 n0_i (-.f32 (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))>
#<alt (*.f32 n0_i (-.f32 (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))>
#<alt (*.f32 n0_i (-.f32 (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))>
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#<alt (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i))))) (*.f32 #s(literal -1/6 binary32) n0_i))))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))))>
#<alt n0_i>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))>
#<alt (+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))>
#<alt (+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (*.f32 #s(literal 1/24 binary32) n0_i))))))))))>
#<alt (+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (*.f32 #s(literal 1/24 binary32) n0_i))))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))))) (+.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))))))))))))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (+.f32 (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i normAngle)))>
#<alt (*.f32 normAngle (+.f32 (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i normAngle)))>
#<alt (*.f32 normAngle (+.f32 (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i normAngle)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))))>
#<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 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))>
#<alt (+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))>
#<alt (+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) n1_i)))))>
Calls

111 calls:

TimeVariablePointExpression
11.0ms
normAngle
@-inf
(+ (* (/ (sin (* (- 1 u) normAngle)) (sin normAngle)) n0_i) (* (* normAngle (/ u (sin normAngle))) n1_i))
3.0ms
n0_i
@-inf
(- (/ (* normAngle n1_i) (sin normAngle)) (/ (* (* n0_i normAngle) (cos normAngle)) (sin normAngle)))
2.0ms
u
@0
(* u (- (/ (* normAngle n1_i) (sin normAngle)) (/ (* (* n0_i normAngle) (cos normAngle)) (sin normAngle))))
2.0ms
n0_i
@0
(+ n0_i (* u (- (/ (* normAngle n1_i) (sin normAngle)) (/ (* (* n0_i normAngle) (cos normAngle)) (sin normAngle)))))
2.0ms
normAngle
@-inf
(* u (- (/ (* normAngle n1_i) (sin normAngle)) (/ (* (* n0_i normAngle) (cos normAngle)) (sin normAngle))))

rewrite234.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
330×times-frac
325×log1p-expm1-u
325×expm1-log1p-u
322×add-cube-cbrt
320×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041537
1723533
Stop Event
1×node limit
Counts
13 → 330
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 (*.f32 u normAngle))) (sin.f32 normAngle))
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
(*.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 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))
(*.f32 normAngle n1_i)
(*.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 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (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)))))
Outputs
(+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i) (*.f32 normAngle (*.f32 (/.f32 u (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 normAngle (*.f32 (/.f32 u (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 normAngle (*.f32 (/.f32 u (sin.f32 normAngle)) n1_i))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 normAngle (*.f32 (/.f32 u (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 normAngle (*.f32 (/.f32 u (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 normAngle (*.f32 (/.f32 u (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 normAngle (*.f32 (/.f32 u (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 normAngle (*.f32 (/.f32 u (sin.f32 normAngle)) n1_i))) #s(literal 1 binary32))
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(-.f32 (/.f32 (pow.f32 n0_i #s(literal 2 binary32)) (-.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))))
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(*.f32 (pow.f32 (cbrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) (sqrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))))
(pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(exp.f32 (log.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) n0_i)
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) u n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))

simplify558.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
1168×times-frac
876×distribute-rgt-in
854×distribute-lft-in
770×*-commutative
446×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0130848531
1387446794
Stop Event
1×node limit
Counts
774 → 674
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)))))))
(*.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 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.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)))
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(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
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n1_i
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u
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n0_i
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(*.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)))))
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(*.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)))))))
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(*.f32 n1_i u)
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(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
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(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
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(*.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)))
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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 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)))))))
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(*.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 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
n0_i
(+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))))
(+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i))))) (*.f32 #s(literal -1/6 binary32) n0_i))))
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(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
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n0_i
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(fma.f32 u n1_i (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 (/.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)) (sin.f32 normAngle)) n0_i (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (*.f32 u n1_i))
(fma.f32 n1_i u (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) 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 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i))
(fma.f32 (sqrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i)) (sqrt.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i)) (*.f32 u n1_i))
(fma.f32 (sqrt.f32 (*.f32 u n1_i)) (sqrt.f32 (*.f32 u n1_i)) (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 n0_i #s(literal 1 binary32)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))
(*.f32 (/.f32 n0_i (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 n0_i (sqrt.f32 (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (*.f32 normAngle n0_i) #s(literal 1 binary32)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 (/.f32 (*.f32 normAngle n0_i) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (cos.f32 normAngle) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (*.f32 normAngle n0_i) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cos.f32 normAngle) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (cos.f32 normAngle) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (*.f32 normAngle n0_i) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (cos.f32 normAngle) #s(literal 1 binary32)) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle)))
(*.f32 (/.f32 (cos.f32 normAngle) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (*.f32 normAngle n0_i) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (cbrt.f32 (sin.f32 normAngle))))
(pow.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 n0_i) normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 n0_i #s(literal 2 binary32)) (-.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))))
(*.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) (sqrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))))
(pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(exp.f32 (log.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) n0_i)
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) u n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 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)))))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (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 #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 normAngle (*.f32 n0_i (/.f32 (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 normAngle (*.f32 n0_i (/.f32 (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 normAngle (*.f32 n0_i (/.f32 (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 (*.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 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 u (sin.f32 normAngle))))))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) (*.f32 normAngle (*.f32 n0_i (/.f32 (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 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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle n1_i) (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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle n1_i) (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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (*.f32 u 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))))))
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n1_i
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u
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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))))))
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n0_i
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(*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
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(*.f32 normAngle (fma.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n0_i normAngle)))
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(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(exp.f32 (log.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(exp.f32 (*.f32 (log.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 1 binary32)))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 #s(literal 1 binary32) (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) n0_i)
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) u n0_i)
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) n0_i)
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 (sqrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) n0_i)
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)

eval250.0ms (1.6%)

Compiler

Compiled 31512 to 4702 computations (85.1% saved)

prune321.0ms (2.1%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1150101160
Fresh9413
Picked325
Done000
Total1162161178
Accuracy
100.0%
Counts
1178 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
98.9%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
▶74.2%
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
37.1%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
✓37.2%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
97.0%
(+.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))
98.8%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))
78.7%
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
▶99.5%
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
99.1%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
95.5%
(*.f32 u (+.f32 n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle))))))
▶44.4%
(*.f32 u n1_i)
▶43.7%
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
67.2%
(*.f32 n1_i (+.f32 u (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (sin.f32 normAngle) n1_i)))))
51.8%
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
✓42.7%
n0_i
Compiler

Compiled 470 to 317 computations (32.6% saved)

simplify94.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
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)
✓cost-diff3200
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
✓cost-diff0
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓cost-diff64
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
✓cost-diff64
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
✓cost-diff64
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
cost-diff0
(sin.f32 normAngle)
cost-diff0
(*.f32 u normAngle)
✓cost-diff0
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
✓cost-diff0
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
✓cost-diff0
(*.f32 u n1_i)
✓cost-diff0
(*.f32 #s(literal -1/6 binary32) n1_i)
✓cost-diff0
(*.f32 #s(literal -1/2 binary32) n0_i)
✓cost-diff0
(*.f32 #s(literal -1/6 binary32) n0_i)
✓cost-diff0
(pow.f32 normAngle #s(literal 2 binary32))
Rules
1866×fma-neg
1214×sub-neg
676×unsub-neg
628×associate-+l-
600×associate-*r*
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
043941
194855
2210831
3514825
41533825
53977823
67704823
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
n0_i
(*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i))
u
(-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(*.f32 #s(literal -1/6 binary32) n0_i)
#s(literal -1/6 binary32)
(+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(*.f32 #s(literal -1/2 binary32) n0_i)
#s(literal -1/2 binary32)
(*.f32 #s(literal -1/6 binary32) n1_i)
(*.f32 u n1_i)
u
n1_i
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
n1_i
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
(/.f32 (*.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)
(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
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))))) n0_i)))
(fma.f32 u (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) n1_i) n0_i) n0_i)
(fma.f32 u (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(fma.f32 u (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i) n0_i) n0_i)
n0_i
(*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i))
(*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))))) n0_i))
(*.f32 u (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) n1_i) n0_i))
(*.f32 u (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))
(*.f32 u (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i) n0_i))
u
(-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)
(-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))))) n0_i)
(-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) n1_i) n0_i)
(-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i)
(-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i) n0_i)
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) n1_i)
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i)
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))
(-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
(*.f32 #s(literal -1/6 binary32) n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))
(fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))
(*.f32 #s(literal -1/2 binary32) n0_i)
(*.f32 n0_i #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
(*.f32 #s(literal -1/6 binary32) n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(*.f32 u n1_i)
u
n1_i
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 normAngle (*.f32 u (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(*.f32 normAngle (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
(/.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 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_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 (+.f32 n0_i (*.f32 u (-.f32 n1_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))
(+.f32 n0_i (*.f32 u (-.f32 n1_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 n1_i u)
(*.f32 u n1_i)
n1_i
(sin.f32 normAngle)
(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 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle (*.f32 u (/.f32 n1_i (sin.f32 normAngle)))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) 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 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 normAngle (*.f32 u (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(*.f32 normAngle (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))
(*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
normAngle
(/.f32 u (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i

localize169.0ms (1.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f32 u (sin.f32 normAngle))
✓accuracy99.9%
(*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i)
accuracy99.7%
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
✓accuracy99.6%
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
✓accuracy99.7%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
✓accuracy99.6%
(*.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)))
✓accuracy76.3%
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
accuracy100.0%
(*.f32 u normAngle)
accuracy100.0%
(sin.f32 normAngle)
✓accuracy99.9%
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
✓accuracy95.5%
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
✓accuracy100.0%
(*.f32 u n1_i)
✓accuracy99.7%
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
✓accuracy99.1%
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
✓accuracy99.0%
(*.f32 #s(literal -1/6 binary32) n1_i)
✓accuracy99.0%
(*.f32 #s(literal -1/6 binary32) n0_i)
Results
98.0ms251×0valid
8.0ms4×5exit
5.0ms1×1valid
Compiler

Compiled 257 to 35 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 26.0ms (40.2% of total)
ival-div: 8.0ms (12.4% of total)
ival-add: 8.0ms (12.4% of total)
...c/correct-round.rkt:121:19: 6.0ms (9.3% of total)
ival-pow: 5.0ms (7.7% of total)
ival-sub: 4.0ms (6.2% of total)
ival-fma: 3.0ms (4.6% of total)
ival-sin: 3.0ms (4.6% of total)
const: 1.0ms (1.5% of total)
backward-pass: 1.0ms (1.5% of total)

series58.0ms (0.4%)

Counts
16 → 338
Calls
Call 1
Inputs
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (*.f32 #s(literal -1/6 binary32) n0_i)>
#<alt (*.f32 #s(literal -1/2 binary32) n0_i)>
#<alt (*.f32 #s(literal -1/6 binary32) n1_i)>
#<alt (*.f32 u n1_i)>
#<alt (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))>
#<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 n0_i (-.f32 #s(literal 1 binary32) 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 u (sin.f32 normAngle))) n1_i)>
#<alt (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt (/.f32 u (sin.f32 normAngle))>
Outputs
#<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 (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 n1_i u)>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt u>
#<alt (+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))>
#<alt (+.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))))>
#<alt (+.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))))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.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)))>
#<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 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (*.f32 #s(literal 1/120 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (+.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 (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 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (+.f32 (*.f32 #s(literal 1/720 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (*.f32 #s(literal 1/120 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (*.f32 #s(literal 1/120 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (*.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 (*.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 (*.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 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (sin.f32 normAngle))))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (sin.f32 normAngle))))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n0_i (*.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 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.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 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.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 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (sin.f32 normAngle))))))>
#<alt (/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle))>
#<alt (+.f32 (/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))) (sin.f32 normAngle)))>
#<alt (+.f32 (/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))) (sin.f32 normAngle)))>
#<alt (+.f32 (/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 normAngle (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))) (sin.f32 normAngle))>
#<alt (*.f32 u (+.f32 (/.f32 (*.f32 n0_i normAngle) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))) (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (/.f32 (*.f32 n0_i normAngle) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))) (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (/.f32 (*.f32 n0_i normAngle) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))) (sin.f32 normAngle))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (+.f32 n0_i (*.f32 #s(literal -1 binary32) n1_i)))) (sin.f32 normAngle)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i normAngle) (*.f32 u (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (+.f32 n0_i (*.f32 #s(literal -1 binary32) n1_i))) (sin.f32 normAngle)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i normAngle) (*.f32 u (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (+.f32 n0_i (*.f32 #s(literal -1 binary32) n1_i))) (sin.f32 normAngle)))))>
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#<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 n0_i (-.f32 #s(literal 1 binary32) u))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) 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 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 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 #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 n1_i u)>
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#<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 #s(literal 1/6 binary32) n1_i)>
#<alt (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))>
#<alt (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))>
#<alt (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))>
#<alt (*.f32 #s(literal 1/3 binary32) n0_i)>
#<alt (*.f32 n0_i (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 n1_i n0_i))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 n1_i n0_i))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 n1_i n0_i))))>
#<alt (*.f32 #s(literal 1/3 binary32) n0_i)>
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#<alt (*.f32 #s(literal 1/6 binary32) n1_i)>
#<alt (*.f32 n1_i (-.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 n0_i n1_i))) (*.f32 #s(literal -1/2 binary32) (/.f32 n0_i n1_i))))>
#<alt (*.f32 n1_i (-.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 n0_i n1_i))) (*.f32 #s(literal -1/2 binary32) (/.f32 n0_i n1_i))))>
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#<alt (*.f32 #s(literal 1/6 binary32) n1_i)>
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#<alt (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))))>
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#<alt (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n0_i)) (*.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))>
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#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n0_i)) (*.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))))>
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#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))))>
#<alt (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))) n1_i)))>
#<alt (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))) n1_i)) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))) n1_i)) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))) n1_i)) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<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)>
Calls

114 calls:

TimeVariablePointExpression
3.0ms
n1_i
@-inf
(- (* -1/6 n0_i) (+ (* -1/2 n0_i) (* -1/6 n1_i)))
3.0ms
n1_i
@0
(* n1_i (/ (* u normAngle) (sin normAngle)))
2.0ms
u
@-inf
(+ (* n0_i (- 1 u)) (* n1_i u))
1.0ms
normAngle
@0
(/ (* normAngle (+ (* n0_i (- 1 u)) (* n1_i u))) (sin normAngle))
1.0ms
normAngle
@0
(* (pow normAngle 2) (- (* -1/6 n0_i) (+ (* -1/2 n0_i) (* -1/6 n1_i))))

rewrite140.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
558×associate-*r*
384×associate-*l*
258×log1p-expm1-u
258×expm1-log1p-u
252×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039457
1617435
Stop Event
1×node limit
Counts
16 → 405
Calls
Call 1
Inputs
(pow.f32 normAngle #s(literal 2 binary32))
(*.f32 #s(literal -1/6 binary32) n0_i)
(*.f32 #s(literal -1/2 binary32) n0_i)
(*.f32 #s(literal -1/6 binary32) n1_i)
(*.f32 u n1_i)
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.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 n0_i (-.f32 #s(literal 1 binary32) 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 u (sin.f32 normAngle))) n1_i)
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
(/.f32 u (sin.f32 normAngle))
Outputs
(-.f32 (exp.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 normAngle normAngle)
(*.f32 #s(literal 1 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 normAngle #s(literal 4 binary32))))
(*.f32 (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)) (*.f32 (cbrt.f32 normAngle) normAngle))
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(log.f32 (exp.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))))
(cbrt.f32 (pow.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))))
(log1p.f32 (expm1.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))))
(exp.f32 (log.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))))
(exp.f32 (*.f32 (log.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))) #s(literal 1 binary32)))
(fma.f32 #s(literal -1/6 binary32) n0_i (neg.f32 (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 n0_i #s(literal -1/2 binary32)))))
(fma.f32 n0_i #s(literal -1/6 binary32) (neg.f32 (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 n0_i #s(literal -1/2 binary32)))))
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) n0_i) (neg.f32 (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 n0_i #s(literal -1/2 binary32)))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 #s(literal -1/6 binary32) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 #s(literal -1/6 binary32) n0_i)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 n0_i #s(literal -1/2 binary32)))))
(fma.f32 (sqrt.f32 (*.f32 #s(literal -1/6 binary32) n0_i)) (sqrt.f32 (*.f32 #s(literal -1/6 binary32) n0_i)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 n0_i #s(literal -1/2 binary32)))))
(+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 n0_i #s(literal -1/2 binary32))))))
(+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 n0_i #s(literal -1/2 binary32)))) (pow.f32 normAngle #s(literal 2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 normAngle (sqrt.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (pow.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 2 binary32))))
(log.f32 (pow.f32 (exp.f32 (pow.f32 normAngle #s(literal 2 binary32))) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 3 binary32)) (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))))
(exp.f32 (log.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))) #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 (cbrt.f32 (/.f32 u (sin.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 u (sin.f32 normAngle)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 u (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 u (sin.f32 normAngle))))
(*.f32 (pow.f32 (cbrt.f32 u) #s(literal 2 binary32)) (*.f32 (cbrt.f32 u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 u (sin.f32 normAngle))) (sqrt.f32 (/.f32 u (sin.f32 normAngle))))
(*.f32 (sqrt.f32 u) (*.f32 (sqrt.f32 u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (neg.f32 u) (/.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 u (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (sin.f32 normAngle))) (/.f32 u (sqrt.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)) (cbrt.f32 (pow.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) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 u) (cbrt.f32 (sin.f32 normAngle))))
(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 (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)))

simplify321.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1644×fma-define
762×distribute-lft-in
756×distribute-rgt-in
636×*-commutative
464×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114432863
1315630643
Stop Event
1×node limit
Counts
743 → 732
Calls
Call 1
Inputs
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.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 n1_i u)
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
u
(+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) u) (*.f32 #s(literal 1/120 binary32) u)))) (*.f32 #s(literal -1/6 binary32) u))))
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) u) (+.f32 (*.f32 #s(literal 1/720 binary32) u) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) u) (*.f32 #s(literal 1/120 binary32) u))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) u) (*.f32 #s(literal 1/120 binary32) u)))) (*.f32 #s(literal -1/6 binary32) u))))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.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 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 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (*.f32 #s(literal 1/120 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (+.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 (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 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (+.f32 (*.f32 #s(literal 1/720 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (*.f32 #s(literal 1/120 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (*.f32 #s(literal 1/120 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (*.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 (*.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 (*.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 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(*.f32 n0_i (+.f32 (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (sin.f32 normAngle))))
(*.f32 n0_i (+.f32 (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (sin.f32 normAngle))))
(*.f32 n0_i (+.f32 (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (sin.f32 normAngle))))
(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
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(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (sin.f32 normAngle))))))
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(fma.f32 (pow.f32 (cbrt.f32 (*.f32 #s(literal -1/6 binary32) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 #s(literal -1/6 binary32) n0_i)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 n0_i #s(literal -1/2 binary32)))))
(fma.f32 (sqrt.f32 (*.f32 #s(literal -1/6 binary32) n0_i)) (sqrt.f32 (*.f32 #s(literal -1/6 binary32) n0_i)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 n0_i #s(literal -1/2 binary32)))))
(+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 n0_i #s(literal -1/2 binary32))))))
(+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 n0_i #s(literal -1/2 binary32)))) (pow.f32 normAngle #s(literal 2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 normAngle (sqrt.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (pow.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 2 binary32))))
(log.f32 (pow.f32 (exp.f32 (pow.f32 normAngle #s(literal 2 binary32))) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 3 binary32)) (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))))
(exp.f32 (log.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))) #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 (cbrt.f32 (/.f32 u (sin.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 u (sin.f32 normAngle)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 u (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 u (sin.f32 normAngle))))
(*.f32 (pow.f32 (cbrt.f32 u) #s(literal 2 binary32)) (*.f32 (cbrt.f32 u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 u (sin.f32 normAngle))) (sqrt.f32 (/.f32 u (sin.f32 normAngle))))
(*.f32 (sqrt.f32 u) (*.f32 (sqrt.f32 u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (neg.f32 u) (/.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 u (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (sin.f32 normAngle))) (/.f32 u (sqrt.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)) (cbrt.f32 (pow.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) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 u) (cbrt.f32 (sin.f32 normAngle))))
(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 (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)))
Outputs
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 n1_i u)
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u))
(fma.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 n1_i u))
(fma.f32 n1_i u (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (neg.f32 (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u)) (*.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)))))
(fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (neg.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u) (fma.f32 #s(literal 1/720 binary32) (*.f32 n1_i u) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32))))))) (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (neg.f32 (pow.f32 normAngle #s(literal 2 binary32))) (+.f32 (*.f32 (*.f32 n1_i u) #s(literal 1/840 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u)) (*.f32 n1_i u))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
u
(+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))
(+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))))
(fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))) u u)
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(/.f32 u (sin.f32 normAngle))
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(/.f32 u (sin.f32 normAngle))
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eval334.0ms (2.2%)

Compiler

Compiled 19493 to 4043 computations (79.3% saved)

prune179.0ms (1.2%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New9548962
Fresh639
Picked415
Done022
Total96414978
Accuracy
100.0%
Counts
978 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))
▶99.2%
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
▶99.0%
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
74.1%
(/.f32 (*.f32 normAngle (*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))) (sin.f32 normAngle))
✓37.2%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
43.6%
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)))
85.6%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
98.8%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))
▶99.5%
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
▶99.1%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
✓44.4%
(*.f32 u n1_i)
▶43.6%
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))))
51.8%
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
✓42.7%
n0_i
Compiler

Compiled 357 to 238 computations (33.3% saved)

simplify97.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 u normAngle)
✓cost-diff128
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓cost-diff128
(/.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
✓cost-diff128
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓cost-diff64
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
✓cost-diff0
(-.f32 n1_i n0_i)
✓cost-diff0
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
✓cost-diff-3136
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
✓cost-diff0
(-.f32 n1_i n0_i)
✓cost-diff0
(*.f32 u (-.f32 n1_i n0_i))
cost-diff0
(*.f32 #s(literal -1/6 binary32) n1_i)
cost-diff0
(*.f32 #s(literal -1/2 binary32) n0_i)
cost-diff0
(*.f32 #s(literal -1/6 binary32) n0_i)
✓cost-diff0
(*.f32 normAngle normAngle)
Rules
1172×sub-neg
870×div-sub
646×associate-*r*
616×associate-+l-
612×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040790
185704
2213680
3536680
41575680
53991680
67078680
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
n0_i
(*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i))
u
(-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)
(+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))
n1_i
(*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
(*.f32 normAngle normAngle)
normAngle
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(*.f32 #s(literal -1/6 binary32) n0_i)
#s(literal -1/6 binary32)
(+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(*.f32 #s(literal -1/2 binary32) n0_i)
#s(literal -1/2 binary32)
(*.f32 #s(literal -1/6 binary32) n1_i)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
n0_i
(*.f32 u (-.f32 n1_i n0_i))
u
(-.f32 n1_i n0_i)
n1_i
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
u
(-.f32 n1_i n0_i)
n1_i
n0_i
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
n1_i
u
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))))
n1_i
(/.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 u normAngle)
u
normAngle
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))))) n0_i)))
(fma.f32 u (-.f32 (fma.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) n1_i) n0_i) n0_i)
(fma.f32 u (-.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n1_i) n0_i) n0_i)
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
n0_i
(*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i))
(*.f32 u (-.f32 (+.f32 n1_i (*.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))))) n0_i))
(*.f32 u (-.f32 (fma.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) n1_i) n0_i))
(*.f32 u (-.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n1_i) n0_i))
(*.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)))
(*.f32 u (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))
u
(-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)
(-.f32 (+.f32 n1_i (*.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))))) n0_i)
(-.f32 (fma.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) n1_i) n0_i)
(-.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n1_i) n0_i)
(fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i)
(+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))
(+.f32 n1_i (*.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))))))
(fma.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) n1_i)
(fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n1_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i)
n1_i
(*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
(*.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))))
(*.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))))
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 normAngle normAngle)
normAngle
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))
(-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(*.f32 #s(literal -1/6 binary32) n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))
(fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))
(*.f32 #s(literal -1/2 binary32) n0_i)
(*.f32 n0_i #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
(*.f32 #s(literal -1/6 binary32) n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
n0_i
(*.f32 u (-.f32 n1_i n0_i))
u
(-.f32 n1_i n0_i)
n1_i
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
u
(-.f32 n1_i n0_i)
n1_i
n0_i
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
n1_i
u
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 (*.f32 u n1_i) (sin.f32 normAngle)))
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
n1_i
(/.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(*.f32 u normAngle)
u
normAngle
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 normAngle)
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)

localize147.0ms (1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
✓accuracy99.9%
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))))
✓accuracy99.0%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy95.5%
(/.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
accuracy100.0%
(-.f32 #s(literal 1 binary32) u)
✓accuracy99.8%
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
accuracy99.6%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓accuracy100.0%
(-.f32 n1_i n0_i)
✓accuracy99.9%
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
✓accuracy100.0%
(-.f32 n1_i n0_i)
✓accuracy99.9%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
✓accuracy99.7%
(*.f32 u (-.f32 n1_i n0_i))
✓accuracy99.7%
(*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
accuracy99.1%
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
accuracy99.0%
(*.f32 #s(literal -1/6 binary32) n1_i)
accuracy99.0%
(*.f32 #s(literal -1/6 binary32) n0_i)
Results
92.0ms251×0valid
9.0ms4×5exit
1.0ms1×1valid
Compiler

Compiled 227 to 32 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 20.0ms (37.4% of total)
...c/correct-round.rkt:121:19: 7.0ms (13.1% of total)
ival-fma: 6.0ms (11.2% of total)
ival-div: 5.0ms (9.4% of total)
ival-sub: 5.0ms (9.4% of total)
ival-add: 5.0ms (9.4% of total)
ival-sin: 3.0ms (5.6% of total)
const: 1.0ms (1.9% of total)
backward-pass: 1.0ms (1.9% of total)

series76.0ms (0.5%)

Counts
10 → 270
Calls
Call 1
Inputs
#<alt (*.f32 normAngle normAngle)>
#<alt (*.f32 u (-.f32 n1_i n0_i))>
#<alt (-.f32 n1_i n0_i)>
#<alt (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))>
#<alt (fma.f32 u (-.f32 n1_i n0_i) n0_i)>
#<alt (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))>
#<alt (*.f32 n1_i (/.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))))>
#<alt (/.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))>
Outputs
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))>
#<alt (*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))>
#<alt (*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))>
#<alt (*.f32 n1_i u)>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))>
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#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt u>
#<alt (+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))>
#<alt (+.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))))>
#<alt (+.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))))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt normAngle>
#<alt (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (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)))))>
#<alt (*.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)))))>
#<alt (sin.f32 normAngle)>
#<alt (sin.f32 normAngle)>
#<alt (sin.f32 normAngle)>
#<alt (sin.f32 normAngle)>
#<alt (sin.f32 normAngle)>
#<alt (sin.f32 normAngle)>
#<alt (sin.f32 normAngle)>
#<alt (sin.f32 normAngle)>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n0_i)) (*.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n0_i)) (*.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n0_i)) (*.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n0_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n0_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n0_i)))))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))))>
#<alt (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))) n1_i)))>
#<alt (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))) n1_i)) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))) n1_i)) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))) n1_i)) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
Calls

72 calls:

TimeVariablePointExpression
50.0ms
u
@-inf
(* u (- n1_i n0_i))
5.0ms
n1_i
@0
(* (* normAngle normAngle) (- (* -1/6 n0_i) (+ (* -1/2 n0_i) (* -1/6 n1_i))))
0.0ms
u
@0
(* u (- n1_i n0_i))
0.0ms
n1_i
@-inf
(* u (- n1_i n0_i))
0.0ms
u
@inf
(* u (- n1_i n0_i))

rewrite230.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
469×log1p-expm1-u
466×associate-*r*
306×associate-*l*
251×expm1-log1p-u
248×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036252
1584241
27941241
Stop Event
1×node limit
Counts
10 → 285
Calls
Call 1
Inputs
(*.f32 normAngle normAngle)
(*.f32 u (-.f32 n1_i n0_i))
(-.f32 n1_i n0_i)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))))
(/.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 1 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(sqrt.f32 (pow.f32 normAngle #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 normAngle)))
(exp.f32 (*.f32 (log.f32 normAngle) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 normAngle)) #s(literal 1 binary32)))
(+.f32 (*.f32 u n1_i) (*.f32 u (neg.f32 n0_i)))
(+.f32 (*.f32 u n1_i) (*.f32 (neg.f32 n0_i) u))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u (-.f32 n1_i n0_i)))) #s(literal 1 binary32))
(/.f32 (*.f32 u (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))))
(/.f32 (*.f32 u (-.f32 (pow.f32 n1_i #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32)))) (+.f32 n1_i n0_i))
(/.f32 (*.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) u) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))))
(/.f32 (*.f32 (-.f32 (pow.f32 n1_i #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32))) u) (+.f32 n1_i n0_i))
(pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 u (-.f32 n1_i n0_i))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u (-.f32 n1_i n0_i))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) (-.f32 n1_i n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 u (-.f32 n1_i n0_i)))))
(cbrt.f32 (pow.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 u (-.f32 n1_i n0_i))))
(log1p.f32 (expm1.f32 (*.f32 u (-.f32 n1_i n0_i))))
(exp.f32 (log.f32 (*.f32 u (-.f32 n1_i n0_i))))
(exp.f32 (*.f32 (log.f32 (*.f32 u (-.f32 n1_i n0_i))) #s(literal 1 binary32)))
(+.f32 n1_i (neg.f32 n0_i))
(+.f32 n1_i (*.f32 (neg.f32 n0_i) #s(literal 1 binary32)))
(+.f32 (-.f32 n1_i n0_i) (fma.f32 (neg.f32 n0_i) #s(literal 1 binary32) n0_i))
(+.f32 (-.f32 n1_i n0_i) (fma.f32 (neg.f32 (cbrt.f32 n0_i)) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) n0_i))
(+.f32 (-.f32 n1_i n0_i) (fma.f32 (neg.f32 (sqrt.f32 n0_i)) (sqrt.f32 n0_i) n0_i))
(+.f32 (neg.f32 n0_i) n1_i)
(*.f32 (-.f32 n1_i n0_i) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 n1_i n0_i))
(*.f32 (cbrt.f32 (-.f32 n1_i n0_i)) (pow.f32 (cbrt.f32 (-.f32 n1_i n0_i)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (cbrt.f32 (-.f32 n1_i n0_i)))
(*.f32 (sqrt.f32 (-.f32 n1_i n0_i)) (sqrt.f32 (-.f32 n1_i n0_i)))
(*.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))))
(*.f32 (-.f32 (pow.f32 n1_i #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)))
(*.f32 (+.f32 (sqrt.f32 n1_i) (sqrt.f32 n0_i)) (-.f32 (sqrt.f32 n1_i) (sqrt.f32 n0_i)))
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(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)))))
(cbrt.f32 (pow.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i))))
(log1p.f32 (expm1.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i))))
(exp.f32 (log.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i))))
(exp.f32 (*.f32 (log.f32 (*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))) #s(literal 1 binary32))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(*.f32 normAngle (*.f32 u (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(*.f32 (*.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 normAngle u))
(*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (cbrt.f32 (pow.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 normAngle u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (pow.f32 (cbrt.f32 u) #s(literal 2 binary32)) (*.f32 (cbrt.f32 u) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle u) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (sqrt.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(*.f32 (sqrt.f32 (*.f32 normAngle u)) (/.f32 (sqrt.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (sqrt.f32 (*.f32 normAngle u)) (*.f32 (sqrt.f32 (*.f32 normAngle u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 u) (*.f32 (sqrt.f32 u) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 normAngle (neg.f32 u)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(*.f32 (/.f32 normAngle #s(literal 1 binary32)) (/.f32 u (sin.f32 normAngle)))
(*.f32 (/.f32 normAngle (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 u (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 normAngle (sqrt.f32 (sin.f32 normAngle))) (/.f32 u (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 u (sqrt.f32 (sin.f32 normAngle))) (/.f32 normAngle (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 u #s(literal 1 binary32)) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (/.f32 u (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 normAngle (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (*.f32 normAngle u) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (*.f32 normAngle u)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 normAngle u)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 normAngle u)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (*.f32 normAngle u)) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (*.f32 normAngle u) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (*.f32 normAngle u) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (*.f32 normAngle u) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(pow.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)) #s(literal -1 binary32))
(neg.f32 (/.f32 (*.f32 normAngle u) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (*.f32 normAngle (neg.f32 u)) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) (/.f32 normAngle (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 normAngle))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(*.f32 (sin.f32 normAngle) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 normAngle)))
(*.f32 (cbrt.f32 (sin.f32 normAngle)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 normAngle)))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) (/.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (sin.f32 normAngle)) (sqrt.f32 (sin.f32 normAngle)))
(*.f32 (sqrt.f32 (sin.f32 normAngle)) (/.f32 (sqrt.f32 (sin.f32 normAngle)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32))) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal -1 binary32))
(pow.f32 (sin.f32 normAngle) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))
(neg.f32 (neg.f32 (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 normAngle)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 normAngle))))
(cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32)))
(sin.f32 normAngle)
(expm1.f32 (log1p.f32 (sin.f32 normAngle)))
(log1p.f32 (expm1.f32 (sin.f32 normAngle)))
(exp.f32 (log.f32 (sin.f32 normAngle)))
(exp.f32 (*.f32 (neg.f32 (log.f32 (sin.f32 normAngle))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (sin.f32 normAngle)) #s(literal 1 binary32)))
(+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (neg.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))))))
(+.f32 (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 (neg.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))) (pow.f32 normAngle #s(literal 2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/216 binary32)) (pow.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 3 binary32)))) (+.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)) (*.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))))))
(/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)) (pow.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 2 binary32)))) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/216 binary32)) (pow.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 3 binary32))) (pow.f32 normAngle #s(literal 2 binary32))) (+.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)) (*.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)) (pow.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 2 binary32))) (pow.f32 normAngle #s(literal 2 binary32))) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))))
(pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 normAngle (sqrt.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (pow.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 4 binary32))))
(log.f32 (pow.f32 (exp.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) (pow.f32 normAngle #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 3 binary32)) (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))))
(exp.f32 (log.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))) #s(literal 1 binary32)))

simplify290.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1092×fma-neg
896×associate-*r*
856×associate-*l*
722×fma-define
634×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076820385
1196819114
2735119106
Stop Event
1×node limit
Counts
555 → 444
Calls
Call 1
Inputs
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(*.f32 n1_i u)
(*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 n1_i u)
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 n1_i u)
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i)))
(*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i)))
(*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i)))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))
(*.f32 #s(literal -1 binary32) n0_i)
n1_i
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
n1_i
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32))))
n1_i
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))
(*.f32 #s(literal -1 binary32) n0_i)
(*.f32 n0_i (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)))
(*.f32 n0_i (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)))
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(-.f32 (exp.f32 (log1p.f32 (sin.f32 normAngle))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(*.f32 (sin.f32 normAngle) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 normAngle)))
(*.f32 (cbrt.f32 (sin.f32 normAngle)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 normAngle)))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) (/.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (sin.f32 normAngle)) (sqrt.f32 (sin.f32 normAngle)))
(*.f32 (sqrt.f32 (sin.f32 normAngle)) (/.f32 (sqrt.f32 (sin.f32 normAngle)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32))) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal -1 binary32))
(pow.f32 (sin.f32 normAngle) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))
(neg.f32 (neg.f32 (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 normAngle)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 normAngle))))
(cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32)))
(sin.f32 normAngle)
(expm1.f32 (log1p.f32 (sin.f32 normAngle)))
(log1p.f32 (expm1.f32 (sin.f32 normAngle)))
(exp.f32 (log.f32 (sin.f32 normAngle)))
(exp.f32 (*.f32 (neg.f32 (log.f32 (sin.f32 normAngle))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (sin.f32 normAngle)) #s(literal 1 binary32)))
(+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (neg.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))))))
(+.f32 (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 (neg.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))) (pow.f32 normAngle #s(literal 2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/216 binary32)) (pow.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 3 binary32)))) (+.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)) (*.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))))))
(/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)) (pow.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 2 binary32)))) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/216 binary32)) (pow.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 3 binary32))) (pow.f32 normAngle #s(literal 2 binary32))) (+.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)) (*.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)) (pow.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 2 binary32))) (pow.f32 normAngle #s(literal 2 binary32))) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))))
(pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 normAngle (sqrt.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (pow.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 4 binary32))))
(log.f32 (pow.f32 (exp.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) (pow.f32 normAngle #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 3 binary32)) (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))))
(exp.f32 (log.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
Outputs
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(*.f32 u (neg.f32 n0_i))
(*.f32 n0_i (neg.f32 u))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
(*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 n1_i (+.f32 u (neg.f32 (*.f32 n0_i (/.f32 u n1_i)))))
(*.f32 n1_i (-.f32 u (*.f32 n0_i (/.f32 u n1_i))))
(*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 n1_i (+.f32 u (neg.f32 (*.f32 n0_i (/.f32 u n1_i)))))
(*.f32 n1_i (-.f32 u (*.f32 n0_i (/.f32 u n1_i))))
(*.f32 n1_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 n1_i (+.f32 u (neg.f32 (*.f32 n0_i (/.f32 u n1_i)))))
(*.f32 n1_i (-.f32 u (*.f32 n0_i (/.f32 u n1_i))))
(*.f32 n1_i u)
(*.f32 u n1_i)
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 (neg.f32 n1_i) (fma.f32 #s(literal -1 binary32) u (*.f32 n0_i (/.f32 u n1_i))))
(*.f32 (-.f32 (*.f32 n0_i (/.f32 u n1_i)) u) (neg.f32 n1_i))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 (neg.f32 n1_i) (fma.f32 #s(literal -1 binary32) u (*.f32 n0_i (/.f32 u n1_i))))
(*.f32 (-.f32 (*.f32 n0_i (/.f32 u n1_i)) u) (neg.f32 n1_i))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n0_i u) n1_i))))
(*.f32 (neg.f32 n1_i) (fma.f32 #s(literal -1 binary32) u (*.f32 n0_i (/.f32 u n1_i))))
(*.f32 (-.f32 (*.f32 n0_i (/.f32 u n1_i)) u) (neg.f32 n1_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (*.f32 n1_i u))
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(*.f32 u (neg.f32 n0_i))
(*.f32 n0_i (neg.f32 u))
(*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i)))
(*.f32 n0_i (fma.f32 #s(literal -1 binary32) u (*.f32 n1_i (/.f32 u n0_i))))
(*.f32 n0_i (-.f32 (*.f32 u (/.f32 n1_i n0_i)) u))
(*.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (neg.f32 u)))
(*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i)))
(*.f32 n0_i (fma.f32 #s(literal -1 binary32) u (*.f32 n1_i (/.f32 u n0_i))))
(*.f32 n0_i (-.f32 (*.f32 u (/.f32 n1_i n0_i)) u))
(*.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (neg.f32 u)))
(*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i u) n0_i)))
(*.f32 n0_i (fma.f32 #s(literal -1 binary32) u (*.f32 n1_i (/.f32 u n0_i))))
(*.f32 n0_i (-.f32 (*.f32 u (/.f32 n1_i n0_i)) u))
(*.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (neg.f32 u)))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(*.f32 u (neg.f32 n0_i))
(*.f32 n0_i (neg.f32 u))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))
(*.f32 (neg.f32 n0_i) (+.f32 u (neg.f32 (*.f32 n1_i (/.f32 u n0_i)))))
(*.f32 n0_i (neg.f32 (-.f32 u (*.f32 u (/.f32 n1_i n0_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))
(*.f32 (neg.f32 n0_i) (+.f32 u (neg.f32 (*.f32 n1_i (/.f32 u n0_i)))))
(*.f32 n0_i (neg.f32 (-.f32 u (*.f32 u (/.f32 n1_i n0_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))
(*.f32 (neg.f32 n0_i) (+.f32 u (neg.f32 (*.f32 n1_i (/.f32 u n0_i)))))
(*.f32 n0_i (neg.f32 (-.f32 u (*.f32 u (/.f32 n1_i n0_i)))))
(*.f32 #s(literal -1 binary32) n0_i)
(neg.f32 n0_i)
n1_i
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (/.f32 (neg.f32 n0_i) n1_i)))
(*.f32 n1_i (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i)))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (/.f32 (neg.f32 n0_i) n1_i)))
(*.f32 n1_i (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i)))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (/.f32 (neg.f32 n0_i) n1_i)))
(*.f32 n1_i (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i)))
n1_i
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32))))
(*.f32 (neg.f32 n1_i) (+.f32 (/.f32 n0_i n1_i) #s(literal -1 binary32)))
(*.f32 n1_i (neg.f32 (+.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32))))
(*.f32 (neg.f32 n1_i) (+.f32 (/.f32 n0_i n1_i) #s(literal -1 binary32)))
(*.f32 n1_i (neg.f32 (+.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32))))
(*.f32 (neg.f32 n1_i) (+.f32 (/.f32 n0_i n1_i) #s(literal -1 binary32)))
(*.f32 n1_i (neg.f32 (+.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i))))
n1_i
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))
(-.f32 n1_i n0_i)
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))
(-.f32 n1_i n0_i)
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))
(-.f32 n1_i n0_i)
(*.f32 #s(literal -1 binary32) n0_i)
(neg.f32 n0_i)
(*.f32 n0_i (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)))
(*.f32 n0_i (+.f32 (/.f32 n1_i n0_i) #s(literal -1 binary32)))
(*.f32 n0_i (+.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))
(*.f32 n0_i (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)))
(*.f32 n0_i (+.f32 (/.f32 n1_i n0_i) #s(literal -1 binary32)))
(*.f32 n0_i (+.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))
(*.f32 n0_i (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)))
(*.f32 n0_i (+.f32 (/.f32 n1_i n0_i) #s(literal -1 binary32)))
(*.f32 n0_i (+.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))
(*.f32 #s(literal -1 binary32) n0_i)
(neg.f32 n0_i)
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))))
(*.f32 (neg.f32 n0_i) (+.f32 #s(literal 1 binary32) (/.f32 (neg.f32 n1_i) n0_i)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)) (neg.f32 n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))))
(*.f32 (neg.f32 n0_i) (+.f32 #s(literal 1 binary32) (/.f32 (neg.f32 n1_i) n0_i)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)) (neg.f32 n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)))))
(*.f32 (neg.f32 n0_i) (+.f32 #s(literal 1 binary32) (/.f32 (neg.f32 n1_i) n0_i)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)) (neg.f32 n0_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (*.f32 n1_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
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(exp.f32 (*.f32 (log.f32 (sin.f32 normAngle)) #s(literal 1 binary32)))
(sin.f32 normAngle)
(+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (neg.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(+.f32 (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 (neg.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))) (pow.f32 normAngle #s(literal 2 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))))
(/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/216 binary32)) (pow.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 3 binary32)))) (+.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)) (*.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))))))
(/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/216 binary32)) (pow.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 3 binary32)))) (fma.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32) (*.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/216 binary32)) (pow.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 3 binary32))) (fma.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32))) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)))))
(/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)) (pow.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 2 binary32)))) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))))
(*.f32 (-.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)) (pow.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 2 binary32))) (/.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))))))
(*.f32 (-.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)) (pow.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 2 binary32))) (/.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32))))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/216 binary32)) (pow.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 3 binary32))) (pow.f32 normAngle #s(literal 2 binary32))) (+.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)) (*.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))))))
(/.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/216 binary32)) (pow.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 3 binary32)))) (fma.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32) (*.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/216 binary32)) (pow.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 3 binary32))) (fma.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32))) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)) (pow.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 2 binary32))) (pow.f32 normAngle #s(literal 2 binary32))) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))))
(*.f32 (-.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)) (pow.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 2 binary32))) (/.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))))))
(*.f32 (-.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)) (pow.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 2 binary32))) (/.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32))))))
(pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))) #s(literal 3 binary32))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(pow.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(pow.f32 (*.f32 normAngle (sqrt.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))) #s(literal 2 binary32))
(pow.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (pow.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 4 binary32))))
(sqrt.f32 (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (pow.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 2 binary32))))
(sqrt.f32 (*.f32 (pow.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 4 binary32))))
(log.f32 (pow.f32 (exp.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) (pow.f32 normAngle #s(literal 2 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) #s(literal 3 binary32)))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 3 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 3 binary32)) (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(exp.f32 (log.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))

eval77.0ms (0.5%)

Compiler

Compiled 13322 to 3314 computations (75.1% saved)

prune162.0ms (1.1%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New75412766
Fresh336
Picked415
Done033
Total76119780
Accuracy
100.0%
Counts
780 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓37.2%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
43.6%
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)))
98.8%
(+.f32 (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
85.6%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
99.5%
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)))
99.2%
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)))
✓99.1%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
51.8%
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
85.8%
(+.f32 n0_i (*.f32 u n1_i))
99.1%
(+.f32 n0_i (*.f32 n1_i (-.f32 u (*.f32 n0_i (/.f32 u n1_i)))))
98.7%
(+.f32 n0_i (*.f32 n0_i (-.f32 (*.f32 u (/.f32 n1_i n0_i)) u)))
98.5%
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
✓44.4%
(*.f32 u n1_i)
98.6%
(*.f32 n1_i (+.f32 u (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))))
51.8%
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
98.7%
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u))
51.7%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
98.5%
(*.f32 n0_i (+.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 u n0_i))))
✓42.7%
n0_i
Compiler

Compiled 960 to 344 computations (64.2% saved)

regimes80.0ms (0.5%)

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

5 calls:

17.0ms
u
17.0ms
n1_i
16.0ms
n0_i
14.0ms
(+.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))
13.0ms
normAngle
Results
AccuracySegmentsBranch
99.5%1normAngle
99.5%1u
99.5%1n0_i
99.5%1n1_i
99.5%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)

regimes30.0ms (0.2%)

Counts
17 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))
(+.f32 (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (+.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 u n0_i))))
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u))
(*.f32 n1_i (+.f32 u (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))))
(+.f32 n0_i (*.f32 n0_i (-.f32 (*.f32 u (/.f32 n1_i n0_i)) u)))
(+.f32 n0_i (*.f32 n1_i (-.f32 u (*.f32 n0_i (/.f32 u n1_i)))))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)))
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)))
Calls

4 calls:

9.0ms
normAngle
8.0ms
n1_i
5.0ms
n0_i
5.0ms
u
Results
AccuracySegmentsBranch
99.5%1normAngle
99.5%1u
99.5%1n0_i
99.5%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes24.0ms (0.2%)

Counts
16 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))
(+.f32 (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (+.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 u n0_i))))
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u))
(*.f32 n1_i (+.f32 u (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))))
(+.f32 n0_i (*.f32 n0_i (-.f32 (*.f32 u (/.f32 n1_i n0_i)) u)))
(+.f32 n0_i (*.f32 n1_i (-.f32 u (*.f32 n0_i (/.f32 u n1_i)))))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)))
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)))
Calls

4 calls:

8.0ms
u
5.0ms
n1_i
5.0ms
normAngle
5.0ms
n0_i
Results
AccuracySegmentsBranch
99.2%1normAngle
99.2%1u
99.2%1n0_i
99.2%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes23.0ms (0.1%)

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

4 calls:

8.0ms
n0_i
5.0ms
u
5.0ms
normAngle
5.0ms
n1_i
Results
AccuracySegmentsBranch
99.1%1normAngle
99.1%1u
99.1%1n0_i
99.1%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes12.0ms (0.1%)

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

4 calls:

4.0ms
n0_i
2.0ms
normAngle
2.0ms
u
2.0ms
n1_i
Results
AccuracySegmentsBranch
85.8%1normAngle
85.8%1u
85.8%1n0_i
85.8%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes15.0ms (0.1%)

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

9.0ms
normAngle
2.0ms
u
2.0ms
n1_i
2.0ms
n0_i
Results
AccuracySegmentsBranch
51.7%1normAngle
57.3%2u
71.7%3n1_i
73.7%3n0_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

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

2 calls:

2.0ms
n0_i
1.0ms
n1_i
Results
AccuracySegmentsBranch
65.6%3n1_i
66.1%3n0_i
Compiler

Compiled 10 to 8 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

4 calls:

1.0ms
normAngle
1.0ms
n1_i
1.0ms
n0_i
1.0ms
u
Results
AccuracySegmentsBranch
42.7%1normAngle
42.7%1u
42.7%1n1_i
42.7%1n0_i
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.262961869146536e-14
1.414503263190382e-14
0.0ms
-1.555869277894796e-21
-7.963384483218421e-22
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
1.262961869146536e-14
1.414503263190382e-14
0.0ms
-1.555869277894796e-21
-7.963384483218421e-22
Compiler

Compiled 36 to 23 computations (36.1% saved)

simplify82.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
46×+-commutative
44×*-commutative
28×sub-neg
16×neg-sub0
16×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057387
1101387
2118387
3141387
4154387
5162387
6165387
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 n0_i (*.f32 u n1_i))
(if (<=.f32 n0_i #s(literal -309485/309485009821345068724781056 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 16528283/1180591620717411303424 binary32)) (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(if (<=.f32 n0_i #s(literal -309485/309485009821345068724781056 binary32)) n0_i (if (<=.f32 n0_i #s(literal 16528283/1180591620717411303424 binary32)) (*.f32 u n1_i) n0_i))
n0_i
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 n0_i (*.f32 u n1_i))
(if (<=.f32 n0_i #s(literal -309485/309485009821345068724781056 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 16528283/1180591620717411303424 binary32)) (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(if (or (<=.f32 n0_i #s(literal -309485/309485009821345068724781056 binary32)) (not (<=.f32 n0_i #s(literal 16528283/1180591620717411303424 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))
(if (<=.f32 n0_i #s(literal -309485/309485009821345068724781056 binary32)) n0_i (if (<=.f32 n0_i #s(literal 16528283/1180591620717411303424 binary32)) (*.f32 u n1_i) n0_i))
n0_i

soundness2.5s (16.2%)

Rules
1644×fma-define
1510×fma-neg
1168×times-frac
1092×fma-neg
1090×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039457
1617435
0114432863
1315630643
0130848531
1387446794
076820385
1196819114
2735119106
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 906 to 276 computations (69.5% saved)

preprocess45.0ms (0.3%)

Remove

(abs normAngle)

Compiler

Compiled 474 to 266 computations (43.9% saved)

end0.0ms (0%)

Profiling

Loading profile data...