Metrics for Simplification of discriminant from scale-rotated-ellipse

analyze616.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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 115 to 40 computations (65.2% saved)

sample39.5s (97.6%)

Results

1.6s	3011×	0	valid-sollya
888.0ms	3011×	0	valid
2.4s	2119×	2	valid
1.5s	2119×	2	valid-sollya
1.3s	1588×	1	valid
1.2s	1588×	1	valid-sollya
1.2s	1532×	3	valid-sollya
2.8s	1532×	3	valid
22.0ms	6×	4	valid
6.0ms	6×	4	valid-sollya

Sollya timings

Total time spent in Sollya 5.5s

Bogosity

preprocess226.0ms (0.6%)

Algorithm

1×	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)

Iter	Nodes	Cost
0	349	9230
1	968	9062
2	3807	8930

Stop Event

1×	node limit

Calls

Call 1

Inputs
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(-.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 (.f64 (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (neg.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 (neg.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 (neg.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 (neg.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 (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))))
(neg.f64 (-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (neg.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 (neg.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 (neg.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 (neg.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))))
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(neg.f64 (-.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))))
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(-.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))))
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(-.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)))
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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%)

Compiler: Compiled 5 to 5 computations (0% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.5%	(-.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)))

Status

Accuracy

Program

27.5%

(-.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)

simplify16.0ms (0%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative`
20×	`+-commutative`
18×	`sub-neg`
16×	`neg-sub0`
16×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	421
1	67	421
2	88	421
3	108	421
4	131	421
5	154	421
6	174	421
7	184	421
8	188	421

Stop Event

1×

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%)

Stop Event

1×

fuel

Compiler

Compiled 114 to 39 computations (65.8% saved)

preprocess90.0ms (0.2%)

Remove

(abs y-scale)

(abs x-scale)

(abs angle)

(abs b)

(abs a)

Compiler

Compiled 2736 to 936 computations (65.8% saved)

Simplification of discriminant from scale-rotated-ellipse

analyze616.0ms (1.5%)

sample39.5s (97.6%)

preprocess226.0ms (0.6%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify16.0ms (0%)

soundness1.0ms (0%)

preprocess90.0ms (0.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	48	421
1	67	421
2	88	421
3	108	421
4	131	421
5	154	421
6	174	421
7	184	421
8	188	421

Iter	Nodes	Cost
0	48	421
1	67	421
2	88	421
3	108	421
4	131	421
5	154	421
6	174	421
7	184	421
8	188	421

Iter	Nodes	Cost
0	48	421
1	67	421
2	88	421
3	108	421
4	131	421
5	154	421
6	174	421
7	184	421
8	188	421