Curve intersection, scale width based on ribbon orientation

Time bar (total: 15.0s)

analyze477.0ms (3.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.8%99.2%0%0%0%0
0%0%0.8%99.2%0%0%0%1
0%0%0.8%99.2%0%0%0%2
0%0%0.8%99.2%0%0%0%3
0%0%0.8%99.2%0%0%0%4
0%0%0.8%99.2%0%0%0%5
33.3%0.2%0.4%99.4%0%0%0%6
33.3%0.2%0.4%99.4%0%0%0%7
33.3%0.2%0.4%99.4%0%0%0%8
33.3%0.2%0.4%99.4%0%0%0%9
60%0.3%0.2%99.5%0%0%0%10
60%0.3%0.2%99.5%0%0%0%11
60%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: 367.0ms
ival-<=: 187.0ms (51% of total)
ival-sin: 65.0ms (17.7% of total)
ival-mult: 63.0ms (17.2% of total)
ival-div: 16.0ms (4.4% of total)
ival-add: 9.0ms (2.5% of total)
ival-sub: 9.0ms (2.5% of total)
ival-and: 8.0ms (2.2% of total)
ival-pi: 6.0ms (1.6% of total)
const: 3.0ms (0.8% of total)
backward-pass: 1.0ms (0.3% of total)

sample4.1s (27.1%)

Results
2.4s8256×0valid
666.0ms1985×0precondition
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-sin: 750.0ms (29.9% of total)
ival-<=: 745.0ms (29.7% of total)
ival-mult: 418.0ms (16.7% of total)
ival-div: 172.0ms (6.9% of total)
ival-sub: 155.0ms (6.2% of total)
ival-pi: 106.0ms (4.2% of total)
ival-and: 69.0ms (2.8% of total)
ival-add: 61.0ms (2.4% of total)
const: 28.0ms (1.1% of total)
backward-pass: 5.0ms (0.2% of total)
Bogosity

preprocess134.0ms (0.9%)

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)

explain469.0ms (3.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
250-24(1.5282512006480204e-38 0.011920752935111523 -8.193952597135125e-21 -5.043157750953107e-36)(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
00-0-(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
00-0-(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
00-0-(sin.f32 (*.f32 u normAngle))
00-0-(sin.f32 normAngle)
00-0-u
00-0-#s(literal 1 binary32)
00-0-(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
00-0-(-.f32 #s(literal 1 binary32) u)
00-0-normAngle
00-0-n0_i
00-0-(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
00-0-(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
00-0-n1_i
00-0-(*.f32 u normAngle)
00-0-(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
00-0-(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
Results
393.0ms506×0valid
4.0ms6×5exit
Compiler

Compiled 241 to 53 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 357.0ms
ival-div: 267.0ms (74.7% of total)
ival-sin: 63.0ms (17.6% of total)
ival-mult: 20.0ms (5.6% of total)
ival-add: 3.0ms (0.8% of total)
ival-sub: 3.0ms (0.8% of total)
backward-pass: 1.0ms (0.3% of total)
const: 1.0ms (0.3% 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
▶97.8%
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
▶97.3%
(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)))
▶75.2%
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
▶97.4%
(+.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)

localize385.0ms (2.6%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓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-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))
✓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)))
✓accuracy95.8%
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
✓accuracy95.3%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy76.0%
(/.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))
✓accuracy75.8%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
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
Results
143.0ms253×0valid
5.0ms3×5exit
Compiler

Compiled 409 to 31 computations (92.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 61.0ms (68.5% of total)
ival-fma: 8.0ms (9% of total)
ival-div: 7.0ms (7.9% of total)
ival-sin: 7.0ms (7.9% of total)
ival-add: 2.0ms (2.2% of total)
backward-pass: 2.0ms (2.2% of total)
ival-sub: 2.0ms (2.2% of total)
const: 0.0ms (0% of total)

series75.0ms (0.5%)

Counts
8 → 324
Calls
Call 1
Inputs
#<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 (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)))>
#<alt (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))>
#<alt (fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))>
#<alt (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 (*.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)>
Outputs
#<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 #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 (*.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 (*.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 #s(literal -1/6 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 (*.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 (*.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 (*.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 #s(literal -1/6 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 -1/5040 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (*.f32 #s(literal 1/120 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 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))))))))) (+.f32 (*.f32 #s(literal -1/6 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 #s(literal -1/6 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 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.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)))) (*.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)))) (*.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)))) (*.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)))) (*.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)))) (*.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)))) (*.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)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))>
#<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)))) (*.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)))) (*.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)))) (*.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)))) (*.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))))) (*.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))))) (*.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))))) (*.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))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (+.f32 (/.f32 (*.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 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (+.f32 (/.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)))>
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#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
Calls

81 calls:

TimeVariablePointExpression
5.0ms
normAngle
@0
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* u normAngle)) (* (/ 1 (sin normAngle)) n1_i)))
4.0ms
u
@0
(* (/ 1 (sin normAngle)) (+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)))
3.0ms
normAngle
@0
(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
3.0ms
normAngle
@0
(* (/ 1 (sin normAngle)) (+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)))
2.0ms
u
@-inf
(* (/ 1 (sin normAngle)) (+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)))

rewrite909.0ms (6.1%)

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: 0 (0.0ms)

IterNodesCost
039465
1653465
27582465
Stop Event
1×node limit
Counts
8 → 480
Calls
Call 1
Inputs
(*.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 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(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 (*.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)
Outputs
(+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))))
(/.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 3 binary32))) (*.f32 (sin.f32 normAngle) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 2 binary32))) (*.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 (*.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 3 binary32)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 2 binary32)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))) (sin.f32 normAngle)))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 3 binary32))) #s(literal -1 binary32)) (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))) (neg.f32 (sin.f32 normAngle))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (sin.f32 normAngle)))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 2 binary32))) #s(literal -1 binary32)) (*.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (neg.f32 (sin.f32 normAngle))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))) (neg.f32 (neg.f32 (sin.f32 normAngle))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))))))
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(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 2 binary32)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))) (sin.f32 normAngle)))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 3 binary32))) #s(literal -1 binary32)) (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))) (neg.f32 (sin.f32 normAngle))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (sin.f32 normAngle)))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 2 binary32))) #s(literal -1 binary32)) (*.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (neg.f32 (sin.f32 normAngle))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))) (neg.f32 (neg.f32 (sin.f32 normAngle))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 3 binary32)))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 2 binary32)))) (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))
(/.f32 (*.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (sin.f32 normAngle)))
(pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) #s(literal -1 binary32))
(neg.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) 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 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) 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 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) 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 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.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 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))) #s(literal 1 binary32))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 1 binary32)))
(exp.f32 (+.f32 (neg.f32 (log.f32 (sin.f32 normAngle))) (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))
(exp.f32 (+.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (neg.f32 (log.f32 (sin.f32 normAngle)))))

simplify1.1s (7.6%)

Algorithm
1×egg-herbie
Rules
1386×fma-neg
988×fma-define
810×associate-*r*
742×associate-*l*
684×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068077432
1187475813
2715775813
Stop Event
1×node limit
Counts
804 → 315
Calls
Call 1
Inputs
(+.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 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))))
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n0_i
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle 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))
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))
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(/.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 (sin.f32 (*.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 (sin.f32 (*.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 (sin.f32 (*.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))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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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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n0_i
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(pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) #s(literal -1 binary32))
(neg.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) 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 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) 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 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) 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 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.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 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))) #s(literal 1 binary32))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 1 binary32)))
(exp.f32 (+.f32 (neg.f32 (log.f32 (sin.f32 normAngle))) (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))
(exp.f32 (+.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (neg.f32 (log.f32 (sin.f32 normAngle)))))
Outputs
(+.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 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.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 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.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)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) (*.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 (*.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 #s(literal -1/6 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)))))))
(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 (*.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 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) #s(literal 1/120 binary32))))))) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1/6 binary32) (fma.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 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.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 (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) (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.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)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))))) (*.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) #s(literal 1/6 binary32))) (*.f32 u n1_i)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (fma.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))))) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.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 (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) (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.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)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))) (*.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) #s(literal 1/6 binary32)))) (*.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 (*.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 (*.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 (*.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 #s(literal -1/6 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 -1/5040 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (*.f32 #s(literal 1/120 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 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))))))))) (+.f32 (*.f32 #s(literal -1/6 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 #s(literal -1/6 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)))))))
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n0_i
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(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (sin.f32 normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (neg.f32 (sin.f32 normAngle)))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (neg.f32 (sin.f32 normAngle)))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i) (neg.f32 (sin.f32 normAngle)))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 3 binary32))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 2 binary32))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)))
(fabs.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle))))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32)))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32)))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))
(expm1.f32 (log1p.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 1 binary32)))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(exp.f32 (+.f32 (neg.f32 (log.f32 (sin.f32 normAngle))) (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(exp.f32 (+.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (neg.f32 (log.f32 (sin.f32 normAngle)))))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))

eval40.0ms (0.3%)

Compiler

Compiled 12625 to 1417 computations (88.8% saved)

prune125.0ms (0.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New30015315
Fresh000
Picked415
Done000
Total30416320
Accuracy
100.0%
Counts
320 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
▶99.6%
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) n0_i)
98.6%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
75.2%
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
29.1%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
50.8%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
84.1%
(+.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 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 1 binary32)) n1_i))
98.4%
(+.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))
97.5%
(+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
99.4%
(+.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 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))))
▶97.5%
(+.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))
98.6%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
▶89.7%
(+.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)))))
✓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)))
▶35.5%
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
▶50.5%
n0_i
Compiler

Compiled 646 to 412 computations (36.2% saved)

localize568.0ms (3.8%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff3328
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
✓cost-diff3328
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) n0_i)
✓cost-diff3392
(+.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)))
✓cost-diff3392
(*.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))))
accuracy95.8%
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
accuracy95.3%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy67.1%
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
✓accuracy65.8%
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
Rules
1510×fma-define
1162×unsub-neg
728×fma-neg
642×cancel-sign-sub-inv
586×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0421087
11001081
22371036
3662971
41868971
53665971
65160971
76262971
87421971
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) n0_i)
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 normAngle (cos.f32 normAngle))
(cos.f32 normAngle)
(/.f32 n0_i (sin.f32 normAngle))
n0_i
n0_i
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
n1_i
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i
(+.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)))))
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))))
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 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
#s(literal -1 binary32)
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))
(*.f32 normAngle (cos.f32 normAngle))
normAngle
(cos.f32 normAngle)
(sin.f32 normAngle)
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i normAngle)
n1_i
Outputs
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) n0_i)
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 normAngle (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle))))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle))))) n0_i)
(fma.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i))) n0_i)
(fma.f32 normAngle (*.f32 (/.f32 u (sin.f32 normAngle)) (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i))) n0_i)
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 normAngle (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)))
(*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 normAngle (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle))))
(*.f32 (cos.f32 normAngle) (*.f32 normAngle (/.f32 n0_i (sin.f32 normAngle))))
(*.f32 normAngle (cos.f32 normAngle))
(cos.f32 normAngle)
(/.f32 n0_i (sin.f32 normAngle))
n0_i
n0_i
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
n1_i
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (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)
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n1_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 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 normAngle (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle))))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle))))) n0_i)
(fma.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i))) n0_i)
(fma.f32 normAngle (*.f32 (/.f32 u (sin.f32 normAngle)) (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i))) n0_i)
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 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 normAngle (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle))))))
(*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle))))))
(*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i))))
(*.f32 normAngle (*.f32 (/.f32 u (sin.f32 normAngle)) (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i))))
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 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 normAngle (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)))
(*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(neg.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 normAngle (neg.f32 (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 normAngle (*.f32 (cos.f32 normAngle) (neg.f32 (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 normAngle (*.f32 n0_i (/.f32 (cos.f32 normAngle) (neg.f32 (sin.f32 normAngle)))))
#s(literal -1 binary32)
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(*.f32 normAngle (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle))))
(*.f32 (cos.f32 normAngle) (*.f32 normAngle (/.f32 n0_i (sin.f32 normAngle))))
(*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))
(*.f32 (*.f32 normAngle (cos.f32 normAngle)) n0_i)
(*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))
(*.f32 normAngle (*.f32 (cos.f32 normAngle) n0_i))
(*.f32 normAngle (cos.f32 normAngle))
normAngle
(cos.f32 normAngle)
(sin.f32 normAngle)
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 n1_i normAngle)
n1_i
Results
347.0ms256×0valid
Compiler

Compiled 275 to 34 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-mult: 131.0ms (67.7% of total)
ival-sub: 33.0ms (17.1% of total)
ival-div: 14.0ms (7.2% of total)
ival-sin: 6.0ms (3.1% of total)
ival-add: 4.0ms (2.1% of total)
ival-fma: 3.0ms (1.6% of total)
ival-cos: 3.0ms (1.6% of total)
const: 1.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

series54.0ms (0.4%)

Counts
6 → 158
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (*.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 (*.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 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) n0_i)>
#<alt (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))>
Outputs
#<alt n1_i>
#<alt (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt n0_i>
#<alt (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))))>
#<alt (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i))))) (*.f32 #s(literal -1/6 binary32) n0_i))))>
#<alt (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i))))) (*.f32 #s(literal -1/6 binary32) n0_i))))>
#<alt (/.f32 (*.f32 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 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))>
#<alt (+.f32 (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i)))))>
#<alt (+.f32 (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 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 -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))))))>
#<alt (+.f32 (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal -1 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 -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 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 -1/5040 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 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n1_i (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 (*.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 (*.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 (*.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 (*.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))))>
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#<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 (*.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 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 (*.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))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (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 normAngle) (*.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (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 normAngle) (*.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (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 normAngle) (*.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))))>
Calls

54 calls:

TimeVariablePointExpression
7.0ms
normAngle
@inf
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
5.0ms
u
@0
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
2.0ms
normAngle
@0
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
2.0ms
n0_i
@0
(/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))
1.0ms
normAngle
@-inf
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))

rewrite285.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
750×log1p-expm1-u
460×associate-*r*
328×associate-*l*
222×times-frac
193×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030368
1493316
26978316
Stop Event
1×node limit
Counts
6 → 385
Calls
Call 1
Inputs
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(*.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 (*.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 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) n0_i)
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) #s(literal 1 binary32))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 normAngle (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 normAngle (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
(*.f32 (*.f32 n1_i normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 1 binary32))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)
(*.f32 #s(literal 1 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (/.f32 normAngle (sin.f32 normAngle))) n1_i))
(*.f32 (cbrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (pow.f32 (cbrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i normAngle)) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (*.f32 n1_i normAngle)) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i normAngle)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 n1_i normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (pow.f32 (cbrt.f32 n1_i) #s(literal 2 binary32)) (*.f32 (cbrt.f32 n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (sqrt.f32 (/.f32 normAngle (sin.f32 normAngle))) n1_i))
(*.f32 (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(*.f32 (sqrt.f32 (*.f32 n1_i normAngle)) (/.f32 (sqrt.f32 (*.f32 n1_i normAngle)) (sin.f32 normAngle)))
(*.f32 (sqrt.f32 (*.f32 n1_i normAngle)) (*.f32 (sqrt.f32 (*.f32 n1_i normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 n1_i) (*.f32 (sqrt.f32 n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 n1_i (neg.f32 normAngle)) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n1_i normAngle))
(*.f32 (/.f32 normAngle #s(literal 1 binary32)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (/.f32 normAngle (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 n1_i (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 normAngle (sqrt.f32 (sin.f32 normAngle))) (/.f32 n1_i (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (*.f32 n1_i normAngle) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 n1_i #s(literal 1 binary32)) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 normAngle (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 n1_i (sqrt.f32 (sin.f32 normAngle))) (/.f32 normAngle (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i normAngle)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 n1_i normAngle)) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i normAngle)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i normAngle)) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (*.f32 n1_i normAngle)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 n1_i normAngle)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 n1_i normAngle)) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 n1_i normAngle)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (*.f32 n1_i normAngle)) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 n1_i (pow.f32 (cbrt.f32 (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 n1_i (sqrt.f32 (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (pow.f32 (cbrt.f32 n1_i) #s(literal 2 binary32))) (cbrt.f32 n1_i))
(*.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (sqrt.f32 n1_i)) (sqrt.f32 n1_i))
(pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) normAngle) n1_i) #s(literal -1 binary32))
(neg.f32 (/.f32 (*.f32 n1_i normAngle) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (*.f32 n1_i (neg.f32 normAngle)) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
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(/.f32 (*.f32 u (-.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (*.f32 n1_i normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 u (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32))) u) (+.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32))) u) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) u) (/.f32 (-.f32 (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (*.f32 n1_i normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) u) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))
(pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))) #s(literal 1 binary32)))
(fma.f32 u (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) u))
(fma.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) u (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) u))
(-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))
(-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (-.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))) (/.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))))
(-.f32 (/.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (*.f32 n1_i normAngle)) (sin.f32 normAngle))) (/.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (*.f32 n1_i normAngle)) (sin.f32 normAngle))))
(-.f32 (/.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) (/.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(*.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))
(*.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) (pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(*.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(*.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))))
(*.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))))
(*.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (*.f32 n1_i normAngle)) (sin.f32 normAngle))))
(*.f32 (+.f32 (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))) (-.f32 (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))) (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (*.f32 n1_i normAngle)) (sin.f32 normAngle)) (-.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32))))
(/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))
(/.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))))
(/.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (*.f32 n1_i normAngle)) (sin.f32 normAngle)))
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(/.f32 (-.f32 (*.f32 n1_i (neg.f32 normAngle)) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle)))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (+.f32 (*.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))
(/.f32 (+.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 (sin.f32 normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)))) (sin.f32 normAngle)) (*.f32 (sin.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)))))
(/.f32 (+.f32 (*.f32 (*.f32 n1_i normAngle) (neg.f32 (sin.f32 normAngle))) (*.f32 (sin.f32 normAngle) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))))) (*.f32 (sin.f32 normAngle) (neg.f32 (sin.f32 normAngle))))
(/.f32 (+.f32 (sin.f32 normAngle) (*.f32 (/.f32 (/.f32 (sin.f32 normAngle) normAngle) n1_i) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)))) (*.f32 (/.f32 (/.f32 (sin.f32 normAngle) normAngle) n1_i) (sin.f32 normAngle)))
(/.f32 (+.f32 (/.f32 (sin.f32 normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (*.f32 (/.f32 (/.f32 (sin.f32 normAngle) normAngle) n1_i) #s(literal 1 binary32))) (*.f32 (/.f32 (/.f32 (sin.f32 normAngle) normAngle) n1_i) (/.f32 (sin.f32 normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)))))
(/.f32 (+.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (/.f32 (/.f32 (sin.f32 normAngle) normAngle) n1_i) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))))) (*.f32 (/.f32 (/.f32 (sin.f32 normAngle) normAngle) n1_i) (neg.f32 (sin.f32 normAngle))))
(/.f32 (+.f32 (*.f32 (*.f32 n1_i (neg.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 normAngle)))
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(/.f32 (-.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (/.f32 (/.f32 (sin.f32 normAngle) normAngle) n1_i) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))))) (*.f32 (/.f32 (/.f32 (sin.f32 normAngle) normAngle) n1_i) (neg.f32 (sin.f32 normAngle))))
(/.f32 (-.f32 (*.f32 (*.f32 n1_i (neg.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (-.f32 (*.f32 (*.f32 n1_i (neg.f32 normAngle)) (/.f32 (sin.f32 normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)))) (*.f32 (neg.f32 (sin.f32 normAngle)) #s(literal 1 binary32))) (*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (sin.f32 normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)))))
(/.f32 (-.f32 (*.f32 (*.f32 n1_i (neg.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))))) (*.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (/.f32 (-.f32 (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (*.f32 n1_i normAngle)) (sin.f32 normAngle))))
(/.f32 (neg.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32))) (neg.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(/.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (-.f32 (*.f32 (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))) (*.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))) (-.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))))
(pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 1 binary32)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))
(fma.f32 (*.f32 n1_i normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal -1 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))
(fma.f32 #s(literal 1 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))

simplify746.0ms (5%)

Algorithm
1×egg-herbie
Rules
720×associate-*r/
700×times-frac
596×associate-*l/
596×*-commutative
560×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095845180
1284541280
Stop Event
1×node limit
Counts
543 → 553
Calls
Call 1
Inputs
n1_i
(+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 #s(literal -1/6 binary32) n1_i))))
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 #s(literal -1/6 binary32) n1_i))))
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))))
(+.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))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))
(*.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)))))
(*.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)))))
(*.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)))))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))
(*.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)))))
(*.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)))))
(*.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)))))
(*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))
(+.f32 (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i)))))
(+.f32 (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 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 -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))))))
(+.f32 (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal -1 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 -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 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 -1/5040 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 normAngle (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))))
(*.f32 normAngle (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))))
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n0_i
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(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32))) u) (+.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32))) u) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) u) (/.f32 (-.f32 (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (*.f32 n1_i normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) u) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))
(pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))) #s(literal 1 binary32)))
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(fma.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) u (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) u))
(-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))
(-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (-.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))) #s(literal 1 binary32))
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(-.f32 (/.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (*.f32 n1_i normAngle)) (sin.f32 normAngle))) (/.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (*.f32 n1_i normAngle)) (sin.f32 normAngle))))
(-.f32 (/.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) (/.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(*.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 1 binary32))
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(*.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
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(*.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))))
(*.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (*.f32 n1_i normAngle)) (sin.f32 normAngle))))
(*.f32 (+.f32 (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))) (-.f32 (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))) (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (*.f32 n1_i normAngle)) (sin.f32 normAngle)) (-.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32))))
(/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))
(/.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))))
(/.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))))
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(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(/.f32 (-.f32 (*.f32 n1_i (neg.f32 normAngle)) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle)))) (neg.f32 (sin.f32 normAngle)))
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(/.f32 (+.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 (sin.f32 normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)))) (sin.f32 normAngle)) (*.f32 (sin.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)))))
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(/.f32 (-.f32 (*.f32 (*.f32 n1_i (neg.f32 normAngle)) (/.f32 (sin.f32 normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)))) (*.f32 (neg.f32 (sin.f32 normAngle)) #s(literal 1 binary32))) (*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (sin.f32 normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)))))
(/.f32 (-.f32 (*.f32 (*.f32 n1_i (neg.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))))) (*.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (/.f32 (-.f32 (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (*.f32 n1_i normAngle)) (sin.f32 normAngle))))
(/.f32 (neg.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32))) (neg.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(/.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (-.f32 (*.f32 (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))) (*.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))) (-.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))))
(pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 1 binary32)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))
(fma.f32 (*.f32 n1_i normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal -1 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))
(fma.f32 #s(literal 1 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
Outputs
n1_i
(+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))
(+.f32 n1_i (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (pow.f32 normAngle #s(literal 2 binary32))))
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 #s(literal -1/6 binary32) n1_i))))
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 #s(literal 1/6 binary32) n1_i))))
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 #s(literal -1/6 binary32) n1_i))))
(+.f32 n1_i (*.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) n1_i (fma.f32 #s(literal 1/720 binary32) n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i #s(literal -7/360 binary32))))))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 #s(literal 1/6 binary32) n1_i))))
(+.f32 n1_i (*.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 n1_i #s(literal 1/840 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))
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 n0_i #s(literal -1/3 binary32))))
(+.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))))
(+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/3 binary32)) (*.f32 #s(literal 1/120 binary32) n0_i))))) (*.f32 #s(literal 1/6 binary32) n0_i))))
(+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/3 binary32)) (*.f32 #s(literal 1/120 binary32) n0_i)))) (*.f32 n0_i #s(literal -1/3 binary32)))))
(+.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))))
(+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/24 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/3 binary32)) (*.f32 #s(literal 1/120 binary32) n0_i))) (fma.f32 #s(literal -1/5040 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i #s(literal -1/3 binary32)))))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/3 binary32)) (*.f32 #s(literal 1/120 binary32) n0_i))))) (*.f32 #s(literal 1/6 binary32) n0_i))))
(+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/24 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/3 binary32)) (*.f32 #s(literal 1/120 binary32) n0_i))) (fma.f32 #s(literal -1/5040 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i #s(literal -1/3 binary32)))))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/3 binary32)) (*.f32 #s(literal 1/120 binary32) n0_i)))) (*.f32 n0_i #s(literal -1/3 binary32)))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle)))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (sin.f32 normAngle))))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle)))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (sin.f32 normAngle))))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle)))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))
(neg.f32 (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(*.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)))))
(*.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 (/.f32 n1_i n0_i) (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))
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n0_i
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(/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle)))
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(fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) n0_i)
(fma.f32 u (/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle))) n0_i)
(cbrt.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)))
(fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) n0_i)
(fma.f32 u (/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle))) n0_i)
(expm1.f32 (log1p.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) n0_i)))
(expm1.f32 (log1p.f32 (fma.f32 u (/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle))) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) n0_i)))
(fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) n0_i)
(fma.f32 u (/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle))) n0_i)
(exp.f32 (log.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) n0_i)))
(fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) n0_i)
(fma.f32 u (/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle))) n0_i)
(exp.f32 (*.f32 (log.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) n0_i)) #s(literal 1 binary32)))
(fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) n0_i)
(fma.f32 u (/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle))) n0_i)
(+.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle)))))
(/.f32 (fma.f32 n1_i normAngle (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(+.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))))
(+.f32 (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle))))))
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (*.f32 #s(literal 3 binary32) (*.f32 normAngle (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle)))))
(/.f32 (fma.f32 n1_i normAngle (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (+.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))))
(+.f32 (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle))))))
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (*.f32 #s(literal 3 binary32) (*.f32 normAngle (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle)))))
(/.f32 (fma.f32 n1_i normAngle (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle)))) normAngle (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle)))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (fma.f32 (neg.f32 (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) n0_i (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle)))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle)))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (fma.f32 (*.f32 (cos.f32 normAngle) (neg.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle)))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (fma.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 1 binary32) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle)))))
(/.f32 (fma.f32 n1_i normAngle (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))) (pow.f32 (cbrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) #s(literal 2 binary32)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle)))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))) (sqrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle)))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (*.f32 (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) #s(literal 1 binary32)))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle)))))
(/.f32 (fma.f32 n1_i normAngle (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (+.f32 (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))))
(+.f32 (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle))))))
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (*.f32 #s(literal 3 binary32) (*.f32 normAngle (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(+.f32 (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle)))))
(/.f32 (fma.f32 n1_i normAngle (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(*.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)))
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle)))
(*.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) (pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle)))
(*.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(/.f32 (pow.f32 (/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle))) #s(literal 2 binary32)) (/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle)))
(*.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)) (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))))
(*.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 normAngle (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) #s(literal 2 binary32)) (*.f32 normAngle (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle)))))))
(*.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))))
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(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 (neg.f32 normAngle) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) (neg.f32 (sin.f32 normAngle))) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))))
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(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle)))))
(/.f32 (fma.f32 n1_i normAngle (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) (+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle)))))
(/.f32 (fma.f32 n1_i normAngle (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))
(fma.f32 (sqrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle)) (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle n0_i) (sin.f32 normAngle)))))
(/.f32 (fma.f32 n1_i normAngle (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))

eval178.0ms (1.2%)

Compiler

Compiled 19730 to 3111 computations (84.2% saved)

prune220.0ms (1.5%)

Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New62914643
Fresh6410
Picked325
Done011
Total63821659
Accuracy
100.0%
Counts
659 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(fma.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)
75.2%
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
29.1%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
50.8%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
89.7%
(+.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) n0_i)
99.4%
(+.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 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))))
97.5%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) n1_i))
✓97.5%
(+.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))
98.6%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))
▶72.2%
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
76.8%
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
▶98.8%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
99.5%
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 #s(literal 1/6 binary32) n1_i))))))
▶92.8%
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
99.4%
(+.f32 n0_i (*.f32 u (*.f32 n0_i (-.f32 (*.f32 (/.f32 n1_i n0_i) (/.f32 normAngle (sin.f32 normAngle))) (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
99.3%
(+.f32 n0_i (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
82.0%
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
✓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)))
89.2%
(*.f32 u (+.f32 (/.f32 n0_i u) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
▶35.4%
(*.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))
✓50.5%
n0_i
Compiler

Compiled 778 to 500 computations (35.7% saved)

localize399.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f32 normAngle #s(literal 2 binary32))
✓cost-diff64
(*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)))))
✓cost-diff64
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
✓cost-diff64
(*.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))
✓accuracy98.9%
(-.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)))
✓accuracy95.3%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
accuracy66.1%
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
✓accuracy61.9%
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
Rules
1612×unsub-neg
1054×fma-define
922×fma-neg
686×distribute-lft-neg-in
680×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0501152
11151035
23101015
38461000
425941000
557411000
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.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)
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)
n0_i
(+.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
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
n0_i
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 normAngle u))
n1_i
(*.f32 normAngle u)
normAngle
u
(sin.f32 normAngle)
(*.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))
n1_i
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
normAngle
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
u
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
n0_i
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
u
(+.f32 (*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)))))
#s(literal -1 binary32)
(+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(*.f32 n0_i #s(literal -1/3 binary32))
#s(literal -1/3 binary32)
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i normAngle)
n1_i
(sin.f32 normAngle)
Outputs
(fma.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)
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))))) n0_i) 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 #s(literal 1/6 binary32) n1_i)) 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)
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 #s(literal -1/6 binary32) n0_i) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))))) n0_i)
(-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) n1_i) n0_i)
(-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i)
(-.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 #s(literal -1/6 binary32) n0_i) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) n1_i)
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i)
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))
(+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
(*.f32 #s(literal -1/6 binary32) n0_i)
#s(literal -1/6 binary32)
n0_i
(+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))
(fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 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
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n0_i)
(fma.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(fma.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
n0_i
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 n1_i (*.f32 normAngle u))
(*.f32 n1_i (*.f32 u normAngle))
(*.f32 normAngle (*.f32 u n1_i))
(*.f32 u (*.f32 n1_i normAngle))
n1_i
(*.f32 normAngle u)
(*.f32 u normAngle)
normAngle
u
(sin.f32 normAngle)
(*.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))
(*.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
n1_i
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
normAngle
(sin.f32 (*.f32 normAngle u))
(sin.f32 (*.f32 u normAngle))
(*.f32 normAngle u)
(*.f32 u normAngle)
u
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))))
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)) n0_i)
(fma.f32 u (-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) n0_i) n0_i)) n0_i)
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))) n0_i)
n0_i
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (fma.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)))
(*.f32 u (-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) n0_i) n0_i)))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))))
u
(+.f32 (*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(fma.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i))
(-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) n0_i) n0_i))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)))))
(neg.f32 (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)))))
(neg.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i))
(-.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) n0_i) #s(literal 1/3 binary32)) n0_i)
(*.f32 n0_i (+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1/3 binary32))))
#s(literal -1 binary32)
(+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)
(fma.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) n0_i) n0_i)
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(*.f32 n0_i #s(literal -1/3 binary32))
#s(literal -1/3 binary32)
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n1_i normAngle)
n1_i
(sin.f32 normAngle)
Results
171.0ms251×0valid
11.0ms5×5exit
Compiler

Compiled 313 to 42 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-add: 83.0ms (62.5% of total)
ival-mult: 24.0ms (18.1% of total)
ival-sin: 6.0ms (4.5% of total)
ival-div: 5.0ms (3.8% of total)
ival-sub: 4.0ms (3% of total)
ival-pow: 4.0ms (3% of total)
backward-pass: 3.0ms (2.3% of total)
ival-fma: 3.0ms (2.3% of total)
const: 1.0ms (0.8% of total)

series26.0ms (0.2%)

Counts
6 → 112
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))>
#<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 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))>
#<alt (*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)))))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
Outputs
#<alt (*.f32 n1_i u)>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt 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))>
#<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 (*.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)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 n1_i n0_i)) #s(literal 1/3 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 n1_i n0_i)) #s(literal 1/3 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 n1_i n0_i)) #s(literal 1/3 binary32))))>
#<alt (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 #s(literal -1/2 binary32) n0_i))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 #s(literal -1/2 binary32) n0_i))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 #s(literal -1/2 binary32) n0_i))>
#<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))))>
#<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 #s(literal 1/6 binary32) n1_i)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)) n1_i)) #s(literal 1/6 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)) n1_i)) #s(literal 1/6 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)) n1_i)) #s(literal 1/6 binary32))))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 n1_i u)>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 n0_i (-.f32 (*.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 n0_i (-.f32 (*.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 n0_i (-.f32 (*.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 n0_i (-.f32 (*.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) n0_i)>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (*.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 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) n0_i)))>
Calls

39 calls:

TimeVariablePointExpression
3.0ms
n1_i
@0
(/ (* n1_i (* normAngle u)) (sin normAngle))
3.0ms
n0_i
@0
(* -1 (+ n0_i (* (pow normAngle 2) (* n0_i -1/3))))
1.0ms
n0_i
@inf
(* -1 (+ n0_i (* (pow normAngle 2) (* n0_i -1/3))))
1.0ms
normAngle
@0
(* n1_i (* (/ 1 (sin normAngle)) (sin (* normAngle u))))
1.0ms
normAngle
@-inf
(/ (* n1_i (* normAngle u)) (sin normAngle))

rewrite201.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
535×log1p-expm1-u
528×associate-*r*
346×associate-*l*
236×expm1-log1p-u
230×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036188
1517169
27494169
Stop Event
1×node limit
Counts
6 → 211
Calls
Call 1
Inputs
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(*.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))
(*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)))))
(pow.f32 normAngle #s(literal 2 binary32))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))) #s(literal 1 binary32))
(*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))
(*.f32 (*.f32 normAngle u) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (*.f32 n1_i (*.f32 normAngle u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n1_i (*.f32 normAngle u)))
(*.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))) (cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 n1_i (*.f32 normAngle u)) #s(literal 2 binary32))) (/.f32 (cbrt.f32 (*.f32 n1_i (*.f32 normAngle u))) (sin.f32 normAngle)))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 n1_i (*.f32 normAngle u)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (*.f32 n1_i (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (cbrt.f32 (pow.f32 n1_i #s(literal 2 binary32))) (*.f32 (cbrt.f32 n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (*.f32 n1_i (*.f32 normAngle u))) (/.f32 (sqrt.f32 (*.f32 n1_i (*.f32 normAngle u))) (sin.f32 normAngle)))
(*.f32 (sqrt.f32 (*.f32 n1_i (*.f32 normAngle u))) (*.f32 (sqrt.f32 (*.f32 n1_i (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 n1_i) (*.f32 (sqrt.f32 n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 (*.f32 n1_i (neg.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))
(*.f32 (*.f32 n1_i normAngle) (*.f32 u (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) n1_i)
(*.f32 (/.f32 n1_i #s(literal 1 binary32)) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (*.f32 normAngle u) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 n1_i (sqrt.f32 (sin.f32 normAngle))) (/.f32 (*.f32 normAngle u) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (*.f32 normAngle u) (sqrt.f32 (sin.f32 normAngle))) (/.f32 n1_i (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (*.f32 normAngle u) #s(literal 1 binary32)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (/.f32 (*.f32 normAngle u) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 n1_i (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 n1_i (*.f32 normAngle u)) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 n1_i (*.f32 normAngle u))) (sin.f32 normAngle)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 n1_i (*.f32 normAngle u)) #s(literal 2 binary32))) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 n1_i (*.f32 normAngle u)) #s(literal 2 binary32))) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (*.f32 n1_i (*.f32 normAngle u))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 n1_i (*.f32 normAngle u))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 n1_i (*.f32 normAngle u))) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 n1_i (*.f32 normAngle u))) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (*.f32 n1_i (*.f32 normAngle u))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (*.f32 n1_i normAngle) #s(literal 1 binary32)) (/.f32 u (sin.f32 normAngle)))
(*.f32 (/.f32 (*.f32 n1_i normAngle) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 u (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (*.f32 n1_i normAngle) (sqrt.f32 (sin.f32 normAngle))) (/.f32 u (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle u)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle u)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(pow.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)) n1_i) #s(literal -1 binary32))
(neg.f32 (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (*.f32 n1_i (neg.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 n1_i (*.f32 normAngle u)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 n1_i (*.f32 normAngle u)) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle u))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle u))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (sin.f32 normAngle)))
(pow.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (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 normAngle u)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (neg.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))))
(+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 (neg.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))) #s(literal 1 binary32)))
(+.f32 (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) (fma.f32 (neg.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))) #s(literal 1 binary32) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))))
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(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/9 binary32))))) (+.f32 n0_i (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/9 binary32))))) (neg.f32 (+.f32 n0_i (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32)))))
(/.f32 (+.f32 (pow.f32 (neg.f32 n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32)) #s(literal 3 binary32))) (+.f32 (*.f32 (neg.f32 n0_i) (neg.f32 n0_i)) (-.f32 (*.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32)) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))) (*.f32 (neg.f32 n0_i) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))))
(/.f32 (-.f32 (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/9 binary32))) (pow.f32 n0_i #s(literal 2 binary32))) (-.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) n0_i))
(/.f32 (-.f32 (*.f32 (neg.f32 n0_i) (neg.f32 n0_i)) (*.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32)) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32)))) (-.f32 (neg.f32 n0_i) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))
(/.f32 (*.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (fma.f32 n0_i n0_i (*.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) (-.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) n0_i))))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/9 binary32))))) (+.f32 n0_i (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) #s(literal -1 binary32)) (fma.f32 n0_i n0_i (*.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) (-.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) n0_i))))
(/.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/9 binary32)))) #s(literal -1 binary32)) (+.f32 n0_i (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))
(pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)) #s(literal 2 binary32))
(neg.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i))
(sqrt.f32 (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)))
(exp.f32 (log.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) n0_i)
(fma.f32 n0_i #s(literal -1 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32)))
(fma.f32 #s(literal -1 binary32) n0_i (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32)))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)
(fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)) n0_i)
(fma.f32 (cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/9 binary32)))) (cbrt.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))) n0_i)
(fma.f32 (cbrt.f32 (pow.f32 n0_i #s(literal 2 binary32))) (cbrt.f32 n0_i) (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
(fma.f32 (*.f32 normAngle (sqrt.f32 (*.f32 n0_i #s(literal -1/3 binary32)))) (*.f32 normAngle (sqrt.f32 (*.f32 n0_i #s(literal -1/3 binary32)))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
(fma.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal -1/3 binary32) n0_i)
(-.f32 (exp.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 normAngle normAngle)
(*.f32 #s(literal 1 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1 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))
(*.f32 (cbrt.f32 (pow.f32 normAngle #s(literal 4 binary32))) (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 normAngle) (*.f32 (sqrt.f32 normAngle) normAngle))
(*.f32 (*.f32 normAngle (sqrt.f32 normAngle)) (sqrt.f32 normAngle))
(*.f32 (*.f32 normAngle (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32))) (cbrt.f32 normAngle))
(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 (*.f32 #s(literal 2 binary32) (log.f32 normAngle)) #s(literal 1 binary32)))

simplify456.0ms (3%)

Algorithm
1×egg-herbie
Rules
1600×fma-neg
1082×associate-*r*
1010×associate-*l*
732×fma-define
696×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071615210
1188414560
2680214422
Stop Event
1×node limit
Counts
323 → 384
Calls
Call 1
Inputs
(*.f32 n1_i u)
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
u
(+.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))))
(+.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))))
(+.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))))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.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))))
(*.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))))
(*.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))))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 #s(literal 1/6 binary32) n1_i)
(-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(*.f32 #s(literal 1/3 binary32) n0_i)
(*.f32 n0_i (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 n1_i n0_i))))
(*.f32 n0_i (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 n1_i n0_i))))
(*.f32 n0_i (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 n1_i n0_i))))
(*.f32 #s(literal 1/3 binary32) n0_i)
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 n1_i n0_i)) #s(literal 1/3 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 n1_i n0_i)) #s(literal 1/3 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 n1_i n0_i)) #s(literal 1/3 binary32))))
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i))
(-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 #s(literal -1/2 binary32) n0_i))
(-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 #s(literal -1/2 binary32) n0_i))
(-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 #s(literal -1/2 binary32) n0_i))
(*.f32 #s(literal 1/6 binary32) n1_i)
(*.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))))
(*.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))))
(*.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))))
(*.f32 #s(literal 1/6 binary32) n1_i)
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)) n1_i)) #s(literal 1/6 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)) n1_i)) #s(literal 1/6 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)) n1_i)) #s(literal 1/6 binary32))))
(/.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 n1_i u)
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(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (fma.f32 n0_i n0_i (*.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) (-.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) n0_i))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) (-.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) n0_i)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/9 binary32))))) (+.f32 n0_i (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/9 binary32))))) (neg.f32 (+.f32 n0_i (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32)))))
(/.f32 (+.f32 (pow.f32 (neg.f32 n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32)) #s(literal 3 binary32))) (+.f32 (*.f32 (neg.f32 n0_i) (neg.f32 n0_i)) (-.f32 (*.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32)) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))) (*.f32 (neg.f32 n0_i) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))))
(/.f32 (-.f32 (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/9 binary32))) (pow.f32 n0_i #s(literal 2 binary32))) (-.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) n0_i))
(/.f32 (-.f32 (*.f32 (neg.f32 n0_i) (neg.f32 n0_i)) (*.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32)) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32)))) (-.f32 (neg.f32 n0_i) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))
(/.f32 (*.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (fma.f32 n0_i n0_i (*.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) (-.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) n0_i))))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/9 binary32))))) (+.f32 n0_i (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) #s(literal -1 binary32)) (fma.f32 n0_i n0_i (*.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) (-.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) n0_i))))
(/.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/9 binary32)))) #s(literal -1 binary32)) (+.f32 n0_i (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))
(pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)) #s(literal 2 binary32))
(neg.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i))
(sqrt.f32 (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)))
(exp.f32 (log.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) n0_i)
(fma.f32 n0_i #s(literal -1 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32)))
(fma.f32 #s(literal -1 binary32) n0_i (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32)))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)
(fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)) n0_i)
(fma.f32 (cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/9 binary32)))) (cbrt.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))) n0_i)
(fma.f32 (cbrt.f32 (pow.f32 n0_i #s(literal 2 binary32))) (cbrt.f32 n0_i) (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
(fma.f32 (*.f32 normAngle (sqrt.f32 (*.f32 n0_i #s(literal -1/3 binary32)))) (*.f32 normAngle (sqrt.f32 (*.f32 n0_i #s(literal -1/3 binary32)))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
(fma.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal -1/3 binary32) n0_i)
(-.f32 (exp.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 normAngle normAngle)
(*.f32 #s(literal 1 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1 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))
(*.f32 (cbrt.f32 (pow.f32 normAngle #s(literal 4 binary32))) (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 normAngle) (*.f32 (sqrt.f32 normAngle) normAngle))
(*.f32 (*.f32 normAngle (sqrt.f32 normAngle)) (sqrt.f32 normAngle))
(*.f32 (*.f32 normAngle (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32))) (cbrt.f32 normAngle))
(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 (*.f32 #s(literal 2 binary32) (log.f32 normAngle)) #s(literal 1 binary32)))
Outputs
(*.f32 n1_i u)
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u))
(fma.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 n1_i u))
(fma.f32 n1_i u (*.f32 #s(literal 1/6 binary32) (*.f32 u (*.f32 n1_i (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 n1_i (*.f32 u #s(literal -7/360 binary32))) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u)) (*.f32 n1_i u))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.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 -7/2160 binary32)) (*.f32 (*.f32 n1_i u) #s(literal 1/840 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))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (neg.f32 (+.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/2160 binary32)) (*.f32 (*.f32 n1_i u) #s(literal 1/840 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))
u
(+.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))))
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) u)
(+.f32 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))))
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (fma.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))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 u #s(literal 1/120 binary32)))))) (*.f32 #s(literal 1/6 binary32) u))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 u #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 u #s(literal 1/6 binary32)))) u)
(+.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))))
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.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))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 u #s(literal 1/120 binary32)))) (fma.f32 #s(literal -1/5040 binary32) u (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 u #s(literal 1/120 binary32)))))) (*.f32 #s(literal 1/6 binary32) u))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 u #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (fma.f32 u #s(literal -1/5040 binary32) (*.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 u #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 u #s(literal 1/6 binary32)))) u)
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
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(fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)) n0_i)
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(pow.f32 (sqrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)) #s(literal 2 binary32))
(fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)) n0_i)
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(neg.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i))
(*.f32 (neg.f32 n0_i) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32))))
(*.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)) (neg.f32 n0_i))
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1/3 binary32) #s(literal -1 binary32)))
(sqrt.f32 (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i) #s(literal 2 binary32)))
(fabs.f32 (*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32))))
(log.f32 (exp.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)))
(fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)) n0_i)
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i))))
(fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)) n0_i)
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(cbrt.f32 (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i) #s(literal 3 binary32)))
(fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)) n0_i)
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)))
(expm1.f32 (log1p.f32 (*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))))
(log1p.f32 (expm1.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)))
(fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)) n0_i)
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(exp.f32 (log.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)))
(fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)) n0_i)
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)) #s(literal 1 binary32)))
(fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)) n0_i)
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
(fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)) n0_i)
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) n0_i)
(fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)) n0_i)
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(fma.f32 n0_i #s(literal -1 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32)))
(*.f32 (neg.f32 n0_i) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32))))
(*.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)) (neg.f32 n0_i))
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1/3 binary32) #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) n0_i (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32)))
(*.f32 (neg.f32 n0_i) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32))))
(*.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)) (neg.f32 n0_i))
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1/3 binary32) #s(literal -1 binary32)))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)) n0_i)
(fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)) n0_i)
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)) n0_i)
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(fma.f32 (cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/9 binary32)))) (cbrt.f32 (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))) n0_i)
(fma.f32 (cbrt.f32 (*.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/9 binary32)) (pow.f32 normAngle #s(literal 4 binary32)))) (cbrt.f32 (*.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)))) n0_i)
(fma.f32 (cbrt.f32 (*.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/9 binary32)) (pow.f32 normAngle #s(literal 4 binary32)))) (cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)))) n0_i)
(fma.f32 (cbrt.f32 (pow.f32 n0_i #s(literal 2 binary32))) (cbrt.f32 n0_i) (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
(fma.f32 (cbrt.f32 (pow.f32 n0_i #s(literal 2 binary32))) (cbrt.f32 n0_i) (*.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32))))
(fma.f32 (cbrt.f32 (pow.f32 n0_i #s(literal 2 binary32))) (cbrt.f32 n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32))))
(fma.f32 (*.f32 normAngle (sqrt.f32 (*.f32 n0_i #s(literal -1/3 binary32)))) (*.f32 normAngle (sqrt.f32 (*.f32 n0_i #s(literal -1/3 binary32)))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 n0_i (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
(fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)) n0_i)
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(fma.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) #s(literal -1/3 binary32) n0_i)
(fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)) n0_i)
(*.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(*.f32 normAngle normAngle)
(pow.f32 normAngle #s(literal 2 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(pow.f32 normAngle #s(literal 2 binary32))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #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))
(pow.f32 normAngle #s(literal 2 binary32))
(*.f32 (cbrt.f32 (pow.f32 normAngle #s(literal 4 binary32))) (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 normAngle #s(literal 4 binary32))))
(*.f32 (sqrt.f32 normAngle) (*.f32 (sqrt.f32 normAngle) normAngle))
(pow.f32 normAngle #s(literal 2 binary32))
(*.f32 (*.f32 normAngle (sqrt.f32 normAngle)) (sqrt.f32 normAngle))
(pow.f32 normAngle #s(literal 2 binary32))
(*.f32 (*.f32 normAngle (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32))) (cbrt.f32 normAngle))
(pow.f32 normAngle #s(literal 2 binary32))
(sqrt.f32 (pow.f32 normAngle #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32)))))
(pow.f32 normAngle #s(literal 2 binary32))
(cbrt.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)))
(pow.f32 normAngle #s(literal 2 binary32))
(expm1.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 normAngle)))
(pow.f32 normAngle #s(literal 2 binary32))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 normAngle)) #s(literal 1 binary32)))
(pow.f32 normAngle #s(literal 2 binary32))

eval155.0ms (1%)

Compiler

Compiled 12062 to 2507 computations (79.2% saved)

prune136.0ms (0.9%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New45812470
Fresh5813
Picked325
Done123
Total46724491
Accuracy
100.0%
Counts
491 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(fma.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)
75.2%
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
29.0%
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
50.8%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
99.4%
(+.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 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))))
98.6%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))
80.5%
(+.f32 n0_i (*.f32 (*.f32 normAngle u) (/.f32 n1_i (sin.f32 normAngle))))
76.6%
(+.f32 n0_i (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
✓98.8%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
99.5%
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 #s(literal 1/6 binary32) n1_i))))))
99.0%
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32))))) n1_i)))
92.8%
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
▶92.6%
(+.f32 n0_i (*.f32 u (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
99.4%
(+.f32 n0_i (*.f32 u (*.f32 n0_i (-.f32 (*.f32 (/.f32 n1_i n0_i) (/.f32 normAngle (sin.f32 normAngle))) (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
99.3%
(+.f32 n0_i (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
81.7%
(+.f32 n0_i (*.f32 n1_i u))
✓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)))
▶35.4%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
89.2%
(*.f32 u (+.f32 (/.f32 n0_i u) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
▶35.4%
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
✓35.4%
(*.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))
36.4%
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
▶36.1%
(*.f32 n1_i u)
✓50.5%
n0_i
Compiler

Compiled 805 to 518 computations (35.7% saved)

localize318.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 #s(literal -1/6 binary32) n0_i)
✓cost-diff0
(*.f32 normAngle normAngle)
✓cost-diff32
(+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
✓cost-diff32
(*.f32 u (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
accuracy98.9%
(-.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)))
✓accuracy96.0%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
✓accuracy95.8%
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
accuracy66.1%
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
Rules
1636×fma-neg
1382×sub-neg
724×associate-+l-
656×associate--r+
552×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039829
183746
2208726
3510726
41477726
53728726
67252726
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.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)
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)
n0_i
(+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(*.f32 #s(literal -1/2 binary32) n0_i)
#s(literal -1/2 binary32)
(*.f32 #s(literal -1/6 binary32) n1_i)
(*.f32 n1_i u)
n1_i
u
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
n1_i
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
(+.f32 n0_i (*.f32 u (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
n0_i
(*.f32 u (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
u
(+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(neg.f32 n0_i)
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i normAngle)
n1_i
normAngle
(sin.f32 normAngle)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
Outputs
(fma.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)
(fma.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))) n0_i)) n0_i)
(fma.f32 u (-.f32 (fma.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) 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)
(fma.f32 u (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i) n0_i) n0_i)
(fma.f32 u (-.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n1_i) n0_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 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))) n0_i))
(-.f32 (fma.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) 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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i) n0_i)
(-.f32 (fma.f32 normAngle (*.f32 normAngle (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 (*.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 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))))
(fma.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) 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)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)
(fma.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 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 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))))
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(*.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 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 #s(literal -1/6 binary32) n0_i) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))
(+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
(*.f32 #s(literal -1/6 binary32) n0_i)
#s(literal -1/6 binary32)
n0_i
(+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))
(fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32)))
(fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))
(*.f32 #s(literal -1/2 binary32) n0_i)
(*.f32 n0_i #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
(*.f32 #s(literal -1/6 binary32) n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(*.f32 n1_i u)
(*.f32 u n1_i)
n1_i
u
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(*.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
n1_i
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
(+.f32 n0_i (*.f32 u (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (+.f32 (neg.f32 n0_i) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))))
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i) n0_i)
n0_i
(*.f32 u (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (neg.f32 n0_i) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i))
u
(+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(+.f32 (neg.f32 n0_i) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(neg.f32 n0_i)
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 n1_i normAngle)
n1_i
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)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
Results
89.0ms251×0valid
8.0ms5×5exit
Compiler

Compiled 216 to 31 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 21.0ms (42.6% of total)
ival-add: 7.0ms (14.2% of total)
ival-div: 6.0ms (12.2% of total)
ival-sin: 6.0ms (12.2% of total)
ival-sub: 3.0ms (6.1% of total)
ival-fma: 3.0ms (6.1% of total)
backward-pass: 2.0ms (4.1% of total)
const: 1.0ms (2% of total)
ival-neg: 1.0ms (2% of total)

series21.0ms (0.1%)

Counts
6 → 156
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))>
#<alt (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))>
#<alt (*.f32 u (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))>
#<alt (*.f32 normAngle normAngle)>
#<alt (*.f32 #s(literal -1/6 binary32) n0_i)>
Outputs
#<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 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 n1_i u)>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<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 u) 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 (*.f32 n0_i u) 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 (*.f32 n0_i u) n1_i))))>
#<alt (*.f32 u (-.f32 n1_i n0_i))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 u (-.f32 n1_i n0_i)))>
#<alt (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)))))>
#<alt (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (+.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 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) normAngle)) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))>
#<alt (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) normAngle)) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))>
#<alt (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) normAngle)) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i u) normAngle))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i u) normAngle))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i u) normAngle))))>
#<alt (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))>
#<alt (*.f32 #s(literal -1 binary32) n0_i)>
#<alt (*.f32 n0_i (-.f32 (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32)))>
#<alt (*.f32 n0_i (-.f32 (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32)))>
#<alt (*.f32 n0_i (-.f32 (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) n0_i)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) n0_i)>
#<alt (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)>
#<alt (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)>
#<alt (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)>
#<alt (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i)) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i)) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i)) (/.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 n0_i n1_i))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 normAngle (sin.f32 normAngle))) (/.f32 n0_i n1_i))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 normAngle (sin.f32 normAngle))) (/.f32 n0_i n1_i))))>
#<alt (-.f32 n1_i n0_i)>
#<alt (-.f32 (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))) n0_i)>
#<alt (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i)>
#<alt (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i)>
#<alt (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))>
#<alt (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (/.f32 n1_i (sin.f32 normAngle))))>
#<alt (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (/.f32 n1_i (sin.f32 normAngle))))>
#<alt (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (/.f32 n1_i (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i 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 n0_i normAngle))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 n0_i normAngle))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 n0_i normAngle))))>
#<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))>
Calls

42 calls:

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

rewrite169.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1205×log1p-expm1-u
376×expm1-log1p-u
370×associate-*r*
260×associate-*l*
172×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026172
1383156
25557156
Stop Event
1×node limit
Counts
6 → 166
Calls
Call 1
Inputs
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 u (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(*.f32 normAngle normAngle)
(*.f32 #s(literal -1/6 binary32) n0_i)
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))) #s(literal 1 binary32))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(*.f32 normAngle (*.f32 u (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (*.f32 u normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (cbrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) (pow.f32 (cbrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u normAngle)) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u normAngle)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 u normAngle)) (/.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 (sqrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(*.f32 (sqrt.f32 (*.f32 u normAngle)) (/.f32 (sqrt.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (sqrt.f32 (*.f32 u normAngle)) (*.f32 (sqrt.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 u) (*.f32 (sqrt.f32 u) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (*.f32 u (neg.f32 normAngle)) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 u normAngle))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(*.f32 (/.f32 u #s(literal 1 binary32)) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (/.f32 u (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 normAngle (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 u (sqrt.f32 (sin.f32 normAngle))) (/.f32 normAngle (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 normAngle (sqrt.f32 (sin.f32 normAngle))) (/.f32 u (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 normAngle #s(literal 1 binary32)) (/.f32 u (sin.f32 normAngle)))
(*.f32 (/.f32 normAngle (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 u (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (*.f32 u normAngle) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 u normAngle)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 u normAngle)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 u normAngle)) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (*.f32 u normAngle)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u normAngle)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u normAngle)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (*.f32 u normAngle)) (cbrt.f32 (sin.f32 normAngle))))
(pow.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) u) normAngle) #s(literal -1 binary32))
(neg.f32 (/.f32 (*.f32 u normAngle) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (*.f32 u (neg.f32 normAngle)) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (*.f32 u (/.f32 normAngle (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 u (/.f32 normAngle (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 u normAngle) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 n1_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 n1_i) (sin.f32 (*.f32 u normAngle))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))
(pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 n1_i (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32)) (pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 1 binary32)))
(+.f32 (*.f32 u n0_i) (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 u n0_i))
(+.f32 (*.f32 (*.f32 u n0_i) #s(literal 1 binary32)) (*.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))) #s(literal 1 binary32))
(/.f32 (+.f32 (pow.f32 (*.f32 u n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 u n0_i) (*.f32 u n0_i)) (-.f32 (*.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))) (*.f32 (*.f32 u n0_i) (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))))))
(/.f32 (-.f32 (*.f32 (*.f32 u n0_i) (*.f32 u n0_i)) (*.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))) (-.f32 (*.f32 u n0_i) (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))))
(/.f32 (*.f32 u (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (fma.f32 n0_i n0_i (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))))
(/.f32 (*.f32 u (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 (*.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) u) (fma.f32 n0_i n0_i (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))))
(/.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) u) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))))
(cbrt.f32 (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))))
(log1p.f32 (expm1.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))))
(exp.f32 (log.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))))
(exp.f32 (*.f32 (log.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))) #s(literal 1 binary32)))
(fma.f32 u n0_i (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(fma.f32 n0_i u (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(-.f32 #s(literal 0 binary32) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 n1_i (/.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 normAngle (/.f32 n1_i (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(-.f32 (+.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 0 binary32)) n0_i)
(*.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))
(*.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) (pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) (sqrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(*.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i n0_i (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))))
(*.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))) (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 (*.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 (-.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))
(pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(exp.f32 (log.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 1 binary32)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 (*.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 #s(literal -1 binary32) n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 1 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(sqrt.f32 (pow.f32 normAngle #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 normAngle)))
(exp.f32 (*.f32 (log.f32 normAngle) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 normAngle)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n0_i #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 n0_i #s(literal -1/6 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n0_i #s(literal -1/6 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n0_i #s(literal -1/6 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n0_i #s(literal -1/6 binary32))) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)))
(log.f32 (pow.f32 (exp.f32 n0_i) #s(literal -1/6 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n0_i #s(literal -1/6 binary32)))))
(cbrt.f32 (pow.f32 (*.f32 n0_i #s(literal -1/6 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 n0_i #s(literal -1/6 binary32))))
(log1p.f32 (expm1.f32 (*.f32 n0_i #s(literal -1/6 binary32))))
(exp.f32 (log.f32 (*.f32 n0_i #s(literal -1/6 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 n0_i #s(literal -1/6 binary32))) #s(literal 1 binary32)))

simplify189.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1012×fma-neg
958×associate-*r*
806×associate-*l*
652×fma-define
582×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059913568
1163913080
2599513066
Stop Event
1×node limit
Counts
322 → 290
Calls
Call 1
Inputs
(/.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 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 u normAngle)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 u normAngle)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 u normAngle)) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (*.f32 u normAngle)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u normAngle)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u normAngle)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (*.f32 u normAngle)) (cbrt.f32 (sin.f32 normAngle))))
(pow.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) u) normAngle) #s(literal -1 binary32))
(neg.f32 (/.f32 (*.f32 u normAngle) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (*.f32 u (neg.f32 normAngle)) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (*.f32 u (/.f32 normAngle (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 u (/.f32 normAngle (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 u normAngle) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 n1_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 n1_i) (sin.f32 (*.f32 u normAngle))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))
(pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 n1_i (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32)) (pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 1 binary32)))
(+.f32 (*.f32 u n0_i) (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 u n0_i))
(+.f32 (*.f32 (*.f32 u n0_i) #s(literal 1 binary32)) (*.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))) #s(literal 1 binary32))
(/.f32 (+.f32 (pow.f32 (*.f32 u n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 u n0_i) (*.f32 u n0_i)) (-.f32 (*.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))) (*.f32 (*.f32 u n0_i) (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))))))
(/.f32 (-.f32 (*.f32 (*.f32 u n0_i) (*.f32 u n0_i)) (*.f32 (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))) (-.f32 (*.f32 u n0_i) (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))))
(/.f32 (*.f32 u (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (fma.f32 n0_i n0_i (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))))
(/.f32 (*.f32 u (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 (*.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) u) (fma.f32 n0_i n0_i (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))))
(/.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) u) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))))
(cbrt.f32 (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))))
(log1p.f32 (expm1.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))))
(exp.f32 (log.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))))
(exp.f32 (*.f32 (log.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))) #s(literal 1 binary32)))
(fma.f32 u n0_i (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(fma.f32 n0_i u (*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(-.f32 #s(literal 0 binary32) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 n1_i (/.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 normAngle (/.f32 n1_i (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(-.f32 (+.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 0 binary32)) n0_i)
(*.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))
(*.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) (pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) (sqrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(*.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i n0_i (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))))
(*.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))) (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 (*.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 (-.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))
(pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(exp.f32 (log.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 1 binary32)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 (*.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 #s(literal -1 binary32) n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 1 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(sqrt.f32 (pow.f32 normAngle #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 normAngle)))
(exp.f32 (*.f32 (log.f32 normAngle) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 normAngle)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n0_i #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 n0_i #s(literal -1/6 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n0_i #s(literal -1/6 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n0_i #s(literal -1/6 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n0_i #s(literal -1/6 binary32))) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)))
(log.f32 (pow.f32 (exp.f32 n0_i) #s(literal -1/6 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n0_i #s(literal -1/6 binary32)))))
(cbrt.f32 (pow.f32 (*.f32 n0_i #s(literal -1/6 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 n0_i #s(literal -1/6 binary32))))
(log1p.f32 (expm1.f32 (*.f32 n0_i #s(literal -1/6 binary32))))
(exp.f32 (log.f32 (*.f32 n0_i #s(literal -1/6 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 n0_i #s(literal -1/6 binary32))) #s(literal 1 binary32)))
Outputs
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 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 #s(literal 1/6 binary32) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))))
(fma.f32 #s(literal 1/6 binary32) (*.f32 u (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 (neg.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u #s(literal -7/360 binary32)))) (*.f32 #s(literal 1/6 binary32) u))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u #s(literal 7/360 binary32))) (*.f32 u #s(literal 1/6 binary32))) u)
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u #s(literal 7/360 binary32)) (*.f32 u #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 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (neg.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) u (fma.f32 #s(literal 1/720 binary32) u (*.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -7/360 binary32))))))) (*.f32 u #s(literal -7/360 binary32))) (neg.f32 (*.f32 u #s(literal -1/6 binary32))))))
(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 u #s(literal -7/2160 binary32)) (*.f32 u #s(literal 1/840 binary32))) (*.f32 u #s(literal 7/360 binary32))) (*.f32 u #s(literal 1/6 binary32))) u)
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (neg.f32 (+.f32 (*.f32 u #s(literal -7/2160 binary32)) (*.f32 u #s(literal 1/840 binary32)))) (*.f32 u #s(literal 7/360 binary32))) (*.f32 u #s(literal 1/6 binary32))) u)
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(*.f32 normAngle (/.f32 (*.f32 u n1_i) (sin.f32 normAngle)))
(*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(*.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 2 binary32))))))
(*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (/.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 5 binary32))) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 n1_i (sin.f32 normAngle))))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (/.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 7 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle))))))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (*.f32 (pow.f32 u #s(literal 2 binary32)) (/.f32 (pow.f32 normAngle #s(literal 7 binary32)) (sin.f32 normAngle)))) (*.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 n1_i (sin.f32 normAngle))))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i)))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i))) (*.f32 #s(literal 1/120 binary32) (*.f32 u n1_i)))))) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i)))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n1_i (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal 1/120 binary32) (*.f32 u n1_i) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i))) (*.f32 #s(literal 1/120 binary32) (*.f32 u n1_i)))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 u n1_i) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i))))))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i))) (*.f32 #s(literal 1/120 binary32) (*.f32 u n1_i)))))) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i)))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) (*.f32 #s(literal -1/5040 binary32) n1_i)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal 1/120 binary32) (*.f32 u n1_i) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 u n1_i) (*.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))) (*.f32 n1_i (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 u n1_i) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 u n1_i))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(-.f32 (+.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 0 binary32)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i))
(*.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 1 binary32))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(*.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(*.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) (pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(*.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) (sqrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(*.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i n0_i (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))))
(*.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i n0_i (*.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (*.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(*.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))) (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))))
(*.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i n0_i (*.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (*.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))))
(*.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i n0_i (*.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (*.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 (*.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (-.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32))) (*.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))))
(*.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i n0_i (*.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (*.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 (-.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))
(/.f32 (-.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32))) (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i))
(pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 1 binary32))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 3 binary32))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(pow.f32 (pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(pow.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(sqrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 2 binary32)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(log.f32 (exp.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i))))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(cbrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(expm1.f32 (log1p.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(expm1.f32 (log1p.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(exp.f32 (log.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)) #s(literal 1 binary32)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(fma.f32 (*.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i)
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(fma.f32 #s(literal 1 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(fma.f32 (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(fma.f32 #s(literal -1 binary32) n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(sqrt.f32 (pow.f32 normAngle #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32)))))
(pow.f32 normAngle #s(literal 2 binary32))
(cbrt.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)))
(pow.f32 normAngle #s(literal 2 binary32))
(expm1.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 normAngle)))
(pow.f32 normAngle #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 normAngle) #s(literal 2 binary32)))
(pow.f32 normAngle #s(literal 2 binary32))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 normAngle)) #s(literal 1 binary32)))
(pow.f32 normAngle #s(literal 2 binary32))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n0_i #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 #s(literal -1/6 binary32) n0_i)))
(pow.f32 (*.f32 n0_i #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) n0_i)
(pow.f32 (cbrt.f32 (*.f32 n0_i #s(literal -1/6 binary32))) #s(literal 3 binary32))
(*.f32 #s(literal -1/6 binary32) n0_i)
(pow.f32 (pow.f32 (*.f32 n0_i #s(literal -1/6 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 #s(literal -1/6 binary32) n0_i)
(pow.f32 (sqrt.f32 (*.f32 n0_i #s(literal -1/6 binary32))) #s(literal 2 binary32))
(*.f32 #s(literal -1/6 binary32) n0_i)
(sqrt.f32 (*.f32 (pow.f32 n0_i #s(literal 2 binary32)) #s(literal 1/36 binary32)))
(fabs.f32 (*.f32 #s(literal -1/6 binary32) n0_i))
(log.f32 (pow.f32 (exp.f32 n0_i) #s(literal -1/6 binary32)))
(*.f32 #s(literal -1/6 binary32) n0_i)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n0_i #s(literal -1/6 binary32)))))
(*.f32 #s(literal -1/6 binary32) n0_i)
(cbrt.f32 (pow.f32 (*.f32 n0_i #s(literal -1/6 binary32)) #s(literal 3 binary32)))
(*.f32 #s(literal -1/6 binary32) n0_i)
(expm1.f32 (log1p.f32 (*.f32 n0_i #s(literal -1/6 binary32))))
(expm1.f32 (log1p.f32 (*.f32 #s(literal -1/6 binary32) n0_i)))
(log1p.f32 (expm1.f32 (*.f32 n0_i #s(literal -1/6 binary32))))
(*.f32 #s(literal -1/6 binary32) n0_i)
(exp.f32 (log.f32 (*.f32 n0_i #s(literal -1/6 binary32))))
(*.f32 #s(literal -1/6 binary32) n0_i)
(exp.f32 (*.f32 (log.f32 (*.f32 n0_i #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(*.f32 #s(literal -1/6 binary32) n0_i)

eval52.0ms (0.3%)

Compiler

Compiled 9862 to 2291 computations (76.8% saved)

prune201.0ms (1.3%)

Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New44310453
Fresh6915
Picked235
Done044
Total45126477
Accuracy
100.0%
Counts
477 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i) n0_i)
99.5%
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i) n0_i)
99.1%
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/3 binary32) n0_i))) n0_i) n0_i)
75.2%
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
29.0%
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
50.8%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
99.4%
(+.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 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))))
98.6%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))
80.5%
(+.f32 n0_i (*.f32 (*.f32 normAngle u) (/.f32 n1_i (sin.f32 normAngle))))
76.6%
(+.f32 n0_i (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
63.7%
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
92.6%
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
✓98.8%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
92.8%
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
99.3%
(+.f32 n0_i (*.f32 u (*.f32 n1_i (-.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i n1_i)))))
99.1%
(+.f32 n0_i (*.f32 u (*.f32 n0_i (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 normAngle (/.f32 n1_i n0_i)) (sin.f32 normAngle)))))))
99.2%
(+.f32 n0_i (*.f32 normAngle (-.f32 (/.f32 (*.f32 u n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 u normAngle)))))
97.7%
(+.f32 n0_i (*.f32 n1_i (-.f32 (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 u n1_i)))))
81.7%
(+.f32 n0_i (*.f32 n1_i u))
✓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)))
✓35.4%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
✓35.4%
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
✓35.4%
(*.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))
36.3%
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
✓36.1%
(*.f32 n1_i u)
✓50.5%
n0_i
Compiler

Compiled 1276 to 509 computations (60.1% saved)

regimes164.0ms (1.1%)

Counts
56 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(+.f32 n0_i (*.f32 n1_i u))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(+.f32 n0_i (*.f32 u (-.f32 n1_i 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 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 (*.f32 normAngle u) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
(+.f32 n0_i (*.f32 u (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (*.f32 n1_i (-.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i n1_i)))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) n1_i))
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/3 binary32) n0_i))) n0_i) n0_i)
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i) n0_i)
(+.f32 n0_i (*.f32 n1_i (-.f32 (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 u n1_i)))))
(+.f32 n0_i (*.f32 normAngle (-.f32 (/.f32 (*.f32 u n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 u normAngle)))))
(+.f32 n0_i (*.f32 u (*.f32 n0_i (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 normAngle (/.f32 n1_i n0_i)) (sin.f32 normAngle)))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32))))) n1_i)))
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i) n0_i)
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 #s(literal 1/6 binary32) n1_i))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(fma.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 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))) 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 u n1_i))
(*.f32 u (+.f32 (/.f32 n0_i u) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(fma.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 n0_i (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(+.f32 n0_i (*.f32 u (*.f32 n0_i (-.f32 (*.f32 (/.f32 n1_i n0_i) (/.f32 normAngle (sin.f32 normAngle))) (*.f32 normAngle (/.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 n1_i normAngle) (sin.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 (*.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 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))))
(/.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 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) n0_i)
(+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 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 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.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)))
(+.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 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 1 binary32)) n1_i))
Outputs
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i) n0_i)
Calls

5 calls:

85.0ms
(+.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))
25.0ms
normAngle
17.0ms
n0_i
17.0ms
u
15.0ms
n1_i
Results
AccuracySegmentsBranch
99.7%1normAngle
99.7%1u
99.7%1n0_i
99.7%1n1_i
99.7%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)

regimes39.0ms (0.3%)

Counts
27 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(+.f32 n0_i (*.f32 n1_i u))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(+.f32 n0_i (*.f32 u (-.f32 n1_i 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 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 (*.f32 normAngle u) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
(+.f32 n0_i (*.f32 u (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (*.f32 n1_i (-.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i n1_i)))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) n1_i))
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/3 binary32) n0_i))) n0_i) n0_i)
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i) n0_i)
(+.f32 n0_i (*.f32 n1_i (-.f32 (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 u n1_i)))))
(+.f32 n0_i (*.f32 normAngle (-.f32 (/.f32 (*.f32 u n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 u normAngle)))))
(+.f32 n0_i (*.f32 u (*.f32 n0_i (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 normAngle (/.f32 n1_i n0_i)) (sin.f32 normAngle)))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal -1/3 binary32))))) n1_i)))
Outputs
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i) n0_i)
Calls

4 calls:

13.0ms
n0_i
9.0ms
normAngle
8.0ms
u
8.0ms
n1_i
Results
AccuracySegmentsBranch
99.5%1normAngle
99.5%1u
99.5%1n0_i
99.5%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes64.0ms (0.4%)

Counts
22 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(+.f32 n0_i (*.f32 n1_i u))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(+.f32 n0_i (*.f32 u (-.f32 n1_i 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 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 (*.f32 normAngle u) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
(+.f32 n0_i (*.f32 u (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (*.f32 n1_i (-.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i n1_i)))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) n1_i))
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/3 binary32) n0_i))) n0_i) n0_i)
Outputs
(+.f32 n0_i (*.f32 u (*.f32 n1_i (-.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i n1_i)))))
Calls

4 calls:

41.0ms
n0_i
8.0ms
normAngle
7.0ms
n1_i
7.0ms
u
Results
AccuracySegmentsBranch
99.3%1normAngle
99.3%1u
99.3%1n0_i
99.3%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes26.0ms (0.2%)

Counts
19 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(+.f32 n0_i (*.f32 n1_i u))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(+.f32 n0_i (*.f32 u (-.f32 n1_i 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 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 (*.f32 normAngle u) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
(+.f32 n0_i (*.f32 u (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
Outputs
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
Calls

4 calls:

8.0ms
n0_i
6.0ms
normAngle
6.0ms
n1_i
6.0ms
u
Results
AccuracySegmentsBranch
98.8%1normAngle
98.8%1n0_i
98.8%1u
98.8%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes10.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(+.f32 n0_i (*.f32 n1_i u))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
Outputs
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(+.f32 n0_i (*.f32 n1_i u))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
Calls

4 calls:

3.0ms
u
2.0ms
n1_i
2.0ms
n0_i
2.0ms
normAngle
Results
AccuracySegmentsBranch
81.7%1normAngle
81.7%1u
88.4%3n0_i
88.4%3n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes6.0ms (0%)

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

3 calls:

2.0ms
n1_i
2.0ms
u
2.0ms
n0_i
Results
AccuracySegmentsBranch
81.7%1u
81.7%1n1_i
81.7%1n0_i
Compiler

Compiled 15 to 12 computations (20% saved)

regimes7.0ms (0%)

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

4 calls:

2.0ms
n0_i
2.0ms
u
1.0ms
normAngle
1.0ms
n1_i
Results
AccuracySegmentsBranch
50.5%1normAngle
63.4%3n0_i
62.2%3n1_i
57.0%2u
Compiler

Compiled 20 to 16 computations (20% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
n1_i
1.0ms
u
1.0ms
n0_i
Results
AccuracySegmentsBranch
50.5%1u
50.5%1n1_i
50.5%1n0_i
Compiler

Compiled 15 to 12 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
4.2479577629912305e-21
7.018163824005013e-21
0.0ms
-7.242530651542425e-15
-3.409821126422832e-16
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
6.020700828885459e-27
7.643692393042282e-27
0.0ms
-6.105690093005835e-17
-3.108750544510681e-17
Compiler

Compiled 36 to 23 computations (36.1% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
36×*-commutative
36×+-commutative
24×sub-neg
14×neg-sub0
14×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059378
199374
2126374
3142374
4150374
5152374
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i) n0_i)
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i) n0_i)
(+.f32 n0_i (*.f32 u (*.f32 n1_i (-.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i n1_i)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n0_i #s(literal -2951479/590295810358705651712 binary32)) (+.f32 n0_i (*.f32 (neg.f32 n0_i) u)) (if (<=.f32 n0_i #s(literal 1547425/309485009821345068724781056 binary32)) (+.f32 n0_i (*.f32 n1_i u)) (+.f32 n0_i (*.f32 (neg.f32 n0_i) u))))
(+.f32 n0_i (*.f32 n1_i u))
(if (<=.f32 n0_i #s(literal -15111573/302231454903657293676544 binary32)) n0_i (if (<=.f32 n0_i #s(literal 1135815/162259276829213363391578010288128 binary32)) (*.f32 n1_i u) n0_i))
n0_i
Outputs
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i) n0_i)
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 n1_i #s(literal -1/6 binary32))))) n0_i) n0_i)
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i) n0_i)
(+.f32 n0_i (*.f32 u (*.f32 n1_i (-.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i n1_i)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n0_i #s(literal -2951479/590295810358705651712 binary32)) (+.f32 n0_i (*.f32 (neg.f32 n0_i) u)) (if (<=.f32 n0_i #s(literal 1547425/309485009821345068724781056 binary32)) (+.f32 n0_i (*.f32 n1_i u)) (+.f32 n0_i (*.f32 (neg.f32 n0_i) u))))
(if (or (<=.f32 n0_i #s(literal -2951479/590295810358705651712 binary32)) (not (<=.f32 n0_i #s(literal 1547425/309485009821345068724781056 binary32)))) (+.f32 n0_i (*.f32 u (neg.f32 n0_i))) (+.f32 n0_i (*.f32 u n1_i)))
(if (or (<=.f32 n0_i #s(literal -2951479/590295810358705651712 binary32)) (not (<=.f32 n0_i #s(literal 1547425/309485009821345068724781056 binary32)))) (-.f32 n0_i (*.f32 u n0_i)) (+.f32 n0_i (*.f32 u n1_i)))
(+.f32 n0_i (*.f32 n1_i u))
(+.f32 n0_i (*.f32 u n1_i))
(if (<=.f32 n0_i #s(literal -15111573/302231454903657293676544 binary32)) n0_i (if (<=.f32 n0_i #s(literal 1135815/162259276829213363391578010288128 binary32)) (*.f32 n1_i u) n0_i))
(if (<=.f32 n0_i #s(literal -15111573/302231454903657293676544 binary32)) n0_i (if (<=.f32 n0_i #s(literal 1135815/162259276829213363391578010288128 binary32)) (*.f32 u n1_i) n0_i))
n0_i

soundness2.4s (16.3%)

Rules
1600×fma-neg
1510×fma-neg
1386×fma-neg
1090×fma-define
1082×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039465
1653465
27582465
059913568
1163913080
2599513066
095845180
1284541280
068077432
1187475813
2715775813
071615210
1188414560
2680214422
036188
1517169
27494169
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
1×node limit
Compiler

Compiled 811 to 297 computations (63.4% saved)

preprocess43.0ms (0.3%)

Remove

(abs normAngle)

Compiler

Compiled 424 to 240 computations (43.4% saved)

end0.0ms (0%)

Profiling

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