Curve intersection, scale width based on ribbon orientation

Time bar (total: 17.8s)

analyze458.0ms (2.6%)

Memory
8.5MiB live, 441.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.8%99.2%0%0%0%0
0%0%0.8%99.2%0%0%0%1
0%0%0.8%99.2%0%0%0%2
0%0%0.8%99.2%0%0%0%3
0%0%0.8%99.2%0%0%0%4
0%0%0.8%99.2%0%0%0%5
16.7%0.1%0.5%99.2%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)

sample3.1s (17.7%)

Memory
126.8MiB live, 4 855.8MiB allocated
Samples
1.9s8 256×0valid
642.0ms2 085×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-sin: 542.0ms (25.5% of total)
ival-mult: 477.0ms (22.4% of total)
ival-<=: 271.0ms (12.7% of total)
ival-div: 228.0ms (10.7% of total)
ival-sub: 200.0ms (9.4% of total)
...in/eval/compile.rkt:77:19: 193.0ms (9.1% of total)
ival-add: 95.0ms (4.5% of total)
ival-and: 53.0ms (2.5% of total)
ival-pi: 48.0ms (2.3% of total)
...in/eval/compile.rkt:76:19: 18.0ms (0.8% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

preprocess144.0ms (0.8%)

Memory
13.2MiB live, 130.5MiB allocated
Algorithm
1×egg-herbie
Rules
1 510×fmm-def
1 088×fma-define
1 012×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
1×node limit
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u)) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n1_i)))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n1_i)))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u)) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n1_i))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) normAngle) u)) (/.f32 #s(literal 1 binary32) (sin.f32 u))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 #s(literal 1 binary32) (sin.f32 u))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n0_i))) normAngle) (*.f32 (*.f32 (sin.f32 (*.f32 u n0_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n0_i))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n1_i))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u n1_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n1_i))) normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) n0_i) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) u) (*.f32 (*.f32 (sin.f32 (*.f32 n0_i normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) n1_i) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 n1_i normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) u))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i))
Outputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(fma.f32 (/.f32 (sin.f32 (*.f32 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)

explain194.0ms (1.1%)

Memory
-22.9MiB live, 459.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
280-25(1.1591636857813724e-36 9.042083748411756e-10 -8.775195153853943e-11 1.159240325260269e-11)(*.f32 (sin.f32 (*.f32 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 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
00-0-(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
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
Confusion
Predicted +Predicted -
+011
-2243
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+0011
-20243
Precision?
0.0
Recall?
0.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
58.0ms500×0valid
5.0ms12×1valid
Compiler

Compiled 264 to 72 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 19.0ms (45.2% of total)
ival-sin: 13.0ms (30.9% of total)
ival-div: 4.0ms (9.5% of total)
ival-sub: 3.0ms (7.1% of total)
ival-add: 2.0ms (4.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Compiler

Compiled 85 to 26 computations (69.4% saved)

prune4.0ms (0%)

Memory
14.1MiB live, 14.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.6%
(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)))
▶97.3%
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
▶69.8%
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
▶97.3%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
▶69.5%
(*.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)

simplify217.0ms (1.2%)

Memory
1.6MiB live, 119.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
✓cost-diff64
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
✓cost-diff64
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓cost-diff3392
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
✓cost-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
2 192×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
1×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

localize144.0ms (0.8%)

Memory
-20.2MiB live, 251.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy99.0%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
✓accuracy98.6%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy94.9%
(*.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)))
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy94.9%
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
✓accuracy61.5%
(/.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%
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy70.0%
(/.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)
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy69.8%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
✓accuracy99.5%
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy98.6%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy94.6%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
Samples
65.0ms250×0valid
3.0ms6×1valid
Compiler

Compiled 407 to 32 computations (92.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 20.0ms (49.1% of total)
ival-div: 8.0ms (19.6% of total)
ival-sin: 6.0ms (14.7% of total)
ival-add: 5.0ms (12.3% of total)
ival-sub: 1.0ms (2.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series227.0ms (1.3%)

Memory
14.3MiB live, 324.9MiB allocated
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 (+.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 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 (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) u))) (*.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)))>
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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))))>
#<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 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle))))) (*.f32 n0_i (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (sin.f32 normAngle))))))))>
#<alt (+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (sin.f32 normAngle)))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle))))))))))>
#<alt (+.f32 (*.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 u (+.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 u (sin.f32 normAngle))))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle)))))))))))>
#<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))))>
#<alt (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))>
#<alt (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))>
#<alt (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))>
#<alt (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))))>
#<alt (*.f32 normAngle (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))>
#<alt (*.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)))))))))>
#<alt (*.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))))))))))>
#<alt (*.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 1/120 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 #s(literal 1/362880 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 9 binary32)))))))))))))>
#<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))))>
#<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
45.0ms
normAngle
@-inf
(* (/ 1 (sin normAngle)) n1_i)
9.0ms
n1_i
@inf
(* (sin (* u normAngle)) n1_i)
9.0ms
normAngle
@0
(* (/ 1 (sin normAngle)) n1_i)
7.0ms
normAngle
@0
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
5.0ms
normAngle
@-inf
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

rewrite704.0ms (4%)

Memory
-16.3MiB live, 743.0MiB allocated
Algorithm
1×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
1×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))))
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(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)))

simplify1.3s (7.5%)

Memory
25.6MiB live, 1 845.1MiB allocated
Algorithm
1×egg-herbie
Rules
1 270×*-commutative
748×+-commutative
666×cancel-sign-sub-inv
622×sub-neg
564×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01960135718
15534134980
Stop Event
1×node limit
Counts
1 618 → 921
Calls
Call 1
Inputs
(+.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 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 (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) u))) (*.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 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/362880 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 9 binary32)))) (*.f32 #s(literal 1/362880 binary32) (*.f32 n1_i (pow.f32 u #s(literal 9 binary32))))) (+.f32 (*.f32 #s(literal -1/6 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 -1/5040 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 -1/5040 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 (*.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 1/362880 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 #s(literal 1/362880 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/120 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 1/120 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 -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.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) 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) 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)))
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(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))) (sqrt.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32))) (cbrt.f32 n0_i))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (sqrt.f32 n0_i)) (sqrt.f32 n0_i))
(*.f32 (*.f32 n0_i (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))
(*.f32 (*.f32 n0_i (sqrt.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))
(*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))))
(*.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)))
Outputs
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))))
(+.f32 n0_i (*.f32 u (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle))) (sin.f32 normAngle))))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (fma.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))))
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(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
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(*.f32 normAngle (+.f32 #s(literal 1 binary32) (-.f32 (*.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 #s(literal 1 binary32) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #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 #s(literal 1 binary32) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #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))))) (neg.f32 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))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))))) u)))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))) (neg.f32 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 1/120 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 #s(literal 1/362880 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 9 binary32))))))))))) u))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1/362880 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 9 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 (*.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))))
(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 normAngle n1_i))))
(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))))
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (+.f32 (*.f32 #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)))))
(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (sin.f32 normAngle)))) (*.f32 normAngle n1_i)))))
(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (sin.f32 normAngle)))) (*.f32 normAngle n1_i)) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))))
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (+.f32 (*.f32 n1_i normAngle) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (sin.f32 normAngle)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle))))))))))))
(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (fma.f32 n1_i normAngle (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (pow.f32 normAngle #s(literal 3 binary32)))))))))))))
(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (-.f32 (fma.f32 n1_i normAngle (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (pow.f32 normAngle #s(literal 3 binary32)))))))))) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))))
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (+.f32 (*.f32 n1_i normAngle) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (sin.f32 normAngle)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 u (sin.f32 normAngle))))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle)))))))))))))
(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (fma.f32 n1_i normAngle (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 u (sin.f32 normAngle)))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (pow.f32 normAngle #s(literal 3 binary32))))))))))))))
(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (-.f32 (fma.f32 n1_i normAngle (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 u (sin.f32 normAngle)))) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (pow.f32 normAngle #s(literal 3 binary32))))))))))) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.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 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 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/362880 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 9 binary32)))) (*.f32 #s(literal 1/362880 binary32) (*.f32 n1_i (pow.f32 u #s(literal 9 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)) (fma.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 -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal 1/362880 binary32) (+.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 9 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 9 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 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
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(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 u normAngle)) (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)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(/.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))) (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 (*.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 normAngle) #s(literal -2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))) (sin.f32 (*.f32 u normAngle))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32))) (/.f32 (sin.f32 (*.f32 u normAngle)) (cbrt.f32 (sin.f32 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 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(*.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 (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 (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 (sin.f32 (*.f32 u normAngle)) (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 (sin.f32 (*.f32 u normAngle)) (sin.f32 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 (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 (sin.f32 (*.f32 u normAngle)) (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 (sin.f32 (*.f32 u normAngle)) (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 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sqrt.f32 (sin.f32 normAngle))))
(*.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 (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 (/.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 (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (/.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))))
(*.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 (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 (sin.f32 (*.f32 u normAngle)) (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 (sin.f32 (*.f32 u normAngle)) (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 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 2 binary32)))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 2 binary32))) (sin.f32 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 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32)))))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) #s(literal -1 binary32))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(neg.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(cbrt.f32 (*.f32 (pow.f32 (/.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))))

eval403.0ms (2.3%)

Memory
-10.8MiB live, 541.6MiB allocated
Compiler

Compiled 74 166 to 7 313 computations (90.1% saved)

prune480.0ms (2.7%)

Memory
16.8MiB live, 811.1MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New2 113142 127
Fresh000
Picked505
Done000
Total2 118142 132
Accuracy
100.0%
Counts
2 132 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(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)))))))
▶69.8%
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
69.8%
(/.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))
69.6%
(/.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))))
97.2%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) (neg.f32 u))) (-.f32 #s(literal 1 binary32) (neg.f32 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))
97.4%
(+.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))))
▶98.9%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))))
▶99.4%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
▶86.0%
(+.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)))))
69.6%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
69.6%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) (neg.f32 u))) (-.f32 #s(literal 1 binary32) (neg.f32 u))) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
69.5%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
62.1%
(*.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))))
▶61.1%
(*.f32 n0_i (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
Compiler

Compiled 822 to 502 computations (38.9% saved)

simplify81.0ms (0.5%)

Memory
0.5MiB live, 78.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 u normAngle)
cost-diff0
(sin.f32 (*.f32 u normAngle))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))
✓cost-diff0
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))))
✓cost-diff0
(pow.f32 normAngle #s(literal 2 binary32))
✓cost-diff0
(*.f32 n1_i u)
cost-diff0
(-.f32 #s(literal 1 binary32) u)
✓cost-diff0
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓cost-diff32
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
✓cost-diff256
(+.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)))))
✓cost-diff3392
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
✓cost-diff3392
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
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)) n0_i)
✓cost-diff0
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
✓cost-diff192
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
✓cost-diff3328
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
✓cost-diff3328
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
Rules
1 734×fmm-def
884×cancel-sign-sub-inv
882×unsub-neg
690×distribute-lft-in
686×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0692372
11772320
24852266
317502160
454782157
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(/.f32 (cos.f32 normAngle) (sin.f32 normAngle))
(cos.f32 normAngle)
(/.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 (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)
#s(literal 1 binary32)
u
normAngle
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(sin.f32 normAngle)
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
n0_i
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
u
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
#s(literal -1 binary32)
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))
(*.f32 normAngle (cos.f32 normAngle))
normAngle
(cos.f32 normAngle)
(sin.f32 normAngle)
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i normAngle)
n1_i
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))))
(*.f32 n1_i u)
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))
(*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))
#s(literal -1/6 binary32)
(*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
#s(literal 3 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))
(*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))
(pow.f32 u #s(literal 3 binary32))
(*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(*.f32 n0_i (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
n0_i
(+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))))
n1_i
(/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(*.f32 n0_i (sin.f32 normAngle))
(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 #s(literal 1 binary32) u)
#s(literal 1 binary32)
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) n0_i)
(fma.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) n0_i)
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))))))
(*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))))
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle))))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(*.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 n0_i (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (cos.f32 normAngle) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n0_i))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 n0_i normAngle))
(*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (cos.f32 normAngle) (sin.f32 normAngle))
(cos.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 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(*.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))))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(sin.f32 normAngle)
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) n0_i)
(fma.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) n0_i)
n0_i
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))))))
(*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))))
u
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle))))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(*.f32 (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 n0_i))
(*.f32 normAngle (*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 n0_i)))
(*.f32 n0_i (/.f32 (*.f32 (cos.f32 normAngle) (neg.f32 normAngle)) (sin.f32 normAngle)))
#s(literal -1 binary32)
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(*.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 n0_i (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 (cos.f32 normAngle) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n0_i))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 n0_i normAngle))
(*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))
(*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))
(*.f32 normAngle (cos.f32 normAngle))
normAngle
(cos.f32 normAngle)
(sin.f32 normAngle)
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 n1_i normAngle)
n1_i
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) (*.f32 u n1_i)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 #s(literal -1/6 binary32) (*.f32 (-.f32 (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) (pow.f32 normAngle #s(literal 2 binary32))))))
(+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))) (*.f32 (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))))
(fma.f32 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 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 #s(literal -1/6 binary32) (*.f32 (-.f32 (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) (pow.f32 normAngle #s(literal 2 binary32)))))
(fma.f32 u n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))))
(fma.f32 u n1_i (*.f32 (+.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (+.f32 u #s(literal -1 binary32))))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32))))
(*.f32 n1_i u)
(*.f32 u n1_i)
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))
(*.f32 (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)))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (-.f32 (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) (pow.f32 normAngle #s(literal 2 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (+.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (+.f32 u #s(literal -1 binary32))))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))
(+.f32 (*.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 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))
(+.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))
(*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (+.f32 u #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 n1_i (pow.f32 u #s(literal 3 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 #s(literal -1/6 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))
(*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))
(*.f32 n0_i (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))
#s(literal -1/6 binary32)
(*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
#s(literal 3 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))
(*.f32 (pow.f32 u #s(literal 3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))
(*.f32 n1_i (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))))
(*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))
(pow.f32 u #s(literal 3 binary32))
(*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
(*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(*.f32 #s(literal -1/6 binary32) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 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 (sin.f32 (*.f32 u normAngle)) (*.f32 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 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i n0_i)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
n0_i
(+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (/.f32 n1_i n0_i) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))))
(*.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
n1_i
(/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
(*.f32 n0_i (sin.f32 normAngle))
(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 #s(literal 1 binary32) u)
#s(literal 1 binary32)

localize452.0ms (2.5%)

Memory
29.0MiB live, 374.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(*.f32 n0_i (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
✓accuracy99.2%
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))))
✓accuracy99.0%
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
✓accuracy60.2%
(/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))
✓accuracy98.9%
(*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
✓accuracy98.9%
(*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))
✓accuracy98.2%
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
✓accuracy76.4%
(-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))
✓accuracy99.7%
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
✓accuracy99.6%
(*.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))))
✓accuracy64.2%
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
✓accuracy61.6%
(/.f32 (*.f32 n0_i (*.f32 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 (sin.f32 (*.f32 u normAngle)) n1_i)
accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy70.0%
(/.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))
✓accuracy99.8%
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
✓accuracy99.7%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
✓accuracy99.6%
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
✓accuracy99.4%
(*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
Samples
260.0ms248×0valid
7.0ms8×1valid
Compiler

Compiled 620 to 63 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 175.0ms
ival-add: 58.0ms (33.1% of total)
ival-mult: 49.0ms (27.9% of total)
...in/eval/compile.rkt:77:19: 35.0ms (19.9% of total)
ival-div: 12.0ms (6.8% of total)
ival-sin: 9.0ms (5.1% of total)
ival-pow: 5.0ms (2.8% of total)
ival-sub: 3.0ms (1.7% of total)
ival-cos: 2.0ms (1.1% of total)
ival-pow2: 2.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series205.0ms (1.2%)

Memory
-20.9MiB live, 444.7MiB allocated
Counts
23 → 588
Calls
Call 1
Inputs
#<alt (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))>
#<alt (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))>
#<alt (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))>
#<alt (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))>
#<alt (+.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 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))>
#<alt (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))>
#<alt (*.f32 n1_i u)>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))))>
#<alt (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))>
#<alt (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))>
#<alt (/.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))>
#<alt (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))>
#<alt (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))>
#<alt (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))>
#<alt (*.f32 n0_i (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))>
Outputs
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
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#<alt (+.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 (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) n0_i)) (*.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) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i u) n0_i)))) (+.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 1/120 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 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i)) (*.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))))))))>
#<alt (+.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 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i)) (*.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 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 7 binary32))) n0_i)) (*.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) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) n0_i)) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i u) n0_i)))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i u) n0_i))))) (+.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 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i u) n0_i)))) (*.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 n0_i (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) n0_i)) (*.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) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i u) n0_i)))) (+.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 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i u) n0_i))))))))))))>
#<alt (+.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 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i)) (*.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 (+.f32 (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) n0_i)) (*.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) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i u) n0_i)))) (+.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 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 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 (*.f32 #s(literal 1/362880 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 9 binary32))) n0_i)) (*.f32 #s(literal 1/362880 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 9 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 7 binary32))) n0_i)) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) n0_i)) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i u) n0_i)))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i u) n0_i))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 n1_i u) n0_i)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i u) n0_i)))))))) (+.f32 (*.f32 #s(literal -1/6 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 -1/5040 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i u) n0_i)))) (+.f32 (*.f32 #s(literal -1/5040 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 1/362880 binary32) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 #s(literal 1/362880 binary32) (/.f32 (*.f32 n1_i u) n0_i)) (+.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) n0_i)) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i u) n0_i)))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i u) n0_i))))) (*.f32 #s(literal 1/120 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 n0_i (-.f32 (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 7 binary32))) n0_i)) (*.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) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) n0_i)) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i u) n0_i)))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i u) n0_i))))) (+.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 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i u) n0_i)))) (*.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))))))))))))))))))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
Calls

186 calls:

TimeVariablePointExpression
19.0ms
u
@inf
(* n1_i u)
11.0ms
u
@0
(* u (- (* n1_i (/ normAngle (sin normAngle))) (* n0_i (* normAngle (/ (cos normAngle) (sin normAngle))))))
5.0ms
n0_i
@-inf
(- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))
5.0ms
normAngle
@0
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
5.0ms
normAngle
@0
(* u (- (* n1_i (/ normAngle (sin normAngle))) (* n0_i (* normAngle (/ (cos normAngle) (sin normAngle))))))

rewrite281.0ms (1.6%)

Memory
23.0MiB live, 380.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
531×log1p-expm1-u
531×expm1-log1p-u
516×add-exp-log
515×add-log-exp
514×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0661154
113011075
Stop Event
1×node limit
Counts
23 → 476
Calls
Call 1
Inputs
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(+.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 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 n1_i u)
(pow.f32 normAngle #s(literal 2 binary32))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 (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 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(*.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 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(*.f32 n0_i (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
Outputs
(+.f32 (*.f32 u (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) (*.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))) #s(literal 1 binary32))
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(exp.f32 (*.f32 (log.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))) #s(literal 1 binary32)))
(fma.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i))) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i))

simplify1.8s (10%)

Memory
-218.7MiB live, 1 631.5MiB allocated
Algorithm
1×egg-herbie
Rules
1 190×*-commutative
870×+-commutative
808×fmm-def
804×cancel-sign-sub-inv
788×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0191293057
1586991373
Stop Event
1×node limit
Counts
1 064 → 844
Calls
Call 1
Inputs
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #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 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
(+.f32 (*.f32 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)))))))))
(+.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))))))))))))))
(+.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 (*.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)))))))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (+.f32 (*.f32 #s(literal 1/362880 binary32) n0_i) (*.f32 #s(literal 1/120 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 -1/120 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))) (+.f32 (*.f32 #s(literal -1/30240 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/362880 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/40320 binary32) n0_i) (*.f32 #s(literal 1/6 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 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #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 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(*.f32 #s(literal -1 binary32) (*.f32 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 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))))
(-.f32 (/.f32 (*.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 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.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 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 #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 #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))))))
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(fma.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) 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 (pow.f32 (cbrt.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))) (neg.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) 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 (sqrt.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))) (sqrt.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))) (neg.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))
(fma.f32 (sqrt.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))) (sqrt.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))
(fma.f32 (sqrt.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (sqrt.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) 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 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) 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 (exp.f32 (log1p.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))
(log.f32 (exp.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))
(exp.f32 (*.f32 #s(literal 3 binary32) (log1p.f32 (neg.f32 u))))
(exp.f32 (*.f32 (*.f32 #s(literal 3 binary32) (log1p.f32 (neg.f32 u))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (*.f32 #s(literal -1/6 binary32) n0_i)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))))
(exp.f32 (log.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (*.f32 u n1_i)))
(+.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32)) (*.f32 (*.f32 u n1_i) #s(literal -1/6 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))) #s(literal 1 binary32))
(pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) #s(literal 3 binary32))
(pow.f32 (*.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) #s(literal 3 binary32)) #s(literal -1/216 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 #s(literal -1/6 binary32)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) #s(literal 3 binary32)) #s(literal -1/216 binary32)))
(expm1.f32 (log1p.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))
(log1p.f32 (expm1.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))
(exp.f32 (log.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) #s(literal 1 binary32)))
(fma.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 u n1_i) #s(literal -1/6 binary32)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 u n1_i)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(pow.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 1 binary32)))
(+.f32 (*.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(+.f32 (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) 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 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))))) #s(literal 1 binary32))
(pow.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) 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 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) 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 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) 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 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) n0_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))))))
(cbrt.f32 (pow.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))))
(log1p.f32 (expm1.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))))
(exp.f32 (log.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))))
(exp.f32 (*.f32 (log.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))) #s(literal 1 binary32)))
(fma.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i))) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i))
Outputs
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
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(*.f32 n0_i (fma.f32 n1_i (/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(pow.f32 (cbrt.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))) #s(literal 3 binary32))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(pow.f32 (pow.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) 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))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(pow.f32 (sqrt.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))) #s(literal 2 binary32))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(log.f32 (pow.f32 (exp.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) n0_i))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (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 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(cbrt.f32 (pow.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) #s(literal 3 binary32)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(expm1.f32 (log1p.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))))
(expm1.f32 (log1p.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))))
(log1p.f32 (expm1.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (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 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(exp.f32 (log.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (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 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))) #s(literal 1 binary32)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(fma.f32 n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i))) (*.f32 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 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) n0_i))) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))

eval193.0ms (1.1%)

Memory
28.8MiB live, 567.4MiB allocated
Compiler

Compiled 58 779 to 7 922 computations (86.5% saved)

prune286.0ms (1.6%)

Memory
-7.9MiB live, 727.3MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1 356101 366
Fresh729
Picked415
Done000
Total1 367131 380
Accuracy
100.0%
Counts
1 380 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.6%
(fma.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u n0_i)
✓69.8%
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
69.6%
(/.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))))
▶98.9%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))))))
98.5%
(+.f32 (*.f32 n0_i (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))))
▶94.4%
(+.f32 n0_i (+.f32 (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u)))
99.0%
(+.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)))))))
▶97.6%
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
▶99.4%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
▶99.0%
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
88.8%
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 (neg.f32 n0_i) (/.f32 normAngle (tan.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
99.1%
(+.f32 n0_i (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))
69.6%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) (neg.f32 u))) (-.f32 #s(literal 1 binary32) (neg.f32 u))) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
Compiler

Compiled 686 to 435 computations (36.6% saved)

simplify83.0ms (0.5%)

Memory
-20.2MiB live, 57.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 n1_i (sin.f32 normAngle))
✓cost-diff0
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
cost-diff0
(*.f32 u normAngle)
✓cost-diff0
(*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
✓cost-diff64
(*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))
✓cost-diff64
(neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))
✓cost-diff64
(*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u)
✓cost-diff224
(+.f32 (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u))
✓cost-diff32
(*.f32 #s(literal -1 binary32) n0_i)
✓cost-diff64
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))
✓cost-diff64
(*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))
✓cost-diff64
(+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i))
✓cost-diff0
(*.f32 n0_i #s(literal -1/3 binary32))
cost-diff0
(pow.f32 normAngle #s(literal 2 binary32))
✓cost-diff0
(-.f32 n1_i n0_i)
✓cost-diff32
(neg.f32 (*.f32 n0_i #s(literal -1/3 binary32)))
✓cost-diff0
(/.f32 normAngle (sin.f32 normAngle))
cost-diff0
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
✓cost-diff64
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
✓cost-diff64
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
Rules
1 766×fmm-def
1 468×unsub-neg
634×*-commutative
628×distribute-lft-in
588×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0701939
11951859
26281819
322221754
451821754
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))
(/.f32 normAngle (tan.f32 normAngle))
(tan.f32 normAngle)
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
n0_i
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))))
u
(+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))
(-.f32 n1_i n0_i)
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))
(neg.f32 (*.f32 n0_i #s(literal -1/3 binary32)))
(*.f32 n0_i #s(literal -1/3 binary32))
#s(literal -1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))))))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))))))
(*.f32 n1_i u)
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))))
(-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i))
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))
#s(literal -1/2 binary32)
(*.f32 n0_i u)
(*.f32 #s(literal 1/2 binary32) n0_i)
#s(literal 1/2 binary32)
(*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))
#s(literal -1/6 binary32)
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))
(*.f32 #s(literal -1 binary32) n0_i)
#s(literal -1 binary32)
(+.f32 n0_i (+.f32 (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u)))
n0_i
(+.f32 (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u))
(*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u)
(neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))
(*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))
(*.f32 n0_i normAngle)
normAngle
(/.f32 #s(literal 1 binary32) (tan.f32 normAngle))
#s(literal 1 binary32)
(tan.f32 normAngle)
u
(*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u)
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
(sin.f32 normAngle)
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
n0_i
(*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 u normAngle)
u
normAngle
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
(*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(/.f32 (cos.f32 normAngle) (sin.f32 normAngle))
(cos.f32 normAngle)
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i))) n0_i)
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i))))
(*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))
(*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i)))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))
(/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))
(/.f32 normAngle (tan.f32 normAngle))
(tan.f32 normAngle)
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(fma.f32 u (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
n0_i
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))))
(*.f32 u (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)))
(*.f32 u (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))
u
(+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))
(+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i))
(-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i)
(-.f32 n1_i n0_i)
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))
(+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(neg.f32 (*.f32 n0_i #s(literal -1/3 binary32)))
(*.f32 n0_i #s(literal 1/3 binary32))
(*.f32 n0_i #s(literal -1/3 binary32))
#s(literal -1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u) (+.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 u (*.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (pow.f32 normAngle #s(literal 2 binary32))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 n0_i (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))))))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))))))
(fma.f32 n1_i u (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u) (+.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))))
(fma.f32 u n1_i (*.f32 u (*.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (pow.f32 normAngle #s(literal 2 binary32)))))
(*.f32 u (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 n0_i (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))))
(*.f32 u (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(*.f32 n1_i u)
(*.f32 u n1_i)
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))))
(*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u) (+.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
(*.f32 u (*.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (pow.f32 normAngle #s(literal 2 binary32))))
(*.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 n0_i (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))))
(*.f32 u (+.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
(*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))
(*.f32 u (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 n0_i (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))
(*.f32 u (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))
(-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))
(+.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))
(fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 n0_i (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))
(fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i))
(fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/2 binary32)))
(*.f32 n0_i (+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
(*.f32 n0_i (+.f32 #s(literal 1/2 binary32) (*.f32 u #s(literal -1/2 binary32))))
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))
(*.f32 n0_i (*.f32 u #s(literal -1/2 binary32)))
(*.f32 u (*.f32 n0_i #s(literal -1/2 binary32)))
#s(literal -1/2 binary32)
(*.f32 n0_i u)
(*.f32 #s(literal 1/2 binary32) n0_i)
(*.f32 n0_i #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))
(*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))
(-.f32 n1_i n0_i)
(*.f32 #s(literal -1 binary32) n0_i)
(neg.f32 n0_i)
#s(literal -1 binary32)
(+.f32 n0_i (+.f32 (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u)))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i))) n0_i)
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
n0_i
(+.f32 (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i))))
(*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))
(*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))
(*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u)
(*.f32 u (*.f32 (neg.f32 (*.f32 n0_i normAngle)) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))
(*.f32 u (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i)))
(*.f32 n0_i (*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 u)))
(*.f32 n0_i (*.f32 u (/.f32 normAngle (neg.f32 (tan.f32 normAngle)))))
(neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))
(*.f32 (neg.f32 (*.f32 n0_i normAngle)) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))
(*.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i))
(*.f32 n0_i (/.f32 normAngle (neg.f32 (tan.f32 normAngle))))
(/.f32 (*.f32 n0_i normAngle) (neg.f32 (tan.f32 normAngle)))
(*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))
(/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))
(*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))
(*.f32 n0_i normAngle)
normAngle
(/.f32 #s(literal 1 binary32) (tan.f32 normAngle))
#s(literal 1 binary32)
(tan.f32 normAngle)
u
(*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u)
(*.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
(sin.f32 normAngle)
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
(fma.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) n0_i)
(fma.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle)))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) n0_i)
n0_i
(*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle))))))
(*.f32 u normAngle)
u
normAngle
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
(*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 (cos.f32 normAngle) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (cos.f32 normAngle) (sin.f32 normAngle))
(cos.f32 normAngle)

localize211.0ms (1.2%)

Memory
30.3MiB live, 353.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
✓accuracy99.6%
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
✓accuracy99.2%
(*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
✓accuracy94.6%
(*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
accuracy99.8%
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
✓accuracy99.7%
(+.f32 n0_i (+.f32 (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u)))
✓accuracy99.6%
(+.f32 (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u))
✓accuracy62.4%
(*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))
accuracy99.5%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓accuracy99.3%
(-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))
✓accuracy99.0%
(*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))))
✓accuracy98.9%
(*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))
✓accuracy99.6%
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))))
✓accuracy99.6%
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))
✓accuracy99.0%
(*.f32 n0_i #s(literal -1/3 binary32))
✓accuracy98.8%
(*.f32 n1_i #s(literal 1/6 binary32))
✓accuracy99.9%
(/.f32 normAngle (tan.f32 normAngle))
accuracy99.8%
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
✓accuracy99.7%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
✓accuracy99.6%
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
Samples
117.0ms248×0valid
12.0ms7×5exit
1.0ms1×1valid
Compiler

Compiled 527 to 64 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 35.0ms (39.1% of total)
ival-add: 13.0ms (14.5% of total)
...in/eval/compile.rkt:77:19: 11.0ms (12.3% of total)
ival-div: 9.0ms (10.1% of total)
ival-sub: 7.0ms (7.8% of total)
ival-sin: 3.0ms (3.4% of total)
adjust: 2.0ms (2.2% of total)
ival-pow2: 2.0ms (2.2% of total)
ival-neg: 2.0ms (2.2% of total)
ival-tan: 2.0ms (2.2% of total)
ival-cos: 2.0ms (2.2% of total)
...in/eval/compile.rkt:76:19: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series226.0ms (1.3%)

Memory
-3.3MiB live, 356.4MiB allocated
Counts
27 → 752
Calls
Call 1
Inputs
#<alt (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))>
#<alt (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))>
#<alt (/.f32 normAngle (sin.f32 normAngle))>
#<alt (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32)))>
#<alt (-.f32 n1_i n0_i)>
#<alt (*.f32 n0_i #s(literal -1/3 binary32))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i))>
#<alt (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))>
#<alt (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))>
#<alt (*.f32 #s(literal -1 binary32) n0_i)>
#<alt (+.f32 (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u))>
#<alt (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u)>
#<alt (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))>
#<alt (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))>
#<alt (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))>
#<alt (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))>
#<alt (/.f32 n1_i (sin.f32 normAngle))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))>
#<alt (/.f32 normAngle (tan.f32 normAngle))>
#<alt (*.f32 n1_i #s(literal 1/6 binary32))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))>
#<alt (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))))>
#<alt (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))>
#<alt (+.f32 n0_i (+.f32 (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u)))>
#<alt (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))>
Outputs
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #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 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))>
#<alt (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))))))>
#<alt (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -2/45 binary32) n0_i) (*.f32 #s(literal 17/315 binary32) n0_i))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))))))))))))>
#<alt (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -2/45 binary32) n0_i) (*.f32 #s(literal 17/315 binary32) n0_i))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -2/45 binary32) n0_i) (*.f32 #s(literal 17/315 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -2/15 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -17/945 binary32) n0_i) (*.f32 #s(literal 62/2835 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -1/120 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))) (+.f32 (*.f32 #s(literal -1/30240 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/362880 binary32) n1_i) (*.f32 #s(literal 1/6 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)))))))))))))))))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #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 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))))>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))))>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.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 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.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 n0_i u)))))>
#<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 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 (*.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)))))))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (+.f32 (*.f32 #s(literal 1/362880 binary32) n0_i) (*.f32 #s(literal 1/120 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 -1/120 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))) (+.f32 (*.f32 #s(literal -1/30240 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/362880 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/40320 binary32) n0_i) (*.f32 #s(literal 1/6 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)))))))))))))))))))))>
#<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 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 (*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i 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 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 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 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 #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 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) n1_i)))))>
Calls

204 calls:

TimeVariablePointExpression
48.0ms
normAngle
@inf
(/ normAngle (tan normAngle))
13.0ms
u
@-inf
(+ n0_i (* (* u normAngle) (- (/ n1_i (sin normAngle)) (* n0_i (/ (cos normAngle) (sin normAngle))))))
7.0ms
u
@0
(* u (- (* n1_i (/ normAngle (sin normAngle))) (* n0_i (/ normAngle (tan normAngle)))))
6.0ms
normAngle
@-inf
(+ (* (neg (* (* n0_i normAngle) (/ 1 (tan normAngle)))) u) (* (* n1_i (/ normAngle (sin normAngle))) u))
5.0ms
n0_i
@0
(neg (* n0_i -1/3))

rewrite228.0ms (1.3%)

Memory
7.1MiB live, 203.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
608×prod-diff
533×log1p-expm1-u
533×expm1-log1p-u
518×add-exp-log
492×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0631033
111831005
Stop Event
1×node limit
Counts
27 → 568
Calls
Call 1
Inputs
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
(/.f32 normAngle (sin.f32 normAngle))
(neg.f32 (*.f32 n0_i #s(literal -1/3 binary32)))
(-.f32 n1_i n0_i)
(*.f32 n0_i #s(literal -1/3 binary32))
(+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i))
(*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))
(*.f32 #s(literal -1 binary32) n0_i)
(+.f32 (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u))
(*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u)
(neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))
(*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))
(*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(/.f32 n1_i (sin.f32 normAngle))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(/.f32 normAngle (tan.f32 normAngle))
(*.f32 n1_i #s(literal 1/6 binary32))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))))
(*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))))
(-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))
(+.f32 n0_i (+.f32 (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u)))
(*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)))))) #s(literal 1 binary32))
(pow.f32 (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)))) u))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)))))))
(cbrt.f32 (pow.f32 (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle))))))
(log1p.f32 (expm1.f32 (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle))))))
(exp.f32 (log.f32 (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle))))))
(exp.f32 (*.f32 (log.f32 (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle))))) #s(literal 1 binary32)))
(+.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle))))
(+.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (*.f32 (neg.f32 n0_i) (/.f32 normAngle (tan.f32 normAngle))))
(+.f32 (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle))) (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle))))
(+.f32 (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle))) (fma.f32 (neg.f32 n0_i) (/.f32 normAngle (tan.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle))))
(+.f32 (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) (*.f32 normAngle n0_i) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle))))
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(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i)))
(exp.f32 (log.f32 (fma.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i)) #s(literal 1 binary32)))
(fma.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.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 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(fma.f32 (sqrt.f32 (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))) (sqrt.f32 (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) #s(literal 1 binary32))
(/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))
(pow.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) n0_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)) (sqrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))))
(pow.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)))
(exp.f32 (log.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)) #s(literal 1 binary32)))
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))))
(fma.f32 #s(literal 1 binary32) (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))) n0_i)
(fma.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) (*.f32 u normAngle) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))))
(fma.f32 (sqrt.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))) (sqrt.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))))

simplify708.0ms (4%)

Memory
15.4MiB live, 991.0MiB allocated
Algorithm
1×egg-herbie
Rules
952×*-commutative
698×sub-neg
688×+-commutative
660×fmm-def
656×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0188984437
1527483018
Stop Event
1×node limit
Counts
1 320 → 1 006
Calls
Call 1
Inputs
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 #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 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))
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(/.f32 (-.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) normAngle)
(/.f32 (-.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) normAngle)
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(/.f32 (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))) normAngle)
(/.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 #s(literal -1/6 binary32) n1_i)))) normAngle)
(/.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)
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(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.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 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(fma.f32 (sqrt.f32 (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))) (sqrt.f32 (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) #s(literal 1 binary32))
(/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))
(pow.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) n0_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)) (sqrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))))
(pow.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)))
(exp.f32 (log.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)) #s(literal 1 binary32)))
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))))
(fma.f32 #s(literal 1 binary32) (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))) n0_i)
(fma.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) (*.f32 u normAngle) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))))
(fma.f32 (sqrt.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))) (sqrt.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))))
Outputs
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 normAngle n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(-.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(-.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(-.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(-.f32 (*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(*.f32 n1_i (-.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) (*.f32 (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(*.f32 n1_i (-.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) (*.f32 (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(*.f32 n1_i (-.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) (*.f32 (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(*.f32 n1_i (-.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) (*.f32 (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(neg.f32 (*.f32 n1_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) (*.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))))
(*.f32 n1_i (neg.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i n1_i)) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(neg.f32 (*.f32 n1_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) (*.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))))
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(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))))
(pow.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i) #s(literal 1 binary32))
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(pow.f32 (cbrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)) #s(literal 3 binary32))
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(pow.f32 (pow.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(pow.f32 (sqrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)) #s(literal 2 binary32))
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(log.f32 (exp.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)))
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i))))
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(cbrt.f32 (pow.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i) #s(literal 3 binary32)))
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(expm1.f32 (log1p.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)))
(expm1.f32 (log1p.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)))
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(exp.f32 (log.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)))
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(exp.f32 (*.f32 (log.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)) #s(literal 1 binary32)))
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))))
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(fma.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) (*.f32 u normAngle) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))))
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))
(fma.f32 (sqrt.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))) (sqrt.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))))
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))

eval147.0ms (0.8%)

Memory
20.9MiB live, 323.7MiB allocated
Compiler

Compiled 37 700 to 5 868 computations (84.4% saved)

prune202.0ms (1.1%)

Memory
-25.1MiB live, 455.9MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1 141141 155
Fresh527
Picked505
Done011
Total1 151171 168
Accuracy
100.0%
Counts
1 168 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.7%
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle) n0_i)
▶99.5%
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
✓69.8%
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
69.6%
(/.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))))
98.8%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (+.f32 (-.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32)))))))))
98.9%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))))))
79.6%
(+.f32 n0_i (-.f32 (/.f32 (*.f32 u (*.f32 n1_i normAngle)) (sin.f32 normAngle)) (*.f32 u (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)))))
▶99.0%
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
97.3%
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (/.f32 (-.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) normAngle)))
97.6%
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))
86.0%
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)))))
99.4%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (/.f32 (tan.f32 normAngle) normAngle))))))
▶99.2%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
▶99.0%
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
99.0%
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))))
98.8%
(+.f32 n0_i (*.f32 n0_i (neg.f32 (-.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32)))) (*.f32 u (/.f32 (+.f32 n1_i (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1/6 binary32)))) n0_i))))))
69.6%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) (neg.f32 u))) (-.f32 #s(literal 1 binary32) (neg.f32 u))) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
Compiler

Compiled 858 to 555 computations (35.3% saved)

simplify71.0ms (0.4%)

Memory
30.5MiB live, 69.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 normAngle)
cost-diff0
(/.f32 n1_i (sin.f32 normAngle))
✓cost-diff0
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))
✓cost-diff0
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle) n0_i)
✓cost-diff64
(*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓cost-diff64
(*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
✓cost-diff128
(-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
✓cost-diff128
(*.f32 u (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
cost-diff0
(pow.f32 normAngle #s(literal 2 binary32))
cost-diff0
(*.f32 n1_i u)
✓cost-diff0
(*.f32 n0_i u)
✓cost-diff32
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
cost-diff0
(*.f32 n1_i #s(literal 1/6 binary32))
cost-diff0
(*.f32 n0_i #s(literal -1/3 binary32))
cost-diff0
(-.f32 n1_i n0_i)
cost-diff32
(neg.f32 (*.f32 n0_i #s(literal -1/3 binary32)))
cost-diff0
(/.f32 n1_i (sin.f32 normAngle))
✓cost-diff0
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))
✓cost-diff0
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))
✓cost-diff0
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
Rules
1 958×fma-define
1 210×unsub-neg
1 178×fmm-def
756×distribute-lft-in
630×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0581486
11461385
24431364
315431355
440301355
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
u
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))
normAngle
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
(/.f32 n0_i (tan.f32 normAngle))
n0_i
(tan.f32 normAngle)
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
n0_i
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))))
u
(+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))
(-.f32 n1_i n0_i)
n1_i
(*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 normAngle normAngle)
normAngle
(+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))
(neg.f32 (*.f32 n0_i #s(literal -1/3 binary32)))
(*.f32 n0_i #s(literal -1/3 binary32))
#s(literal -1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
n0_i
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
#s(literal -1 binary32)
(*.f32 n0_i u)
u
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))
(*.f32 n1_i u)
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))
(*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))
#s(literal 1/3 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))
#s(literal -1/6 binary32)
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
u
(-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
(*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
n1_i
(*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
(*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))
(/.f32 normAngle (tan.f32 normAngle))
(tan.f32 normAngle)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle) n0_i)
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
normAngle
(/.f32 n0_i (tan.f32 normAngle))
n0_i
(tan.f32 normAngle)
(*.f32 u normAngle)
u
Outputs
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle) n0_i)
u
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))
normAngle
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
(/.f32 n0_i (tan.f32 normAngle))
n0_i
(tan.f32 normAngle)
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 2 binary32))))))
(fma.f32 u (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (-.f32 (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 2 binary32)) n1_i) n0_i) n0_i)
(fma.f32 u (-.f32 n1_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32))) n0_i)) n0_i)
n0_i
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 2 binary32)))))
(*.f32 u (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 n1_i n0_i)))
(*.f32 u (-.f32 (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 2 binary32)) n1_i) n0_i))
(*.f32 u (-.f32 n1_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32))) n0_i)))
u
(+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))
(+.f32 (-.f32 n1_i n0_i) (*.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 2 binary32))))
(fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 n1_i n0_i))
(-.f32 (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 2 binary32)) n1_i) n0_i)
(-.f32 n1_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32))) n0_i))
(-.f32 n1_i n0_i)
n1_i
(*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 2 binary32)))
(*.f32 normAngle normAngle)
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
(+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))
(+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(neg.f32 (*.f32 n0_i #s(literal -1/3 binary32)))
(*.f32 n0_i #s(literal 1/3 binary32))
(*.f32 n0_i #s(literal -1/3 binary32))
#s(literal -1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 2 binary32))))))
(fma.f32 u (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (-.f32 (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 2 binary32)) n1_i) n0_i) n0_i)
(fma.f32 u (-.f32 n1_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32))) n0_i)) n0_i)
n0_i
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 2 binary32)))))
(*.f32 u (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 n1_i n0_i)))
(*.f32 u (-.f32 (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 2 binary32)) n1_i) n0_i))
(*.f32 u (-.f32 n1_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32))) n0_i)))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(neg.f32 (*.f32 u n0_i))
(*.f32 u (neg.f32 n0_i))
(*.f32 n0_i (neg.f32 u))
#s(literal -1 binary32)
(*.f32 n0_i u)
(*.f32 u n0_i)
u
(+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_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)) (fma.f32 #s(literal 1/3 binary32) (*.f32 u n0_i) (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) u)))))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 u (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 2 binary32)))))
(*.f32 u (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (pow.f32 normAngle #s(literal 2 binary32)) n1_i))
(*.f32 u (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 2 binary32)) n1_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
n1_i
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal 1/3 binary32) (*.f32 u n0_i) (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) u))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))))
(*.f32 u (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 2 binary32))))
(*.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (pow.f32 normAngle #s(literal 2 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))
(fma.f32 #s(literal 1/3 binary32) (*.f32 u n0_i) (neg.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) u)))
(*.f32 u (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))))
(*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))
(*.f32 (*.f32 u n0_i) #s(literal 1/3 binary32))
(*.f32 n0_i (*.f32 u #s(literal 1/3 binary32)))
(*.f32 u (*.f32 n0_i #s(literal 1/3 binary32)))
#s(literal 1/3 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))
(*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) u)
(*.f32 n1_i (*.f32 u #s(literal -1/6 binary32)))
(*.f32 u (*.f32 n1_i #s(literal -1/6 binary32)))
#s(literal -1/6 binary32)
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle) n0_i)
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(*.f32 u (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (neg.f32 (*.f32 normAngle n0_i)) (tan.f32 normAngle))))
(*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))
(*.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle))
u
(-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))
(*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))
n1_i
(*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
(*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))
(/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))
(/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle))
(*.f32 normAngle (/.f32 n0_i (tan.f32 normAngle)))
(/.f32 normAngle (tan.f32 normAngle))
(tan.f32 normAngle)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
normAngle
(/.f32 n0_i (tan.f32 normAngle))
n0_i
(tan.f32 normAngle)
(*.f32 u normAngle)
u

localize228.0ms (1.3%)

Memory
-14.3MiB live, 378.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f32 n0_i (tan.f32 normAngle))
accuracy99.9%
(/.f32 n1_i (sin.f32 normAngle))
✓accuracy99.6%
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))
✓accuracy98.0%
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle) n0_i)
✓accuracy99.8%
(*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
✓accuracy99.7%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
✓accuracy99.6%
(*.f32 u (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
✓accuracy99.5%
(*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy99.7%
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
✓accuracy99.6%
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))
✓accuracy99.1%
(*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))
✓accuracy98.8%
(*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))
✓accuracy99.6%
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))))
✓accuracy99.6%
(*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))
accuracy99.0%
(*.f32 n0_i #s(literal -1/3 binary32))
accuracy98.8%
(*.f32 n1_i #s(literal 1/6 binary32))
accuracy99.9%
(/.f32 n1_i (sin.f32 normAngle))
✓accuracy99.9%
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
✓accuracy99.6%
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))
✓accuracy99.5%
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))
Samples
98.0ms250×0valid
8.0ms4×5exit
1.0ms2×1valid
Compiler

Compiled 407 to 53 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-mult: 31.0ms (38.5% of total)
...in/eval/compile.rkt:77:19: 15.0ms (18.6% of total)
ival-add: 11.0ms (13.7% of total)
ival-div: 7.0ms (8.7% of total)
ival-sub: 6.0ms (7.5% of total)
ival-pow2: 3.0ms (3.7% of total)
ival-sin: 3.0ms (3.7% of total)
ival-tan: 2.0ms (2.5% of total)
adjust: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series94.0ms (0.5%)

Memory
-0.2MiB live, 162.5MiB allocated
Counts
18 → 532
Calls
Call 1
Inputs
#<alt (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)>
#<alt (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))>
#<alt (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))>
#<alt (*.f32 n0_i u)>
#<alt (*.f32 u (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))>
#<alt (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))>
#<alt (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))>
#<alt (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle) n0_i)>
#<alt (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))>
#<alt (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))>
#<alt (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))>
#<alt (+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))>
#<alt (/.f32 n0_i (tan.f32 normAngle))>
Outputs
#<alt (+.f32 n0_i (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))>
#<alt (+.f32 n0_i (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))>
#<alt (+.f32 n0_i (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))>
#<alt (+.f32 n0_i (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))>
#<alt (*.f32 u (+.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i u)))>
#<alt (*.f32 u (+.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i u)))>
#<alt (*.f32 u (+.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i u)))>
#<alt (*.f32 u (+.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i u)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.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 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.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 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.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 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.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 n0_i u)))))>
#<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 1/3 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 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))))))))>
#<alt (+.f32 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 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -2/45 binary32) n0_i) (*.f32 #s(literal 17/315 binary32) n0_i))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))))))))))))>
#<alt (+.f32 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 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -2/45 binary32) n0_i) (*.f32 #s(literal 17/315 binary32) n0_i))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -2/45 binary32) n0_i) (*.f32 #s(literal 17/315 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -2/15 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -17/945 binary32) n0_i) (*.f32 #s(literal 62/2835 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -1/120 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))) (+.f32 (*.f32 #s(literal -1/30240 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/362880 binary32) n1_i) (*.f32 #s(literal 1/6 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))))))))))))))))))))>
#<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 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 (*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i 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 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 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 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 #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 #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 (*.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 (*.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 (*.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 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 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 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 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i)>
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#<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 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -2/45 binary32) n0_i) (*.f32 #s(literal 17/315 binary32) n0_i))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -2/45 binary32) n0_i) (*.f32 #s(literal 17/315 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -2/15 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -17/945 binary32) n0_i) (*.f32 #s(literal 62/2835 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -1/120 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))) (+.f32 (*.f32 #s(literal -1/30240 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/362880 binary32) n1_i) (*.f32 #s(literal 1/6 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))))))))))))))))))))>
#<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 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 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))))>
#<alt (*.f32 #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 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (+.f32 n0_i (*.f32 #s(literal -1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))))) normAngle)>
#<alt (/.f32 (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i)))) (*.f32 #s(literal 1/3 binary32) n0_i)))) normAngle)>
#<alt (/.f32 (+.f32 n0_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 -1/3 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -2/45 binary32) n0_i) (*.f32 #s(literal 17/315 binary32) n0_i))))) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i)))) (*.f32 #s(literal 1/3 binary32) n0_i)))) normAngle)>
#<alt (/.f32 (+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.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 -1/3 binary32) (+.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -2/45 binary32) n0_i) (*.f32 #s(literal 17/315 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -2/15 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -17/945 binary32) n0_i) (*.f32 #s(literal 62/2835 binary32) n0_i)))))) (+.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -2/45 binary32) n0_i) (*.f32 #s(literal 17/315 binary32) n0_i))))) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i)))) (*.f32 #s(literal 1/3 binary32) n0_i)))) normAngle)>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))>
Calls

159 calls:

TimeVariablePointExpression
6.0ms
n1_i
@-inf
(+ (* -1 (* n0_i u)) (+ (* n1_i u) (* (pow normAngle 2) (- (* 1/3 (* n0_i u)) (* -1/6 (* n1_i u))))))
3.0ms
normAngle
@inf
(* normAngle (- (/ n1_i (sin normAngle)) (/ n0_i (tan normAngle))))
2.0ms
normAngle
@0
(+ (* (- (/ n1_i (sin normAngle)) (/ n0_i (tan normAngle))) (* u normAngle)) n0_i)
2.0ms
normAngle
@inf
(+ (* -1 (* n0_i u)) (+ (* n1_i u) (* (pow normAngle 2) (- (* 1/3 (* n0_i u)) (* -1/6 (* n1_i u))))))
1.0ms
normAngle
@0
(+ (* u (* normAngle (- (/ n1_i (sin normAngle)) (/ n0_i (tan normAngle))))) n0_i)

rewrite176.0ms (1%)

Memory
18.5MiB live, 212.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
483×log1p-expm1-u
483×expm1-log1p-u
482×prod-diff
467×add-exp-log
467×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057837
11022813
Stop Event
1×node limit
Counts
18 → 345
Calls
Call 1
Inputs
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u))
(*.f32 n0_i u)
(*.f32 u (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))
(-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
(*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle) n0_i)
(*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))))
(*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))
(*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(/.f32 n0_i (tan.f32 normAngle))
Outputs
(+.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) n0_i)
(-.f32 (exp.f32 (log1p.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)) (sqrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)))
(pow.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)))
(exp.f32 (log.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))) #s(literal 1 binary32))
(pow.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))))
(cbrt.f32 (pow.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))))
(log1p.f32 (expm1.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))))
(exp.f32 (log.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))))
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) #s(literal 1 binary32)))
(+.f32 (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 (/.f32 n0_i (tan.f32 normAngle))))
(+.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 n0_i (tan.f32 normAngle)))) (sqrt.f32 (/.f32 n0_i (tan.f32 normAngle))) (/.f32 n0_i (tan.f32 normAngle))))
(+.f32 (fma.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) n0_i))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) n0_i (*.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) n0_i)))
(+.f32 (fma.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (neg.f32 (*.f32 (/.f32 n0_i (tan.f32 normAngle)) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (/.f32 n0_i (tan.f32 normAngle))) #s(literal 1 binary32) (*.f32 (/.f32 n0_i (tan.f32 normAngle)) #s(literal 1 binary32))))
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(pow.f32 (cbrt.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))) #s(literal 2 binary32))
(log.f32 (exp.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i)))))))
(cbrt.f32 (pow.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))))
(log1p.f32 (expm1.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))))
(exp.f32 (log.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))))
(exp.f32 (*.f32 (log.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))
(fma.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i)))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i)))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))
(fma.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i)))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)) (sqrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))))
(pow.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(exp.f32 (log.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)) #s(literal 1 binary32)))
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(fma.f32 #s(literal 1 binary32) (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) n0_i)
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) u n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(fma.f32 (sqrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))) (sqrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 n0_i (tan.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 n0_i (tan.f32 normAngle)))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 n0_i (tan.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 n0_i (tan.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 n0_i (tan.f32 normAngle))) (sqrt.f32 (/.f32 n0_i (tan.f32 normAngle))))
(pow.f32 (/.f32 n0_i (tan.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 n0_i (tan.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 n0_i (tan.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 n0_i (tan.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (tan.f32 normAngle) n0_i) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 n0_i (tan.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 n0_i (tan.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 n0_i (tan.f32 normAngle)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 n0_i (tan.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 n0_i (tan.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 n0_i (tan.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 n0_i (tan.f32 normAngle))) #s(literal 1 binary32)))

simplify659.0ms (3.7%)

Memory
3.1MiB live, 830.7MiB allocated
Algorithm
1×egg-herbie
Rules
984×distribute-lft-in
960×distribute-rgt-in
610×*-commutative
518×associate-+r+
494×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0123467205
1335863863
Stop Event
1×node limit
Counts
877 → 679
Calls
Call 1
Inputs
(+.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 n0_i (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))
(+.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 n0_i (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))
(*.f32 u (+.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i u)))
(*.f32 u (+.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i u)))
(*.f32 u (+.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i u)))
(*.f32 u (+.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i u)))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.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 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.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 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.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 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.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 n0_i u)))))
(+.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 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
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(pow.f32 (sqrt.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))) #s(literal 2 binary32))
(log.f32 (exp.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i)))))))
(cbrt.f32 (pow.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))))
(log1p.f32 (expm1.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))))
(exp.f32 (log.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))))
(exp.f32 (*.f32 (log.f32 (+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) n0_i (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))
(fma.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i)))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i)))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))
(fma.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i)))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (fma.f32 #s(literal -1 binary32) (*.f32 u n0_i) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (*.f32 u n0_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))) (*.f32 u n1_i))))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)) (sqrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))))
(pow.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(exp.f32 (log.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)) #s(literal 1 binary32)))
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(fma.f32 #s(literal 1 binary32) (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) n0_i)
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) u n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(fma.f32 (sqrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))) (sqrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 n0_i (tan.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 n0_i (tan.f32 normAngle)))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 n0_i (tan.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 n0_i (tan.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 n0_i (tan.f32 normAngle))) (sqrt.f32 (/.f32 n0_i (tan.f32 normAngle))))
(pow.f32 (/.f32 n0_i (tan.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 n0_i (tan.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 n0_i (tan.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 n0_i (tan.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (tan.f32 normAngle) n0_i) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 n0_i (tan.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 n0_i (tan.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 n0_i (tan.f32 normAngle)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 n0_i (tan.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 n0_i (tan.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 n0_i (tan.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 n0_i (tan.f32 normAngle))) #s(literal 1 binary32)))
Outputs
(+.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 n0_i (*.f32 (*.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))
(+.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 n0_i (*.f32 (*.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))
(+.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 n0_i (*.f32 (*.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))
(+.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 n0_i (*.f32 (*.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (+.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i u)))
(*.f32 u (fma.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n0_i u)))
(*.f32 u (+.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i u)))
(*.f32 u (fma.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n0_i u)))
(*.f32 u (+.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i u)))
(*.f32 u (fma.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n0_i u)))
(*.f32 u (+.f32 (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i u)))
(*.f32 u (fma.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n0_i u)))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.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 n0_i u)))))
(*.f32 (neg.f32 u) (*.f32 #s(literal -1 binary32) (fma.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n0_i u))))
(*.f32 u (neg.f32 (neg.f32 (fma.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.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 n0_i u)))))
(*.f32 (neg.f32 u) (*.f32 #s(literal -1 binary32) (fma.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n0_i u))))
(*.f32 u (neg.f32 (neg.f32 (fma.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.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 n0_i u)))))
(*.f32 (neg.f32 u) (*.f32 #s(literal -1 binary32) (fma.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n0_i u))))
(*.f32 u (neg.f32 (neg.f32 (fma.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.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 n0_i u)))))
(*.f32 (neg.f32 u) (*.f32 #s(literal -1 binary32) (fma.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n0_i u))))
(*.f32 u (neg.f32 (neg.f32 (fma.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 n0_i u)))))
(+.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 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (*.f32 u (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))))))))
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(/.f32 (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 n0_i #s(literal 1/45 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 n0_i #s(literal 1/45 binary32)) (*.f32 n0_i #s(literal 1/105 binary32))) (fma.f32 #s(literal -1/5040 binary32) n1_i (fma.f32 #s(literal 1/720 binary32) n1_i (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 binary32))))))) (*.f32 n1_i #s(literal -7/360 binary32))))) (*.f32 n1_i #s(literal 1/6 binary32))))) n0_i) normAngle)
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(+.f32 n0_i (*.f32 u (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i))))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)))
(*.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i))
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(*.f32 (sqrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)) (sqrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i u) (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (*.f32 (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) (-.f32 (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) n0_i))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))))))
(pow.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i) #s(literal 1 binary32))
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(pow.f32 (cbrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)) #s(literal 3 binary32))
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(pow.f32 (pow.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(pow.f32 (sqrt.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)) #s(literal 2 binary32))
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(log.f32 (exp.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i))))
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(cbrt.f32 (pow.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i) #s(literal 3 binary32)))
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(expm1.f32 (log1p.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(expm1.f32 (log1p.f32 (fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(exp.f32 (log.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)))
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(exp.f32 (*.f32 (log.f32 (fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)) #s(literal 1 binary32)))
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) n0_i)
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(fma.f32 #s(literal 1 binary32) (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) n0_i)
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) u n0_i)
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))) n0_i)
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(fma.f32 (sqrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))) (sqrt.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))) n0_i)
(fma.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 n0_i (tan.f32 normAngle)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (/.f32 n0_i (tan.f32 normAngle))))
(*.f32 n0_i (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))
(/.f32 n0_i (tan.f32 normAngle))
(*.f32 #s(literal 1 binary32) (/.f32 n0_i (tan.f32 normAngle)))
(/.f32 n0_i (tan.f32 normAngle))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 n0_i (tan.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 n0_i (tan.f32 normAngle))))
(*.f32 (cbrt.f32 (/.f32 n0_i (tan.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 n0_i (tan.f32 normAngle)) #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (/.f32 n0_i (tan.f32 normAngle))) (sqrt.f32 (/.f32 n0_i (tan.f32 normAngle))))
(/.f32 n0_i (tan.f32 normAngle))
(pow.f32 (/.f32 n0_i (tan.f32 normAngle)) #s(literal 1 binary32))
(/.f32 n0_i (tan.f32 normAngle))
(pow.f32 (cbrt.f32 (/.f32 n0_i (tan.f32 normAngle))) #s(literal 3 binary32))
(/.f32 n0_i (tan.f32 normAngle))
(pow.f32 (pow.f32 (/.f32 n0_i (tan.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 n0_i (tan.f32 normAngle))
(pow.f32 (sqrt.f32 (/.f32 n0_i (tan.f32 normAngle))) #s(literal 2 binary32))
(/.f32 n0_i (tan.f32 normAngle))
(pow.f32 (/.f32 (tan.f32 normAngle) n0_i) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (tan.f32 normAngle) n0_i))
(log.f32 (exp.f32 (/.f32 n0_i (tan.f32 normAngle))))
(/.f32 n0_i (tan.f32 normAngle))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 n0_i (tan.f32 normAngle)))))
(/.f32 n0_i (tan.f32 normAngle))
(cbrt.f32 (pow.f32 (/.f32 n0_i (tan.f32 normAngle)) #s(literal 3 binary32)))
(/.f32 n0_i (tan.f32 normAngle))
(expm1.f32 (log1p.f32 (/.f32 n0_i (tan.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 n0_i (tan.f32 normAngle))))
(/.f32 n0_i (tan.f32 normAngle))
(exp.f32 (log.f32 (/.f32 n0_i (tan.f32 normAngle))))
(/.f32 n0_i (tan.f32 normAngle))
(exp.f32 (*.f32 (log.f32 (/.f32 n0_i (tan.f32 normAngle))) #s(literal 1 binary32)))
(/.f32 n0_i (tan.f32 normAngle))

eval164.0ms (0.9%)

Memory
15.7MiB live, 216.4MiB allocated
Compiler

Compiled 31 259 to 4 665 computations (85.1% saved)

prune341.0ms (1.9%)

Memory
-11.1MiB live, 381.1MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1 09481 102
Fresh6511
Picked505
Done011
Total1 105141 119
Accuracy
100.0%
Counts
1 119 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.4%
(fma.f32 (/.f32 (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i) normAngle) (*.f32 u normAngle) n0_i)
99.3%
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i) n0_i)
✓69.8%
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
69.6%
(/.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))))
97.6%
(+.f32 (*.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle)) n0_i)
99.3%
(+.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) n0_i)
98.8%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (+.f32 (-.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32)))))))))
98.9%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))))))
99.0%
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
97.3%
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (/.f32 (-.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) normAngle)))
99.0%
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))))
99.0%
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 n1_i (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
69.6%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) (neg.f32 u))) (-.f32 #s(literal 1 binary32) (neg.f32 u))) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
98.4%
(*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (/.f32 n0_i u)))))
Compiler

Compiled 1 550 to 557 computations (64.1% saved)

regimes83.0ms (0.5%)

Memory
5.6MiB live, 157.4MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 n1_i (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i 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 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (/.f32 n0_i u)))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (/.f32 (-.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) normAngle)))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i 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 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_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 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (+.f32 (-.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32)))))))))
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))
(+.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) n0_i)
(+.f32 (*.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle)) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 (neg.f32 n0_i) (/.f32 normAngle (tan.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (/.f32 (tan.f32 normAngle) normAngle))))))
(+.f32 n0_i (-.f32 (/.f32 (*.f32 u (*.f32 n1_i normAngle)) (sin.f32 normAngle)) (*.f32 u (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)))))
(+.f32 n0_i (+.f32 (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u)))
(fma.f32 (/.f32 (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i) normAngle) (*.f32 u normAngle) n0_i)
(+.f32 n0_i (*.f32 n0_i (neg.f32 (-.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32)))) (*.f32 u (/.f32 (+.f32 n1_i (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1/6 binary32)))) n0_i))))))
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle) n0_i)
(+.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 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (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))
(fma.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u n0_i)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
(/.f32 (*.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 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (+.f32 normAngle (*.f32 (neg.f32 u) normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) (neg.f32 u))) (-.f32 #s(literal 1 binary32) (neg.f32 u))) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))))
(+.f32 (*.f32 n0_i (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.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 (*.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 n0_i (+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.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 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 (*.f32 (sin.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) (neg.f32 u))) (-.f32 #s(literal 1 binary32) (neg.f32 u))) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (/.f32 (*.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)))
(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)))))))
Outputs
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
Calls

5 calls:

20.0ms
n0_i
15.0ms
u
15.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
13.0ms
n1_i
13.0ms
normAngle
Results
AccuracySegmentsBranch
99.5%1normAngle
99.5%1u
99.5%1n0_i
99.5%1n1_i
99.5%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes54.0ms (0.3%)

Memory
-24.6MiB live, 85.7MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 n1_i (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i 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 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (/.f32 n0_i u)))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (/.f32 (-.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) normAngle)))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i 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 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_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 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (+.f32 (-.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32)))))))))
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))
(+.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) n0_i)
(+.f32 (*.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle)) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 (neg.f32 n0_i) (/.f32 normAngle (tan.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (/.f32 (tan.f32 normAngle) normAngle))))))
(+.f32 n0_i (-.f32 (/.f32 (*.f32 u (*.f32 n1_i normAngle)) (sin.f32 normAngle)) (*.f32 u (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)))))
(+.f32 n0_i (+.f32 (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) u) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) u)))
(fma.f32 (/.f32 (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i) normAngle) (*.f32 u normAngle) n0_i)
(+.f32 n0_i (*.f32 n0_i (neg.f32 (-.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32)))) (*.f32 u (/.f32 (+.f32 n1_i (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1/6 binary32)))) n0_i))))))
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (/.f32 (tan.f32 normAngle) normAngle))))))
Calls

4 calls:

27.0ms
normAngle
8.0ms
n0_i
7.0ms
n1_i
7.0ms
u
Results
AccuracySegmentsBranch
99.4%1normAngle
99.4%1u
99.4%1n0_i
99.4%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes30.0ms (0.2%)

Memory
-5.6MiB live, 71.2MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 n1_i (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i 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 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (/.f32 n0_i u)))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (/.f32 (-.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) normAngle)))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i 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 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_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 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (+.f32 (-.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32)))))))))
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))
(+.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) n0_i)
(+.f32 (*.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle)) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 (neg.f32 n0_i) (/.f32 normAngle (tan.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(fma.f32 u (-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
Calls

4 calls:

8.0ms
n0_i
6.0ms
u
6.0ms
n1_i
6.0ms
normAngle
Results
AccuracySegmentsBranch
99.4%1normAngle
99.4%1u
99.4%1n0_i
99.4%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes23.0ms (0.1%)

Memory
22.4MiB live, 61.1MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 n1_i (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i 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 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (/.f32 n0_i u)))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (/.f32 (-.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) normAngle)))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i 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 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_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 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (+.f32 (-.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32)))))))))
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))
(+.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) n0_i)
(+.f32 (*.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) (*.f32 u normAngle)) n0_i)
Outputs
(+.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) n0_i)
Calls

4 calls:

6.0ms
u
5.0ms
n0_i
5.0ms
n1_i
5.0ms
normAngle
Results
AccuracySegmentsBranch
99.3%1normAngle
99.3%1u
99.3%1n0_i
99.3%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes21.0ms (0.1%)

Memory
9.3MiB live, 50.5MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 n1_i (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i 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 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (neg.f32 (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (/.f32 n0_i u)))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))))))
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (/.f32 (-.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) normAngle)))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i 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 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_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 u (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (+.f32 (-.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32)))))))))
(+.f32 n0_i (*.f32 (*.f32 u normAngle) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))
Outputs
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
Calls

4 calls:

7.0ms
n1_i
4.0ms
n0_i
4.0ms
normAngle
4.0ms
u
Results
AccuracySegmentsBranch
99.0%1normAngle
99.0%1u
99.0%1n0_i
99.0%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes8.0ms (0%)

Memory
-16.4MiB live, 22.5MiB allocated
Accuracy

Total -0.0b remaining (-3.6%)

Threshold costs -0b (-3.6%)

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

4 calls:

3.0ms
n0_i
2.0ms
normAngle
2.0ms
n1_i
2.0ms
u
Results
AccuracySegmentsBranch
99.0%1normAngle
99.0%1u
99.0%1n1_i
99.0%1n0_i
Compiler

Compiled 20 to 16 computations (20% saved)

simplify12.0ms (0.1%)

Memory
-12.1MiB live, 26.8MiB allocated
Algorithm
1×egg-herbie
Rules
64×*-commutative
58×+-commutative
42×sub-neg
32×neg-sub0
30×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059473
1108469
2150469
3185469
4212469
5227469
6230469
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (/.f32 (tan.f32 normAngle) normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(+.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) n0_i)
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))))
Outputs
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (/.f32 (tan.f32 normAngle) normAngle))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 #s(literal -1 binary32) (/.f32 (tan.f32 normAngle) normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))))
(+.f32 (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) n0_i)
(+.f32 n0_i (*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))))
(+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) (+.f32 (*.f32 n1_i u) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
(+.f32 n0_i (+.f32 (neg.f32 (*.f32 u n0_i)) (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 u n0_i) #s(literal 1/3 binary32)) (*.f32 (*.f32 u n1_i) #s(literal -1/6 binary32)))))))
(+.f32 n0_i (-.f32 (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 u n0_i) #s(literal 1/3 binary32)) (*.f32 (*.f32 u n1_i) #s(literal -1/6 binary32))))) (*.f32 u n0_i)))
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))))

soundness3.2s (18.2%)

Memory
49.3MiB live, 3 310.2MiB allocated
Rules
1 270×*-commutative
1 190×*-commutative
952×*-commutative
870×+-commutative
808×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057837
11022813
0191293057
1586991373
01960135718
15534134980
0661154
113011075
0188984437
1527483018
0631033
111831005
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1 371 to 470 computations (65.7% saved)

preprocess39.0ms (0.2%)

Memory
-18.5MiB live, 99.0MiB allocated
Remove

(abs normAngle)

Compiler

Compiled 428 to 218 computations (49.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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