Curve intersection, scale width based on ribbon orientation

Time bar (total: 17.1s)

analyze626.0ms (3.7%)

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

Compiled 59 to 39 computations (33.9% saved)

sample3.6s (21.3%)

Results
2.0s8256×0valid
547.0ms2081×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-mult: 445.0ms (23.7% of total)
ival-sin: 415.0ms (22.1% of total)
ival-<=: 308.0ms (16.4% of total)
ival-div: 241.0ms (12.8% of total)
...in/eval/compile.rkt:71:19: 205.0ms (10.9% of total)
ival-sub: 69.0ms (3.7% of total)
ival-pi: 62.0ms (3.3% of total)
ival-and: 61.0ms (3.2% of total)
ival-add: 52.0ms (2.8% of total)
...in/eval/compile.rkt:70:19: 17.0ms (0.9% of total)
ival-assert: 5.0ms (0.3% of total)
Bogosity

preprocess151.0ms (0.9%)

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

Useful iterations: 3 (0.0ms)

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

(abs normAngle)

explain462.0ms (2.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
190-15(5.805381113835169e-38 6.514478445751593e-5 -1.092431545214963e-21 3.726945984358458e-14)(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
10-0-(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 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)
00-0-(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
00-0-(*.f32 u normAngle)
00-0-n1_i
00-0-(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
00-0-(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
00-0-n0_i
00-0-normAngle
00-0-(-.f32 #s(literal 1 binary32) u)
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-#s(literal 1 binary32)
00-0-(sin.f32 (*.f32 u normAngle))
00-0-u
00-0-(sin.f32 normAngle)
00-0-(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f32(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))n*u20
*.f32(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))n*o10
*.f32(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))n*o10
Confusion
Predicted +Predicted -
+28
-1245
Precision
0.6666666666666666
Recall
0.2
Confusion?
Predicted +Predicted MaybePredicted -
+208
-10245
Precision?
0.6666666666666666
Recall?
0.2
Freqs
test
numberfreq
0253
12
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
68.0ms496×0valid
39.0ms16×1valid
Compiler

Compiled 264 to 72 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-div: 38.0ms (50.4% of total)
ival-mult: 17.0ms (22.5% of total)
ival-sin: 13.0ms (17.2% of total)
ival-add: 3.0ms (4% of total)
ival-sub: 3.0ms (4% of total)
adjust: 1.0ms (1.3% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 85 to 26 computations (69.4% saved)

prune4.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
83.0%
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)))
96.6%
(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)))
76.6%
(/.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))
96.8%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
76.6%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
Compiler

Compiled 252 to 156 computations (38.1% saved)

simplify195.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 1 (0.0ms)

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

localize501.0ms (2.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(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)))
accuracy98.9%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
accuracy98.5%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy95.9%
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
accuracy99.7%
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy96.0%
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
accuracy66.8%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))
accuracy99.7%
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy99.4%
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
accuracy77.0%
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
accuracy99.7%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
accuracy99.7%
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy77.0%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy99.4%
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy98.5%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy95.2%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
Results
83.0ms248×0valid
5.0ms1valid
Compiler

Compiled 407 to 32 computations (92.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 20.0ms (43.7% of total)
ival-div: 7.0ms (15.3% of total)
ival-sin: 7.0ms (15.3% of total)
ival-fma: 7.0ms (15.3% of total)
ival-add: 2.0ms (4.4% of total)
ival-sub: 2.0ms (4.4% of total)
adjust: 1.0ms (2.2% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series120.0ms (0.7%)

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

192 calls:

TimeVariablePointExpression
8.0ms
normAngle
@0
(* (- 1 u) normAngle)
7.0ms
normAngle
@0
(* (/ 1 (sin normAngle)) (+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)))
4.0ms
u
@-inf
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
3.0ms
normAngle
@-inf
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))
3.0ms
normAngle
@0
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

rewrite650.0ms (3.8%)

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

Useful iterations: 1 (0.0ms)

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

simplify1.1s (6.6%)

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

Useful iterations: 1 (0.0ms)

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

eval617.0ms (3.6%)

Compiler

Compiled 61437 to 6497 computations (89.4% saved)

prune532.0ms (3.1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New2013232036
Fresh000
Picked505
Done000
Total2018232041
Accuracy
100.0%
Counts
2041 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.7%
(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)))
96.0%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
73.3%
(/.f32 (fma.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
76.7%
(/.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))
75.4%
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (*.f32 n1_i normAngle)))) (sin.f32 normAngle))
73.2%
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
32.9%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
76.7%
(/.f32 (*.f32 n0_i (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) n0_i)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
45.6%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
96.4%
(+.f32 (-.f32 n0_i (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
95.8%
(+.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))
87.2%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
96.3%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
97.0%
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
96.0%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
79.5%
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
94.1%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
75.2%
(*.f32 (/.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 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
73.2%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
76.0%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
69.5%
(*.f32 n1_i (+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (sin.f32 normAngle) n1_i))) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
57.2%
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
44.6%
n0_i
Compiler

Compiled 952 to 624 computations (34.5% saved)

simplify129.0ms (0.8%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 normAngle (sin.f32 normAngle))
cost-diff0
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
cost-diff160
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))
cost-diff160
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))
cost-diff0
(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 normAngle (-.f32 #s(literal 1 binary32) u))
cost-diff0
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
cost-diff0
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
cost-diff0
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
cost-diff0
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
Rules
2204×fma-define
1266×unsub-neg
818×fmm-def
688×distribute-lft-in
600×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0421145
1911135
21971135
35021069
412141069
523641069
639401069
754901069
869211069
Stop Event
node limit
Calls
Call 1
Inputs
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (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 n0_i (sin.f32 normAngle))
n0_i
(sin.f32 normAngle)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
(/.f32 n1_i (sin.f32 normAngle))
n1_i
n0_i
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
n0_i
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
normAngle
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(sin.f32 normAngle)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.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 (*.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 (*.f32 u normAngle) n1_i)
(*.f32 u normAngle)
n1_i
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))
(*.f32 n0_i normAngle)
(cos.f32 normAngle)
Outputs
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (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 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (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 n0_i (sin.f32 normAngle))
n0_i
(sin.f32 normAngle)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
(/.f32 n1_i (sin.f32 normAngle))
n1_i
n0_i
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
n0_i
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
normAngle
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(sin.f32 normAngle)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (*.f32 u normAngle) n1_i)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))
(/.f32 (fma.f32 u (*.f32 normAngle n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))
(/.f32 #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 (*.f32 u normAngle) n1_i))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (*.f32 u normAngle) n1_i))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 normAngle (*.f32 u n1_i)))
(fma.f32 u (*.f32 normAngle n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_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 (*.f32 u normAngle) n1_i)
(*.f32 normAngle (*.f32 u n1_i))
(*.f32 u (*.f32 normAngle n1_i))
(*.f32 u normAngle)
n1_i
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) n0_i)
(fma.f32 u (-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (*.f32 normAngle (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) n0_i)
(fma.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) n0_i)
(fma.f32 u (*.f32 normAngle (/.f32 (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i) (sin.f32 normAngle))) n0_i)
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (*.f32 normAngle (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (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)) (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i)))
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))
(-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (*.f32 normAngle (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle))))
(*.f32 normAngle (/.f32 (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))
(*.f32 normAngle (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))
(*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle))
(*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle)))
(*.f32 n0_i normAngle)
(*.f32 normAngle n0_i)
(cos.f32 normAngle)

localize154.0ms (0.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.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 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
accuracy99.6%
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))
accuracy67.1%
(/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))
accuracy99.7%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
accuracy99.7%
(*.f32 (*.f32 u normAngle) n1_i)
accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy76.9%
(*.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 u normAngle) n1_i)))
accuracy99.9%
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
accuracy99.6%
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
accuracy99.4%
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
accuracy99.2%
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
accuracy99.7%
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy99.0%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
accuracy95.9%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
Results
90.0ms247×0valid
8.0ms1valid
Compiler

Compiled 284 to 36 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 22.0ms (42.8% of total)
ival-div: 10.0ms (19.5% of total)
ival-sin: 10.0ms (19.5% of total)
ival-add: 4.0ms (7.8% of total)
ival-sub: 3.0ms (5.8% of total)
ival-cos: 2.0ms (3.9% of total)
adjust: 1.0ms (1.9% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series144.0ms (0.8%)

Counts
15 → 460
Calls
Call 1
Inputs
#<alt (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))>
#<alt (*.f32 n0_i (/.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))>
#<alt (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))>
#<alt (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))>
#<alt (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))>
#<alt (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))>
#<alt (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))>
#<alt (/.f32 normAngle (sin.f32 normAngle))>
#<alt (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))>
#<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 (*.f32 u normAngle) n1_i)))>
#<alt (*.f32 (*.f32 u normAngle) n1_i)>
#<alt (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))>
Outputs
#<alt n0_i>
#<alt (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))>
#<alt (+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))))))>
#<alt (+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))))))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) 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 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))>
#<alt (+.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 -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))>
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#<alt n0_i>
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#<alt (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i))))) (*.f32 #s(literal -1/6 binary32) n0_i))))>
#<alt (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i))))) (*.f32 #s(literal -1/6 binary32) n0_i))))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))))>
#<alt n0_i>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))>
#<alt (+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))>
#<alt (+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))>
#<alt (+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) n1_i)))))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))>
#<alt (+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))>
#<alt (+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (*.f32 #s(literal 1/24 binary32) n0_i))))))))))>
#<alt (+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (*.f32 #s(literal 1/24 binary32) n0_i))))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))))) (+.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))))))))))))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (+.f32 (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i normAngle)))>
#<alt (*.f32 normAngle (+.f32 (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i normAngle)))>
#<alt (*.f32 normAngle (+.f32 (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i normAngle)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))))>
Calls

126 calls:

TimeVariablePointExpression
71.0ms
u
@inf
(* (* u normAngle) n1_i)
11.0ms
u
@0
(* u (- (* n1_i (/ normAngle (sin normAngle))) (/ (* (* n0_i normAngle) (cos normAngle)) (sin normAngle))))
3.0ms
normAngle
@inf
(* u (- (* n1_i (/ normAngle (sin normAngle))) (/ (* (* n0_i normAngle) (cos normAngle)) (sin normAngle))))
2.0ms
normAngle
@-inf
(* u (- (* n1_i (/ normAngle (sin normAngle))) (/ (* (* n0_i normAngle) (cos normAngle)) (sin normAngle))))
2.0ms
normAngle
@0
(* u (- (* n1_i (/ normAngle (sin normAngle))) (/ (* (* n0_i normAngle) (cos normAngle)) (sin normAngle))))

rewrite164.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
334×log1p-expm1-u
334×expm1-log1p-u
329×add-cube-cbrt
327×add-exp-log
326×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042701
1777658
Stop Event
node limit
Counts
15 → 322
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 normAngle (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
(*.f32 (*.f32 u normAngle) n1_i)
(/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 n0_i (sin.f32 normAngle))) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))
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(cbrt.f32 (*.f32 (pow.f32 (fma.f32 u (*.f32 normAngle n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) 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 u (*.f32 normAngle n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 u (*.f32 normAngle n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 u (*.f32 normAngle n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (fma.f32 u (*.f32 normAngle n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u (*.f32 normAngle n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n1_i (*.f32 u normAngle))))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (*.f32 n1_i (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(-.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))
(sqrt.f32 (pow.f32 (*.f32 n1_i (*.f32 u normAngle)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) u) 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)))
(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 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 (sqrt.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(pow.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 n0_i) normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) (sqrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))))
(pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(exp.f32 (log.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) n0_i)
(fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) u n0_i)
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))

simplify512.0ms (3%)

Algorithm
egg-herbie
Rules
956×times-frac
866×distribute-rgt-in
848×distribute-lft-in
708×*-commutative
538×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0127356153
1373954764
Stop Event
node limit
Counts
782 → 707
Calls
Call 1
Inputs
n0_i
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (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 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))))))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.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 -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
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n0_i
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(-.f32 #s(literal 1 binary32) u)
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#s(literal 1 binary32)
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(sin.f32 normAngle)
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normAngle
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(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
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(*.f32 u (-.f32 n1_i n0_i))
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(*.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)))))
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(*.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)))))
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(*.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 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.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))))
(*.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))))
(*.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))))
(/.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 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.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))))))
(*.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))))))
(-.f32 n1_i n0_i)
(-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)
(-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (*.f32 #s(literal 1/24 binary32) n0_i)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)
(-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (+.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))))) (+.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (*.f32 #s(literal 1/24 binary32) n0_i)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 normAngle (-.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 (*.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))))))
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(*.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))))))
(*.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))))))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
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(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(*.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))))))
(*.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))))))
(*.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))))))
(/.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 (*.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)))))
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 #s(literal -1/6 binary32) n1_i))))
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 #s(literal -1/6 binary32) n1_i))))
(/.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))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))
(+.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))))))
(+.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))))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
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n0_i
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n0_i
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n0_i
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(*.f32 (sqrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) (sqrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))))
(pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(exp.f32 (log.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) n0_i)
(fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) u n0_i)
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
Outputs
n0_i
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))
(+.f32 n0_i (neg.f32 (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle))))))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 normAngle u) (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 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))))))
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))))))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))))))
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (/.f32 (*.f32 (*.f32 u (cos.f32 normAngle)) (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle)))))))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.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))
(*.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))
(*.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) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.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 -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 n0_i #s(literal 1/120 binary32)) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 n0_i #s(literal 1/120 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 1/120 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 n0_i #s(literal 1/120 binary32)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/120 binary32))))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 n0_i #s(literal 1/120 binary32)) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
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#s(literal 1 binary32)
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(sin.f32 normAngle)
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normAngle
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n1_i
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n0_i
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(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)) #s(literal 2 binary32))) (-.f32 n0_i (/.f32 (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle))))
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i u) (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))))))
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (/.f32 (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)) #s(literal 2 binary32)) (*.f32 n0_i (/.f32 (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))))
(neg.f32 (/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32))) (neg.f32 (-.f32 n0_i (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))))))
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)) #s(literal 2 binary32))) (-.f32 n0_i (/.f32 (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)))))
(pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 1 binary32))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(pow.f32 (cbrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 3 binary32))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(pow.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(pow.f32 (sqrt.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 2 binary32))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(sqrt.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 2 binary32)))
(fabs.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i))
(log.f32 (exp.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i))))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(cbrt.f32 (pow.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(expm1.f32 (log1p.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(expm1.f32 (log1p.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(exp.f32 (log.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(exp.f32 (*.f32 (log.f32 (fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)) #s(literal 1 binary32)))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 #s(literal 1 binary32) (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) n0_i)
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) u n0_i)
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) n0_i)
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) n0_i)
(fma.f32 (cbrt.f32 (pow.f32 (/.f32 (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 (sqrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)))) n0_i)
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) n0_i)

eval390.0ms (2.3%)

Compiler

Compiled 36004 to 5099 computations (85.8% saved)

prune374.0ms (2.2%)

Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New1243191262
Fresh9918
Picked325
Done000
Total1255301285
Accuracy
100.0%
Counts
1285 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(/.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))
73.2%
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
32.9%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
76.7%
(/.f32 (*.f32 n0_i (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) n0_i)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
45.6%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
95.8%
(+.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))
96.3%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
96.7%
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i))
96.1%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
96.0%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
83.3%
(+.f32 n0_i (/.f32 (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)))
71.4%
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
76.6%
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
97.5%
(+.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)))
96.3%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
97.5%
(+.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 #s(literal -1/6 binary32) n1_i)))) n0_i))))
97.9%
(+.f32 n0_i (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))
79.7%
(+.f32 n0_i (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
81.3%
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
72.7%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
73.2%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
76.1%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 u n1_i) normAngle)))
98.2%
(*.f32 (neg.f32 normAngle) (-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))
88.9%
(*.f32 u (+.f32 (/.f32 n0_i u) (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
55.1%
(*.f32 n0_i (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (sin.f32 normAngle)))
57.2%
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
56.5%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
98.3%
(*.f32 n0_i (+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
56.7%
(*.f32 n0_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
44.6%
n0_i
Compiler

Compiled 1086 to 717 computations (34% saved)

simplify124.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 18 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 normAngle (-.f32 #s(literal 1 binary32) u))
cost-diff0
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
cost-diff0
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
cost-diff0
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
cost-diff0
(sin.f32 normAngle)
cost-diff0
(*.f32 n1_i normAngle)
cost-diff0
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
cost-diff0
(*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
cost-diff0
(/.f32 normAngle (sin.f32 normAngle))
cost-diff0
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))
cost-diff0
(*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i)))
cost-diff128
(*.f32 n0_i (+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
Rules
1132×fma-define
1036×fmm-def
1000×distribute-frac-neg
962×times-frac
756×cancel-sign-sub-inv
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
038967
180945
2174945
3386945
41088936
52279932
62933929
74093929
84992929
96331929
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 n0_i (+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
n0_i
(+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i)))
n1_i
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(/.f32 u n0_i)
u
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
n0_i
(*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
u
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i normAngle)
n1_i
normAngle
(sin.f32 normAngle)
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.f32 n0_i (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))
normAngle
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(sin.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) 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 n0_i (+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 n0_i (fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 n0_i (fma.f32 n1_i (*.f32 normAngle (/.f32 (/.f32 u n0_i) (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 n0_i (fma.f32 n1_i (*.f32 u (/.f32 (/.f32 normAngle (sin.f32 normAngle)) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 n0_i (fma.f32 n1_i (*.f32 normAngle (/.f32 u (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (fma.f32 normAngle (*.f32 n1_i (/.f32 u n0_i)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle (*.f32 n1_i u))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (*.f32 normAngle u))))
n0_i
(+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(fma.f32 n1_i (*.f32 normAngle (/.f32 (/.f32 u n0_i) (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(fma.f32 n1_i (*.f32 u (/.f32 (/.f32 normAngle (sin.f32 normAngle)) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(fma.f32 n1_i (*.f32 normAngle (/.f32 u (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i)))
(*.f32 n1_i (*.f32 normAngle (/.f32 (/.f32 u n0_i) (sin.f32 normAngle))))
(*.f32 n1_i (*.f32 u (/.f32 (/.f32 normAngle (sin.f32 normAngle)) n0_i)))
(*.f32 n1_i (*.f32 normAngle (/.f32 u (*.f32 n0_i (sin.f32 normAngle)))))
(*.f32 normAngle (*.f32 (/.f32 u n0_i) (/.f32 n1_i (sin.f32 normAngle))))
n1_i
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))
(*.f32 normAngle (/.f32 (/.f32 u n0_i) (sin.f32 normAngle)))
(*.f32 u (/.f32 (/.f32 normAngle (sin.f32 normAngle)) n0_i))
(*.f32 normAngle (/.f32 u (*.f32 n0_i (sin.f32 normAngle))))
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(/.f32 u n0_i)
u
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))
(fma.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n0_i)
n0_i
(*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(*.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
u
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 n1_i normAngle)
n1_i
normAngle
(sin.f32 normAngle)
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 n0_i (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))
normAngle
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(sin.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))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(-.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 n1_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(sin.f32 (*.f32 normAngle u))
(*.f32 u normAngle)
(*.f32 normAngle u)
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i

localize219.0ms (1.3%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
accuracy99.7%
(+.f32 (*.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))
accuracy99.4%
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
accuracy95.2%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy99.9%
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
accuracy99.7%
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
accuracy99.6%
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
accuracy66.8%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
accuracy100.0%
(sin.f32 normAngle)
accuracy99.9%
(*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
accuracy99.8%
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
accuracy71.5%
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
accuracy100.0%
(-.f32 #s(literal 1 binary32) u)
accuracy99.4%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
accuracy99.6%
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
accuracy99.2%
(*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i)))
accuracy99.2%
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
accuracy99.2%
(*.f32 n0_i (+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
Results
164.0ms248×0valid
7.0ms1valid
Compiler

Compiled 245 to 32 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 17.0ms (40.9% of total)
ival-div: 12.0ms (28.9% of total)
ival-sin: 7.0ms (16.8% of total)
ival-add: 4.0ms (9.6% of total)
ival-sub: 1.0ms (2.4% of total)
adjust: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series71.0ms (0.4%)

Counts
12 → 328
Calls
Call 1
Inputs
#<alt (*.f32 n0_i (+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i)))>
#<alt (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))>
#<alt (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))>
#<alt (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))>
#<alt (*.f32 n1_i normAngle)>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))>
#<alt (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)>
#<alt (+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<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))>
Outputs
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))>
#<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 (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.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 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))))>
#<alt (*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u))>
#<alt (+.f32 (*.f32 n0_i (*.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 (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))) (*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u)))>
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#<alt (+.f32 n0_i (*.f32 n1_i u))>
#<alt (+.f32 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)))>
#<alt (+.f32 n0_i (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))>
#<alt (+.f32 n0_i (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 normAngle (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))>
#<alt (*.f32 normAngle (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))>
#<alt (*.f32 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 n0_i normAngle)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))>
#<alt n0_i>
#<alt (+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))>
#<alt (+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))>
#<alt (+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (+.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 #s(literal -1 binary32) (*.f32 n0_i u))>
#<alt (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 u (sin.f32 normAngle))))))>
#<alt (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 u (sin.f32 normAngle))))))>
#<alt (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 u (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) u)))))>
#<alt (/.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 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))) u))>
#<alt (*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))) u))>
#<alt (*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))) u))>
#<alt (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (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 #s(literal 1 binary32) u)) (*.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 #s(literal 1 binary32) u)) (*.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 (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
Calls

108 calls:

TimeVariablePointExpression
15.0ms
normAngle
@0
(+ (* (- 1 u) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
4.0ms
normAngle
@0
(* n0_i (+ (* n1_i (* (/ normAngle (sin normAngle)) (/ u n0_i))) (/ (sin (* normAngle (- 1 u))) (sin normAngle))))
2.0ms
normAngle
@0
(* u (/ (* n1_i normAngle) (sin normAngle)))
2.0ms
u
@inf
(* u (/ (* n1_i normAngle) (sin normAngle)))
1.0ms
n0_i
@-inf
(+ (* (- 1 u) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

rewrite131.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
306×log1p-expm1-u
306×expm1-log1p-u
303×add-cube-cbrt
301×add-exp-log
300×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038461
1684457
Stop Event
node limit
Counts
12 → 285
Calls
Call 1
Inputs
(*.f32 n0_i (+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i)))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i normAngle)
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.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))
Outputs
(+.f32 (*.f32 n0_i (*.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 u n0_i))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(+.f32 (*.f32 (*.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 u n0_i)) n0_i) (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n0_i (fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))))) #s(literal 1 binary32))
(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (*.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 u n0_i))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 n0_i (*.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 u n0_i))) (*.f32 n0_i (*.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 u n0_i)))) (-.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (*.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 u n0_i))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 u n0_i)) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 (*.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 u n0_i)) n0_i) (*.f32 (*.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 u n0_i)) n0_i)) (-.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i) (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i)) (*.f32 (*.f32 (*.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 u n0_i)) n0_i) (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i)))))
(pow.f32 (*.f32 n0_i (fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n0_i (fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n0_i (fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n0_i (fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 n0_i (fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) #s(literal 2 binary32)))
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(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(cbrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))

simplify311.0ms (1.8%)

Algorithm
egg-herbie
Rules
1620×fma-define
1040×times-frac
680×distribute-lft-in
678×distribute-rgt-in
662×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0107934266
1312832973
Stop Event
node limit
Counts
613 → 571
Calls
Call 1
Inputs
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.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 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))))
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u))
(+.f32 (*.f32 n0_i (*.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 (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))) (*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u)))
(+.f32 (*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i (*.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 (*.f32 #s(literal -1/36 binary32) (/.f32 (*.f32 n1_i u) n0_i)) (+.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))))) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i u) n0_i))))))))
(+.f32 (*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i u) n0_i))))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i (*.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 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 n1_i u) n0_i)) (+.f32 (*.f32 #s(literal 1/720 binary32) (/.f32 (*.f32 n1_i u) n0_i)) (+.f32 (*.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 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (/.f32 (*.f32 n1_i u) n0_i)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))))))))) (*.f32 n0_i (-.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 (*.f32 #s(literal -1/36 binary32) (/.f32 (*.f32 n1_i u) n0_i)) (+.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i u) n0_i))))))))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))
n0_i
(+.f32 n0_i (*.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle)))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 u (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 u (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 u (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 u (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))
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(fma.f32 #s(literal 1 binary32) (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i)
(fma.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) u n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(*.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))))
(/.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 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (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 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))))
(/.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 normAngle u)) (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 normAngle u)) (sin.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(cbrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
Outputs
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 n1_i (*.f32 normAngle (/.f32 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))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(*.f32 n0_i (fma.f32 n1_i (*.f32 normAngle (/.f32 (/.f32 u n0_i) (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(*.f32 n0_i (fma.f32 n1_i (*.f32 normAngle (/.f32 (/.f32 u n0_i) (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(*.f32 n0_i (fma.f32 n1_i (*.f32 normAngle (/.f32 (/.f32 u n0_i) (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))
(*.f32 (neg.f32 n0_i) (*.f32 #s(literal -1 binary32) (fma.f32 n1_i (*.f32 normAngle (/.f32 (/.f32 u n0_i) (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))))
(*.f32 (neg.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 (/.f32 u n0_i) (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (neg.f32 n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))
(*.f32 (neg.f32 n0_i) (*.f32 #s(literal -1 binary32) (fma.f32 n1_i (*.f32 normAngle (/.f32 (/.f32 u n0_i) (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))))
(*.f32 (neg.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 (/.f32 u n0_i) (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (neg.f32 n0_i))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))
(*.f32 (neg.f32 n0_i) (*.f32 #s(literal -1 binary32) (fma.f32 n1_i (*.f32 normAngle (/.f32 (/.f32 u n0_i) (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))))
(*.f32 (neg.f32 (fma.f32 n1_i (*.f32 normAngle (/.f32 (/.f32 u n0_i) (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (neg.f32 n0_i))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
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n0_i
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(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
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n0_i
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))
(+.f32 n0_i (/.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))
(-.f32 n0_i (*.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 u (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 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))))))
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(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))))))
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(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.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) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))
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(*.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) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))
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(*.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) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))
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(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
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(*.f32 normAngle (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 normAngle (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))))))
(*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))))))
(*.f32 normAngle (fma.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 n0_i (pow.f32 normAngle #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 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 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))))))))
(*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))))))
(*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) 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 -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 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 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 (sin.f32 normAngle) n0_i))
(-.f32 (*.f32 (sin.f32 normAngle) n0_i) (*.f32 n0_i (*.f32 normAngle (*.f32 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))))))))
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(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (neg.f32 (sin.f32 normAngle))))))))
(pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(pow.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(pow.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))
(fabs.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(log.f32 (exp.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(cbrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(exp.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(exp.f32 (*.f32 (log.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 (*.f32 #s(literal 1 binary32) n1_i) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))

eval442.0ms (2.6%)

Compiler

Compiled 29090 to 4700 computations (83.8% saved)

prune399.0ms (2.3%)

Pruning

39 alts after pruning (34 fresh and 5 done)

PrunedKeptTotal
New1199201219
Fresh91423
Picked235
Done022
Total1210391249
Accuracy
100.0%
Counts
1249 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.1%
(fma.f32 n1_i u n0_i)
76.7%
(/.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))
32.9%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
76.7%
(/.f32 (*.f32 n0_i (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) n0_i)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
43.5%
(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
45.6%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
87.1%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
86.7%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
95.2%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))))) n1_i))
96.0%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
96.3%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
96.7%
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i))
83.3%
(+.f32 n0_i (/.f32 (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)))
71.5%
(+.f32 n0_i (/.f32 (*.f32 u (*.f32 n1_i normAngle)) (sin.f32 normAngle)))
56.7%
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
76.6%
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
97.5%
(+.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)))
96.3%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
92.3%
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
80.9%
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))))
80.0%
(+.f32 n0_i (*.f32 u n1_i))
79.7%
(+.f32 n0_i (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
73.2%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
76.1%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 u n1_i) normAngle)))
98.2%
(*.f32 (neg.f32 normAngle) (-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))
7.7%
(*.f32 (neg.f32 n0_i) u)
56.4%
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
81.1%
(*.f32 normAngle (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
96.1%
(*.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)))
40.0%
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
55.1%
(*.f32 n0_i (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (sin.f32 normAngle)))
57.2%
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
95.8%
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u))
56.5%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
97.3%
(*.f32 n0_i (+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (-.f32 #s(literal 1 binary32) u)))
95.7%
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i (/.f32 u n0_i)) u)))
56.7%
(*.f32 n0_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
56.3%
(*.f32 n0_i (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
44.6%
n0_i
Compiler

Compiled 1210 to 812 computations (32.9% saved)

simplify114.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
cost-diff-3136
(*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))))
cost-diff0
(pow.f32 normAngle #s(literal 2 binary32))
cost-diff0
(*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))
cost-diff0
(*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))
cost-diff-3136
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u)
cost-diff-3136
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u))
cost-diff0
(*.f32 n1_i u)
cost-diff0
(/.f32 (*.f32 n1_i u) n0_i)
cost-diff0
(neg.f32 n0_i)
cost-diff0
(*.f32 (neg.f32 n0_i) u)
cost-diff32
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle)))
cost-diff32
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle))
cost-diff32
(-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))
cost-diff3328
(*.f32 (neg.f32 normAngle) (-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))
Rules
1748×fmm-def
908×distribute-lft-neg-in
738×associate-*r*
718×distribute-rgt-neg-in
702×unsub-neg
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0471043
11121015
22701015
3813990
43060981
55606975
67492967
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (neg.f32 normAngle) (-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))
(neg.f32 normAngle)
normAngle
(-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(neg.f32 (sin.f32 normAngle))
(sin.f32 normAngle)
(/.f32 n0_i normAngle)
n0_i
(*.f32 n1_i (/.f32 u (sin.f32 normAngle)))
n1_i
(/.f32 u (sin.f32 normAngle))
(*.f32 (neg.f32 n0_i) u)
(neg.f32 n0_i)
n0_i
u
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u))
n0_i
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i))
#s(literal 1 binary32)
(/.f32 (*.f32 n1_i u) n0_i)
(*.f32 n1_i u)
n1_i
u
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))))
n0_i
(*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))))
u
(+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))
n1_i
(*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))
#s(literal 1/6 binary32)
(*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 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)) n1_i) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
normAngle
n1_i
(sin.f32 normAngle)
Outputs
(*.f32 (neg.f32 normAngle) (-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))
(*.f32 (neg.f32 normAngle) (fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle) (neg.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))))
(*.f32 normAngle (neg.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (/.f32 n0_i normAngle) (neg.f32 (sin.f32 normAngle)))) (*.f32 u (/.f32 n1_i (sin.f32 normAngle))))))
(*.f32 (neg.f32 normAngle) (-.f32 (/.f32 (*.f32 u (neg.f32 n1_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 normAngle) normAngle))))
(*.f32 normAngle (fma.f32 u (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (*.f32 normAngle (sin.f32 normAngle))))))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i normAngle)) (*.f32 u n1_i)))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 normAngle (*.f32 u (/.f32 n1_i (sin.f32 normAngle)))))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 (*.f32 u n1_i) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))) normAngle))))
(neg.f32 normAngle)
normAngle
(-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle) (neg.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))
(-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (/.f32 n0_i normAngle) (neg.f32 (sin.f32 normAngle)))) (*.f32 u (/.f32 n1_i (sin.f32 normAngle))))
(-.f32 (/.f32 (*.f32 u (neg.f32 n1_i)) (sin.f32 normAngle)) (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 normAngle) normAngle)))
(neg.f32 (fma.f32 u (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (*.f32 normAngle (sin.f32 normAngle))))))
(-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))) (sin.f32 normAngle)) (/.f32 n0_i normAngle)) (*.f32 u (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (/.f32 n0_i normAngle) (neg.f32 (sin.f32 normAngle))))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (neg.f32 n0_i) (*.f32 normAngle (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))) (sin.f32 normAngle)) (/.f32 n0_i normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(neg.f32 (sin.f32 normAngle))
(sin.f32 normAngle)
(/.f32 n0_i normAngle)
n0_i
(*.f32 n1_i (/.f32 u (sin.f32 normAngle)))
(*.f32 u (/.f32 n1_i (sin.f32 normAngle)))
n1_i
(/.f32 u (sin.f32 normAngle))
(*.f32 (neg.f32 n0_i) u)
(*.f32 u (neg.f32 n0_i))
(neg.f32 n0_i)
n0_i
u
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u))
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u n1_i) n0_i)) u))
(*.f32 n0_i (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u))
(*.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (-.f32 (fma.f32 u (/.f32 n1_i n0_i) #s(literal 1 binary32)) u))
(*.f32 n0_i (fma.f32 u (+.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)) #s(literal 1 binary32)))
n0_i
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u)
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u n1_i) n0_i)) u)
(-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)
(fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u))
(-.f32 (fma.f32 u (/.f32 n1_i n0_i) #s(literal 1 binary32)) u)
(fma.f32 u (+.f32 #s(literal -1 binary32) (/.f32 n1_i n0_i)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u n1_i) n0_i))
(fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))
(fma.f32 u (/.f32 n1_i n0_i) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (*.f32 n1_i u) n0_i)
(/.f32 (*.f32 u n1_i) n0_i)
(*.f32 u (/.f32 n1_i n0_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
n1_i
u
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))))
(fma.f32 u (fma.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n1_i) n0_i)
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))) n1_i) n0_i)
(fma.f32 u (*.f32 n1_i (fma.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1 binary32))) n0_i)
n0_i
(*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))))
(*.f32 u (fma.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n1_i))
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))) n1_i))
(*.f32 (fma.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 u n1_i))
(*.f32 (*.f32 u n1_i) (fma.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1 binary32)))
u
(+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))
(fma.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n1_i)
(fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))) n1_i)
(*.f32 n1_i (fma.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1 binary32)))
n1_i
(*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))) n1_i)
(*.f32 n1_i (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))
#s(literal 1/6 binary32)
(*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(+.f32 (*.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 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (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)) n1_i) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(sin.f32 (*.f32 u normAngle))
(sin.f32 (*.f32 normAngle u))
(*.f32 u normAngle)
(*.f32 normAngle u)
normAngle
n1_i
(sin.f32 normAngle)

localize224.0ms (1.3%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
accuracy99.7%
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
accuracy99.4%
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
accuracy65.9%
(/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle))
accuracy99.9%
(*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))))
accuracy99.8%
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))))
accuracy99.8%
(*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))
accuracy99.6%
(*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))
accuracy100.0%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i))
accuracy99.8%
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u)
accuracy99.1%
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u))
accuracy95.2%
(/.f32 (*.f32 n1_i u) n0_i)
accuracy100.0%
(*.f32 (neg.f32 n0_i) u)
accuracy100.0%
(neg.f32 n0_i)
accuracy99.4%
(*.f32 n1_i (/.f32 u (sin.f32 normAngle)))
accuracy99.3%
(*.f32 (neg.f32 normAngle) (-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))
accuracy99.2%
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle))
accuracy99.2%
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle)))
Results
168.0ms248×0valid
5.0ms1valid
Compiler

Compiled 263 to 41 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-div: 76.0ms (62.3% of total)
ival-mult: 19.0ms (15.6% of total)
ival-sin: 7.0ms (5.7% of total)
ival-add: 5.0ms (4.1% of total)
ival-sub: 4.0ms (3.3% of total)
ival-neg: 4.0ms (3.3% of total)
...in/eval/compile.rkt:71:19: 4.0ms (3.3% of total)
ival-pow: 3.0ms (2.5% of total)
adjust: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series80.0ms (0.5%)

Counts
20 → 486
Calls
Call 1
Inputs
#<alt (*.f32 (neg.f32 normAngle) (-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))>
#<alt (-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle)))>
#<alt (*.f32 (neg.f32 n0_i) u)>
#<alt (neg.f32 n0_i)>
#<alt (/.f32 (*.f32 n1_i u) n0_i)>
#<alt (*.f32 n1_i u)>
#<alt (*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u))>
#<alt (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u)>
#<alt (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i))>
#<alt (+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))))>
#<alt (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))>
Outputs
#<alt (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) u)))))>
#<alt (/.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 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))) u))>
#<alt (*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))) u))>
#<alt (*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))) u))>
#<alt (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (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 #s(literal 1 binary32) u)) (*.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 #s(literal 1 binary32) u)) (*.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 (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
Calls

162 calls:

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

rewrite183.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
407×log1p-expm1-u
407×expm1-log1p-u
401×add-cube-cbrt
398×add-exp-log
397×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047752
1870728
Stop Event
node limit
Counts
20 → 382
Calls
Call 1
Inputs
(*.f32 (neg.f32 normAngle) (-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))
(-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle)))
(*.f32 (neg.f32 n0_i) u)
(neg.f32 n0_i)
(/.f32 (*.f32 n1_i u) n0_i)
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u))
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u)
(*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))
(*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))
(pow.f32 normAngle #s(literal 2 binary32))
(*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 u (sin.f32 normAngle)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (neg.f32 normAngle) (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (neg.f32 normAngle) (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (neg.f32 normAngle) (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (neg.f32 normAngle) (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (neg.f32 normAngle) (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))) #s(literal 2 binary32))
(neg.f32 (*.f32 normAngle (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))))
(log.f32 (pow.f32 (exp.f32 (neg.f32 normAngle)) (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (neg.f32 normAngle) (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))))))
(cbrt.f32 (pow.f32 (*.f32 (neg.f32 normAngle) (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (neg.f32 normAngle) #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (neg.f32 normAngle) (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))))
(log1p.f32 (expm1.f32 (*.f32 (neg.f32 normAngle) (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))))
(exp.f32 (log.f32 (*.f32 (neg.f32 normAngle) (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (neg.f32 normAngle) (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))) #s(literal 1 binary32)))
(+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (neg.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))
(+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 (neg.f32 n1_i) (/.f32 u (sin.f32 normAngle))))
(+.f32 (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))) (fma.f32 (neg.f32 (/.f32 u (sin.f32 normAngle))) n1_i (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))
(+.f32 (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))) (fma.f32 (neg.f32 n1_i) (/.f32 u (sin.f32 normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))
(+.f32 (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))) (fma.f32 (neg.f32 (sqrt.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))) (sqrt.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (neg.f32 (*.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle))) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))) #s(literal 1 binary32) (*.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle))) #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (sin.f32 normAngle)) normAngle)) (neg.f32 (*.f32 (cbrt.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))) (cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))) (cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))) (cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))))))
(+.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle) (neg.f32 (*.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle))) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))) #s(literal 1 binary32) (*.f32 (*.f32 n1_i (/.f32 u (sin.f32 normAngle))) #s(literal 1 binary32))))
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(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))))
(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))))))
(cbrt.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))
(log1p.f32 (expm1.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))
(exp.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(fma.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(fma.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))

simplify356.0ms (2.1%)

Algorithm
egg-herbie
Rules
920×distribute-lft-in
896×distribute-rgt-in
700×*-commutative
378×+-commutative
370×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0131047783
1357845923
Stop Event
node limit
Counts
868 → 752
Calls
Call 1
Inputs
(*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u)))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u))))
(+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
(+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))
n0_i
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 u (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 u (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 u (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 u (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.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 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))))
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#s(literal 1 binary32)
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(fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n1_i) u n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u (fma.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n1_i))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (fma.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n1_i))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (fma.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n1_i)))
(fma.f32 (sqrt.f32 (*.f32 u (fma.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n1_i))) (sqrt.f32 (*.f32 u (fma.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n1_i))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (fma.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n1_i)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))))
(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))))))
(cbrt.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))
(log1p.f32 (expm1.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))
(exp.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(fma.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(fma.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
Outputs
(*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u)))
(neg.f32 (-.f32 (*.f32 (neg.f32 n0_i) (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)))
(neg.f32 (neg.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u))))
(*.f32 #s(literal -1 binary32) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) u))) (-.f32 (*.f32 (neg.f32 n0_i) (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))))
(-.f32 (neg.f32 (neg.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 u n1_i) #s(literal -1/6 binary32)))))
(+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
(fma.f32 #s(literal -1 binary32) (-.f32 (*.f32 (neg.f32 n0_i) (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 (*.f32 u n1_i) #s(literal -7/360 binary32)))) (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) u))))))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (neg.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u n1_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 u n1_i) #s(literal -7/360 binary32)) (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u)))))))))) (neg.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))
(+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))))
(fma.f32 #s(literal -1 binary32) (-.f32 (*.f32 (neg.f32 n0_i) (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 u n1_i) (fma.f32 #s(literal 1/720 binary32) (*.f32 u n1_i) (*.f32 (*.f32 (*.f32 u n1_i) #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))))) (fma.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 (*.f32 u n1_i) #s(literal -7/360 binary32)))))))))
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n0_i
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(/.f32 (*.f32 n1_i u) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i u) (sin.f32 normAngle))
(*.f32 u (/.f32 n1_i (sin.f32 normAngle)))
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(/.f32 (*.f32 n1_i u) normAngle)
(*.f32 n1_i (/.f32 u normAngle))
(/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u)) normAngle)
(/.f32 (*.f32 u (fma.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n1_i)) normAngle)
(/.f32 (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))) normAngle)
(/.f32 (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 (*.f32 u n1_i) #s(literal -7/360 binary32)))) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u)))) normAngle)
(/.f32 (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 (*.f32 u n1_i) #s(literal 7/360 binary32))) (*.f32 (*.f32 u n1_i) #s(literal 1/6 binary32))))) normAngle)
(/.f32 (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))) normAngle)
(/.f32 (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (neg.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 u n1_i) (fma.f32 #s(literal 1/720 binary32) (*.f32 u n1_i) (*.f32 (*.f32 (*.f32 u n1_i) #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))))) (*.f32 (*.f32 u n1_i) #s(literal -7/360 binary32)))) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u)))) normAngle)
(/.f32 (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (neg.f32 (pow.f32 normAngle #s(literal 2 binary32))) (+.f32 (*.f32 (*.f32 u n1_i) #s(literal 1/840 binary32)) (*.f32 (*.f32 (*.f32 u n1_i) #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) (*.f32 (*.f32 u n1_i) #s(literal 7/360 binary32))) (*.f32 (*.f32 u n1_i) #s(literal 1/6 binary32))))) normAngle)
(/.f32 (*.f32 n1_i u) (sin.f32 normAngle))
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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n0_i
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(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(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 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(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 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(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 (-.f32 #s(literal 1 binary32) u) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (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 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(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 (-.f32 #s(literal 1 binary32) u) n0_i)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (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))))

eval105.0ms (0.6%)

Compiler

Compiled 22419 to 3602 computations (83.9% saved)

prune172.0ms (1%)

Pruning

43 alts after pruning (37 fresh and 6 done)

PrunedKeptTotal
New86012872
Fresh42529
Picked415
Done055
Total86843911
Accuracy
100.0%
Counts
911 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(/.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))
32.9%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
76.7%
(/.f32 (*.f32 n0_i (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) n0_i)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
43.5%
(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
45.6%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
87.1%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
86.7%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)))
96.0%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 u normAngle)))))
95.2%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))))) n1_i))
96.0%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
96.3%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
96.7%
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i))
83.3%
(+.f32 n0_i (/.f32 (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)))
71.5%
(+.f32 n0_i (/.f32 (*.f32 u (*.f32 n1_i normAngle)) (sin.f32 normAngle)))
56.7%
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
76.6%
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
97.5%
(+.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)))
97.9%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
96.3%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
92.3%
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
80.9%
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))))
80.0%
(+.f32 n0_i (*.f32 u n1_i))
79.7%
(+.f32 n0_i (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
73.2%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
76.1%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 u n1_i) normAngle)))
96.5%
(*.f32 (neg.f32 normAngle) (-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (/.f32 (*.f32 n1_i u) normAngle)))
56.4%
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
39.2%
(*.f32 u n1_i)
95.7%
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
40.0%
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
55.1%
(*.f32 n0_i (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (sin.f32 normAngle)))
57.2%
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
95.7%
(*.f32 n0_i (-.f32 (/.f32 (+.f32 n0_i (*.f32 u n1_i)) n0_i) u))
94.7%
(*.f32 n0_i (-.f32 (*.f32 n1_i (+.f32 (/.f32 #s(literal 1 binary32) n1_i) (/.f32 u n0_i))) u))
56.5%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
97.3%
(*.f32 n0_i (+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (-.f32 #s(literal 1 binary32) u)))
80.7%
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))) n0_i)))
95.7%
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i (/.f32 u n0_i)) u)))
56.7%
(*.f32 n0_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
37.3%
(*.f32 n0_i (*.f32 u (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32))))
56.3%
(*.f32 n0_i (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
38.9%
(*.f32 n0_i (*.f32 n1_i (/.f32 u n0_i)))
44.6%
n0_i
Compiler

Compiled 1851 to 748 computations (59.6% saved)

regimes291.0ms (1.7%)

Counts
79 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 (neg.f32 n0_i) u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(*.f32 n0_i (*.f32 n1_i (/.f32 u n0_i)))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(*.f32 n0_i (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(*.f32 n0_i (*.f32 u (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i (/.f32 u n0_i)) u)))
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u))
(*.f32 n0_i (-.f32 (/.f32 (+.f32 n0_i (*.f32 u n1_i)) n0_i) u))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(*.f32 n0_i (-.f32 (*.f32 n1_i (+.f32 (/.f32 #s(literal 1 binary32) n1_i) (/.f32 u n0_i))) u))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))))
(fma.f32 n1_i u n0_i)
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 n0_i (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (sin.f32 normAngle)))
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (*.f32 u (*.f32 n1_i normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(*.f32 normAngle (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
(*.f32 n0_i (+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))) n0_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.f32 n0_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(*.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)))
(+.f32 n0_i (/.f32 (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 u normAngle)))))
(*.f32 u (+.f32 (/.f32 n0_i u) (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 u n1_i) 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 (*.f32 u normAngle) n1_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_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 #s(literal -1/6 binary32) n1_i)))) n0_i))))
(*.f32 (neg.f32 normAngle) (-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (/.f32 (*.f32 n1_i u) normAngle)))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))))) n1_i))
(/.f32 (fma.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i (*.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 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(+.f32 n0_i (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
(/.f32 (*.f32 n0_i (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) n0_i)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(*.f32 n0_i (+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (*.f32 n1_i normAngle)))) (sin.f32 normAngle))
(*.f32 (neg.f32 normAngle) (-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (*.f32 n1_i (/.f32 u (sin.f32 normAngle)))))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (sin.f32 normAngle) n1_i))) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (-.f32 n0_i (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (/.f32 (+.f32 #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 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
Outputs
(*.f32 n0_i (+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
Calls

5 calls:

98.0ms
n0_i
90.0ms
(+.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))
55.0ms
u
20.0ms
n1_i
20.0ms
normAngle
Results
AccuracySegmentsBranch
98.3%1normAngle
98.3%1u
98.3%1n0_i
98.3%1n1_i
98.3%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 33 computations (32.7% saved)

regimes125.0ms (0.7%)

Counts
67 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 (neg.f32 n0_i) u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(*.f32 n0_i (*.f32 n1_i (/.f32 u n0_i)))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(*.f32 n0_i (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(*.f32 n0_i (*.f32 u (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i (/.f32 u n0_i)) u)))
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u))
(*.f32 n0_i (-.f32 (/.f32 (+.f32 n0_i (*.f32 u n1_i)) n0_i) u))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(*.f32 n0_i (-.f32 (*.f32 n1_i (+.f32 (/.f32 #s(literal 1 binary32) n1_i) (/.f32 u n0_i))) u))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))))
(fma.f32 n1_i u n0_i)
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 n0_i (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (sin.f32 normAngle)))
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (*.f32 u (*.f32 n1_i normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(*.f32 normAngle (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
(*.f32 n0_i (+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))))) n0_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 u normAngle) n1_i)))
(+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))) n0_i)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.f32 n0_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(*.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)))
(+.f32 n0_i (/.f32 (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 u normAngle)))))
(*.f32 u (+.f32 (/.f32 n0_i u) (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (*.f32 u n1_i) 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 (*.f32 u normAngle) n1_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_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 #s(literal -1/6 binary32) n1_i)))) n0_i))))
(*.f32 (neg.f32 normAngle) (-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i normAngle)) (/.f32 (*.f32 n1_i u) normAngle)))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))))) n1_i))
(/.f32 (fma.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i (*.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 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(+.f32 n0_i (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))
(/.f32 (*.f32 n0_i (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) n0_i)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
Calls

4 calls:

69.0ms
n0_i
18.0ms
n1_i
18.0ms
normAngle
17.0ms
u
Results
AccuracySegmentsBranch
97.9%1normAngle
97.9%1u
97.9%1n0_i
97.9%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes118.0ms (0.7%)

Counts
30 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 (neg.f32 n0_i) u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(*.f32 n0_i (*.f32 n1_i (/.f32 u n0_i)))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(*.f32 n0_i (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(*.f32 n0_i (*.f32 u (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i (/.f32 u n0_i)) u)))
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u))
(*.f32 n0_i (-.f32 (/.f32 (+.f32 n0_i (*.f32 u n1_i)) n0_i) u))
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(*.f32 n0_i (-.f32 (*.f32 n1_i (+.f32 (/.f32 #s(literal 1 binary32) n1_i) (/.f32 u n0_i))) u))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))))
(fma.f32 n1_i u n0_i)
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 n0_i (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (sin.f32 normAngle)))
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (*.f32 u (*.f32 n1_i normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(*.f32 normAngle (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
Outputs
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
Calls

4 calls:

84.0ms
u
16.0ms
n1_i
8.0ms
n0_i
8.0ms
normAngle
Results
AccuracySegmentsBranch
96.3%1u
96.3%1normAngle
96.3%1n0_i
96.3%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes13.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 (neg.f32 n0_i) u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
(*.f32 n0_i (*.f32 n1_i (/.f32 u n0_i)))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
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

4 calls:

3.0ms
normAngle
3.0ms
n1_i
3.0ms
u
3.0ms
n0_i
Results
AccuracySegmentsBranch
80.0%1normAngle
80.0%1u
83.6%2n0_i
87.8%3n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Counts
5 → 3
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(*.f32 (neg.f32 n0_i) u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_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:

2.0ms
n1_i
Results
AccuracySegmentsBranch
87.6%3n1_i
Compiler

Compiled 5 to 4 computations (20% saved)

regimes37.0ms (0.2%)

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

30.0ms
n1_i
2.0ms
n0_i
2.0ms
u
2.0ms
normAngle
Results
AccuracySegmentsBranch
56.5%1u
56.5%1normAngle
70.7%3n0_i
73.0%3n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes4.0ms (0%)

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

2 calls:

2.0ms
n0_i
2.0ms
n1_i
Results
AccuracySegmentsBranch
60.3%3n0_i
63.1%3n1_i
Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
n0_i
1.0ms
normAngle
1.0ms
n1_i
1.0ms
u
Results
AccuracySegmentsBranch
44.6%1n0_i
44.6%1normAngle
44.6%1u
44.6%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
1.1602391165477296e-25
2.6364579477959327e-25
0.0ms
-6.2824685276575075e-24
-2.9672316640900817e-24
Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
1.1602391165477296e-25
2.6364579477959327e-25
0.0ms
-6.2824685276575075e-24
-2.9672316640900817e-24
Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
3.038089633300074e-18
4.657313053165489e-18
0.0ms
-2.6499825483419454e-21
-4.531867692064118e-23
Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
6.811570316335905e-22
3.5242029997821744e-21
0.0ms
-1.210558492792663e-23
-1.1225963208977225e-23
Compiler

Compiled 32 to 24 computations (25% saved)

simplify94.0ms (0.6%)

Algorithm
egg-herbie
Rules
28×*-commutative
22×+-commutative
12×sub-neg
if-if-or-not
neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060444
1101440
2114440
3122440
4124440
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 n0_i (+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n1_i #s(literal -6338253/1267650600228229401496703205376 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (if (<=.f32 n1_i #s(literal 2028241/10141204801825835211973625643008 binary32)) (+.f32 n0_i (*.f32 (neg.f32 n0_i) u)) (+.f32 n0_i (*.f32 u n1_i))))
(if (<=.f32 n1_i #s(literal -6338253/1267650600228229401496703205376 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (if (<=.f32 n1_i #s(literal 2028241/10141204801825835211973625643008 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 n0_i (*.f32 u n1_i))))
(if (<=.f32 n1_i #s(literal -309485/154742504910672534362390528 binary32)) (*.f32 u n1_i) (if (<=.f32 n1_i #s(literal 9671407/2417851639229258349412352 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)))
(if (<=.f32 n1_i #s(literal -15211807/1267650600228229401496703205376 binary32)) (*.f32 u n1_i) (if (<=.f32 n1_i #s(literal 309485/309485009821345068724781056 binary32)) n0_i (*.f32 u n1_i)))
n0_i
Outputs
(*.f32 n0_i (+.f32 (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u n0_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n1_i #s(literal -6338253/1267650600228229401496703205376 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (if (<=.f32 n1_i #s(literal 2028241/10141204801825835211973625643008 binary32)) (+.f32 n0_i (*.f32 (neg.f32 n0_i) u)) (+.f32 n0_i (*.f32 u n1_i))))
(if (or (<=.f32 n1_i #s(literal -6338253/1267650600228229401496703205376 binary32)) (not (<=.f32 n1_i #s(literal 2028241/10141204801825835211973625643008 binary32)))) (+.f32 n0_i (*.f32 n1_i u)) (+.f32 n0_i (*.f32 u (neg.f32 n0_i))))
(if (or (<=.f32 n1_i #s(literal -6338253/1267650600228229401496703205376 binary32)) (not (<=.f32 n1_i #s(literal 2028241/10141204801825835211973625643008 binary32)))) (+.f32 n0_i (*.f32 n1_i u)) (-.f32 n0_i (*.f32 n0_i u)))
(if (<=.f32 n1_i #s(literal -6338253/1267650600228229401496703205376 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (if (<=.f32 n1_i #s(literal 2028241/10141204801825835211973625643008 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 n0_i (*.f32 u n1_i))))
(if (or (<=.f32 n1_i #s(literal -6338253/1267650600228229401496703205376 binary32)) (not (<=.f32 n1_i #s(literal 2028241/10141204801825835211973625643008 binary32)))) (+.f32 n0_i (*.f32 n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(if (<=.f32 n1_i #s(literal -309485/154742504910672534362390528 binary32)) (*.f32 u n1_i) (if (<=.f32 n1_i #s(literal 9671407/2417851639229258349412352 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)))
(if (or (<=.f32 n1_i #s(literal -309485/154742504910672534362390528 binary32)) (not (<=.f32 n1_i #s(literal 9671407/2417851639229258349412352 binary32)))) (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(if (<=.f32 n1_i #s(literal -15211807/1267650600228229401496703205376 binary32)) (*.f32 u n1_i) (if (<=.f32 n1_i #s(literal 309485/309485009821345068724781056 binary32)) n0_i (*.f32 u n1_i)))
(if (or (<=.f32 n1_i #s(literal -15211807/1267650600228229401496703205376 binary32)) (not (<=.f32 n1_i #s(literal 309485/309485009821345068724781056 binary32)))) (*.f32 n1_i u) n0_i)
n0_i

soundness2.9s (17.1%)

Rules
1620×fma-define
1510×fmm-def
1088×fma-define
1040×times-frac
1012×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039959
1657894
27603894
01151608
13041396
28281320
324131170
445851170
577991170
0127356153
1373954764
0107934266
1312832973
0131047783
1357845923
01634117043
14302112125
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 727 to 250 computations (65.6% saved)

preprocess40.0ms (0.2%)

Remove

(abs normAngle)

Compiler

Compiled 442 to 230 computations (48% saved)

end0.0ms (0%)

Profiling

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