Metrics for b from scale-rotated-ellipse

analyze3.8s (0.8%)

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
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
0%	0%	99.8%	0.2%	0%	0%	0%	11
0%	0%	99.8%	0.2%	0%	0%	0%	12

Compiler

Compiled 189 to 57 computations (69.8% saved)

sample8.2min (98.9%)

Results

34.3s	3964×	3	valid-rival
13.5s	2693×	3	exit-sollya
11.0s	2122×	2	valid-rival
4.8s	1714×	2	valid-sollya
19.6s	1328×	4	valid-rival
5.6s	1271×	3	valid-sollya
5.8s	1159×	4	exit-sollya
3.0s	801×	1	valid-rival
1.3s	739×	1	valid-sollya
2.0s	408×	2	exit-sollya
1.6s	169×	4	valid-sollya
310.0ms	62×	1	exit-sollya
38.0ms	41×	0	valid-rival
30.0ms	40×	0	valid-sollya
5.0ms	1×	0	exit-sollya

Bogosity

preprocess943.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

659×	`associate-l`
645×	`associate-r`
569×	`fma-define`
391×	`*-commutative`
280×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	565	15778
1	1547	14720
2	7036	14720

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) #s(literal 2 binary64)))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) #s(literal 2 binary64)))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b (neg.f64 a)) (.f64 b (neg.f64 (neg.f64 a))))) (pow.f64 (.f64 x-scale y-scale) #s(literal 2 binary64)))) (.f64 (.f64 b (neg.f64 a)) (.f64 b (neg.f64 (neg.f64 a))))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b (neg.f64 a)) (.f64 b (neg.f64 (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 (neg.f64 b) a) (.f64 (neg.f64 b) (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 b) a) (.f64 (neg.f64 b) (neg.f64 a)))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 (neg.f64 b) a) (.f64 (neg.f64 b) (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) #s(literal 2 binary64)))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 (neg.f64 x-scale) y-scale) #s(literal 2 binary64)))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 (neg.f64 x-scale) y-scale) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 angle a) (.f64 angle (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) #s(literal 2 binary64)))) (.f64 (.f64 angle a) (.f64 angle (neg.f64 a)))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 angle a) (.f64 angle (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x-scale a) (.f64 x-scale (neg.f64 a)))) (pow.f64 (.f64 b y-scale) #s(literal 2 binary64)))) (.f64 (.f64 x-scale a) (.f64 x-scale (neg.f64 a)))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x-scale a) (.f64 x-scale (neg.f64 a)))) (pow.f64 (*.f64 b y-scale) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 y-scale a) (.f64 y-scale (neg.f64 a)))) (pow.f64 (.f64 x-scale b) #s(literal 2 binary64)))) (.f64 (.f64 y-scale a) (.f64 y-scale (neg.f64 a)))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 y-scale a) (.f64 y-scale (neg.f64 a)))) (pow.f64 (*.f64 x-scale b) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 angle y-scale) #s(literal 2 binary64)))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 angle y-scale) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale angle) #s(literal 2 binary64)))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale angle) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 y-scale x-scale) #s(literal 2 binary64)))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 y-scale x-scale) #s(literal 2 binary64))))

Outputs
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(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 y-scale x-scale) #s(literal 2 binary64)))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 y-scale x-scale) #s(literal 2 binary64))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 b (.f64 a (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) #s(literal 2 binary64)))) (.f64 b (.f64 a (.f64 b (neg.f64 a)))))) (+.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))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (-.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)))))) (.f64 x-scale y-scale)) #s(literal 2 binary64)) (pow.f64 (-.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 (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 2 binary64))))))))) (.f64 #s(literal 4 binary64) (.f64 b (.f64 a (.f64 b (neg.f64 a)))))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (.f64 (.f64 b (.f64 (pow.f64 a #s(literal 2 binary64)) (neg.f64 b))) (.f64 (.f64 #s(literal 8 binary64) (.f64 b (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (neg.f64 b)) (pow.f64 (.f64 x-scale y-scale) #s(literal 2 binary64))))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (cos.f64 (.f64 angle (/.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 (cos.f64 (.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) (hypot.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 angle (/.f64 (PI.f64) #s(literal 180 binary64)))) (cos.f64 (.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) (.f64 x-scale y-scale))) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (cos.f64 (.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 y-scale #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64)))))))))) (.f64 #s(literal -4 binary64) (.f64 b (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (neg.f64 b)) (pow.f64 (.f64 x-scale y-scale) #s(literal 2 binary64))))))

Symmetry

(abs a)

(abs b)

(abs x-scale)

(abs y-scale)

Compiler

Compiled 188 to 56 computations (70.2% 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
	0.0%	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) #s(literal 2 binary64)))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))

Status

Accuracy

Program

0.0%

(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))

Compiler

Compiled 376 to 112 computations (70.2% saved)

simplify200.0ms (0%)

Algorithm

1×	egg-herbie

Rules

293×	`unsub-neg`
210×	`distribute-lft-neg-in`
189×	`neg-mul-1`
107×	`neg-sub0`
86×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	721
1	100	721
2	128	721
3	165	713
4	221	705
5	296	705
6	404	705
7	520	705
8	695	705
9	959	705
10	1184	705
11	1295	705
12	1395	705
13	1511	705
14	1604	705
15	1657	705
16	1694	705
17	1716	705
18	1730	705
19	1736	705
20	1737	705

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))

Outputs
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) #s(literal 2 binary64)))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.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) #s(literal 2 binary64)))))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 (.f64 b a) (.f64 b (neg.f64 a))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) #s(literal 2 binary64))))) (-.f64 (+.f64 (/.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.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)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))) x-scale) y-scale) #s(literal 2 binary64)))))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))
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soundness2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 184 to 53 computations (71.2% saved)

preprocess260.0ms (0.1%)

Remove

(abs y-scale)

(abs x-scale)

(abs b)

(abs a)

Compiler

Compiled 3688 to 1066 computations (71.1% saved)

b from scale-rotated-ellipse

analyze3.8s (0.8%)

sample8.2min (98.9%)

preprocess943.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify200.0ms (0%)

soundness2.0ms (0%)

preprocess260.0ms (0.1%)

end0.0ms (0%)

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