Curve intersection, scale width based on ribbon orientation

Time bar (total: 15.4s)

analyze623.0ms (4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.8%99.2%0%0%0%0
0%0%0.8%99.2%0%0%0%1
0%0%0.8%99.2%0%0%0%2
0%0%0.8%99.2%0%0%0%3
0%0%0.8%99.2%0%0%0%4
0%0%0.8%99.2%0%0%0%5
16.7%0.1%0.5%99.4%0%0%0%6
25%0.1%0.4%99.4%0%0%0%7
25%0.1%0.4%99.4%0%0%0%8
25%0.1%0.4%99.4%0%0%0%9
45%0.2%0.3%99.5%0%0%0%10
52.5%0.3%0.2%99.5%0%0%0%11
52.5%0.3%0.2%99.5%0%0%0%12
Compiler

Compiled 62 to 38 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 471.0ms
ival-mult: 183.0ms (38.8% of total)
ival-sin: 91.0ms (19.3% of total)
ival-add: 62.0ms (13.2% of total)
ival-<=: 45.0ms (9.5% of total)
...c/correct-round.rkt:121:19: 30.0ms (6.4% of total)
ival-div: 18.0ms (3.8% of total)
ival-sub: 15.0ms (3.2% of total)
ival-pi: 12.0ms (2.5% of total)
ival-and: 11.0ms (2.3% of total)
const: 3.0ms (0.6% of total)
backward-pass: 1.0ms (0.2% of total)

sample5.0s (32.1%)

Results
3.0s8256×0valid
795.0ms1993×0precondition
Precisions
Click to see histograms. Total time spent on operations: 3.0s
ival-<=: 737.0ms (24.3% of total)
ival-mult: 729.0ms (24% of total)
ival-sin: 612.0ms (20.2% of total)
...c/correct-round.rkt:121:19: 400.0ms (13.2% of total)
ival-div: 236.0ms (7.8% of total)
ival-sub: 105.0ms (3.5% of total)
ival-and: 76.0ms (2.5% of total)
ival-add: 59.0ms (1.9% of total)
ival-pi: 52.0ms (1.7% of total)
const: 25.0ms (0.8% of total)
backward-pass: 5.0ms (0.2% of total)
Bogosity

preprocess182.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1510×fma-neg
1090×fma-define
1012×times-frac
940×unsub-neg
632×distribute-lft-neg-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01151608
13041396
28281320
324121170
445951170
577891170
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u)) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n1_i)))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n1_i)))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u)) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n1_i))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) normAngle) u)) (/.f32 #s(literal 1 binary32) (sin.f32 u))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 #s(literal 1 binary32) (sin.f32 u))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n0_i))) normAngle) (*.f32 (*.f32 (sin.f32 (*.f32 u n0_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n0_i))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n1_i))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u n1_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n1_i))) normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) n0_i) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) u) (*.f32 (*.f32 (sin.f32 (*.f32 n0_i normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) n1_i) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 n1_i normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) u))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i))
Outputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u)) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (neg.f32 u))))) n0_i (*.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u)))) (*.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 n1_i))))
(/.f32 (-.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (/.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (neg.f32 n0_i)) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))))))
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))))) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n1_i)))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (neg.f32 n1_i))))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32))))))) (sin.f32 normAngle))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) n1_i)))
(neg.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 normAngle))) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)))) n0_i (*.f32 n1_i (/.f32 (*.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) #s(literal 1 binary32)) (neg.f32 (sin.f32 normAngle))))))
(neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 normAngle))) (neg.f32 (sin.f32 normAngle))) (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i)))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))
(neg.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 n1_i))) (sin.f32 normAngle))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u)) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)))
(neg.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (neg.f32 u))))) n0_i (*.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))))
(-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))))))
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle)))) (sin.f32 normAngle))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (neg.f32 n1_i))))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32))))))) (sin.f32 normAngle))
(neg.f32 (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n1_i))))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (/.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (neg.f32 n0_i)) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))))))
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 u #s(literal -1 binary32)))))) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) normAngle) u)) (/.f32 #s(literal 1 binary32) (sin.f32 u))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 #s(literal 1 binary32) (sin.f32 u))) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 u (-.f32 #s(literal 1 binary32) normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 u))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 u)) n1_i)))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 u (-.f32 #s(literal 1 binary32) normAngle))) (sin.f32 u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 u))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 u)) (+.f32 (*.f32 n0_i (sin.f32 (*.f32 u (-.f32 #s(literal 1 binary32) normAngle)))) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 u (-.f32 #s(literal 1 binary32) normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 u))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n0_i))) normAngle) (*.f32 (*.f32 (sin.f32 (*.f32 u n0_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n0_i))) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n0_i))) normAngle (*.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 n0_i)) (sin.f32 (*.f32 u n0_i)))))
(fma.f32 normAngle (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (sin.f32 n0_i)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u n0_i)) (sin.f32 n0_i))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 n0_i)) (+.f32 (*.f32 normAngle (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) (*.f32 n1_i (sin.f32 (*.f32 u n0_i)))))
(/.f32 (fma.f32 normAngle (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (*.f32 n1_i (sin.f32 (*.f32 u n0_i)))) (sin.f32 n0_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n1_i))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u n1_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n1_i))) normAngle))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (/.f32 #s(literal 1 binary32) (sin.f32 n1_i))) n0_i (*.f32 normAngle (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 n1_i)) (sin.f32 (*.f32 u n1_i)))))
(fma.f32 normAngle (/.f32 (sin.f32 (*.f32 u n1_i)) (sin.f32 n1_i)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (sin.f32 n1_i))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 n1_i)) (+.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n1_i))) (*.f32 normAngle (sin.f32 (*.f32 u n1_i)))))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (*.f32 normAngle (sin.f32 (*.f32 u n1_i)))) (sin.f32 n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) n0_i) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) u) (*.f32 (*.f32 (sin.f32 (*.f32 n0_i normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) n0_i)))) u (*.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle n0_i)))))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) n0_i))) (/.f32 u (sin.f32 normAngle)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 u (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) n0_i)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle n0_i)))))
(/.f32 (fma.f32 u (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) n0_i))) (*.f32 n1_i (sin.f32 (*.f32 normAngle n0_i)))) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) n1_i) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 n1_i normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) u))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) n1_i)))) n0_i (*.f32 u (/.f32 (*.f32 (sin.f32 (*.f32 normAngle n1_i)) #s(literal 1 binary32)) (sin.f32 normAngle))))
(fma.f32 u (/.f32 (sin.f32 (*.f32 normAngle n1_i)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) n1_i))) (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) n1_i)))) (*.f32 u (sin.f32 (*.f32 normAngle n1_i)))))
(/.f32 (fma.f32 u (sin.f32 (*.f32 normAngle n1_i)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) n1_i))))) (sin.f32 normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i (*.f32 n0_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 u normAngle)))))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
Symmetry

(abs normAngle)

explain180.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-30(6.999131850099985e-36 3.365235645702569e-9 -9.48206705998949e-23 6.141000312709366e-7)(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
00-0-(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
00-0-(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
00-0-(sin.f32 (*.f32 u normAngle))
00-0-(sin.f32 normAngle)
00-0-u
00-0-#s(literal 1 binary32)
00-0-(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
00-0-(-.f32 #s(literal 1 binary32) u)
00-0-normAngle
00-0-n0_i
00-0-(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
00-0-(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
00-0-n1_i
00-0-(*.f32 u normAngle)
00-0-(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
00-0-(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
Results
86.0ms502×0valid
3.0ms10×1valid
Compiler

Compiled 241 to 53 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 23.0ms (48.7% of total)
ival-sin: 14.0ms (29.7% of total)
ival-div: 4.0ms (8.5% of total)
ival-add: 3.0ms (6.4% of total)
ival-sub: 3.0ms (6.4% of total)
const: 1.0ms (2.1% of total)
backward-pass: 1.0ms (2.1% of total)

eval1.0ms (0%)

Compiler

Compiled 85 to 26 computations (69.4% saved)

prune4.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.3%
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
▶95.8%
(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)))
▶72.8%
(/.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))
▶95.8%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
▶72.6%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
Compiler

Compiled 252 to 156 computations (38.1% saved)

localize425.0ms (2.8%)

Algorithm
1×egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
✓cost-diff64
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
✓cost-diff64
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓cost-diff3392
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
✓cost-diff64
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓cost-diff64
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓cost-diff64
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓cost-diff256
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓cost-diff0
(-.f32 #s(literal 1 binary32) u)
✓cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
✓cost-diff0
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
✓cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
✓cost-diff0
(sin.f32 normAngle)
✓cost-diff0
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
✓cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
✓cost-diff3264
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy99.2%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
✓accuracy98.7%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy94.0%
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy99.5%
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓accuracy98.7%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy93.1%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy99.8%
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
✓accuracy99.7%
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy73.0%
(/.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)
✓accuracy72.8%
(*.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%
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓accuracy99.2%
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
✓accuracy93.5%
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
Rules
2190×fma-define
664×fma-neg
492×times-frac
300×distribute-lft-in
286×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0391563
1821486
21451486
32131486
42641486
53071486
63761486
74791486
87311486
98441486
1010331486
1116011486
1227411486
1337401486
1437831486
1537881486
1637881486
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(sin.f32 normAngle)
n0_i
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
normAngle
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
u
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(sin.f32 normAngle)
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
n1_i
Outputs
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(sin.f32 normAngle)
n0_i
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
normAngle
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
u
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(sin.f32 normAngle)
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i))
(/.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
(/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
(/.f32 (*.f32 #s(literal 1 binary32) n1_i) (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
Results
133.0ms250×0valid
7.0ms6×1valid
Compiler

Compiled 409 to 31 computations (92.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 47.0ms (59.9% of total)
ival-sin: 9.0ms (11.5% of total)
ival-fma: 8.0ms (10.2% of total)
ival-div: 7.0ms (8.9% of total)
ival-add: 3.0ms (3.8% of total)
ival-sub: 2.0ms (2.6% of total)
backward-pass: 2.0ms (2.6% of total)
const: 0.0ms (0% of total)

series126.0ms (0.8%)

Counts
21 → 656
Calls
Call 1
Inputs
#<alt (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))>
#<alt (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)>
#<alt (fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))>
#<alt (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)>
#<alt (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)>
#<alt (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))>
#<alt (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))>
#<alt (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)>
#<alt (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)>
#<alt (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))>
#<alt (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))>
#<alt (sin.f32 normAngle)>
#<alt (-.f32 #s(literal 1 binary32) u)>
#<alt (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))>
#<alt (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)>
#<alt (fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))>
Outputs
#<alt (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))>
#<alt (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))))) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle))))))) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt u>
#<alt (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))))>
#<alt (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))) (*.f32 #s(literal 1/120 binary32) u))))) (*.f32 #s(literal -1/6 binary32) u))))>
#<alt (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))) (*.f32 #s(literal 1/120 binary32) u)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) u) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))) (*.f32 #s(literal 1/120 binary32) u))))) (*.f32 #s(literal -1/6 binary32) u))))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))))))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))>
#<alt (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))>
#<alt (-.f32 #s(literal 1 binary32) u)>
#<alt (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u)>
#<alt (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u)>
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#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle)))))))>
#<alt (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle)))))))>
Calls

168 calls:

TimeVariablePointExpression
6.0ms
n0_i
@0
(+ (* (/ (sin (* (- 1 u) normAngle)) (sin normAngle)) n0_i) (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i))
4.0ms
n0_i
@-inf
(* (/ 1 (sin normAngle)) (+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)))
3.0ms
normAngle
@0
(+ (* (/ (sin (* (- 1 u) normAngle)) (sin normAngle)) n0_i) (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i))
2.0ms
normAngle
@inf
(/ (sin (* (- 1 u) normAngle)) (sin normAngle))
2.0ms
normAngle
@0
(* (/ 1 (sin normAngle)) (+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)))

rewrite619.0ms (4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
039888
1652823
27584823
Stop Event
1×node limit
Counts
21 → 811
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
(-.f32 #s(literal 1 binary32) u)
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
Outputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32))) (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 u normAngle))))
(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u normAngle))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(*.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 u normAngle)) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sqrt.f32 (sin.f32 normAngle))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32)))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u normAngle))) #s(literal 2 binary32))) (cbrt.f32 (sin.f32 (*.f32 u normAngle))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sqrt.f32 (sin.f32 (*.f32 u normAngle)))) (sqrt.f32 (sin.f32 (*.f32 u normAngle))))
(pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 1 binary32))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal -2 binary32))) (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (sin.f32 normAngle))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))))
(/.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) (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 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 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 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32))) (*.f32 (sin.f32 normAngle) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))))
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 2 binary32))) (*.f32 (sin.f32 normAngle) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))
(/.f32 (*.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 2 binary32)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))) (sin.f32 normAngle)))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32))) #s(literal -1 binary32)) (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))) (neg.f32 (sin.f32 normAngle))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 2 binary32))) #s(literal -1 binary32)) (*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (neg.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 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 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 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))) (neg.f32 (neg.f32 (sin.f32 normAngle))))
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32)))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 2 binary32)))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (*.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (sin.f32 normAngle)))
(pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) #s(literal -1 binary32))
(neg.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 1 binary32)))
(+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 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 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) #s(literal 1 binary32)))
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))))
(/.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) (neg.f32 (sin.f32 normAngle)))
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(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32)))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 2 binary32)))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (*.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (sin.f32 normAngle)))
(pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) #s(literal -1 binary32))
(neg.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 1 binary32)))

simplify877.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
926×distribute-rgt-in
918×distribute-lft-in
876×*-commutative
458×+-commutative
450×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01513110468
13930105571
Stop Event
1×node limit
Counts
1467 → 789
Calls
Call 1
Inputs
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))))) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle))))))) (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
u
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))))
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))) (*.f32 #s(literal 1/120 binary32) u))))) (*.f32 #s(literal -1/6 binary32) u))))
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))) (*.f32 #s(literal 1/120 binary32) u)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) u) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))) (*.f32 #s(literal 1/120 binary32) u))))) (*.f32 #s(literal -1/6 binary32) u))))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))))))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(-.f32 #s(literal 1 binary32) u)
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u)
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u)
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u)
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
normAngle
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
n0_i
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle))) (sin.f32 normAngle))))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
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n0_i
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(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))))))
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(*.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)))))))))))))))
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(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
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(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
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(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
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(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
u
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(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
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(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
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(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))
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(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle))
(-.f32 #s(literal 1 binary32) u)
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u)
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(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u)
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
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(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
n0_i
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))
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(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
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(sin.f32 normAngle)
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normAngle
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#s(literal 1 binary32)
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n0_i
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n0_i
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(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))))
(/.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) (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 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 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 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32))) (*.f32 (sin.f32 normAngle) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))))
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 2 binary32))) (*.f32 (sin.f32 normAngle) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))
(/.f32 (*.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 2 binary32)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))) (sin.f32 normAngle)))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32))) #s(literal -1 binary32)) (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))) (neg.f32 (sin.f32 normAngle))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 2 binary32))) #s(literal -1 binary32)) (*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (neg.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 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 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 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))) (neg.f32 (neg.f32 (sin.f32 normAngle))))
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32)))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 2 binary32)))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (*.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cbrt.f32 (sin.f32 normAngle)))
(pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) #s(literal -1 binary32))
(neg.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 1 binary32)))
Outputs
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 (pow.f32 u #s(literal 2 binary32)) (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))))) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (/.f32 (pow.f32 u #s(literal 2 binary32)) (sin.f32 normAngle))))) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle))))))) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (/.f32 (pow.f32 u #s(literal 2 binary32)) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)))))) (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
u
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))))
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))) (*.f32 #s(literal 1/120 binary32) u))))) (*.f32 #s(literal -1/6 binary32) u))))
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 u #s(literal 1/120 binary32)))))) (*.f32 #s(literal 1/6 binary32) u))))
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#s(literal 1 binary32)
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normAngle
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n0_i
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n0_i
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(*.f32 n0_i (sin.f32 normAngle))
(*.f32 (sin.f32 normAngle) n0_i)
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(fma.f32 n0_i (sin.f32 normAngle) (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 normAngle (cos.f32 normAngle)) n0_i))))
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(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
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(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
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(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
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(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
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(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
(*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))))))))
(*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)))))))
(*.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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal 1/120 binary32) (+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))))))))))
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))))))))))))))
(*.f32 normAngle (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal -1/5040 binary32) (+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i)))))))))))))
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
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(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))
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(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
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(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
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(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
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(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
u
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#s(literal 1 binary32)
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n0_i
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(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 7/360 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))) normAngle)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 7/360 binary32))))) normAngle)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 7/360 binary32) (*.f32 #s(literal 31/15120 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))))) normAngle)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 7/360 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 31/15120 binary32))))))) normAngle)
normAngle
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/6 binary32)))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/6 binary32)))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 2 binary32))))) #s(literal 1/6 binary32)))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal -1/6 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(*.f32 #s(literal -1 binary32) u)
(neg.f32 u)
(*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
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(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) u)
(neg.f32 u)
(*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))))
(*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)))
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(*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)))
(*.f32 u (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u))))
n0_i
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (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))))))
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(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
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(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
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(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
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(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
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(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))
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(pow.f32 (sqrt.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 2 binary32))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) #s(literal -1 binary32))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(neg.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (neg.f32 (sin.f32 normAngle))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) (sin.f32 normAngle)))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)))
(log.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) #s(literal 3 binary32)))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(exp.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) #s(literal 1 binary32)))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))

eval313.0ms (2%)

Compiler

Compiled 49525 to 5291 computations (89.3% saved)

prune605.0ms (3.9%)

Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New1614231637
Fresh000
Picked505
Done000
Total1619231642
Accuracy
100.0%
Counts
1642 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.4%
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 u n1_i))
96.3%
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
96.2%
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
97.2%
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 u n1_i))
97.3%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
81.3%
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
▶72.7%
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
71.4%
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
▶33.3%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
72.8%
(/.f32 (*.f32 n0_i (+.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i))) (sin.f32 normAngle))
44.7%
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
72.7%
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))
95.9%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.2%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
▶98.7%
(+.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)))))))
41.7%
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
▶71.7%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
72.6%
(*.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)))
72.4%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))))) (*.f32 n1_i normAngle)))))
70.0%
(*.f32 (/.f32 #s(literal 1 binary32) normAngle) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
56.5%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
95.9%
(*.f32 n1_i (+.f32 (*.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
▶45.7%
n0_i
Compiler

Compiled 894 to 596 computations (33.3% saved)

localize261.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)
✓cost-diff0
(*.f32 u normAngle)
✓cost-diff0
(sin.f32 (*.f32 u normAngle))
cost-diff0
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
✓cost-diff0
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
✓cost-diff0
(*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i)
cost-diff0
(sin.f32 normAngle)
cost-diff0
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
✓cost-diff0
(*.f32 normAngle u)
✓cost-diff0
(sin.f32 (*.f32 normAngle u))
✓cost-diff0
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
✓cost-diff0
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
✓cost-diff0
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
✓cost-diff192
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
✓cost-diff3328
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
✓cost-diff3328
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
✓accuracy99.7%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)
accuracy99.7%
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
✓accuracy99.5%
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
✓accuracy73.0%
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
✓accuracy99.7%
(*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i)
accuracy99.7%
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
✓accuracy99.5%
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
✓accuracy72.8%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
accuracy100.0%
(sin.f32 normAngle)
✓accuracy99.9%
(sin.f32 (*.f32 normAngle u))
✓accuracy99.7%
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
✓accuracy61.2%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
✓accuracy99.9%
(*.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)))))))
✓accuracy99.7%
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
✓accuracy99.5%
(*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
Rules
1488×unsub-neg
1290×fma-define
1260×fma-neg
730×associate-*r/
580×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0401098
1891088
22051088
35401061
415531022
532111022
655621022
777261022
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)
n0_i
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
n1_i
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
u
(sin.f32 normAngle)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
normAngle
(+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
u
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
(+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
n1_i
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
n0_i
(sin.f32 normAngle)
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) n0_i)
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 normAngle))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) n0_i)
(fma.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))) n0_i)
(fma.f32 u (*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))) n0_i)
n0_i
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 normAngle))))
(*.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))))
(*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle))))
(*.f32 normAngle (*.f32 (/.f32 u (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle)))))
(*.f32 normAngle (*.f32 u (/.f32 (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))))
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 normAngle)))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle))))
(*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(*.f32 n0_i (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 normAngle (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 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)
n0_i
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
n1_i
(sin.f32 (*.f32 normAngle u))
(sin.f32 (*.f32 u normAngle))
(*.f32 normAngle u)
(*.f32 u normAngle)
normAngle
u
(sin.f32 normAngle)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))))
(/.f32 (fma.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 u normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i normAngle))) (sin.f32 normAngle))
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
normAngle
(+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(fma.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (*.f32 u normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i normAngle)))
(fma.f32 n1_i (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i)
(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i normAngle))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
u
n0_i
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(/.f32 (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 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))
(fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
u
normAngle
n1_i
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(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)
n0_i
(sin.f32 normAngle)
Results
96.0ms252×0valid
4.0ms4×1valid
Compiler

Compiled 273 to 33 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 23.0ms (45.3% of total)
ival-div: 9.0ms (17.7% of total)
ival-sin: 9.0ms (17.7% of total)
ival-add: 4.0ms (7.9% of total)
ival-sub: 3.0ms (5.9% of total)
ival-cos: 2.0ms (3.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series132.0ms (0.9%)

Counts
16 → 420
Calls
Call 1
Inputs
#<alt (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))>
#<alt (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))>
#<alt (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))>
#<alt (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))>
#<alt (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i)>
#<alt (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))>
#<alt (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)>
#<alt (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle u)>
#<alt (sin.f32 (*.f32 u normAngle))>
#<alt (*.f32 u normAngle)>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/45 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -2/945 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/45 binary32))) #s(literal 1/3 binary32))))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 u (-.f32 n1_i n0_i))>
#<alt (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))>
#<alt (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (*.f32 #s(literal 1/24 binary32) n0_i)))))))))>
#<alt (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (*.f32 #s(literal 1/24 binary32) n0_i))))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal 1/120 binary32) n0_i)))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))))) (+.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))))))))))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))>
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#<alt (*.f32 n0_i (sin.f32 normAngle))>
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#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))))))>
#<alt (-.f32 n1_i n0_i)>
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#<alt (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))>
#<alt (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))>
#<alt (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))>
#<alt (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))>
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#<alt (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))>
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#<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)))>
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#<alt (*.f32 n0_i (-.f32 (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))))>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))))))>
#<alt (*.f32 u (+.f32 normAngle (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))))))))>
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#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 u #s(literal 3 binary32))))))>
#<alt (*.f32 normAngle (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 u #s(literal 5 binary32))))))))>
#<alt (*.f32 normAngle (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 u #s(literal 7 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))))))))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (sin.f32 (*.f32 normAngle u))>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
#<alt (*.f32 normAngle u)>
Calls

132 calls:

TimeVariablePointExpression
44.0ms
normAngle
@0
(* (* normAngle (- 1 u)) n0_i)
13.0ms
normAngle
@-inf
(* normAngle (/ (cos normAngle) (sin normAngle)))
3.0ms
n1_i
@0
(+ n0_i (* u (- (* n1_i (/ normAngle (sin normAngle))) (* n0_i (* normAngle (/ (cos normAngle) (sin normAngle)))))))
3.0ms
u
@0
(* u (- (* n1_i (/ normAngle (sin normAngle))) (* n0_i (* normAngle (/ (cos normAngle) (sin normAngle))))))
2.0ms
normAngle
@-inf
(* u (- (* n1_i (/ normAngle (sin normAngle))) (* n0_i (* normAngle (/ (cos normAngle) (sin normAngle))))))

rewrite191.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
316×log1p-expm1-u
316×expm1-log1p-u
312×add-cube-cbrt
310×add-exp-log
309×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040637
1740605
Stop Event
1×node limit
Counts
16 → 343
Calls
Call 1
Inputs
(*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(sin.f32 (*.f32 normAngle u))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i)
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 normAngle u)
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) #s(literal 1 binary32))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 1 binary32)))
(-.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))
(pow.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))
(pow.f32 (cbrt.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 3 binary32))
(pow.f32 (pow.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 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))))
(cbrt.f32 (pow.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 3 binary32)))
(expm1.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)))))))
(log1p.f32 (expm1.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)))))))
(exp.f32 (log.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)))))))
(exp.f32 (*.f32 (log.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)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 n0_i #s(literal 2 binary32)) (-.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))) (/.f32 (pow.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 2 binary32)) (-.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))))
(*.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i)) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i)))
(*.f32 (sqrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i)) (sqrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.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 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) #s(literal 2 binary32)) (*.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))))))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (-.f32 (pow.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 2 binary32)) (*.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) #s(literal 2 binary32)))) (neg.f32 (-.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))))
(/.f32 (+.f32 (pow.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 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) #s(literal 2 binary32)) (-.f32 (pow.f32 n0_i #s(literal 2 binary32)) (*.f32 (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i))))
(pow.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.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 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i))))
(cbrt.f32 (pow.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i)))
(exp.f32 (log.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i)) #s(literal 1 binary32)))
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i)
(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)
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))
(fma.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) n0_i)
(fma.f32 (pow.f32 (cbrt.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 2 binary32)) (cbrt.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)))))) n0_i)
(fma.f32 (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (cbrt.f32 n0_i) (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))
(fma.f32 (sqrt.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)))))) (sqrt.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)))))) n0_i)
(fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))) #s(literal 1 binary32))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 n1_i normAngle)) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 n1_i (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 n1_i #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 normAngle u)) (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 n1_i (sqrt.f32 (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 1 binary32)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 n1_i (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)))
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(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) (*.f32 n0_i normAngle)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) (*.f32 n0_i normAngle) (*.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) (*.f32 n0_i normAngle))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 1 binary32))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 (cbrt.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) (*.f32 n0_i normAngle)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) (*.f32 n0_i normAngle) (*.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) (*.f32 n0_i normAngle))))
(*.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 2 binary32))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))))
(/.f32 (+.f32 (pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 3 binary32)) (pow.f32 (fma.f32 (neg.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 2 binary32)) (-.f32 (*.f32 (fma.f32 (neg.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) (fma.f32 (neg.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) (*.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) (fma.f32 (neg.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))))
(pow.f32 (-.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))
(pow.f32 (cbrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))))
(cbrt.f32 (pow.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))
(log1p.f32 (expm1.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))
(exp.f32 (log.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))))
(exp.f32 (*.f32 (log.f32 (-.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)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) (fma.f32 (neg.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) (fma.f32 (neg.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) (fma.f32 (neg.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 normAngle u))) #s(literal 1 binary32))
(pow.f32 (*.f32 normAngle u) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 normAngle u)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 normAngle u)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 normAngle) u))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle u))))
(cbrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 normAngle u)))
(log1p.f32 (expm1.f32 (*.f32 normAngle u)))
(exp.f32 (log.f32 (*.f32 normAngle u)))
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle u)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 normAngle u)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u)))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 normAngle u))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle u))) (sqrt.f32 (sin.f32 (*.f32 normAngle u))))
(pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (*.f32 normAngle u))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 normAngle u)))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 normAngle u))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 normAngle u))))
(exp.f32 (log.f32 (sin.f32 (*.f32 normAngle u))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 normAngle u))) #s(literal 1 binary32))
(pow.f32 (*.f32 normAngle u) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 normAngle u)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 normAngle u)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 normAngle) u))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle u))))
(cbrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 normAngle u)))
(log1p.f32 (expm1.f32 (*.f32 normAngle u)))
(exp.f32 (log.f32 (*.f32 normAngle u)))
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle u)) #s(literal 1 binary32)))

simplify399.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
942×distribute-rgt-in
930×distribute-lft-in
772×*-commutative
456×times-frac
454×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0131750996
1383848899
Stop Event
1×node limit
Counts
763 → 713
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/45 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))
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n0_i
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(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
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(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
n1_i
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(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i u)
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(*.f32 normAngle u)
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(*.f32 normAngle u)
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(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(*.f32 normAngle (+.f32 (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 normAngle (sin.f32 normAngle)))))
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(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
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(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 normAngle (sin.f32 normAngle)))))))
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(/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle))
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(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle u)) (sin.f32 normAngle)))
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(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle u)) (sin.f32 normAngle)))
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(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) u)) (/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle)))))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
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(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
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(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
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(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 n0_i (*.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 (*.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 (*.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 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
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(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))))))
normAngle
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u)))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) normAngle) (/.f32 normAngle u)))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u)))))
(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
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(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i normAngle)
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle u))) (*.f32 n0_i normAngle))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle u))) (*.f32 n0_i normAngle))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle u))) (*.f32 n0_i normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle u)))
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(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i normAngle)) (/.f32 (*.f32 n0_i normAngle) u)))
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(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i normAngle) u)) (*.f32 n0_i normAngle))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i normAngle) u)) (*.f32 n0_i normAngle))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i normAngle) u)) (*.f32 n0_i normAngle))))
(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
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(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
n0_i
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
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(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
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(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (*.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))))) (*.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))))) (*.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))))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
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(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) (fma.f32 (neg.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) (fma.f32 (neg.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) (sqrt.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) (fma.f32 (neg.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) n0_i (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 normAngle u))) #s(literal 1 binary32))
(pow.f32 (*.f32 normAngle u) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 normAngle u)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 normAngle u)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 normAngle) u))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle u))))
(cbrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 normAngle u)))
(log1p.f32 (expm1.f32 (*.f32 normAngle u)))
(exp.f32 (log.f32 (*.f32 normAngle u)))
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle u)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 normAngle u)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u)))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 normAngle u))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle u))) (sqrt.f32 (sin.f32 (*.f32 normAngle u))))
(pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (sin.f32 (*.f32 normAngle u))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 normAngle u)))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 normAngle u))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 normAngle u))))
(exp.f32 (log.f32 (sin.f32 (*.f32 normAngle u))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 normAngle u))) #s(literal 1 binary32))
(pow.f32 (*.f32 normAngle u) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 normAngle u)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 normAngle u)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 normAngle) u))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle u))))
(cbrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 normAngle u)))
(log1p.f32 (expm1.f32 (*.f32 normAngle u)))
(exp.f32 (log.f32 (*.f32 normAngle u)))
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle u)) #s(literal 1 binary32)))
Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/45 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/45 binary32) (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/3 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/45 binary32) #s(literal -1/3 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -2/945 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/45 binary32))) #s(literal 1/3 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -2/945 binary32) (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -1/45 binary32)) #s(literal -1/3 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal -2/945 binary32) #s(literal -1/45 binary32)) #s(literal -1/3 binary32))))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 (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 n0_i (*.f32 normAngle (/.f32 (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 n0_i (*.f32 normAngle (/.f32 (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 n0_i (*.f32 normAngle (/.f32 (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 n0_i (*.f32 normAngle (/.f32 (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 n0_i (*.f32 normAngle (/.f32 (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 n0_i (*.f32 normAngle (/.f32 (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 n0_i (*.f32 normAngle (/.f32 (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 n0_i (*.f32 normAngle (/.f32 (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 n0_i (*.f32 normAngle (/.f32 (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 n0_i (*.f32 normAngle (/.f32 (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 n0_i (*.f32 normAngle (/.f32 (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 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 n0_i) (*.f32 (*.f32 normAngle u) (cos.f32 normAngle))) (sin.f32 normAngle))
(*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 (cos.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)))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 (cos.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)))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)))) (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(-.f32 (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(*.f32 n1_i (-.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (/.f32 (cos.f32 normAngle) n1_i)))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(*.f32 n1_i (-.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (/.f32 (cos.f32 normAngle) n1_i)))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(*.f32 n1_i (-.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (/.f32 (cos.f32 normAngle) n1_i)))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))))))
(neg.f32 (*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i))))))
(*.f32 (-.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (/.f32 (cos.f32 normAngle) n1_i))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (neg.f32 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 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i))))))
(*.f32 (-.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (/.f32 (cos.f32 normAngle) n1_i))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (neg.f32 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 normAngle (/.f32 u (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i))))))
(*.f32 (-.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (/.f32 (cos.f32 normAngle) n1_i))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (neg.f32 n1_i))
(*.f32 u (-.f32 n1_i n0_i))
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n1_i
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normAngle
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(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 normAngle u))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 normAngle u)))
(pow.f32 (*.f32 normAngle u) #s(literal 1 binary32))
(*.f32 normAngle u)
(pow.f32 (cbrt.f32 (*.f32 normAngle u)) #s(literal 3 binary32))
(*.f32 normAngle u)
(pow.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 normAngle u)
(pow.f32 (sqrt.f32 (*.f32 normAngle u)) #s(literal 2 binary32))
(*.f32 normAngle u)
(sqrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 2 binary32)))
(fabs.f32 (*.f32 normAngle u))
(log.f32 (pow.f32 (exp.f32 normAngle) u))
(*.f32 normAngle u)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle u))))
(*.f32 normAngle u)
(cbrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)))
(*.f32 normAngle u)
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
(*.f32 normAngle u)
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(*.f32 normAngle u)
(expm1.f32 (log1p.f32 (*.f32 normAngle u)))
(log1p.f32 (expm1.f32 (*.f32 normAngle u)))
(*.f32 normAngle u)
(exp.f32 (log.f32 (*.f32 normAngle u)))
(*.f32 normAngle u)
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle u)) #s(literal 1 binary32)))
(*.f32 normAngle u)
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 normAngle u)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 normAngle u))))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u)))
(sin.f32 (*.f32 normAngle u))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (cbrt.f32 (sin.f32 (*.f32 normAngle u))))
(sin.f32 (*.f32 normAngle u))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle u))) (sqrt.f32 (sin.f32 (*.f32 normAngle u))))
(sin.f32 (*.f32 normAngle u))
(pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 1 binary32))
(sin.f32 (*.f32 normAngle u))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32))
(sin.f32 (*.f32 normAngle u))
(pow.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(sin.f32 (*.f32 normAngle u))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))
(sin.f32 (*.f32 normAngle u))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)))
(fabs.f32 (sin.f32 (*.f32 normAngle u)))
(log.f32 (exp.f32 (sin.f32 (*.f32 normAngle u))))
(sin.f32 (*.f32 normAngle u))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sin.f32 (*.f32 normAngle u)))))
(sin.f32 (*.f32 normAngle u))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)))
(sin.f32 (*.f32 normAngle u))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 normAngle u))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 normAngle u))))
(sin.f32 (*.f32 normAngle u))
(exp.f32 (log.f32 (sin.f32 (*.f32 normAngle u))))
(sin.f32 (*.f32 normAngle u))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32)))
(sin.f32 (*.f32 normAngle u))
(-.f32 (exp.f32 (log1p.f32 (*.f32 normAngle u))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 normAngle u)))
(pow.f32 (*.f32 normAngle u) #s(literal 1 binary32))
(*.f32 normAngle u)
(pow.f32 (cbrt.f32 (*.f32 normAngle u)) #s(literal 3 binary32))
(*.f32 normAngle u)
(pow.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 normAngle u)
(pow.f32 (sqrt.f32 (*.f32 normAngle u)) #s(literal 2 binary32))
(*.f32 normAngle u)
(sqrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 2 binary32)))
(fabs.f32 (*.f32 normAngle u))
(log.f32 (pow.f32 (exp.f32 normAngle) u))
(*.f32 normAngle u)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle u))))
(*.f32 normAngle u)
(cbrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)))
(*.f32 normAngle u)
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
(*.f32 normAngle u)
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(*.f32 normAngle u)
(expm1.f32 (log1p.f32 (*.f32 normAngle u)))
(log1p.f32 (expm1.f32 (*.f32 normAngle u)))
(*.f32 normAngle u)
(exp.f32 (log.f32 (*.f32 normAngle u)))
(*.f32 normAngle u)
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle u)) #s(literal 1 binary32)))
(*.f32 normAngle u)

eval125.0ms (0.8%)

Compiler

Compiled 27376 to 3917 computations (85.7% saved)

prune162.0ms (1%)

Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New96816984
Fresh11718
Picked325
Done000
Total982251007
Accuracy
100.0%
Counts
1007 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.9%
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
97.3%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
72.1%
(/.f32 (+.f32 (*.f32 (*.f32 normAngle u) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
✓72.7%
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
71.4%
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
32.7%
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
▶33.3%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
44.1%
(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
41.7%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 normAngle u))))
95.9%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.2%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
70.7%
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
98.7%
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i #s(literal 1 binary32)))))
97.5%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
▶98.4%
(+.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))))
98.3%
(+.f32 n0_i (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))
▶83.5%
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
41.7%
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
71.5%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))))) (*.f32 n1_i normAngle)))))
72.6%
(*.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)))
61.8%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 normAngle n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
33.2%
(*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
56.5%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
▶42.2%
(*.f32 u n1_i)
✓45.7%
n0_i
Compiler

Compiled 813 to 549 computations (32.5% saved)

localize281.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 (*.f32 normAngle u))
cost-diff0
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
✓cost-diff128
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓cost-diff128
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
✓cost-diff-3136
(-.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)
✓cost-diff0
(*.f32 n1_i #s(literal 1/6 binary32))
✓cost-diff0
(*.f32 n0_i #s(literal 1/3 binary32))
✓cost-diff0
(pow.f32 normAngle #s(literal 2 binary32))
cost-diff0
(sin.f32 normAngle)
✓cost-diff0
(/.f32 u (sin.f32 normAngle))
✓cost-diff0
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
✓cost-diff0
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
✓cost-diff0
(*.f32 u n1_i)
✓cost-diff0
(/.f32 normAngle (sin.f32 normAngle))
cost-diff0
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
✓cost-diff64
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
✓cost-diff64
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
accuracy99.9%
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
accuracy99.7%
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
✓accuracy99.5%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓accuracy61.7%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
✓accuracy99.7%
(*.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)))
✓accuracy99.6%
(*.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))))
✓accuracy99.1%
(*.f32 n1_i #s(literal 1/6 binary32))
✓accuracy99.0%
(*.f32 n0_i #s(literal 1/3 binary32))
✓accuracy99.9%
(/.f32 u (sin.f32 normAngle))
✓accuracy99.9%
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
✓accuracy99.9%
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
✓accuracy99.5%
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
✓accuracy100.0%
(*.f32 u n1_i)
✓accuracy99.9%
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
✓accuracy99.9%
(/.f32 normAngle (tan.f32 normAngle))
accuracy99.9%
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
✓accuracy99.9%
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
Rules
1150×fma-neg
878×distribute-rgt-neg-in
876×distribute-lft-neg-in
738×unsub-neg
712×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045891
1103883
2267871
3702853
41775853
53276853
65742853
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
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)))
n0_i
(/.f32 normAngle (tan.f32 normAngle))
(tan.f32 normAngle)
(*.f32 u n1_i)
u
n1_i
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
n0_i
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
n1_i
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
normAngle
(/.f32 u (sin.f32 normAngle))
u
(sin.f32 normAngle)
(+.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))))
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)))
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))
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 (pow.f32 normAngle #s(literal 2 binary32)) (+.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 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 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 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
n1_i
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
u
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
Outputs
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(fma.f32 u (fma.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 u (*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) n0_i)
u
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
(fma.f32 (/.f32 normAngle (tan.f32 normAngle)) (neg.f32 n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
n1_i
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
(*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))
(*.f32 normAngle (/.f32 n0_i (tan.f32 normAngle)))
(/.f32 (*.f32 normAngle n0_i) (tan.f32 normAngle))
n0_i
(/.f32 normAngle (tan.f32 normAngle))
(tan.f32 normAngle)
(*.f32 u n1_i)
u
n1_i
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(fma.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 n1_i normAngle) n0_i)
(fma.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
n0_i
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(*.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 n1_i normAngle))
(*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
n1_i
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
normAngle
(/.f32 u (sin.f32 normAngle))
u
(sin.f32 normAngle)
(+.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 n1_i (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))))
(fma.f32 u (+.f32 n1_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))) n0_i)
(fma.f32 u (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i) n0_i) n0_i)
(fma.f32 u (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
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 u (+.f32 n1_i (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)))
(*.f32 u (+.f32 n1_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))))
(*.f32 u (-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i) n0_i))
(*.f32 u (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)))
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 n1_i (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))
(+.f32 n1_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)))
(-.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i) n0_i)
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i))
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 (*.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)
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) 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 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
normAngle
#s(literal 2 binary32)
(+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
(*.f32 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 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n1_i (sin.f32 (*.f32 normAngle u)))
(*.f32 n1_i (sin.f32 (*.f32 u normAngle)))
n1_i
(sin.f32 (*.f32 normAngle u))
(sin.f32 (*.f32 u normAngle))
(*.f32 normAngle u)
(*.f32 u normAngle)
normAngle
u
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 normAngle)
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
Results
107.0ms249×0valid
10.0ms5×5exit
2.0ms2×1valid
Compiler

Compiled 241 to 37 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 23.0ms (32.4% of total)
ival-div: 10.0ms (14.1% of total)
...c/correct-round.rkt:121:19: 9.0ms (12.7% of total)
ival-sub: 6.0ms (8.4% of total)
ival-add: 5.0ms (7% of total)
ival-sin: 5.0ms (7% of total)
ival-tan: 3.0ms (4.2% of total)
ival-pow: 3.0ms (4.2% of total)
ival-fma: 3.0ms (4.2% of total)
backward-pass: 2.0ms (2.8% of total)
const: 1.0ms (1.4% of total)

series86.0ms (0.6%)

Counts
17 → 428
Calls
Call 1
Inputs
#<alt (fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)>
#<alt (/.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 u n1_i)>
#<alt (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))>
#<alt (+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))>
#<alt (/.f32 u (sin.f32 normAngle))>
#<alt (*.f32 n0_i #s(literal 1/3 binary32))>
#<alt (*.f32 n1_i #s(literal 1/6 binary32))>
#<alt (*.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))))>
#<alt (*.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)))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (/.f32 normAngle (sin.f32 normAngle))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (-.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)>
Outputs
#<alt n0_i>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))>
#<alt (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))>
#<alt (+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))>
#<alt (+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))>
#<alt (+.f32 n0_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) n1_i)))))>
#<alt (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))>
#<alt (+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal 1/3 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 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))>
#<alt (*.f32 normAngle (+.f32 (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i normAngle)))>
#<alt (*.f32 normAngle (+.f32 (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i normAngle)))>
#<alt (*.f32 normAngle (+.f32 (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 n0_i normAngle)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))))>
#<alt (*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/45 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -2/945 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/45 binary32))) #s(literal 1/3 binary32))))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))>
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#<alt (*.f32 n1_i (-.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) n1_i))) (/.f32 n0_i n1_i)))>
#<alt (*.f32 n1_i (-.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) n1_i))) (/.f32 n0_i n1_i)))>
#<alt (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) n0_i) n1_i)) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) n0_i) n1_i)) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))) n0_i) n1_i)) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))>
Calls

117 calls:

TimeVariablePointExpression
14.0ms
normAngle
@inf
(* (pow normAngle 2) (+ (* n0_i 1/3) (* n1_i 1/6)))
3.0ms
normAngle
@inf
(* u (+ n1_i (- (* (pow normAngle 2) (+ (* n0_i 1/3) (* n1_i 1/6))) n0_i)))
2.0ms
n1_i
@-inf
(* n1_i 1/6)
2.0ms
u
@-inf
(+ n0_i (* n1_i (* normAngle (/ u (sin normAngle)))))
1.0ms
normAngle
@-inf
(+ (* u (- (* n1_i (/ normAngle (sin normAngle))) (* n0_i (/ normAngle (tan normAngle))))) n0_i)

rewrite155.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
341×log1p-expm1-u
341×expm1-log1p-u
335×add-cube-cbrt
333×add-exp-log
333×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044518
1759514
Stop Event
1×node limit
Counts
17 → 355
Calls
Call 1
Inputs
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) 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 u n1_i)
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(/.f32 u (sin.f32 normAngle))
(*.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 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 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 normAngle (sin.f32 normAngle))
(pow.f32 normAngle #s(literal 2 binary32))
(-.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)
Outputs
(+.f32 (*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) 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))
(*.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 (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 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)))
(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))
(sqrt.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 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)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 normAngle (tan.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 normAngle (tan.f32 normAngle)))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 normAngle (tan.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 normAngle (tan.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 normAngle (tan.f32 normAngle))) (sqrt.f32 (/.f32 normAngle (tan.f32 normAngle))))
(pow.f32 (/.f32 normAngle (tan.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 normAngle (tan.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 normAngle (tan.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 normAngle (tan.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (tan.f32 normAngle) normAngle) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 normAngle (tan.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 normAngle (tan.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 normAngle (tan.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 normAngle (tan.f32 normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (tan.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 normAngle (tan.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 normAngle (tan.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 normAngle (tan.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 normAngle (tan.f32 normAngle))) #s(literal 1 binary32)))
(+.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))
(+.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (neg.f32 n0_i) (/.f32 normAngle (tan.f32 normAngle))))
(+.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (fma.f32 (neg.f32 (/.f32 normAngle (tan.f32 normAngle))) n0_i (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))
(+.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (fma.f32 (neg.f32 n0_i) (/.f32 normAngle (tan.f32 normAngle)) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))
(+.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (sqrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))
(+.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (*.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 1 binary32))))
(+.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (*.f32 (cbrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32))))))
(+.f32 (fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (neg.f32 (*.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 1 binary32))))
(+.f32 (fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (neg.f32 (*.f32 (cbrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32))))))
(+.f32 (fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 (*.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 (*.f32 (cbrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32))))))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 1 binary32))))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 (cbrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32))))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 1 binary32))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 (*.f32 (cbrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) (cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32))))))
(*.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))
(*.f32 (pow.f32 (cbrt.f32 (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 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(*.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) (sqrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)) #s(literal 2 binary32))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))
(/.f32 (-.f32 (*.f32 (*.f32 n1_i normAngle) (tan.f32 normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle))) (*.f32 (sin.f32 normAngle) (tan.f32 normAngle)))
(pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))))))
(cbrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
(log1p.f32 (expm1.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i normAngle) (tan.f32 normAngle))))))
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(+.f32 (fma.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 normAngle (sqrt.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (neg.f32 (*.f32 n0_i #s(literal 1 binary32)))) (fma.f32 (neg.f32 n0_i) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1 binary32))))
(+.f32 (fma.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 normAngle (sqrt.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (neg.f32 (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 n0_i)) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)) (*.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))))
(*.f32 (sqrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))) (sqrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))))
(/.f32 (-.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) #s(literal 2 binary32)) (fma.f32 n0_i n0_i (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i))))
(/.f32 (-.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32))) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n0_i))
(pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)))))
(cbrt.f32 (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))))
(log1p.f32 (expm1.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))))
(exp.f32 (log.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))) #s(literal 1 binary32)))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))
(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)) (neg.f32 n0_i))
(fma.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (neg.f32 n0_i))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (neg.f32 n0_i))
(fma.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 normAngle (sqrt.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (neg.f32 n0_i))

simplify592.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
1464×fma-define
960×times-frac
712×distribute-rgt-in
708×distribute-lft-in
620×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0119038712
1300936429
Stop Event
1×node limit
Counts
783 → 771
Calls
Call 1
Inputs
n0_i
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))
(*.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 n0_i u) (/.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 n0_i u) (/.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 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))
(+.f32 n0_i (+.f32 (*.f32 #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 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 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))) (+.f32 (/.f32 n0_i n1_i) (/.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 n0_i n1_i) (/.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 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) n1_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) n1_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) n1_i)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_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)))))))))
(+.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))))))))))))))
(*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.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)))
(*.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)))
(*.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)))
(*.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 (*.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))))))))
(*.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))))))))
(*.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))))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/45 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/3 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -2/945 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/45 binary32))) #s(literal 1/3 binary32))))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))))))
(-.f32 n1_i n0_i)
(-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i)
(-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i)
(-.f32 (+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (+.f32 (*.f32 #s(literal 2/15 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i))) (+.f32 (*.f32 #s(literal -2/45 binary32) n0_i) (*.f32 #s(literal 17/315 binary32) n0_i))) (+.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (+.f32 (*.f32 #s(literal 1/720 binary32) n1_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i))))) (*.f32 #s(literal -1/6 binary32) n1_i)))) n0_i)
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(*.f32 n0_i (-.f32 (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 n0_i (-.f32 (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 n0_i (-.f32 (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))))
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
u
(+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) u) (*.f32 #s(literal 1/120 binary32) u)))) (*.f32 #s(literal -1/6 binary32) u))))
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) u) (+.f32 (*.f32 #s(literal 1/720 binary32) u) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) u) (*.f32 #s(literal 1/120 binary32) u))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) u) (*.f32 #s(literal 1/120 binary32) u)))) (*.f32 #s(literal -1/6 binary32) u))))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
n0_i
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))
n0_i
(*.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)))) #s(literal 1 binary32))))
(*.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)))) #s(literal 1 binary32))))
(*.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)))) #s(literal 1 binary32))))
n0_i
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(*.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))))
(+.f32 n0_i (*.f32 n1_i u))
(+.f32 n0_i (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))) (*.f32 n1_i u)))
(+.f32 n0_i (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))
(+.f32 n0_i (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (+.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))))) (+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 normAngle (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(*.f32 normAngle (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(*.f32 normAngle (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))))
n0_i
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 u (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(*.f32 u (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 n1_i u)
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(*.f32 n1_i u)
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normAngle
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1/6 binary32)))))
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(sin.f32 normAngle)
(sin.f32 normAngle)
(sin.f32 normAngle)
(sin.f32 normAngle)
(sin.f32 normAngle)
(sin.f32 normAngle)
(sin.f32 normAngle)
(sin.f32 normAngle)
#s(literal 1 binary32)
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(exp.f32 (log.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))) #s(literal 1 binary32)))
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))
(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)) (neg.f32 n0_i))
(fma.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (neg.f32 n0_i))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (neg.f32 n0_i))
(fma.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 normAngle (sqrt.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (neg.f32 n0_i))
Outputs
n0_i
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))))
(fma.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))))
(fma.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))))
(fma.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) n0_i)
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (+.f32 (/.f32 n0_i u) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(neg.f32 (*.f32 u (fma.f32 #s(literal -1 binary32) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 (neg.f32 n0_i) u))))
(*.f32 (neg.f32 (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))) (neg.f32 u))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(neg.f32 (*.f32 u (fma.f32 #s(literal -1 binary32) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 (neg.f32 n0_i) u))))
(*.f32 (neg.f32 (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))) (neg.f32 u))
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))
(neg.f32 (*.f32 u (fma.f32 #s(literal -1 binary32) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 (neg.f32 n0_i) u))))
(*.f32 (neg.f32 (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (*.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))) (neg.f32 u))
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))
(+.f32 n0_i (neg.f32 (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle))))))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))
(+.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))))
(+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(+.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))))
(+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(+.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))))
(+.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle)))) (/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (*.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 u (/.f32 (*.f32 n1_i 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 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle)))) (+.f32 (/.f32 n0_i n1_i) (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))))
(*.f32 n1_i (-.f32 (fma.f32 u (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i n1_i)) (*.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle (*.f32 u (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 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle)))) (+.f32 (/.f32 n0_i n1_i) (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))))
(*.f32 n1_i (-.f32 (fma.f32 u (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i n1_i)) (*.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle (*.f32 u (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 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))))
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle)))) (+.f32 (/.f32 n0_i n1_i) (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))))
(*.f32 n1_i (-.f32 (fma.f32 u (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i n1_i)) (*.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 u (/.f32 (*.f32 n1_i 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 #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)))))
(neg.f32 (*.f32 n1_i (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (+.f32 n0_i (neg.f32 (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle)))))) n1_i)))))
(*.f32 n1_i (neg.f32 (neg.f32 (fma.f32 u (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))) n1_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) n1_i)))))
(neg.f32 (*.f32 n1_i (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (+.f32 n0_i (neg.f32 (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle)))))) n1_i)))))
(*.f32 n1_i (neg.f32 (neg.f32 (fma.f32 u (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))) n1_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) n1_i)))))
(neg.f32 (*.f32 n1_i (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (+.f32 n0_i (neg.f32 (*.f32 n0_i (*.f32 normAngle (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle)))))) n1_i)))))
(*.f32 n1_i (neg.f32 (neg.f32 (fma.f32 u (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))) n1_i)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))))))
(+.f32 n0_i (fma.f32 u (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))))
(+.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 u (-.f32 n1_i n0_i))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (+.f32 (*.f32 #s(literal -1/9 binary32) n0_i) (*.f32 #s(literal 2/15 binary32) n0_i)) (+.f32 (*.f32 #s(literal -1/36 binary32) n1_i) (*.f32 #s(literal 1/120 binary32) n1_i)))))))))
(+.f32 n0_i (fma.f32 u (-.f32 n1_i n0_i) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 n0_i #s(literal 1/45 binary32)) (*.f32 n1_i #s(literal -7/360 binary32)))))))))
(+.f32 n0_i (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) (*.f32 u (-.f32 n1_i n0_i))))
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 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))))))))))))))
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#s(literal 1 binary32)
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normAngle
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(sin.f32 normAngle)
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(sin.f32 normAngle)
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(+.f32 (+.f32 (neg.f32 n0_i) n0_i) (+.f32 (pow.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) #s(literal 2 binary32)) (neg.f32 n0_i)))
(+.f32 (*.f32 n0_i #s(literal 0 binary32)) (-.f32 (pow.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) #s(literal 2 binary32)) n0_i))
(*.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(*.f32 (sqrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))) (sqrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(/.f32 (-.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) #s(literal 2 binary32)) (fma.f32 n0_i n0_i (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i))))
(/.f32 (-.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) #s(literal 2 binary32)) (fma.f32 n0_i n0_i (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))))))
(/.f32 (fma.f32 (pow.f32 normAngle #s(literal 6 binary32)) (pow.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal 3 binary32)) (neg.f32 (pow.f32 n0_i #s(literal 3 binary32)))) (+.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (*.f32 n0_i (+.f32 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 (-.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 binary32))) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) n0_i))
(/.f32 (-.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 2 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))) n0_i))
(pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) #s(literal 1 binary32))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(pow.f32 (cbrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))) #s(literal 3 binary32))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(pow.f32 (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(pow.f32 (sqrt.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))) #s(literal 2 binary32))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(sqrt.f32 (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i) #s(literal 2 binary32)))
(fabs.f32 (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))
(log.f32 (exp.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)))))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(cbrt.f32 (pow.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) #s(literal 3 binary32)))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(expm1.f32 (log1p.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))))
(expm1.f32 (log1p.f32 (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)))
(expm1.f32 (log1p.f32 (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)))
(log1p.f32 (expm1.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(exp.f32 (log.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(exp.f32 (*.f32 (log.f32 (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))) #s(literal 1 binary32)))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(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)) (neg.f32 n0_i))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(fma.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (neg.f32 n0_i))
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)
(-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (neg.f32 n0_i))
(-.f32 (*.f32 (cbrt.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))) n0_i)
(fma.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 normAngle (sqrt.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (neg.f32 n0_i))
(+.f32 (pow.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) #s(literal 2 binary32)) (neg.f32 n0_i))
(-.f32 (pow.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) #s(literal 2 binary32)) n0_i)

eval113.0ms (0.7%)

Compiler

Compiled 20671 to 4005 computations (80.6% saved)

prune229.0ms (1.5%)

Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New9679976
Fresh61218
Picked235
Done022
Total975261001
Accuracy
100.0%
Counts
1001 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
82.5%
(fma.f32 u n1_i n0_i)
97.3%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
72.1%
(/.f32 (+.f32 (*.f32 (*.f32 normAngle u) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
✓72.7%
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
▶32.7%
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
✓33.3%
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
44.1%
(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
41.7%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 u normAngle))))
▶95.9%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.2%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
97.5%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
▶98.4%
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))))
▶82.4%
(+.f32 n0_i (*.f32 u n1_i))
98.3%
(+.f32 n0_i (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))
83.2%
(+.f32 n0_i (*.f32 n1_i (+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))))
✓83.5%
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
▶41.7%
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
71.5%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))))) (*.f32 n1_i normAngle)))))
72.6%
(*.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)))
61.8%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 normAngle n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
33.2%
(*.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
56.5%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
✓42.2%
(*.f32 u n1_i)
83.4%
(*.f32 normAngle (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
✓45.7%
n0_i
Compiler

Compiled 755 to 509 computations (32.6% saved)

localize455.0ms (2.9%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 #s(literal 1 binary32) u)
✓cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
cost-diff64
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓cost-diff64
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
cost-diff0
(sin.f32 (*.f32 normAngle u))
cost-diff0
(sin.f32 normAngle)
✓cost-diff0
(/.f32 n1_i (sin.f32 normAngle))
✓cost-diff0
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
cost-diff0
(sin.f32 normAngle)
✓cost-diff0
(*.f32 u normAngle)
✓cost-diff0
(*.f32 n1_i (*.f32 u normAngle))
✓cost-diff0
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
✓cost-diff-3136
(+.f32 n0_i (*.f32 u n1_i))
cost-diff0
(*.f32 u n1_i)
✓cost-diff-3136
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))
cost-diff0
(*.f32 n1_i #s(literal 1/6 binary32))
cost-diff0
(*.f32 n0_i #s(literal 1/3 binary32))
✓cost-diff0
(*.f32 normAngle normAngle)
✓accuracy99.9%
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓accuracy99.7%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
accuracy93.4%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy100.0%
(sin.f32 normAngle)
accuracy99.9%
(sin.f32 (*.f32 normAngle u))
✓accuracy99.9%
(/.f32 n1_i (sin.f32 normAngle))
✓accuracy94.2%
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
✓accuracy100.0%
(*.f32 u normAngle)
accuracy100.0%
(sin.f32 normAngle)
✓accuracy99.7%
(*.f32 n1_i (*.f32 u normAngle))
✓accuracy61.7%
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
accuracy100.0%
(*.f32 u n1_i)
✓accuracy99.9%
(+.f32 n0_i (*.f32 u n1_i))
✓accuracy99.7%
(*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)))
✓accuracy99.6%
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))
accuracy99.1%
(*.f32 n1_i #s(literal 1/6 binary32))
accuracy99.0%
(*.f32 n0_i #s(literal 1/3 binary32))
Rules
1422×unsub-neg
986×fma-neg
914×sub-neg
800×distribute-lft-neg-in
796×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041838
197818
2225806
3524806
41402806
52413806
64431806
76512806
87999806
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))))
n0_i
(*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)))
u
(+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))
n1_i
(-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 normAngle normAngle)
normAngle
(+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 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 u n1_i))
n0_i
(*.f32 u n1_i)
u
n1_i
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u normAngle))
n1_i
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
normAngle
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
u
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i
Outputs
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.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 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))))
(fma.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)) n0_i)
(fma.f32 u (-.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n1_i) n0_i) n0_i)
(fma.f32 u (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
n0_i
(*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)))
(*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)))
(*.f32 u (-.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n1_i) n0_i))
(*.f32 u (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))
u
(+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))
(+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))
(-.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n1_i) n0_i)
(-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i)
n1_i
(-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(-.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (neg.f32 n0_i))
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))
(*.f32 normAngle normAngle)
normAngle
(+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(*.f32 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 u n1_i))
(fma.f32 u n1_i n0_i)
n0_i
(*.f32 u n1_i)
u
n1_i
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i))
(*.f32 n1_i (*.f32 u normAngle))
(*.f32 u (*.f32 n1_i normAngle))
n1_i
(*.f32 u normAngle)
u
normAngle
(sin.f32 normAngle)
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
normAngle
(sin.f32 (*.f32 normAngle u))
(sin.f32 (*.f32 u normAngle))
(*.f32 normAngle u)
(*.f32 u normAngle)
u
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i
Results
206.0ms249×0valid
9.0ms5×5exit
1.0ms2×1valid
Compiler

Compiled 222 to 34 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-mult: 83.0ms (71.8% of total)
...c/correct-round.rkt:121:19: 9.0ms (7.8% of total)
ival-add: 7.0ms (6.1% of total)
ival-sin: 7.0ms (6.1% of total)
ival-div: 5.0ms (4.3% of total)
ival-sub: 3.0ms (2.6% of total)
backward-pass: 2.0ms (1.7% of total)
const: 0.0ms (0% of total)

series60.0ms (0.4%)

Counts
12 → 376
Calls
Call 1
Inputs
#<alt (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))>
#<alt (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)))>
#<alt (+.f32 n0_i (*.f32 u n1_i))>
#<alt (/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (*.f32 u normAngle))>
#<alt (*.f32 u normAngle)>
#<alt (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))>
#<alt (/.f32 n1_i (sin.f32 normAngle))>
#<alt (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)>
#<alt (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))>
#<alt (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)>
#<alt (*.f32 normAngle normAngle)>
Outputs
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))>
#<alt (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n0_i)) (*.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n0_i)) (*.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (*.f32 n0_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n0_i)) (*.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n0_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n0_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n0_i (+.f32 (*.f32 #s(literal -1/3 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))) n0_i)))))>
#<alt (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) n1_i))))>
#<alt (*.f32 n1_i (+.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) n1_i))))>
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#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))))>
#<alt (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (*.f32 u (+.f32 (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32)))) (sin.f32 normAngle))) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (*.f32 n1_i u)>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (+.f32 (*.f32 n1_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
#<alt (pow.f32 normAngle #s(literal 2 binary32))>
Calls

99 calls:

TimeVariablePointExpression
28.0ms
u
@inf
(+ (* (- 1 u) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
1.0ms
normAngle
@0
(+ (* (- 1 u) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
0.0ms
normAngle
@0
(* (/ n1_i (sin normAngle)) (sin (* normAngle u)))
0.0ms
normAngle
@0
(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)
0.0ms
u
@0
(+ (* (- 1 u) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

rewrite141.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
309×log1p-expm1-u
309×expm1-log1p-u
304×add-cube-cbrt
302×add-exp-log
301×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040374
1701370
Stop Event
1×node limit
Counts
12 → 264
Calls
Call 1
Inputs
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i)))
(+.f32 n0_i (*.f32 u n1_i))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i (*.f32 u normAngle))
(*.f32 u normAngle)
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(/.f32 n1_i (sin.f32 normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 normAngle normAngle)
Outputs
(+.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))
(+.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (pow.f32 normAngle #s(literal 2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (+.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32)))) (-.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (pow.f32 normAngle #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (pow.f32 normAngle #s(literal 2 binary32)))))))
(pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (pow.f32 normAngle #s(literal 2 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))))
(exp.f32 (log.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))))
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(fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))
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(pow.f32 (cbrt.f32 (*.f32 normAngle u)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 normAngle u)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 u) normAngle))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 normAngle u))))
(cbrt.f32 (pow.f32 (*.f32 normAngle u) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 normAngle u)))
(log1p.f32 (expm1.f32 (*.f32 normAngle u)))
(exp.f32 (log.f32 (*.f32 normAngle u)))
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle u)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))) #s(literal 1 binary32))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 n1_i (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle u))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) (pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))))
(exp.f32 (log.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 n1_i (sin.f32 normAngle))) (sqrt.f32 (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 n1_i (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 n1_i (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 n1_i) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 n1_i) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 n1_i) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 n1_i) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 n1_i) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 n1_i) #s(literal 1 binary32)) (/.f32 (sqrt.f32 n1_i) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 n1_i) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 n1_i) (cbrt.f32 (sin.f32 normAngle))))
(pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 n1_i (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 n1_i (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 n1_i (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 n1_i (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 n1_i (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 n1_i (sin.f32 normAngle))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32))
(pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 1 binary32) u)) n0_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(cbrt.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(log1p.f32 (expm1.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(exp.f32 (log.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(exp.f32 (*.f32 (log.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(*.f32 #s(literal 1 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(*.f32 (sqrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) (sqrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))))
(cbrt.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(log1p.f32 (expm1.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(exp.f32 (log.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) #s(literal 1 binary32)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) #s(literal 1 binary32))
(pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 1 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(sqrt.f32 (pow.f32 normAngle #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(exp.f32 (log.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 normAngle) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1 binary32)))

simplify261.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1320×associate-*r*
1226×associate-*l*
1004×fma-define
688×*-commutative
490×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087329229
1230727759
Stop Event
1×node limit
Counts
640 → 492
Calls
Call 1
Inputs
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))
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(cbrt.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
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(log1p.f32 (expm1.f32 (*.f32 normAngle u)))
(exp.f32 (log.f32 (*.f32 normAngle u)))
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle u)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))) #s(literal 1 binary32))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 n1_i (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle u))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) (pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))))
(exp.f32 (log.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 1 binary32))
(*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (sqrt.f32 (/.f32 n1_i (sin.f32 normAngle))) (sqrt.f32 (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 n1_i (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 n1_i (cbrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 n1_i) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 n1_i) (sin.f32 normAngle)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 n1_i) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 n1_i) #s(literal 2 binary32)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 n1_i) (sqrt.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (sqrt.f32 n1_i) #s(literal 1 binary32)) (/.f32 (sqrt.f32 n1_i) (sin.f32 normAngle)))
(*.f32 (/.f32 (sqrt.f32 n1_i) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 n1_i) (cbrt.f32 (sin.f32 normAngle))))
(pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 n1_i (sin.f32 normAngle))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 n1_i (sin.f32 normAngle)))))
(cbrt.f32 (pow.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 n1_i (sin.f32 normAngle))))
(log1p.f32 (expm1.f32 (/.f32 n1_i (sin.f32 normAngle))))
(exp.f32 (log.f32 (/.f32 n1_i (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 n1_i (sin.f32 normAngle))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32))
(pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 1 binary32) u)) n0_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(cbrt.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(log1p.f32 (expm1.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(exp.f32 (log.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(exp.f32 (*.f32 (log.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(*.f32 #s(literal 1 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(*.f32 (sqrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) (sqrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))))
(cbrt.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(log1p.f32 (expm1.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(exp.f32 (log.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(exp.f32 (*.f32 (log.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) #s(literal 1 binary32)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) #s(literal 1 binary32))
(pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 1 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(sqrt.f32 (pow.f32 normAngle #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(exp.f32 (log.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 normAngle) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1 binary32)))
Outputs
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) n1_i)))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #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 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) n1_i)))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #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 #s(literal 1/6 binary32) n1_i) (*.f32 #s(literal 1/3 binary32) n0_i)))
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) n1_i)))
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(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n1_i (*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
(pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 1 binary32))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(pow.f32 (cbrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) #s(literal 3 binary32))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(pow.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(pow.f32 (sqrt.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) #s(literal 2 binary32))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(sqrt.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))
(fabs.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(log.f32 (exp.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(cbrt.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 3 binary32)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(expm1.f32 (log1p.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(expm1.f32 (log1p.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(expm1.f32 (log1p.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(log1p.f32 (expm1.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(exp.f32 (log.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(exp.f32 (*.f32 (log.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) #s(literal 1 binary32)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (sqrt.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 1 binary32))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(pow.f32 (cbrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 3 binary32))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(pow.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(pow.f32 (sqrt.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 2 binary32))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(sqrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)))
(fabs.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(log.f32 (pow.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(cbrt.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(expm1.f32 (log1p.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(log1p.f32 (expm1.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(exp.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(exp.f32 (*.f32 (log.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 1 binary32)))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(pow.f32 (pow.f32 (cbrt.f32 normAngle) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 normAngle #s(literal 2 binary32))
(sqrt.f32 (pow.f32 normAngle #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32)))))
(pow.f32 normAngle #s(literal 2 binary32))
(cbrt.f32 (pow.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(literal 3 binary32)))
(pow.f32 normAngle #s(literal 2 binary32))
(cbrt.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
(expm1.f32 (log1p.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
(exp.f32 (log.f32 (pow.f32 normAngle #s(literal 2 binary32))))
(pow.f32 normAngle #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 normAngle) #s(literal 2 binary32)))
(pow.f32 normAngle #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 (pow.f32 normAngle #s(literal 2 binary32))) #s(literal 1 binary32)))
(pow.f32 normAngle #s(literal 2 binary32))

eval88.0ms (0.6%)

Compiler

Compiled 14331 to 2792 computations (80.5% saved)

prune203.0ms (1.3%)

Pruning

27 alts after pruning (20 fresh and 7 done)

PrunedKeptTotal
New7208728
Fresh41216
Picked235
Done145
Total72727754
Accuracy
100.0%
Counts
754 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
82.5%
(fma.f32 u n1_i n0_i)
97.3%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
✓72.7%
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
44.1%
(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
41.7%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 u normAngle))))
96.1%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
97.2%
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
97.5%
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
✓98.4%
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))))
✓82.4%
(+.f32 n0_i (*.f32 u n1_i))
83.2%
(+.f32 n0_i (*.f32 n1_i (+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))))
✓83.5%
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
41.0%
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 normAngle u))
✓41.7%
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
72.6%
(*.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)))
61.8%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 normAngle n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
41.6%
(*.f32 (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle u)))
33.2%
(*.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
56.5%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
83.2%
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 u (sin.f32 normAngle))))))
✓42.2%
(*.f32 u n1_i)
41.2%
(*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))
95.9%
(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
82.3%
(*.f32 n1_i (+.f32 u (/.f32 n0_i n1_i)))
82.1%
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 u n0_i))))
✓45.7%
n0_i
Compiler

Compiled 1257 to 474 computations (62.3% saved)

regimes218.0ms (1.4%)

Counts
61 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(+.f32 n0_i (*.f32 u n1_i))
(*.f32 n1_i (+.f32 u (/.f32 n0_i n1_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 u n0_i))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))))
(fma.f32 u n1_i n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 normAngle u))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(*.f32 normAngle (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 n1_i (+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i #s(literal 1 binary32)))))
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
(+.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 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle u)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 normAngle u))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 u normAngle))))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 normAngle n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (+.f32 (*.f32 (*.f32 normAngle u) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
(*.f32 (/.f32 #s(literal 1 binary32) normAngle) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 u (sin.f32 normAngle))))))
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 u n1_i))
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 u n1_i))
(+.f32 n0_i (*.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))))
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (*.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
(/.f32 (*.f32 n0_i (+.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) n0_i))) (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 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))))) (*.f32 n1_i normAngle)))))
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))))
(*.f32 n1_i (+.f32 (*.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))))) (*.f32 n1_i normAngle)))))
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
Outputs
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
Calls

5 calls:

122.0ms
(+.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))
39.0ms
n0_i
19.0ms
u
18.0ms
normAngle
16.0ms
n1_i
Results
AccuracySegmentsBranch
98.9%1normAngle
98.9%1u
98.9%1n0_i
98.9%1n1_i
98.9%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)

regimes56.0ms (0.4%)

Counts
44 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(+.f32 n0_i (*.f32 u n1_i))
(*.f32 n1_i (+.f32 u (/.f32 n0_i n1_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 u n0_i))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))))
(fma.f32 u n1_i n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 normAngle u))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(*.f32 normAngle (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 n1_i (+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i #s(literal 1 binary32)))))
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (sin.f32 normAngle))
(+.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 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle u)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 normAngle u))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 u normAngle))))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 normAngle n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (+.f32 (*.f32 (*.f32 normAngle u) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
(*.f32 (/.f32 #s(literal 1 binary32) normAngle) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(*.f32 u (+.f32 (*.f32 #s(literal -1 binary32) n0_i) (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 u (sin.f32 normAngle))))))
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 u n1_i))
Outputs
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i #s(literal 1 binary32)))))
Calls

4 calls:

15.0ms
normAngle
13.0ms
n0_i
13.0ms
n1_i
12.0ms
u
Results
AccuracySegmentsBranch
98.7%1normAngle
98.7%1u
98.7%1n0_i
98.7%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes38.0ms (0.2%)

Counts
20 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 u n1_i)
(+.f32 n0_i (*.f32 u n1_i))
(*.f32 n1_i (+.f32 u (/.f32 n0_i n1_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 n1_i (/.f32 u n0_i))))
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))))
(fma.f32 u n1_i n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 normAngle u))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 n0_i (*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(+.f32 n0_i (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(*.f32 normAngle (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 n1_i u) (sin.f32 normAngle))))
(+.f32 n0_i (*.f32 n1_i (+.f32 u (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)))))
Outputs
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))))
Calls

4 calls:

18.0ms
n0_i
6.0ms
normAngle
6.0ms
u
6.0ms
n1_i
Results
AccuracySegmentsBranch
98.4%1normAngle
98.4%1u
98.4%1n1_i
98.4%1n0_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes15.0ms (0.1%)

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

4 calls:

5.0ms
n1_i
3.0ms
n0_i
3.0ms
u
3.0ms
normAngle
Results
AccuracySegmentsBranch
97.5%1normAngle
97.5%1u
97.5%1n0_i
97.5%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes16.0ms (0.1%)

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

4 calls:

9.0ms
normAngle
2.0ms
u
2.0ms
n1_i
2.0ms
n0_i
Results
AccuracySegmentsBranch
82.4%1normAngle
82.4%1u
82.4%1n0_i
82.4%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes7.0ms (0%)

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

4 calls:

2.0ms
n0_i
2.0ms
u
2.0ms
n1_i
2.0ms
normAngle
Results
AccuracySegmentsBranch
45.7%1normAngle
54.3%2u
63.3%3n1_i
66.1%3n0_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
n1_i
1.0ms
n0_i
1.0ms
u
Results
AccuracySegmentsBranch
45.7%1u
45.7%1n1_i
45.7%1n0_i
Compiler

Compiled 15 to 12 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.4106772093809146e-20
2.992980178699804e-20
0.0ms
-2.4726463373516878e-18
-1.510163171617902e-18
Compiler

Compiled 36 to 23 computations (36.1% saved)

simplify23.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
36×*-commutative
32×+-commutative
26×neg-mul-1
20×sub-neg
18×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051305
190305
2111305
3123305
4134305
5154305
6182305
7186305
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i #s(literal 1 binary32)))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.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 n1_i n0_i)))
(+.f32 n0_i (*.f32 u n1_i))
(if (<=.f32 n0_i #s(literal -9671407/4835703278458516698824704 binary32)) n0_i (if (<=.f32 n0_i #s(literal 1547425/77371252455336267181195264 binary32)) (*.f32 u n1_i) n0_i))
n0_i
Outputs
(fma.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n0_i #s(literal 1 binary32)))))
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.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 n1_i n0_i)))
(+.f32 n0_i (*.f32 u n1_i))
(if (<=.f32 n0_i #s(literal -9671407/4835703278458516698824704 binary32)) n0_i (if (<=.f32 n0_i #s(literal 1547425/77371252455336267181195264 binary32)) (*.f32 u n1_i) n0_i))
n0_i

soundness2.2s (14.2%)

Rules
1510×fma-neg
1464×fma-define
1090×fma-define
1012×times-frac
960×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040637
1740605
0119038712
1300936429
044518
1759514
0131750996
1383848899
01151608
13041396
28281320
324121170
445951170
577891170
01513110468
13930105571
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 912 to 302 computations (66.9% saved)

preprocess39.0ms (0.3%)

Remove

(abs normAngle)

Compiler

Compiled 372 to 204 computations (45.2% saved)

end0.0ms (0%)

Profiling

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