Simplification of discriminant from scale-rotated-ellipse

Time bar (total: 33.8s)

analyze903.0ms (2.7%)

Memory
-8.4MiB live, 280.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
25%24.9%74.8%0.2%0%0%0%6
25%24.9%74.8%0.2%0%0%0%7
25%24.9%74.8%0.2%0%0%0%8
25%24.9%74.8%0.2%0%0%0%9
37.5%37.4%62.3%0.2%0%0%0%10
56.3%56.1%43.6%0.2%0%0%0%11
56.3%56.1%43.6%0.2%0%0%0%12
Compiler

Compiled 226 to 81 computations (64.2% saved)

sample32.7s (96.8%)

Memory
18.1MiB live, 7 551.6MiB allocated
Samples
5.4s1 505×3valid-sollya
4.2s2 141×2valid-sollya
4.0s2 141×2valid-baseline
3.9s1 505×3valid-baseline
2.3s1 505×3valid-rival
2.3s1 611×1valid-baseline
2.2s2 973×0valid-sollya
2.1s1 611×1valid-sollya
2.0s2 141×2valid-rival
1.1s1 611×1valid-rival
791.0ms2 973×0valid-baseline
775.0ms2 973×0valid-rival
219.0ms26×4valid-sollya
94.0ms26×4valid-baseline
77.0ms26×4valid-rival
Bogosity

preprocess130.0ms (0.4%)

Memory
-9.8MiB live, 55.1MiB allocated
Algorithm
egg-herbie
Rules
630×associate-/r*
506×fma-define
302×distribute-lft-neg-in
284×associate-*l*
279×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03499230
19689062
238078930
Stop Event
node limit
Calls
Call 1
Inputs
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(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (neg.f64 b) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (neg.f64 b) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 b) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 b) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 angle) #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 (neg.f64 angle) #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 angle) #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 (neg.f64 angle) #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 (neg.f64 angle) #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 (neg.f64 angle) #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 (neg.f64 angle) #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 (neg.f64 angle) #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (neg.f64 x-scale)) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (neg.f64 x-scale)) y-scale)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) (neg.f64 x-scale)) (neg.f64 x-scale))) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) (neg.f64 y-scale)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) (neg.f64 y-scale))) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) (neg.f64 y-scale)) (neg.f64 y-scale))))
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(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 angle #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 a #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 a #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 angle #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 a #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 a #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 angle (sin.f64 (*.f64 (/.f64 a #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 a #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 angle (cos.f64 (*.f64 (/.f64 a #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 a #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 x-scale #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) a) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 x-scale #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) a) y-scale)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x-scale (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) a) a)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x-scale (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 y-scale #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) a) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 y-scale #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) a)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y-scale (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y-scale (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) a) a)))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 angle #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 angle #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 angle (cos.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 angle (sin.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x-scale #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) b) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x-scale #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) b) y-scale)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x-scale (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) b) b)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x-scale (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y-scale #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) b) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y-scale #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) b)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 y-scale (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 y-scale (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) b) b)))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) angle) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) angle) y-scale)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) angle) angle)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) x-scale) angle) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) x-scale) angle)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) angle) angle)))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) y-scale) x-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) y-scale) x-scale)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)))
Outputs
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)))
(-.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))))) (*.f64 y-scale x-scale)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))))) (*.f64 y-scale x-scale))) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 y-scale #s(literal 2 binary64))))))
(fma.f64 (*.f64 (cos.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64))) (/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64))))) (*.f64 x-scale y-scale))) (*.f64 (cos.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64))) (/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64))))) (*.f64 x-scale y-scale))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64))) (pow.f64 y-scale #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) #s(literal -4 binary64))))
(fma.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 y-scale #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) #s(literal -4 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) x-scale)) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) x-scale)))) y-scale) y-scale))
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(fma.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) y-scale) #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) y-scale) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) #s(literal -4 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (-.f64 (pow.f64 y-scale #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (/.f64 (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) x-scale)) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (-.f64 (pow.f64 y-scale #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (/.f64 (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) x-scale)))) b) b))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) angle) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) angle) y-scale)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) angle) angle)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)))
(-.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 x-scale #s(literal 180 binary64)))) (cos.f64 (*.f64 (PI.f64) (/.f64 x-scale #s(literal 180 binary64)))))) (*.f64 y-scale angle)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 x-scale #s(literal 180 binary64)))) (cos.f64 (*.f64 (PI.f64) (/.f64 x-scale #s(literal 180 binary64)))))) (*.f64 y-scale angle))) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (/.f64 x-scale #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (PI.f64) (/.f64 x-scale #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 angle #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 x-scale #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 x-scale #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 y-scale #s(literal 2 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) (/.f64 (cos.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64)))) (*.f64 angle y-scale))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) (/.f64 (cos.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64)))) (*.f64 angle y-scale))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 y-scale #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 angle #s(literal 2 binary64))) #s(literal -4 binary64))))
(fma.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 y-scale #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 angle #s(literal 2 binary64))) #s(literal -4 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (sin.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) (/.f64 (cos.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64)))) angle)) (*.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (sin.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) (/.f64 (cos.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64)))) angle)))) y-scale) y-scale))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) x-scale) angle) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) x-scale) angle)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) angle) angle)))
(-.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (*.f64 y-scale (PI.f64)) #s(literal 180 binary64))) (cos.f64 (/.f64 (*.f64 y-scale (PI.f64)) #s(literal 180 binary64))))) (*.f64 angle x-scale)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (*.f64 y-scale (PI.f64)) #s(literal 180 binary64))) (cos.f64 (/.f64 (*.f64 y-scale (PI.f64)) #s(literal 180 binary64))))) (*.f64 angle x-scale))) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 (*.f64 y-scale (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (/.f64 (*.f64 y-scale (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 (*.f64 y-scale (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (/.f64 (*.f64 y-scale (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64))) (pow.f64 angle #s(literal 2 binary64))))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64)))) (cos.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) (*.f64 angle x-scale))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64)))) (cos.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) (*.f64 angle x-scale))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 angle #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) #s(literal -4 binary64))))
(fma.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 angle #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) #s(literal -4 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (sin.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) (/.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64)))) x-scale)) (*.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (sin.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) (/.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64)))) x-scale)))) angle) angle))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) y-scale) x-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) y-scale) x-scale)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)))
(-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))))) (*.f64 y-scale x-scale)) (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))))) (*.f64 y-scale x-scale))) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 y-scale #s(literal 2 binary64))))))
(fma.f64 (*.f64 (cos.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (*.f64 x-scale y-scale))) (*.f64 (cos.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (*.f64 x-scale y-scale))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64))) (pow.f64 y-scale #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (/.f64 (*.f64 angle (PI.f64)) #s(literal 180 binary64)))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) #s(literal -4 binary64))))
(fma.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 y-scale #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) #s(literal -4 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) x-scale)) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) x-scale)))) y-scale) y-scale))
Symmetry

(abs a)

(abs b)

(abs angle)

(abs x-scale)

(abs y-scale)

Compiler

Compiled 114 to 39 computations (65.8% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
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StatusAccuracyProgram
25.9%
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)))
Compiler

Compiled 228 to 78 computations (65.8% saved)

simplify10.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
egg-herbie
Rules
26×*-commutative
20×+-commutative
18×sub-neg
16×neg-sub0
16×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048421
167421
288421
3108421
4131421
5154421
6174421
7184421
8188421
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)))
Outputs
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale)) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)))

soundness1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Stop Event
fuel
Compiler

Compiled 114 to 39 computations (65.8% saved)

preprocess45.0ms (0.1%)

Memory
-8.3MiB live, 38.8MiB allocated
Remove

(abs y-scale)

(abs x-scale)

(abs angle)

(abs b)

(abs a)

Compiler

Compiled 2 736 to 936 computations (65.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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