Curve intersection, scale width based on ribbon orientation

Time bar (total: 1.2min)

analyze1.7s (2.4%)

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 45 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 480.0ms (39.7% of total)
ival-sin: 392.0ms (32.4% of total)
ival-<=: 151.0ms (12.5% of total)
ival-div: 83.0ms (6.9% of total)
ival-pi: 32.0ms (2.6% of total)
ival-and: 28.0ms (2.3% of total)
const: 20.0ms (1.7% of total)
ival-sub: 14.0ms (1.2% of total)
ival-add: 10.0ms (0.8% of total)
backward-pass: 1.0ms (0.1% of total)

sample15.1s (21.1%)

Results
7.3s8256×0valid
2.4s2043×0precondition
Precisions
Click to see histograms. Total time spent on operations: 7.5s
ival-mult: 1.8s (23.5% of total)
ival-sin: 1.5s (20.7% of total)
ival-<=: 1.2s (16.6% of total)
ival-div: 1.1s (14.5% of total)
ival-sub: 633.0ms (8.5% of total)
ival-pi: 406.0ms (5.4% of total)
ival-and: 391.0ms (5.2% of total)
ival-add: 210.0ms (2.8% of total)
const: 195.0ms (2.6% of total)
backward-pass: 15.0ms (0.2% of total)
Bogosity

preprocess531.0ms (0.7%)

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)

explain1.5s (2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
250-24(2.2993587005056057e-38 2.5508841645205393e-5 9.96441319213448e-13 9.183535043533197e-10)(*.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
989.0ms504×0valid
30.0ms8×3exit
Compiler

Compiled 241 to 130 computations (46.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 802.0ms
ival-mult: 463.0ms (57.7% of total)
ival-sub: 139.0ms (17.3% of total)
ival-sin: 101.0ms (12.6% of total)
ival-div: 82.0ms (10.2% of total)
const: 8.0ms (1% of total)
backward-pass: 5.0ms (0.6% of total)
ival-add: 4.0ms (0.5% of total)

eval26.0ms (0%)

Compiler

Compiled 85 to 43 computations (49.4% saved)

prune8.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.3%
(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))
▶97.9%
(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)))
▶74.3%
(/.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))
▶97.9%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
▶74.2%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
Compiler

Compiled 252 to 170 computations (32.5% saved)

localize3.6s (5%)

Algorithm
5×egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
✓cost-diff64
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
✓cost-diff64
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓cost-diff3392
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
✓cost-diff64
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓cost-diff64
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓cost-diff64
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓cost-diff256
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
✓cost-diff0
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
✓cost-diff0
(/.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))
✓cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
✓cost-diff0
(sin.f32 normAngle)
✓cost-diff0
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
✓cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
✓cost-diff3264
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy99.2%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
✓accuracy98.6%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy96.8%
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy99.5%
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓accuracy98.6%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy95.5%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy99.7%
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
✓accuracy99.7%
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy74.6%
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
✓accuracy99.7%
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
✓accuracy99.7%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy74.4%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
✓accuracy99.5%
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy99.2%
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
✓accuracy95.9%
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
Rules
2212×fma-define
2196×fma-define
2192×fma-define
1890×fma-define
1654×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024297
138297
256297
380297
4130297
5174297
6243297
7338297
8532297
9627297
10757297
111173297
122267297
133356294
143764284
153925284
164137284
174263284
024316
147310
297310
3179310
4259310
5306310
6375310
7478310
8731310
9846310
101049310
111615310
122754310
133752310
143795310
153800310
163800310
023264
135264
247264
365264
4112264
5155264
6224264
7313264
8485264
9555264
10650264
11867264
121675264
132882264
143641264
153757264
163825264
173825264
025392
149356
296353
3176343
4242343
5289343
6358343
7461343
8716343
9833343
101022343
111594343
122733343
133727343
143770343
153775343
163775343
025328
145298
282295
3155285
4235285
5284285
6353285
7456285
8711285
9828285
101017285
111601285
122742285
133741285
143784285
153789285
163789285
Stop Event
1×saturated
1×saturated
1×saturated
1×saturated
1×saturated
Calls
Call 1
Inputs
(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)) (/.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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (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 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
(/.f32 n1_i (sin.f32 normAngle))
n1_i
Call 2
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
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 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i))
(*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
Call 3
Inputs
(/.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)
Outputs
(/.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 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_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))
(fma.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)
#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)
Call 4
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 #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
Outputs
(*.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 #s(literal 1 binary32) (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 (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) (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 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
u
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)
(sin.f32 (*.f32 u normAngle))
(sin.f32 (*.f32 normAngle u))
(*.f32 u normAngle)
(*.f32 normAngle u)
n1_i
Call 5
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
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)))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(sin.f32 normAngle)
n0_i
(*.f32 (/.f32 (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
Results
1.1s252×0valid
46.0ms4×3exit
Compiler

Compiled 409 to 170 computations (58.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 874.0ms
ival-mult: 245.0ms (28% of total)
ival-sub: 178.0ms (20.4% of total)
ival-sin: 175.0ms (20% of total)
ival-fma: 133.0ms (15.2% of total)
ival-div: 81.0ms (9.3% of total)
backward-pass: 31.0ms (3.5% of total)
ival-add: 19.0ms (2.2% of total)
const: 12.0ms (1.4% of total)

series489.0ms (0.7%)

Counts
20 → 644
Calls
Call 1
Inputs
#<alt (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))>
#<alt (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)>
#<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 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))>
#<alt (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)>
#<alt (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)>
#<alt (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))>
#<alt (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))>
#<alt (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)>
#<alt (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)>
#<alt (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))>
#<alt (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))>
#<alt (sin.f32 normAngle)>
#<alt (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))>
#<alt (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)>
#<alt (fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))>
Outputs
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))))) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle))))))) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt u>
#<alt (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))))>
#<alt (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))) (*.f32 #s(literal 1/120 binary32) u))))) (*.f32 #s(literal -1/6 binary32) u))))>
#<alt (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))) (*.f32 #s(literal 1/120 binary32) u)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) u) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))) (*.f32 #s(literal 1/120 binary32) u))))) (*.f32 #s(literal -1/6 binary32) u))))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))))))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))>
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#<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)))>
#<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 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))))>
Calls

165 calls:

TimeVariablePointExpression
22.0ms
normAngle
@0
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* u normAngle)) (* (/ 1 (sin normAngle)) n1_i)))
21.0ms
normAngle
@-inf
(+ (* (/ (sin (* (- 1 u) normAngle)) (sin normAngle)) n0_i) (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i))
21.0ms
normAngle
@0
(* (- 1 u) normAngle)
20.0ms
normAngle
@inf
(+ (* (/ (sin (* (- 1 u) normAngle)) (sin normAngle)) n0_i) (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i))
20.0ms
normAngle
@-inf
(* (/ 1 (sin normAngle)) (+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)))

rewrite2.6s (3.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
039878
1652813
27584813
Stop Event
1×node limit
Counts
20 → 781
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) 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))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(*.f32 (sin.f32 (*.f32 (-.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))
(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 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (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 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 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))) n1_i)
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
Outputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32))) (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 u normAngle))))
(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u normAngle))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(*.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 u normAngle)) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sqrt.f32 (sin.f32 normAngle))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32)))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 (*.f32 u normAngle))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sqrt.f32 (sin.f32 (*.f32 u normAngle)))) (sqrt.f32 (sin.f32 (*.f32 u normAngle))))
(pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (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))) (sin.f32 normAngle)) #s(literal 1 binary32))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32))) (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (sin.f32 normAngle))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32)))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
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(pow.f32 (sqrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) #s(literal -1 binary32))
(neg.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) 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 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.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 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 1 binary32)))

simplify5.2s (7.3%)

Algorithm
1×egg-herbie
Rules
902×distribute-rgt-in
900×distribute-lft-in
860×*-commutative
452×+-commutative
432×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01452109539
13793103989
Stop Event
1×node limit
Counts
1425 → 753
Calls
Call 1
Inputs
(/.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))
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))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))))))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(-.f32 #s(literal 1 binary32) u)
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u)
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u)
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u)
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
normAngle
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
n0_i
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle))) (sin.f32 normAngle))))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
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n0_i
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(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
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(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
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(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
u
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#s(literal 1 binary32)
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(-.f32 #s(literal 1 binary32) u)
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(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
n0_i
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(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
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(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
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(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(*.f32 n1_i u)
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normAngle
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n0_i
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n0_i
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(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
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(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.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 u normAngle)) (/.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 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_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 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 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 u normAngle)) n1_i) #s(literal 2 binary32)))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (*.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_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 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 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 u normAngle)) n1_i) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_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 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) #s(literal -1 binary32))
(neg.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) 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 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.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 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 1 binary32)))
Outputs
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 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 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 (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 (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (/.f32 (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 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.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)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (/.f32 (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))
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))))
(+.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))))
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.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 #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 u #s(literal 1/6 binary32))))))
(+.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))))
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.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 #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 u #s(literal 1/6 binary32))))))
(/.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))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 normAngle) (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))
(-.f32 #s(literal 1 binary32) (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle))))
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))))))
(+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))))))
(+.f32 #s(literal 1 binary32) (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle)))))))))
(+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (*.f32 u (fma.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle)))))) (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(-.f32 #s(literal 1 binary32) u)
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u)
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n0_i
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n0_i
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(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
(*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))))))
(*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)))))))
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(*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal 1/120 binary32) (+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))))))))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))))))))))))))
(*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i)))))))))))))
(*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i)))))))))))))
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(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
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u
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#s(literal 1 binary32)
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n0_i
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(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1/6 binary32))) normAngle)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 7/360 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))) normAngle)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 7/360 binary32))))) normAngle)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 7/360 binary32) (*.f32 #s(literal 31/15120 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))))) normAngle)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 7/360 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 31/15120 binary32))))))) normAngle)
normAngle
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/6 binary32)))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 2 binary32))))) #s(literal 1/6 binary32)))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal -1/6 binary32)))))
n0_i
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.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 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))) n0_i) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))))
(+.f32 n0_i (*.f32 u (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))) n0_i) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (*.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 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle))) (sin.f32 normAngle))))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (fma.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) n0_i) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle)) (sin.f32 normAngle))))))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))))
(+.f32 n0_i (*.f32 u (-.f32 (fma.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) n0_i) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle)) (sin.f32 normAngle))))))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(fma.f32 (/.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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i))) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (*.f32 u n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))
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(/.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 u normAngle)) n1_i) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))) (*.f32 (sin.f32 normAngle) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))))
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 1 binary32)) (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (sin.f32 normAngle)))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (*.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 normAngle))))
(pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 1 binary32))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 3 binary32))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(pow.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 2 binary32))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) #s(literal -1 binary32))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(neg.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (neg.f32 (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_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))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)))
(log.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_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))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_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))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32))))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.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))))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_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))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(exp.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_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))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 1 binary32)))
(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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))

eval2.7s (3.8%)

Compiler

Compiled 44309 to 22646 computations (48.9% saved)

prune2.3s (3.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New1412211433
Fresh000
Picked505
Done000
Total1417211438
Accuracy
100.0%
Counts
1438 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
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 u n1_i))
97.5%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
▶80.6%
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
74.1%
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (*.f32 normAngle u) n1_i)) (sin.f32 normAngle))
72.7%
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
▶28.9%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
74.2%
(/.f32 (*.f32 n0_i (+.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) n0_i)))) (sin.f32 normAngle))
49.5%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
▶74.1%
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))
97.8%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
98.0%
(+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
97.4%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
▶99.3%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
34.9%
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
73.9%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 normAngle u) n1_i)))
61.7%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 normAngle) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
62.2%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
58.8%
(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))
64.4%
(*.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 (sin.f32 normAngle) n0_i))))
▶49.0%
n0_i
Compiler

Compiled 796 to 532 computations (33.2% saved)

localize1.6s (2.3%)

Algorithm
5×egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))
cost-diff0
(sin.f32 normAngle)
✓cost-diff0
(/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))
✓cost-diff0
(sin.f32 (*.f32 u normAngle))
cost-diff0
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
✓cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
✓cost-diff64
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
✓cost-diff0
(*.f32 normAngle u)
✓cost-diff0
(sin.f32 (*.f32 normAngle u))
✓cost-diff0
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
✓cost-diff0
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
✓cost-diff0
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
✓cost-diff192
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
✓cost-diff3328
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
✓cost-diff3328
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
✓accuracy99.7%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)
✓accuracy99.5%
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
✓accuracy99.1%
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))
✓accuracy75.6%
(/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))
✓accuracy100.0%
(sin.f32 (*.f32 u normAngle))
✓accuracy99.9%
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
✓accuracy99.9%
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
accuracy95.9%
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
accuracy100.0%
(sin.f32 normAngle)
✓accuracy100.0%
(sin.f32 (*.f32 normAngle u))
✓accuracy99.7%
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
✓accuracy59.5%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
✓accuracy99.9%
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
✓accuracy99.8%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
✓accuracy99.7%
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
✓accuracy99.4%
(*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
Rules
2370×fma-define
1648×fma-define
988×distribute-lft-neg-in
862×fma-neg
784×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022402
140398
291398
3253371
4754332
51815332
63434332
74858332
86434332
97822332
044
015115
119115
222115
323115
020174
131172
238168
344168
445168
024348
138348
259342
3114342
4232342
5315342
6388342
7491342
8746342
9865342
101059342
111653342
122855342
133946342
144095342
154114342
164142342
Stop Event
1×saturated
1×saturated
1×saturated
1×saturated
1×node limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))
#s(literal 1 binary32)
(/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))
(sin.f32 normAngle)
normAngle
(fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
n1_i
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
n0_i
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))
(*.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.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 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
#s(literal 1 binary32)
(/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))
(/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))
(/.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)))
(sin.f32 normAngle)
normAngle
(fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))
(sin.f32 (*.f32 u normAngle))
(sin.f32 (*.f32 normAngle u))
(*.f32 u normAngle)
(*.f32 normAngle u)
u
n1_i
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
n0_i
Call 2
Inputs
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
#s(literal 1 binary32)
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)
u
normAngle
(sin.f32 normAngle)
n1_i
Outputs
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(fma.f32 #s(literal 1 binary32) n0_i (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
#s(literal 1 binary32)
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)
u
normAngle
(sin.f32 normAngle)
n1_i
Call 3
Inputs
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
n1_i
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
u
(sin.f32 normAngle)
Outputs
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
n1_i
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
u
(sin.f32 normAngle)
Call 4
Inputs
n0_i
Outputs
n0_i
Call 5
Inputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(/.f32 (cos.f32 normAngle) (sin.f32 normAngle))
(cos.f32 normAngle)
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) n0_i)
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (*.f32 n0_i 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 n0_i (cos.f32 normAngle)))) n0_i)
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) n0_i)
(fma.f32 u (*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))) n0_i)
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (*.f32 n0_i 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 n0_i (cos.f32 normAngle)))))
(*.f32 normAngle (*.f32 (/.f32 u (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))))
(*.f32 normAngle (*.f32 u (/.f32 (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))))
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (*.f32 n0_i 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 n0_i (cos.f32 normAngle))))
(*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(*.f32 n0_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (cos.f32 normAngle)))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (cos.f32 normAngle)))
(*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (cos.f32 normAngle))
(/.f32 (cos.f32 normAngle) (sin.f32 normAngle))
(cos.f32 normAngle)
Results
588.0ms251×0valid
49.0ms4×3exit
3.0ms1×1valid
Compiler

Compiled 254 to 63 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 493.0ms
ival-sin: 249.0ms (50.5% of total)
ival-mult: 82.0ms (16.6% of total)
ival-div: 81.0ms (16.4% of total)
ival-fma: 26.0ms (5.3% of total)
ival-sub: 17.0ms (3.5% of total)
backward-pass: 15.0ms (3% of total)
const: 14.0ms (2.8% of total)
ival-cos: 5.0ms (1% of total)
ival-add: 2.0ms (0.4% of total)

series1.1s (1.5%)

Counts
17 → 492
Calls
Call 1
Inputs
#<alt (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))>
#<alt (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))>
#<alt (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (fma.f32 #s(literal 1 binary32) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i)>
#<alt (sin.f32 (*.f32 u normAngle))>
#<alt (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))>
#<alt (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))>
#<alt (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)>
#<alt (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle u)>
#<alt (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.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 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/45 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -2/945 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/45 binary32))) #s(literal 1/3 binary32))))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 u (-.f32 n1_i n0_i))>
#<alt (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle u))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle u))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n1_i)))))>
#<alt (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))>
#<alt (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))>
#<alt (*.f32 n0_i (+.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))>
#<alt (*.f32 n0_i (+.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))>
#<alt (*.f32 n0_i (+.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))>
#<alt (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i)))))>
Calls

150 calls:

TimeVariablePointExpression
658.0ms
n0_i
@-inf
(/ (sin normAngle) (+ (* (sin (* u normAngle)) n1_i) (* (sin (* normAngle (- 1 u))) n0_i)))
65.0ms
n0_i
@-inf
(+ (* 1 n0_i) (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i))
31.0ms
normAngle
@-inf
(* normAngle (/ (cos normAngle) (sin normAngle)))
20.0ms
u
@0
(/ (sin normAngle) (+ (* (sin (* u normAngle)) n1_i) (* (sin (* normAngle (- 1 u))) n0_i)))
20.0ms
normAngle
@-inf
(* u (- (* n1_i (/ normAngle (sin normAngle))) (* n0_i (* normAngle (/ (cos normAngle) (sin normAngle))))))

rewrite3.1s (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
598×associate-*r*
292×log1p-expm1-u
292×expm1-log1p-u
291×add-cube-cbrt
289×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040752
1698690
Stop Event
1×node limit
Counts
17 → 421
Calls
Call 1
Inputs
(*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(sin.f32 (*.f32 normAngle u))
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(sin.f32 (*.f32 u normAngle))
(/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 normAngle u)
(fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))
Outputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 normAngle (tan.f32 normAngle)))) #s(literal 1 binary32))
(/.f32 normAngle (tan.f32 normAngle))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 normAngle (cos.f32 normAngle))))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (/.f32 normAngle (tan.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 normAngle (tan.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 normAngle (tan.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 normAngle (tan.f32 normAngle))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (/.f32 normAngle (tan.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 normAngle (tan.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 normAngle (tan.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 normAngle (tan.f32 normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 normAngle (tan.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 normAngle (tan.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 normAngle (tan.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 normAngle (tan.f32 normAngle))) #s(literal 1 binary32)))
(+.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (*.f32 u (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))
(+.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (*.f32 (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) u))
(+.f32 (*.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 u (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i))))
(+.f32 (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u) (*.f32 (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i)) u))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))) #s(literal 1 binary32))
(pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))))
(cbrt.f32 (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(log1p.f32 (expm1.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(exp.f32 (log.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(exp.f32 (*.f32 (log.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 n0_i #s(literal 2 binary32)) (-.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))) (/.f32 (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32)) (-.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))))
(*.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i)) (sqrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i)))
(*.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i n0_i (*.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (-.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))))
(*.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (-.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i))) (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (*.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (-.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (-.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32)))) (neg.f32 (-.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32)) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i))))
(/.f32 (-.f32 (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32))) (-.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i))
(pow.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i)))
(exp.f32 (log.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i)) #s(literal 1 binary32)))
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i)
(fma.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) u n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)
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(pow.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))
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(pow.f32 (sqrt.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))
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(log.f32 (pow.f32 (exp.f32 normAngle) (-.f32 #s(literal 1 binary32) u)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(cbrt.f32 (pow.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
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(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) (+.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i)) (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i))) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i))))))
(/.f32 (+.f32 (pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (*.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i)) (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i)))) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i))))
(/.f32 (-.f32 (pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) (-.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))
(pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(cbrt.f32 (pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))
(log1p.f32 (expm1.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))
(exp.f32 (log.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 1 binary32)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i)))
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i)))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i)))
(fma.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i)))
(fma.f32 (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 normAngle u))) #s(literal 1 binary32))
(pow.f32 (*.f32 normAngle u) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 normAngle u)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 normAngle u)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) normAngle))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle u))))
(cbrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 normAngle u)))
(log1p.f32 (expm1.f32 (*.f32 normAngle u)))
(exp.f32 (log.f32 (*.f32 normAngle u)))
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle u)) #s(literal 1 binary32)))
(+.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+.f32 (*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32)) (*.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(*.f32 (sqrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (sqrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))
(pow.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))))
(cbrt.f32 (pow.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(exp.f32 (log.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) #s(literal 1 binary32)))

simplify2.2s (3.1%)

Algorithm
1×egg-herbie
Rules
1050×*-commutative
554×+-commutative
526×distribute-rgt-neg-in
518×fma-neg
498×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0168067576
1489966937
Stop Event
1×node limit
Counts
913 → 849
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/45 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -2/945 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/45 binary32))) #s(literal 1/3 binary32))))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
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n0_i
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(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
n1_i
(+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))
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(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i u)
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(*.f32 normAngle u)
(*.f32 normAngle (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 u #s(literal 3 binary32))))))
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(*.f32 normAngle u)
(*.f32 u (+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))))))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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n0_i
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))
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n0_i
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))) #s(literal 1 binary32))))
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n0_i
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
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(+.f32 n0_i (*.f32 n1_i u))
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n0_i
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n0_i
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normAngle
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(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i)))
(fma.f32 (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 normAngle u))) #s(literal 1 binary32))
(pow.f32 (*.f32 normAngle u) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 normAngle u)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 normAngle u)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) normAngle))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle u))))
(cbrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 normAngle u)))
(log1p.f32 (expm1.f32 (*.f32 normAngle u)))
(exp.f32 (log.f32 (*.f32 normAngle u)))
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle u)) #s(literal 1 binary32)))
(+.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+.f32 (*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32)) (*.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(*.f32 (sqrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (sqrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))
(pow.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))))
(cbrt.f32 (pow.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(exp.f32 (log.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) #s(literal 1 binary32)))
Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/45 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/45 binary32) (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/45 binary32) #s(literal -1/3 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -2/945 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/45 binary32))) #s(literal 1/3 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -2/945 binary32) (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/45 binary32)) #s(literal -1/3 binary32))))
(+.f32 #s(literal 1 binary32) (*.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)) #s(literal -2/945 binary32) #s(literal -1/45 binary32)) #s(literal -1/3 binary32))))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 n0_i) (*.f32 (*.f32 normAngle u) (cos.f32 normAngle))) (sin.f32 normAngle))
(*.f32 n0_i (/.f32 (neg.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 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle)))
(-.f32 (/.f32 (*.f32 (*.f32 normAngle n1_i) 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 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle)))
(-.f32 (/.f32 (*.f32 (*.f32 normAngle n1_i) 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 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle)))
(-.f32 (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(*.f32 n1_i (-.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i)))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(*.f32 n1_i (-.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i)))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(*.f32 n1_i (-.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i)))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 (neg.f32 n1_i) (fma.f32 #s(literal -1 binary32) (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i)))))
(*.f32 n1_i (neg.f32 (-.f32 (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 (neg.f32 n1_i) (fma.f32 #s(literal -1 binary32) (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i)))))
(*.f32 n1_i (neg.f32 (-.f32 (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 (neg.f32 n1_i) (fma.f32 #s(literal -1 binary32) (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i)))))
(*.f32 n1_i (neg.f32 (-.f32 (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
(fma.f32 u (-.f32 n1_i n0_i) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u) (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))))
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n1_i
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(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle))
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(*.f32 n1_i (*.f32 normAngle u))
(*.f32 (*.f32 normAngle n1_i) u)
(*.f32 normAngle (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 u #s(literal 3 binary32))))) (*.f32 n1_i u)))
(*.f32 normAngle (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (*.f32 u n1_i)))
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(*.f32 n1_i (*.f32 normAngle u))
(*.f32 (*.f32 normAngle n1_i) u)
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(*.f32 normAngle u)
(*.f32 normAngle (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 u #s(literal 3 binary32))))))
(*.f32 normAngle (+.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 1/120 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 u #s(literal 5 binary32))))))))
(*.f32 normAngle (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 u #s(literal 5 binary32))))))))
(*.f32 normAngle (+.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 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 u #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))))))))
(*.f32 normAngle (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 u #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))))))))
(*.f32 normAngle u)
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(*.f32 u (+.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) (pow.f32 u #s(literal 2 binary32)))))
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(/.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 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
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(+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
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n0_i
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))
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(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)))))
n0_i
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))) #s(literal 1 binary32))))
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n0_i
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle)))
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(+.f32 n0_i (*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
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(+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
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(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))
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(/.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 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))))
(*.f32 (neg.f32 n1_i) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (sin.f32 normAngle) n1_i))))))
(*.f32 (-.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (neg.f32 (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (sin.f32 normAngle) n1_i)))) (neg.f32 n1_i))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))))
(*.f32 (neg.f32 n1_i) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (sin.f32 normAngle) n1_i))))))
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(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))))
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(/.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 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(/.f32 (fma.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 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(/.f32 (fma.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 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(/.f32 (fma.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 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
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(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
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(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))))
(*.f32 (neg.f32 n0_i) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))))
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(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))))
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(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (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 (neg.f32 n0_i) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))))
(*.f32 (-.f32 (*.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (neg.f32 (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (neg.f32 n0_i))
normAngle
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u))
(*.f32 (neg.f32 normAngle) u)
(*.f32 u (neg.f32 normAngle))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u))
(*.f32 (neg.f32 normAngle) u)
(*.f32 u (neg.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
(*.f32 (neg.f32 u) (+.f32 normAngle (/.f32 (neg.f32 normAngle) u)))
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 u))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
(*.f32 (neg.f32 u) (+.f32 normAngle (/.f32 (neg.f32 normAngle) u)))
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 u))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
(*.f32 (neg.f32 u) (+.f32 normAngle (/.f32 (neg.f32 normAngle) u)))
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 u))
(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 normAngle (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))))))
(*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))))))))
(*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (*.f32 (*.f32 n0_i #s(literal 1/120 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 normAngle))
(*.f32 (sin.f32 normAngle) n0_i)
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle))))) (*.f32 n0_i (sin.f32 normAngle)))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle u) (cos.f32 normAngle))) (*.f32 (sin.f32 normAngle) n0_i))
(-.f32 (*.f32 (sin.f32 normAngle) n0_i) (*.f32 n0_i (*.f32 (*.f32 normAngle u) (cos.f32 normAngle))))
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (sin.f32 normAngle))))))))
(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) n0_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) n0_i) (*.f32 (sin.f32 normAngle) u))))))
(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) n0_i) (*.f32 (sin.f32 normAngle) u))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) n0_i))))
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (sin.f32 normAngle)))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle))))))))))
(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) n0_i) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (sin.f32 normAngle))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)))))))))
(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (-.f32 (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (sin.f32 normAngle))) (*.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle))))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) n0_i))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
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(pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) #s(literal 1 binary32))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (*.f32 (/.f32 normAngle (tan.f32 normAngle)) n0_i)))
(-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
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(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (*.f32 (/.f32 normAngle (tan.f32 normAngle)) n0_i)))
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(pow.f32 (pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
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(pow.f32 (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32))
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(-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
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(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (*.f32 (/.f32 normAngle (tan.f32 normAngle)) n0_i)))
(-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
(cbrt.f32 (pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (*.f32 (/.f32 normAngle (tan.f32 normAngle)) n0_i)))
(-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
(expm1.f32 (log1p.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))
(expm1.f32 (log1p.f32 (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
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(-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
(exp.f32 (log.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (*.f32 (/.f32 normAngle (tan.f32 normAngle)) n0_i)))
(-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
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(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (*.f32 (/.f32 normAngle (tan.f32 normAngle)) n0_i)))
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(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i)))
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(*.f32 normAngle u)
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(*.f32 normAngle u)
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle u)) #s(literal 1 binary32)))
(*.f32 normAngle u)
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(*.f32 #s(literal 1 binary32) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(*.f32 (sqrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (sqrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (*.f32 n1_i (*.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i))))
(pow.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal 1 binary32))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(pow.f32 (cbrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) #s(literal 3 binary32))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(pow.f32 (pow.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(pow.f32 (sqrt.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) #s(literal 2 binary32))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)))
(fabs.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))))
(log.f32 (exp.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(cbrt.f32 (pow.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal 3 binary32)))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(expm1.f32 (log1p.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(exp.f32 (log.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) #s(literal 1 binary32)))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))

eval1.3s (1.8%)

Compiler

Compiled 33070 to 14492 computations (56.2% saved)

prune2.0s (2.8%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New1054191073
Fresh9716
Picked415
Done000
Total1067271094
Accuracy
100.0%
Counts
1094 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.9%
(fma.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) u n0_i)
74.1%
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (*.f32 normAngle u) n1_i)) (sin.f32 normAngle))
28.6%
(/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle))
72.7%
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
▶28.7%
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
49.5%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
74.1%
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
97.0%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))
48.8%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) n0_i))
▶97.8%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
35.2%
(+.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)))))
97.4%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
70.9%
(+.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle)))
70.9%
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
98.5%
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
▶98.5%
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
▶99.3%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
99.0%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i #s(literal 1 binary32)))))
97.7%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
80.2%
(+.f32 n0_i (*.f32 u n1_i))
34.9%
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
73.9%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 normAngle u) n1_i)))
98.7%
(*.f32 (-.f32 (*.f32 (neg.f32 normAngle) (/.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (sin.f32 normAngle)))) n1_i)) (neg.f32 n1_i))
▶34.8%
(*.f32 u n1_i)
80.5%
(*.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
50.5%
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))
✓49.0%
n0_i
Compiler

Compiled 921 to 626 computations (32% saved)

localize3.0s (4.2%)

Algorithm
5×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f32 #s(literal 1 binary32) u)
✓cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
cost-diff64
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓cost-diff64
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓cost-diff0
(*.f32 #s(literal -1/6 binary32) n1_i)
✓cost-diff0
(*.f32 #s(literal -1/2 binary32) n0_i)
✓cost-diff0
(*.f32 #s(literal -1/6 binary32) n0_i)
✓cost-diff0
(pow.f32 normAngle #s(literal 2 binary32))
cost-diff0
(sin.f32 normAngle)
cost-diff0
(*.f32 normAngle u)
✓cost-diff0
(*.f32 n1_i (*.f32 normAngle u))
✓cost-diff0
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
✓cost-diff0
(*.f32 u n1_i)
✓cost-diff0
(/.f32 normAngle (sin.f32 normAngle))
cost-diff0
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
✓cost-diff64
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
✓cost-diff64
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
✓accuracy99.9%
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓accuracy99.8%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
accuracy95.5%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy99.7%
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
✓accuracy99.1%
(*.f32 #s(literal -1/6 binary32) n0_i)
✓accuracy99.0%
(-.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)))
✓accuracy98.9%
(*.f32 #s(literal -1/6 binary32) n1_i)
accuracy100.0%
(*.f32 normAngle u)
accuracy100.0%
(sin.f32 normAngle)
✓accuracy99.7%
(*.f32 n1_i (*.f32 normAngle u))
✓accuracy59.5%
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
✓accuracy100.0%
(*.f32 u n1_i)
✓accuracy99.9%
(/.f32 normAngle (tan.f32 normAngle))
accuracy99.9%
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
✓accuracy99.8%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
✓accuracy99.7%
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
Rules
2986×fma-define
1716×fma-neg
1688×fma-define
1168×cancel-sign-sub-inv
1164×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021316
136312
269312
3162285
4427285
5873285
61598285
72712285
84400285
95816285
105957285
115973285
125978285
136604285
146738285
156834285
166878285
176878285
186878285
196878285
206878285
0821
1921
01490
12090
23590
35790
46890
025461
146375
2118351
3326351
41098351
53788351
022244
140226
270226
3126226
4203226
5298226
6453226
7700226
81100226
91413226
102006226
112169226
122230226
132293226
142297226
152299226
162306226
172312226
Stop Event
1×saturated
1×node limit
1×saturated
1×saturated
1×saturated
Calls
Call 1
Inputs
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i
Outputs
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (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
Call 2
Inputs
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
n0_i
(*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i))
u
(-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(*.f32 #s(literal -1/6 binary32) n0_i)
#s(literal -1/6 binary32)
(+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(*.f32 #s(literal -1/2 binary32) n0_i)
#s(literal -1/2 binary32)
(*.f32 #s(literal -1/6 binary32) n1_i)
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))) n0_i))))
(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)
n0_i
(*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i))
(*.f32 u (+.f32 n1_i (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))) n0_i)))
(*.f32 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))
(*.f32 u (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))
(*.f32 u (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i) n0_i))
u
(-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)
(+.f32 n1_i (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))) n0_i))
(-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) n1_i) n0_i)
(-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i)
(-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i) n0_i)
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) n1_i)
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i)
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32))))
(+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
(*.f32 #s(literal -1/6 binary32) n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 n1_i #s(literal -1/6 binary32)))
(fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))
(*.f32 #s(literal -1/2 binary32) n0_i)
(*.f32 n0_i #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
(*.f32 #s(literal -1/6 binary32) n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
Call 3
Inputs
(/.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)
Outputs
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(*.f32 n1_i (*.f32 normAngle u))
n1_i
(*.f32 normAngle u)
normAngle
u
(sin.f32 normAngle)
Call 4
Inputs
(*.f32 u n1_i)
u
n1_i
Outputs
(*.f32 u n1_i)
u
n1_i
Call 5
Inputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))
(/.f32 normAngle (tan.f32 normAngle))
(tan.f32 normAngle)
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle) n0_i)
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))
(*.f32 normAngle (*.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) u))
(*.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle))
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))
(*.f32 normAngle (/.f32 n0_i (tan.f32 normAngle)))
(/.f32 normAngle (tan.f32 normAngle))
(tan.f32 normAngle)
Results
892.0ms251×0valid
50.0ms5×3exit
Compiler

Compiled 299 to 132 computations (55.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 704.0ms
ival-mult: 304.0ms (43.2% of total)
ival-add: 127.0ms (18% of total)
ival-sub: 69.0ms (9.8% of total)
ival-div: 68.0ms (9.7% of total)
backward-pass: 49.0ms (7% of total)
ival-pow: 45.0ms (6.4% of total)
ival-tan: 20.0ms (2.8% of total)
ival-sin: 11.0ms (1.6% of total)
const: 10.0ms (1.4% of total)

series353.0ms (0.5%)

Counts
18 → 344
Calls
Call 1
Inputs
#<alt (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))>
#<alt (/.f32 normAngle (tan.f32 normAngle))>
#<alt (*.f32 u n1_i)>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (*.f32 normAngle u))>
#<alt (*.f32 #s(literal -1/6 binary32) n1_i)>
#<alt (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))>
#<alt (*.f32 #s(literal -1/6 binary32) n0_i)>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))>
#<alt (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)>
#<alt (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))>
#<alt (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)>
#<alt (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))>
#<alt (/.f32 normAngle (sin.f32 normAngle))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (*.f32 #s(literal -1/2 binary32) n0_i)>
#<alt (-.f32 #s(literal 1 binary32) u)>
Outputs
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 u (-.f32 n1_i n0_i))>
#<alt (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))>
#<alt (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 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 n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 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 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -2/45 binary32) n0_i) (*.f32 #s(literal 17/315 binary32) n0_i))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))))))))))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
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#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
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#<alt (*.f32 n1_i u)>
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#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n1_i u)>
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#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
#<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 #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 1/3 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 1/3 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_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 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (+.f32 (*.f32 #s(literal 2/15 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -2/45 binary32) n0_i) (*.f32 #s(literal 17/315 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 #s(literal 1/120 binary32) n1_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))))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 7/360 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 7/360 binary32) (*.f32 #s(literal 31/15120 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))>
#<alt (*.f32 #s(literal -1 binary32) u)>
#<alt (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))>
#<alt (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))>
#<alt (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) u)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))))>
Calls

120 calls:

TimeVariablePointExpression
86.0ms
n1_i
@0
(* (pow normAngle 2) (- (* -1/6 n0_i) (+ (* -1/2 n0_i) (* -1/6 n1_i))))
37.0ms
n1_i
@inf
(* -1/6 n1_i)
25.0ms
n1_i
@0
(+ n0_i (* u (- (* n1_i (/ normAngle (sin normAngle))) (* n0_i (/ normAngle (tan normAngle))))))
18.0ms
n1_i
@0
(/ (* n1_i (* normAngle u)) (sin normAngle))
17.0ms
n0_i
@-inf
(+ (* (- 1 u) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

rewrite892.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
349×log1p-expm1-u
349×expm1-log1p-u
341×add-cube-cbrt
340×add-exp-log
339×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044556
1768552
Stop Event
1×node limit
Counts
18 → 330
Calls
Call 1
Inputs
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(/.f32 normAngle (tan.f32 normAngle))
(*.f32 u n1_i)
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 normAngle u))
(*.f32 #s(literal -1/6 binary32) n1_i)
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))
(*.f32 #s(literal -1/6 binary32) n0_i)
(*.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 (-.f32 #s(literal 1 binary32) u) n0_i)
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
(/.f32 normAngle (sin.f32 normAngle))
(pow.f32 normAngle #s(literal 2 binary32))
(*.f32 #s(literal -1/2 binary32) n0_i)
(-.f32 #s(literal 1 binary32) u)
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))) #s(literal 1 binary32))
(pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 u) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))))
(cbrt.f32 (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))))
(log1p.f32 (expm1.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))))
(exp.f32 (log.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))))
(exp.f32 (*.f32 (log.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)) (sqrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))))))
(pow.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)))
(exp.f32 (log.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)) #s(literal 1 binary32)))
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(fma.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) u n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(fma.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(fma.f32 (sqrt.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))) (sqrt.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 normAngle (tan.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 normAngle (tan.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 normAngle (tan.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 normAngle (tan.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 normAngle (tan.f32 normAngle))) (sqrt.f32 (/.f32 normAngle (tan.f32 normAngle))))
(pow.f32 (/.f32 normAngle (tan.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 normAngle (tan.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 normAngle (tan.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 normAngle (tan.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (tan.f32 normAngle) normAngle) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 normAngle (tan.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 normAngle (tan.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 normAngle (tan.f32 normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (tan.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 normAngle (tan.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 normAngle (tan.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 normAngle (tan.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 normAngle (tan.f32 normAngle))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u n1_i))) #s(literal 1 binary32))
(pow.f32 (*.f32 u n1_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 u n1_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 u n1_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u n1_i)) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 u) n1_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 u n1_i))))
(cbrt.f32 (pow.f32 (*.f32 u n1_i) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 u n1_i)))
(log1p.f32 (expm1.f32 (*.f32 u n1_i)))
(exp.f32 (log.f32 (*.f32 u n1_i)))
(exp.f32 (*.f32 (log.f32 (*.f32 u n1_i)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))) #s(literal 1 binary32))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(*.f32 (*.f32 n1_i (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))))
(*.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))))
(pow.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 n1_i (*.f32 u normAngle))) #s(literal -1 binary32))
(log.f32 (pow.f32 (exp.f32 n1_i) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 n1_i (*.f32 u normAngle)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 n1_i (*.f32 u normAngle)) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n1_i (*.f32 u normAngle)))) #s(literal 1 binary32))
(pow.f32 (*.f32 n1_i (*.f32 u normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n1_i (*.f32 u normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n1_i (*.f32 u normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n1_i (*.f32 u normAngle))) #s(literal 2 binary32))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u) normAngle) n1_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i (*.f32 u normAngle)))))
(cbrt.f32 (pow.f32 (*.f32 n1_i (*.f32 u normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (*.f32 u normAngle) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 u normAngle) #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 n1_i (*.f32 u normAngle))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (*.f32 u normAngle))))
(exp.f32 (log.f32 (*.f32 n1_i (*.f32 u normAngle))))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (*.f32 u normAngle))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n1_i #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 n1_i #s(literal -1/6 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 3 binary32))
(pow.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) #s(literal -1/216 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 n1_i) #s(literal -1/6 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i #s(literal -1/6 binary32)))))
(cbrt.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) #s(literal -1/216 binary32)))
(expm1.f32 (log1p.f32 (*.f32 n1_i #s(literal -1/6 binary32))))
(log1p.f32 (expm1.f32 (*.f32 n1_i #s(literal -1/6 binary32))))
(exp.f32 (log.f32 (*.f32 n1_i #s(literal -1/6 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (neg.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))))
(+.f32 (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32))))) (sqrt.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))))
(+.f32 (fma.f32 n0_i #s(literal -1/6 binary32) (neg.f32 (*.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) #s(literal 1 binary32) (*.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 1 binary32))))
(+.f32 (fma.f32 n0_i #s(literal -1/6 binary32) (neg.f32 (*.f32 (cbrt.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) (pow.f32 (cbrt.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32))))) (pow.f32 (cbrt.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) (pow.f32 (cbrt.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) #s(literal 2 binary32)))))
(+.f32 (fma.f32 #s(literal -1/6 binary32) n0_i (neg.f32 (*.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) #s(literal 1 binary32) (*.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 1 binary32))))
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(fma.f32 (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (neg.f32 n0_i) (/.f32 normAngle (tan.f32 normAngle))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 normAngle (sin.f32 normAngle))) (sqrt.f32 (/.f32 normAngle (sin.f32 normAngle))))
(pow.f32 (/.f32 normAngle (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 normAngle (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) normAngle) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 normAngle (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 normAngle (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 normAngle (sin.f32 normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 normAngle (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 normAngle (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 normAngle (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 normAngle normAngle)
(*.f32 #s(literal 1 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 (cbrt.f32 (pow.f32 normAngle #s(literal 4 binary32))) (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)))
(log.f32 (exp.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(exp.f32 (log.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n0_i #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 n0_i #s(literal -1/2 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 3 binary32))
(pow.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/8 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) n0_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n0_i #s(literal -1/2 binary32)))))
(cbrt.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/8 binary32)))
(expm1.f32 (log1p.f32 (*.f32 n0_i #s(literal -1/2 binary32))))
(log1p.f32 (expm1.f32 (*.f32 n0_i #s(literal -1/2 binary32))))
(exp.f32 (log.f32 (*.f32 n0_i #s(literal -1/2 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 u))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (cbrt.f32 (-.f32 #s(literal 1 binary32) u)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) u))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))
(log.f32 (exp.f32 (-.f32 #s(literal 1 binary32) u)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 #s(literal 1 binary32) u))))
(cbrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (-.f32 #s(literal 1 binary32) u)))
(log1p.f32 (expm1.f32 (-.f32 #s(literal 1 binary32) u)))
(exp.f32 (log1p.f32 (neg.f32 u)))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 1 binary32)))

simplify1.6s (2.2%)

Algorithm
1×egg-herbie
Rules
1298×fma-define
1274×fma-neg
870×*-commutative
608×+-commutative
578×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0111135470
1282933102
2772533092
Stop Event
1×node limit
Counts
674 → 661
Calls
Call 1
Inputs
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 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 n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 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 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -2/45 binary32) n0_i) (*.f32 #s(literal 17/315 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 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))
(/.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 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(+.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)))
(+.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)))
(+.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)))
(*.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 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))))))
(*.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))))))
(*.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))))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 1 binary32))))
(*.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))))
(*.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))))
(*.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))))
n0_i
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))
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#s(literal 1 binary32)
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(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 n1_i u)
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(*.f32 n1_i u)
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(*.f32 n1_i u)
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(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
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(*.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))) #s(literal 2 binary32))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))))
(pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) #s(literal 2 binary32))
(log.f32 (exp.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))))
(cbrt.f32 (pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(log1p.f32 (expm1.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(exp.f32 (log.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(exp.f32 (*.f32 (log.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) #s(literal 1 binary32)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (neg.f32 n0_i) (/.f32 normAngle (tan.f32 normAngle))))
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (neg.f32 (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (*.f32 (neg.f32 n0_i) (/.f32 normAngle (tan.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (neg.f32 n0_i) (/.f32 normAngle (tan.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (neg.f32 n0_i) (/.f32 normAngle (tan.f32 normAngle))))
(fma.f32 (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (neg.f32 n0_i) (/.f32 normAngle (tan.f32 normAngle))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 normAngle (sin.f32 normAngle))) (sqrt.f32 (/.f32 normAngle (sin.f32 normAngle))))
(pow.f32 (/.f32 normAngle (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 normAngle (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) normAngle) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 normAngle (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 normAngle (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 normAngle (sin.f32 normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 normAngle (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 normAngle (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 normAngle (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 normAngle normAngle)
(*.f32 #s(literal 1 binary32) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 (cbrt.f32 (pow.f32 normAngle #s(literal 4 binary32))) (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)))
(log.f32 (exp.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(exp.f32 (log.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n0_i #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 n0_i #s(literal -1/2 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 3 binary32))
(pow.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/8 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) n0_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n0_i #s(literal -1/2 binary32)))))
(cbrt.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/8 binary32)))
(expm1.f32 (log1p.f32 (*.f32 n0_i #s(literal -1/2 binary32))))
(log1p.f32 (expm1.f32 (*.f32 n0_i #s(literal -1/2 binary32))))
(exp.f32 (log.f32 (*.f32 n0_i #s(literal -1/2 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 u))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (cbrt.f32 (-.f32 #s(literal 1 binary32) u)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) u))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))
(log.f32 (exp.f32 (-.f32 #s(literal 1 binary32) u)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 #s(literal 1 binary32) u))))
(cbrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (-.f32 #s(literal 1 binary32) u)))
(log1p.f32 (expm1.f32 (-.f32 #s(literal 1 binary32) u)))
(exp.f32 (log1p.f32 (neg.f32 u)))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 1 binary32)))
Outputs
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.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)))
(neg.f32 (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle)))))
(/.f32 (*.f32 (*.f32 u (cos.f32 normAngle)) (*.f32 normAngle n0_i)) (neg.f32 (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 (*.f32 (*.f32 n1_i normAngle) u) (sin.f32 normAngle)))
(-.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (*.f32 u (/.f32 (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 (*.f32 (*.f32 n1_i normAngle) u) (sin.f32 normAngle)))
(-.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (*.f32 u (/.f32 (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 (*.f32 (*.f32 n1_i normAngle) u) (sin.f32 normAngle)))
(-.f32 (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (*.f32 u (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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(/.f32 (*.f32 normAngle #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 normAngle #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(*.f32 (sqrt.f32 (/.f32 normAngle (sin.f32 normAngle))) (sqrt.f32 (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 normAngle #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(pow.f32 (/.f32 normAngle (sin.f32 normAngle)) #s(literal 1 binary32))
(/.f32 (*.f32 normAngle #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(pow.f32 (cbrt.f32 (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32))
(/.f32 (*.f32 normAngle #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(pow.f32 (pow.f32 (/.f32 normAngle (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (*.f32 normAngle #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(pow.f32 (sqrt.f32 (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32))
(/.f32 (*.f32 normAngle #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(pow.f32 (/.f32 (sin.f32 normAngle) normAngle) #s(literal -1 binary32))
(/.f32 (*.f32 normAngle #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(log.f32 (exp.f32 (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 normAngle #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 normAngle (sin.f32 normAngle)))))
(/.f32 (*.f32 normAngle #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(cbrt.f32 (pow.f32 (/.f32 normAngle (sin.f32 normAngle)) #s(literal 3 binary32)))
(/.f32 (*.f32 normAngle #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32)))))
(cbrt.f32 (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(/.f32 (*.f32 normAngle #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(expm1.f32 (log1p.f32 (/.f32 normAngle (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 normAngle #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(exp.f32 (log.f32 (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 normAngle #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(exp.f32 (*.f32 (log.f32 (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32)))
(/.f32 (*.f32 normAngle #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(-.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 (cbrt.f32 (pow.f32 normAngle #s(literal 4 binary32))) (pow.f32 (cbrt.f32 normAngle) #s(literal 2 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))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 normAngle #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 (log.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1 binary32)))
(pow.f32 normAngle #s(literal 2 binary32))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n0_i #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 n0_i #s(literal -1/2 binary32))))
(pow.f32 (*.f32 n0_i #s(literal -1/2 binary32)) #s(literal 1 binary32))
(*.f32 n0_i #s(literal -1/2 binary32))
(pow.f32 (cbrt.f32 (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 3 binary32))
(*.f32 n0_i #s(literal -1/2 binary32))
(pow.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/8 binary32)) #s(literal 1/3 binary32))
(cbrt.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/8 binary32)))
(pow.f32 (sqrt.f32 (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 2 binary32))
(*.f32 n0_i #s(literal -1/2 binary32))
(log.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) n0_i))
(*.f32 n0_i #s(literal -1/2 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n0_i #s(literal -1/2 binary32)))))
(*.f32 n0_i #s(literal -1/2 binary32))
(cbrt.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1/8 binary32)))
(expm1.f32 (log1p.f32 (*.f32 n0_i #s(literal -1/2 binary32))))
(log1p.f32 (expm1.f32 (*.f32 n0_i #s(literal -1/2 binary32))))
(*.f32 n0_i #s(literal -1/2 binary32))
(exp.f32 (log.f32 (*.f32 n0_i #s(literal -1/2 binary32))))
(*.f32 n0_i #s(literal -1/2 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 n0_i #s(literal -1/2 binary32))) #s(literal 1 binary32)))
(*.f32 n0_i #s(literal -1/2 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 u))
(-.f32 #s(literal 1 binary32) u)
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(*.f32 (pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (cbrt.f32 (-.f32 #s(literal 1 binary32) u)))
(-.f32 #s(literal 1 binary32) u)
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u)))
(-.f32 #s(literal 1 binary32) u)
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) u))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 2 binary32))) (+.f32 u #s(literal 1 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) u)
(pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))
(-.f32 #s(literal 1 binary32) u)
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(-.f32 #s(literal 1 binary32) u)
(pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) u)
(log.f32 (exp.f32 (-.f32 #s(literal 1 binary32) u)))
(-.f32 #s(literal 1 binary32) u)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 #s(literal 1 binary32) u))))
(-.f32 #s(literal 1 binary32) u)
(cbrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))
(-.f32 #s(literal 1 binary32) u)
(expm1.f32 (log1p.f32 (-.f32 #s(literal 1 binary32) u)))
(+.f32 (-.f32 #s(literal 2 binary32) u) #s(literal -1 binary32))
(log1p.f32 (expm1.f32 (-.f32 #s(literal 1 binary32) u)))
(-.f32 #s(literal 1 binary32) u)
(exp.f32 (log1p.f32 (neg.f32 u)))
(-.f32 #s(literal 1 binary32) u)
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) u)

eval637.0ms (0.9%)

Compiler

Compiled 19253 to 8710 computations (54.8% saved)

prune818.0ms (1.1%)

Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New7999808
Fresh51621
Picked325
Done011
Total80728835
Accuracy
100.0%
Counts
835 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i) n0_i)
▶97.8%
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
74.1%
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (*.f32 normAngle u) n1_i)) (sin.f32 normAngle))
28.6%
(/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle))
72.7%
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
49.5%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
74.1%
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
97.0%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))
48.8%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) n0_i))
▶97.9%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
35.2%
(+.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)))))
97.4%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
▶35.0%
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u))
70.9%
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
76.0%
(+.f32 n0_i (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
76.2%
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
98.5%
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
✓99.3%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
99.0%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i #s(literal 1 binary32)))))
97.7%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
▶80.2%
(+.f32 n0_i (*.f32 u n1_i))
34.9%
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
73.9%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 normAngle u) n1_i)))
✓34.8%
(*.f32 u n1_i)
34.8%
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
97.4%
(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))))
50.5%
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))
✓49.0%
n0_i
Compiler

Compiled 851 to 578 computations (32.1% saved)

localize1.7s (2.4%)

Algorithm
5×egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
cost-diff0
(pow.f32 normAngle #s(literal 2 binary32))
✓cost-diff0
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)
✓cost-diff0
(*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))
✓cost-diff0
(*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))
✓cost-diff0
(-.f32 n1_i n0_i)
✓cost-diff0
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
✓cost-diff-3136
(+.f32 n0_i (*.f32 u n1_i))
cost-diff0
(*.f32 u n1_i)
cost-diff0
(/.f32 normAngle (sin.f32 normAngle))
cost-diff0
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
✓cost-diff0
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
✓cost-diff0
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i) n0_i)
accuracy99.9%
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
✓accuracy99.8%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
accuracy95.9%
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
✓accuracy99.9%
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u))
✓accuracy99.9%
(*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))
✓accuracy99.8%
(*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))
✓accuracy99.7%
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)
✓accuracy100.0%
(-.f32 n1_i n0_i)
✓accuracy99.9%
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
accuracy100.0%
(*.f32 u n1_i)
✓accuracy99.9%
(+.f32 n0_i (*.f32 u n1_i))
✓accuracy100.0%
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
accuracy100.0%
(/.f32 normAngle (sin.f32 normAngle))
✓accuracy99.9%
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i) n0_i)
accuracy99.9%
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
Rules
1790×fma-neg
1166×fma-define
950×fma-neg
832×fma-define
730×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018151
126151
242151
385151
4177151
5302151
6549151
71012151
82633151
93824151
104114151
114239151
124367151
134379151
144391151
154409151
164409151
174409151
01147
11343
21643
01252
11752
23052
35952
410752
518152
629352
748952
887652
9111252
10121252
11121952
017166
129166
259161
3160157
4274154
5300154
6318154
7408154
8503154
9515154
10517154
021212
136212
253212
382212
4152212
5239212
6364212
7541212
8918212
91233212
101775212
112149212
122444212
132521212
142553212
152555212
162562212
172568212
Stop Event
1×saturated
1×saturated
1×saturated
1×saturated
1×saturated
Calls
Call 1
Inputs
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
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)
normAngle
(sin.f32 normAngle)
n1_i
Outputs
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
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)
normAngle
(sin.f32 normAngle)
n1_i
Call 2
Inputs
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u))
(*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))
#s(literal 1/6 binary32)
(*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
u
(*.f32 n1_i u)
Outputs
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u))
(fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) u) (*.f32 n1_i u))
(fma.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n1_i u)) (*.f32 n1_i u))
(*.f32 n1_i (+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))))
(*.f32 n1_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) u) u))
(*.f32 n1_i (*.f32 u (fma.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))
(*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) u))
(*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n1_i u)))
#s(literal 1/6 binary32)
(*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))
(*.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) u)
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n1_i u))
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
u
(*.f32 n1_i u)
Call 3
Inputs
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
u
(-.f32 n1_i n0_i)
n1_i
n0_i
Outputs
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
u
(-.f32 n1_i n0_i)
n1_i
n0_i
Call 4
Inputs
(+.f32 n0_i (*.f32 u n1_i))
n0_i
(*.f32 u n1_i)
u
n1_i
Outputs
(+.f32 n0_i (*.f32 u n1_i))
(fma.f32 u n1_i n0_i)
n0_i
(*.f32 u n1_i)
u
n1_i
Call 5
Inputs
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i) n0_i)
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
n0_i
Outputs
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i) n0_i)
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i)
(fma.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) n0_i)
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))
(-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
n0_i
Results
357.0ms252×0valid
22.0ms3×3exit
2.0ms1×1valid
Compiler

Compiled 161 to 53 computations (67.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 271.0ms
ival-pow: 86.0ms (31.8% of total)
ival-mult: 53.0ms (19.6% of total)
ival-fma: 40.0ms (14.8% of total)
ival-add: 40.0ms (14.8% of total)
ival-sub: 30.0ms (11.1% of total)
ival-sin: 9.0ms (3.3% of total)
ival-div: 7.0ms (2.6% of total)
backward-pass: 3.0ms (1.1% of total)
const: 3.0ms (1.1% of total)

series171.0ms (0.2%)

Counts
10 → 258
Calls
Call 1
Inputs
#<alt (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i) n0_i)>
#<alt (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)>
#<alt (+.f32 n0_i (*.f32 u n1_i))>
#<alt (fma.f32 u (-.f32 n1_i n0_i) n0_i)>
#<alt (-.f32 n1_i n0_i)>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)>
#<alt (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))>
#<alt (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) 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 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))>
Outputs
#<alt n0_i>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))>
#<alt (+.f32 n0_i (*.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 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i))>
#<alt (*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i))>
#<alt (*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)))>
#<alt (+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))>
#<alt (+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))>
#<alt (+.f32 n0_i (+.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 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 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 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))>
#<alt (+.f32 n0_i (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 u (-.f32 n1_i n0_i))))>
#<alt (+.f32 n0_i (+.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 n0_i (+.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 n0_i 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 n0_i 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 n0_i 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 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.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 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.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 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) normAngle)))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (/.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) u))) (/.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) u))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (+.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 (-.f32 u #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))) #s(literal 1 binary32))))>
#<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 (/.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 n1_i u)>
#<alt (+.f32 n0_i (*.f32 n1_i u))>
#<alt (+.f32 n0_i (*.f32 n1_i u))>
#<alt (+.f32 n0_i (*.f32 n1_i u))>
#<alt n0_i>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))>
#<alt n0_i>
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#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
Calls

90 calls:

TimeVariablePointExpression
25.0ms
normAngle
@0
(+ (* u (- (* n1_i (/ normAngle (sin normAngle))) n0_i)) n0_i)
17.0ms
u
@0
(* 1/6 (* n1_i (* (pow normAngle 2) u)))
16.0ms
n1_i
@-inf
(+ n0_i (* u n1_i))
13.0ms
normAngle
@0
(* (pow normAngle 2) u)
2.0ms
n1_i
@0
(* 1/6 (* n1_i (* (pow normAngle 2) u)))

rewrite720.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
572×associate-*r*
283×log1p-expm1-u
283×expm1-log1p-u
280×add-cube-cbrt
277×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038334
1625330
Stop Event
1×node limit
Counts
10 → 275
Calls
Call 1
Inputs
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i) n0_i)
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(-.f32 n1_i n0_i)
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)
(*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))
(*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) 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 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
Outputs
(+.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))) n0_i)
(+.f32 (*.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))) #s(literal 1 binary32)) (*.f32 n0_i #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i)) (sqrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i)))
(/.f32 (+.f32 (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))) (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)))) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))) n0_i))))
(/.f32 (-.f32 (*.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))) (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)))) (pow.f32 n0_i #s(literal 2 binary32))) (-.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))) n0_i))
(pow.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i)))
(exp.f32 (log.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) n0_i)) #s(literal 1 binary32)))
(+.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 n0_i))
(+.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) (fma.f32 (neg.f32 (sqrt.f32 n0_i)) (sqrt.f32 n0_i) n0_i))
(+.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (*.f32 n0_i #s(literal 1 binary32)))) (fma.f32 (neg.f32 n0_i) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1 binary32))))
(+.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 n0_i)) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (neg.f32 (*.f32 n0_i #s(literal 1 binary32)))) (fma.f32 (neg.f32 n0_i) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1 binary32))))
(+.f32 (fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (neg.f32 (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 n0_i)) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)))))
(+.f32 (fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 (*.f32 n0_i #s(literal 1 binary32)))) (fma.f32 (neg.f32 n0_i) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 n0_i)) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 n0_i #s(literal 1 binary32)))) (fma.f32 (neg.f32 n0_i) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1 binary32))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 n0_i)) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 n0_i #s(literal 1 binary32)))) (fma.f32 (neg.f32 n0_i) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1 binary32))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 n0_i)) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)))))
(+.f32 (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32)) (*.f32 (neg.f32 n0_i) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))))
(*.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))) (sqrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i))))
(*.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i (+.f32 n0_i (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))))))
(*.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(*.f32 (+.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 n0_i)) (-.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 n0_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i (+.f32 n0_i (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))) (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i) (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i (+.f32 n0_i (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (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 (neg.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i (+.f32 n0_i (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32)))) (neg.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (neg.f32 n0_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 (neg.f32 n0_i) (neg.f32 n0_i)) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 n0_i)))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (neg.f32 n0_i) (neg.f32 n0_i))) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 n0_i)))
(pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 n0_i)) #s(literal 1 binary32))
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(cbrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))

simplify1.1s (1.6%)

Algorithm
1×egg-herbie
Rules
1408×associate-*r*
1324×fma-define
712×distribute-rgt-in
710×distribute-lft-in
444×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094427367
1259325813
Stop Event
1×node limit
Counts
533 → 543
Calls
Call 1
Inputs
n0_i
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i))
(*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i))
(*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) n1_i)) (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) n1_i)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 n0_i (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 u (-.f32 n1_i n0_i))))
(+.f32 n0_i (+.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))))))
(+.f32 n0_i (+.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))))))))))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) normAngle)) (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle)))))
(*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) normAngle)) (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle)))))
(*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i u) normAngle)) (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle)))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) normAngle)))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) normAngle)))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) normAngle)))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 u #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) n0_i)
(-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
(-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
(-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i)) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i)) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i)) (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 normAngle (sin.f32 normAngle))) (/.f32 n0_i n1_i))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 normAngle (sin.f32 normAngle))) (/.f32 n0_i n1_i))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 normAngle (sin.f32 normAngle))) (/.f32 n0_i n1_i))))
(-.f32 n1_i n0_i)
(-.f32 (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))) n0_i)
(-.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)
(-.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)
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 n0_i normAngle))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 n0_i normAngle))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 n0_i normAngle))))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(*.f32 #s(literal -1 binary32) n0_i)
(*.f32 n0_i (-.f32 (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32)))
(*.f32 n0_i (-.f32 (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32)))
(*.f32 n0_i (-.f32 (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) n0_i)
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle)))))))
(*.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)))))))
(*.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)))))))
(*.f32 n1_i u)
(+.f32 n0_i (*.f32 n1_i u))
(+.f32 n0_i (*.f32 n1_i u))
(+.f32 n0_i (*.f32 n1_i u))
n0_i
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)))
n0_i
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) #s(literal 1 binary32))))
n0_i
(+.f32 n0_i (*.f32 n1_i u))
(+.f32 n0_i (*.f32 n1_i u))
(+.f32 n0_i (*.f32 n1_i u))
(*.f32 n1_i u)
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(*.f32 n1_i u)
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n1_i) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n1_i) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n1_i) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
n0_i
(+.f32 n0_i (*.f32 n1_i u))
(+.f32 n0_i (*.f32 n1_i u))
(+.f32 n0_i (*.f32 n1_i u))
(*.f32 n1_i u)
(*.f32 n1_i (+.f32 u (/.f32 n0_i n1_i)))
(*.f32 n1_i (+.f32 u (/.f32 n0_i n1_i)))
(*.f32 n1_i (+.f32 u (/.f32 n0_i n1_i)))
(*.f32 n1_i u)
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i)))))
n0_i
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(*.f32 u (-.f32 n1_i n0_i))
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(/.f32 (+.f32 (pow.f32 (*.f32 u n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 u n1_i) #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 2 binary32)) #s(literal 1/36 binary32)) (*.f32 (*.f32 u n1_i) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))))))))
(/.f32 (-.f32 (pow.f32 (*.f32 u n1_i) #s(literal 2 binary32)) (*.f32 (pow.f32 (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 2 binary32)) #s(literal 1/36 binary32))) (-.f32 (*.f32 u n1_i) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))))))
(pow.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u n1_i)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u n1_i))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u n1_i)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u n1_i))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u n1_i)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u n1_i))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u n1_i)))))
(cbrt.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u n1_i)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u n1_i))))
(log1p.f32 (expm1.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u n1_i))))
(exp.f32 (log.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u n1_i))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u n1_i))) #s(literal 1 binary32)))
(fma.f32 u n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))))))
(fma.f32 n1_i u (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))))))
(fma.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u n1_i))
(fma.f32 (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 1/6 binary32) (*.f32 u n1_i))
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))))) (*.f32 u n1_i))
(fma.f32 #s(literal 1 binary32) (*.f32 u n1_i) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))))) (*.f32 u n1_i))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u n1_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u n1_i)) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))))))
(fma.f32 (*.f32 (sqrt.f32 (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle (sqrt.f32 u))) (*.f32 (sqrt.f32 (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle (sqrt.f32 u))) (*.f32 u n1_i))
(fma.f32 (sqrt.f32 (*.f32 u n1_i)) (sqrt.f32 (*.f32 u n1_i)) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))))))
(fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u n1_i))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))
(*.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))
(*.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(cbrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
Outputs
n0_i
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
(fma.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
(fma.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
(fma.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) n0_i)
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i))
(*.f32 u (+.f32 (/.f32 n0_i u) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
(*.f32 u (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) n0_i))
(*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i))
(*.f32 u (+.f32 (/.f32 n0_i u) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
(*.f32 u (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) n0_i))
(*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i))
(*.f32 u (+.f32 (/.f32 n0_i u) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
(*.f32 u (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) n0_i))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 (neg.f32 u) (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) (/.f32 (neg.f32 n0_i) u)))
(*.f32 (neg.f32 (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) n0_i)) (neg.f32 u))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 (neg.f32 u) (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) (/.f32 (neg.f32 n0_i) u)))
(*.f32 (neg.f32 (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) n0_i)) (neg.f32 u))
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(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 n1_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (neg.f32 (-.f32 #s(literal 1 binary32) u)))))
(pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(pow.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(pow.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) #s(literal 2 binary32)))
(fabs.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))
(log.f32 (exp.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(cbrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(expm1.f32 (log1p.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(exp.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))

eval734.0ms (1%)

Compiler

Compiled 14960 to 6733 computations (55% saved)

prune692.0ms (1%)

Pruning

34 alts after pruning (30 fresh and 4 done)

PrunedKeptTotal
New75716773
Fresh61420
Picked415
Done033
Total76734801
Accuracy
100.0%
Counts
801 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.3%
(fma.f32 u n1_i n0_i)
74.1%
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (*.f32 normAngle u) n1_i)) (sin.f32 normAngle))
28.6%
(/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle))
72.7%
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
49.5%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
74.1%
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
97.7%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) n1_i))
97.4%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
97.7%
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i)
35.2%
(+.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)))))
35.0%
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 n1_i u))
70.9%
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
86.8%
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))
76.0%
(+.f32 n0_i (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))))
62.5%
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
76.2%
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
92.3%
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
98.5%
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
✓99.3%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
✓80.2%
(+.f32 n0_i (*.f32 u n1_i))
34.9%
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
73.9%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 normAngle u) n1_i)))
96.9%
(*.f32 (neg.f32 n1_i) (-.f32 (*.f32 n0_i (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))) u))
80.1%
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
97.1%
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
✓34.8%
(*.f32 u n1_i)
34.8%
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
97.2%
(*.f32 n1_i (+.f32 u (-.f32 (/.f32 n0_i n1_i) (*.f32 n0_i (/.f32 u n1_i)))))
62.3%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
86.4%
(*.f32 n0_i (+.f32 (/.f32 (/.f32 (*.f32 (*.f32 u n1_i) normAngle) n0_i) (sin.f32 normAngle)) (-.f32 #s(literal 1 binary32) u)))
97.0%
(*.f32 n0_i (+.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 u n0_i))))
50.5%
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))
79.9%
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 u n0_i))))
✓49.0%
n0_i
Compiler

Compiled 1480 to 748 computations (49.5% saved)

regimes1.2s (1.7%)

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

5 calls:

850.0ms
normAngle
97.0ms
(+.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))
93.0ms
n1_i
74.0ms
u
71.0ms
n0_i
Results
AccuracySegmentsBranch
99.3%1normAngle
99.3%1u
99.3%1n0_i
99.3%1n1_i
99.3%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 36 computations (26.5% saved)

regimes314.0ms (0.4%)

Counts
47 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) n0_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i)
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 u n0_i))))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
(*.f32 n0_i (+.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 u n0_i))))
(*.f32 n1_i (+.f32 u (-.f32 (/.f32 n0_i n1_i) (*.f32 n0_i (/.f32 u n1_i)))))
(*.f32 (neg.f32 n1_i) (-.f32 (*.f32 n0_i (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))) u))
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 n1_i u))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(fma.f32 u n1_i n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.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 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle)))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i #s(literal 1 binary32)))))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) n1_i))
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
(*.f32 n0_i (+.f32 (/.f32 (/.f32 (*.f32 (*.f32 u n1_i) normAngle) n0_i) (sin.f32 normAngle)) (-.f32 #s(literal 1 binary32) u)))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(/.f32 (*.f32 n1_i (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 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i) n0_i)
(*.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))))
Outputs
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i) n0_i)
Calls

4 calls:

93.0ms
u
85.0ms
normAngle
71.0ms
n0_i
59.0ms
n1_i
Results
AccuracySegmentsBranch
99.1%1normAngle
99.1%1u
99.1%1n0_i
99.1%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes406.0ms (0.6%)

Counts
42 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) n0_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i)
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 u n0_i))))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
(*.f32 n0_i (+.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 u n0_i))))
(*.f32 n1_i (+.f32 u (-.f32 (/.f32 n0_i n1_i) (*.f32 n0_i (/.f32 u n1_i)))))
(*.f32 (neg.f32 n1_i) (-.f32 (*.f32 n0_i (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))) u))
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 n1_i u))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(fma.f32 u n1_i n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.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 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle)))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i #s(literal 1 binary32)))))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) n1_i))
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
(*.f32 n0_i (+.f32 (/.f32 (/.f32 (*.f32 (*.f32 u n1_i) normAngle) n0_i) (sin.f32 normAngle)) (-.f32 #s(literal 1 binary32) u)))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(/.f32 (*.f32 n1_i (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 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i #s(literal 1 binary32)))))
Calls

4 calls:

233.0ms
n0_i
74.0ms
normAngle
50.0ms
n1_i
44.0ms
u
Results
AccuracySegmentsBranch
99.0%1normAngle
99.0%1u
99.0%1n0_i
99.0%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes222.0ms (0.3%)

Counts
31 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) n0_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i)
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 u n0_i))))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
(*.f32 n0_i (+.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 u n0_i))))
(*.f32 n1_i (+.f32 u (-.f32 (/.f32 n0_i n1_i) (*.f32 n0_i (/.f32 u n1_i)))))
(*.f32 (neg.f32 n1_i) (-.f32 (*.f32 n0_i (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))) u))
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 n1_i u))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(fma.f32 u n1_i n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.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 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle)))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)))
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u))
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
Calls

4 calls:

79.0ms
u
70.0ms
n0_i
41.0ms
normAngle
28.0ms
n1_i
Results
AccuracySegmentsBranch
98.5%1normAngle
98.5%1u
98.5%1n1_i
98.5%1n0_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes118.0ms (0.2%)

Counts
18 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) n0_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i)
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 u n0_i))))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
(*.f32 n0_i (+.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 u n0_i))))
(*.f32 n1_i (+.f32 u (-.f32 (/.f32 n0_i n1_i) (*.f32 n0_i (/.f32 u n1_i)))))
(*.f32 (neg.f32 n1_i) (-.f32 (*.f32 n0_i (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))) u))
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 n1_i u))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))
Outputs
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
Calls

4 calls:

38.0ms
n1_i
37.0ms
normAngle
22.0ms
u
19.0ms
n0_i
Results
AccuracySegmentsBranch
97.7%1normAngle
97.7%1u
97.7%1n0_i
97.7%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes177.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) n0_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
Outputs
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
Calls

4 calls:

131.0ms
normAngle
28.0ms
n1_i
11.0ms
n0_i
5.0ms
u
Results
AccuracySegmentsBranch
80.2%1u
80.2%1normAngle
80.2%1n0_i
89.5%3n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes61.0ms (0.1%)

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

1 calls:

60.0ms
n1_i
Results
AccuracySegmentsBranch
89.5%3n1_i
Compiler

Compiled 5 to 4 computations (20% saved)

regimes79.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) n0_i))
Outputs
(+.f32 n0_i (*.f32 u n1_i))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
Calls

1 calls:

66.0ms
n1_i
Results
AccuracySegmentsBranch
89.3%3n1_i
Compiler

Compiled 5 to 4 computations (20% saved)

regimes87.0ms (0.1%)

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

4 calls:

45.0ms
n0_i
34.0ms
n1_i
3.0ms
normAngle
3.0ms
u
Results
AccuracySegmentsBranch
62.3%1normAngle
72.3%3n0_i
62.3%1u
76.1%3n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes170.0ms (0.2%)

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

4 calls:

154.0ms
n0_i
6.0ms
n1_i
6.0ms
u
3.0ms
normAngle
Results
AccuracySegmentsBranch
49.0%1normAngle
53.8%2u
60.6%3n0_i
64.1%3n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (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
n0_i
1.0ms
u
Results
AccuracySegmentsBranch
49.0%1u
49.0%1n0_i
49.0%1n1_i
Compiler

Compiled 15 to 12 computations (20% saved)

bsearch1.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.0714992679560074e-26
3.4927016875374514e-26
0.0ms
-1.0709497394278658e-22
-2.724034840024763e-23
Compiler

Compiled 36 to 26 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.0714992679560074e-26
3.4927016875374514e-26
0.0ms
-1.0709497394278658e-22
-2.724034840024763e-23
Compiler

Compiled 36 to 26 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.0714992679560074e-26
3.4927016875374514e-26
0.0ms
-1.0709497394278658e-22
-2.724034840024763e-23
Compiler

Compiled 36 to 26 computations (27.8% saved)

bsearch22.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
3.2877298973554847e-12
3.6614938511703166e-12
0.0ms
-3.5062660845073295e-17
-2.3570981393286454e-17
Compiler

Compiled 36 to 26 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.157057858559011e-16
1.2120162678526262e-16
0.0ms
-3.5062660845073295e-17
-2.3570981393286454e-17
Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify74.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
74×*-commutative
70×unsub-neg
68×neg-mul-1
58×+-commutative
42×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078671
1140663
2177663
3214663
4237663
5291663
6377663
7385663
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i #s(literal 1 binary32)))))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n1_i #s(literal -15845633/158456325028528675187087900672 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (if (<=.f32 n1_i #s(literal 5192297/162259276829213363391578010288128 binary32)) (+.f32 n0_i (*.f32 (neg.f32 n0_i) u)) (*.f32 u (+.f32 n1_i (/.f32 n0_i u)))))
(if (<=.f32 n1_i #s(literal -15845633/158456325028528675187087900672 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (if (<=.f32 n1_i #s(literal 5192297/162259276829213363391578010288128 binary32)) (+.f32 n0_i (*.f32 (neg.f32 n0_i) u)) (+.f32 n0_i (*.f32 u n1_i))))
(if (<=.f32 n1_i #s(literal -15845633/158456325028528675187087900672 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (if (<=.f32 n1_i #s(literal 5192297/162259276829213363391578010288128 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 n0_i (*.f32 u n1_i))))
(if (<=.f32 n1_i #s(literal -141671/4722366482869645213696 binary32)) (*.f32 u n1_i) (if (<=.f32 n1_i #s(literal 16140901/4611686018427387904 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)))
(if (<=.f32 n1_i #s(literal -141671/4722366482869645213696 binary32)) (*.f32 u n1_i) (if (<=.f32 n1_i #s(literal 141671/1180591620717411303424 binary32)) n0_i (*.f32 u n1_i)))
n0_i
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i #s(literal 1 binary32)))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n1_i #s(literal -15845633/158456325028528675187087900672 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (if (<=.f32 n1_i #s(literal 5192297/162259276829213363391578010288128 binary32)) (+.f32 n0_i (*.f32 (neg.f32 n0_i) u)) (*.f32 u (+.f32 n1_i (/.f32 n0_i u)))))
(if (<=.f32 n1_i #s(literal -15845633/158456325028528675187087900672 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (if (<=.f32 n1_i #s(literal 5192297/162259276829213363391578010288128 binary32)) (+.f32 n0_i (*.f32 u (neg.f32 n0_i))) (*.f32 u (+.f32 n1_i (/.f32 n0_i u)))))
(if (<=.f32 n1_i #s(literal -15845633/158456325028528675187087900672 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (if (<=.f32 n1_i #s(literal 5192297/162259276829213363391578010288128 binary32)) (-.f32 n0_i (*.f32 n0_i u)) (*.f32 u (+.f32 n1_i (/.f32 n0_i u)))))
(if (<=.f32 n1_i #s(literal -15845633/158456325028528675187087900672 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (if (<=.f32 n1_i #s(literal 5192297/162259276829213363391578010288128 binary32)) (+.f32 n0_i (*.f32 (neg.f32 n0_i) u)) (+.f32 n0_i (*.f32 u n1_i))))
(if (or (<=.f32 n1_i #s(literal -15845633/158456325028528675187087900672 binary32)) (not (<=.f32 n1_i #s(literal 5192297/162259276829213363391578010288128 binary32)))) (+.f32 n0_i (*.f32 u n1_i)) (+.f32 n0_i (*.f32 u (neg.f32 n0_i))))
(if (or (<=.f32 n1_i #s(literal -15845633/158456325028528675187087900672 binary32)) (not (<=.f32 n1_i #s(literal 5192297/162259276829213363391578010288128 binary32)))) (+.f32 n0_i (*.f32 u n1_i)) (-.f32 n0_i (*.f32 n0_i u)))
(if (<=.f32 n1_i #s(literal -15845633/158456325028528675187087900672 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (if (<=.f32 n1_i #s(literal 5192297/162259276829213363391578010288128 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 n0_i (*.f32 u n1_i))))
(if (or (<=.f32 n1_i #s(literal -15845633/158456325028528675187087900672 binary32)) (not (<=.f32 n1_i #s(literal 5192297/162259276829213363391578010288128 binary32)))) (+.f32 n0_i (*.f32 u n1_i)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(if (<=.f32 n1_i #s(literal -141671/4722366482869645213696 binary32)) (*.f32 u n1_i) (if (<=.f32 n1_i #s(literal 16140901/4611686018427387904 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)))
(if (or (<=.f32 n1_i #s(literal -141671/4722366482869645213696 binary32)) (not (<=.f32 n1_i #s(literal 16140901/4611686018427387904 binary32)))) (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(if (<=.f32 n1_i #s(literal -141671/4722366482869645213696 binary32)) (*.f32 u n1_i) (if (<=.f32 n1_i #s(literal 141671/1180591620717411303424 binary32)) n0_i (*.f32 u n1_i)))
(if (or (<=.f32 n1_i #s(literal -141671/4722366482869645213696 binary32)) (not (<=.f32 n1_i #s(literal 141671/1180591620717411303424 binary32)))) (*.f32 u n1_i) n0_i)
n0_i

soundness8.7s (12.2%)

Rules
1510×fma-neg
1408×associate-*r*
1324×fma-define
1298×fma-define
1274×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094427367
1259325813
01452109539
13793103989
0168067576
1489966937
044556
1768552
0111135470
1282933102
2772533092
040752
1698690
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 832 to 386 computations (53.6% saved)

preprocess365.0ms (0.5%)

Remove

(abs normAngle)

Compiler

Compiled 604 to 332 computations (45% saved)

end0.0ms (0%)

Profiling

Loading profile data...