Details

analyze14.1s (22%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
6.2%	93.5%	0.2%	11
6.2%	93.5%	0.2%	12
7.8%	92%	0.2%	13
8.6%	91.2%	0.2%	14

Compiler

Compiled 115 to 84 computations (27% saved)

sample45.6s (71.4%)

Results

11.9s	1501×	body	4096	valid
8.6s	1733×	body	2048	valid
6.7s	845×	body	4096	invalid
5.8s	1146×	body	2048	invalid
3.0s	903×	body	1024	valid
2.7s	3499×	body	128	valid
2.2s	657×	body	1024	invalid
1.3s	78×	body	8192	valid
892.0ms	397×	body	512	valid
729.0ms	1036×	body	128	invalid
689.0ms	286×	body	512	invalid
568.0ms	35×	body	8192	invalid
230.0ms	145×	body	256	valid
186.0ms	135×	body	256	invalid

preprocess48.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

533×	`rule-a-*a1_binary64`
533×	`rule-a--a0_binary64`
533×	`rule-a-+a0_binary64`
533×	`rule-a-/a1_binary64`
507×	`rule-/ab-*+aa/1/2b_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	1925
1	2000	1925
0	5	5

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

Inputs
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 angle 2))) (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 angle 2))) (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 angle (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 angle (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 a 180) (PI.f64)))) 2)) y-scale) y-scale)))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 x-scale 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) a) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 x-scale 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) a) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) a) a)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 y-scale 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) a) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 y-scale 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) a)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) a) a)))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 angle 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 angle 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2) (pow.f64 (.f64 angle (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2) (pow.f64 (.f64 angle (sin.f64 (*.f64 (/.f64 b 180) (PI.f64)))) 2)) y-scale) y-scale)))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 x-scale 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) b) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 x-scale 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) b) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) b) b)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 x-scale (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 y-scale 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) b) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 y-scale 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) b)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 y-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 y-scale (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) b) b)))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) angle) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) angle) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2)) angle) angle)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 x-scale 180) (PI.f64)))) 2)) y-scale) y-scale)))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) x-scale) angle) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) x-scale) angle)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 y-scale 180) (PI.f64)))) 2)) angle) angle)))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) y-scale) x-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) y-scale) x-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)))

Outputs
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)))
(-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (.f64 x-scale y-scale)) (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (.f64 x-scale y-scale))) (.f64 (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale))) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)))
(-.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 a a) (.f64 b b))))) (.f64 x-scale y-scale)) (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 a a) (.f64 b b))))) (.f64 x-scale y-scale))) (.f64 (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale))) (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 angle 2))) (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 angle 2))) (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 angle (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 angle (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 a 180) (PI.f64)))) 2)) y-scale) y-scale)))
(-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 angle angle))) (sin.f64 (.f64 (PI.f64) (/.f64 a 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 a 180)))) (.f64 x-scale y-scale)) (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 angle angle))) (sin.f64 (.f64 (PI.f64) (/.f64 a 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 a 180)))) (.f64 x-scale y-scale))) (.f64 (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 angle (sin.f64 (.f64 (PI.f64) (/.f64 a 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 a 180)))) 2)) (.f64 x-scale x-scale))) (/.f64 (+.f64 (pow.f64 (.f64 angle (cos.f64 (.f64 (PI.f64) (/.f64 a 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 a 180)))) 2)) (*.f64 y-scale y-scale))))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 x-scale 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) a) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 x-scale 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) a) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) a) a)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)))
(-.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 x-scale x-scale))))) (.f64 a y-scale)) (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 x-scale x-scale))))) (.f64 a y-scale))) (.f64 (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) 2)) (.f64 a a))) (/.f64 (+.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) 2)) (*.f64 y-scale y-scale))))
(-.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 x-scale x-scale)))) a)) y-scale) (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 x-scale x-scale)))) a)) y-scale)) (.f64 (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) 2)) (.f64 a a))) (/.f64 (+.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) 2)) (*.f64 y-scale y-scale))))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 y-scale 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) a) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 y-scale 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) a)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) a) a)))
(-.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 y-scale y-scale))))) (.f64 x-scale a)) (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 y-scale y-scale))))) (.f64 x-scale a))) (.f64 (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) y-scale) 2)) (.f64 x-scale x-scale))) (/.f64 (+.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) y-scale) 2)) (*.f64 a a))))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 angle 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 angle 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2) (pow.f64 (.f64 angle (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2) (pow.f64 (.f64 angle (sin.f64 (*.f64 (/.f64 b 180) (PI.f64)))) 2)) y-scale) y-scale)))
(-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 -2 (-.f64 (.f64 a a) (.f64 angle angle))) (sin.f64 (.f64 (PI.f64) (/.f64 b 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 b 180)))) (.f64 x-scale y-scale)) (/.f64 (.f64 (.f64 (.f64 -2 (-.f64 (.f64 a a) (.f64 angle angle))) (sin.f64 (.f64 (PI.f64) (/.f64 b 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 b 180)))) (.f64 x-scale y-scale))) (.f64 (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 b 180)))) 2) (pow.f64 (.f64 angle (cos.f64 (.f64 (PI.f64) (/.f64 b 180)))) 2)) (.f64 x-scale x-scale))) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 b 180)))) 2) (pow.f64 (.f64 angle (sin.f64 (.f64 (PI.f64) (/.f64 b 180)))) 2)) (*.f64 y-scale y-scale))))
(-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 angle angle) (.f64 a a))) (sin.f64 (.f64 (PI.f64) (/.f64 b 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 b 180)))) (.f64 x-scale y-scale)) (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 angle angle) (.f64 a a))) (sin.f64 (.f64 (PI.f64) (/.f64 b 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 b 180)))) (.f64 x-scale y-scale))) (.f64 (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 b 180)))) 2) (pow.f64 (.f64 angle (cos.f64 (.f64 (PI.f64) (/.f64 b 180)))) 2)) (.f64 x-scale x-scale))) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 b 180)))) 2) (pow.f64 (.f64 angle (sin.f64 (.f64 (PI.f64) (/.f64 b 180)))) 2)) (*.f64 y-scale y-scale))))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 x-scale 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) b) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 x-scale 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) b) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) b) b)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 x-scale (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)))
(-.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 x-scale x-scale) (.f64 a a))))) (.f64 b y-scale)) (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 x-scale x-scale) (.f64 a a))))) (.f64 b y-scale))) (.f64 (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) 2)) (.f64 b b))) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) 2)) (*.f64 y-scale y-scale))))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 y-scale 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) b) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 y-scale 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) b)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 y-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 y-scale (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) b) b)))
(-.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 y-scale y-scale) (.f64 a a))))) (.f64 x-scale b)) (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 y-scale y-scale) (.f64 a a))))) (.f64 x-scale b))) (.f64 (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) y-scale) 2)) (.f64 x-scale x-scale))) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) y-scale) 2)) (*.f64 b b))))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) angle) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) angle) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2)) angle) angle)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 x-scale 180) (PI.f64)))) 2)) y-scale) y-scale)))
(-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) (.f64 angle y-scale)) (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) (.f64 angle y-scale))) (.f64 (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) 2)) (.f64 angle angle))) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) 2)) (*.f64 y-scale y-scale))))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) x-scale) angle) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) x-scale) angle)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 y-scale 180) (PI.f64)))) 2)) angle) angle)))
(-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) (.f64 x-scale angle)) (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) (.f64 x-scale angle))) (.f64 (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (.f64 x-scale x-scale))) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (*.f64 angle angle))))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) y-scale) x-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) y-scale) x-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)))
(-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (.f64 x-scale y-scale)) (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (.f64 x-scale y-scale))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale)))))

Compiler

Compiled 114 to 83 computations (27.2% saved)

simplify23.0ms (0%)

Algorithm

1×	egg-herbie

Rules

330×	`rule-/ab-*+aa/1/2b_binary64`
313×	`rule-a-*a1_binary64`
313×	`rule-a--a0_binary64`
313×	`rule-a-+a0_binary64`
304×	`rule-a-/a1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	175
1	296	172
2	1538	169

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)) (*.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)))

Outputs
(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)))
(-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (.f64 x-scale y-scale)) (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (.f64 x-scale y-scale))) (.f64 (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale))) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) x-scale))) (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) 2)) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 x-scale y-scale)))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) 4))) y-scale)
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) y-scale))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale)))) x-scale) y-scale)

prune12.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

38.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	39.0b	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) y-scale))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale)))) x-scale) y-scale)
	42.8b	(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)))

Status

Error

Program

▶

39.0b

(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (*.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (*.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) y-scale))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (*.f64 4 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale)))) x-scale) y-scale)

42.8b

(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)) (*.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)))

Compiler

Compiled 667 to 465 computations (30.3% saved)

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	9.1b	(/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) y-scale)
✓	28.9b	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	29.2b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	30.6b	(-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) y-scale))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale))))

series121.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
17.0ms	angle	@	inf	(-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) y-scale))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale))))
14.0ms	b	@	0	(-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) y-scale))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale))))
11.0ms	b	@	-inf	(-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) y-scale))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale))))
10.0ms	angle	@	0	(-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) y-scale))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale))))
7.0ms	a	@	inf	(/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) y-scale)

rewrite53.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

458×	`rules-30_binary64`
458×	`rules-31_binary64`
458×	`rules-32_binary64`
458×	`rules-33_binary64`
436×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	211
1	1053	211

Stop Event

1×	node limit

Counts

4 → 55

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) y-scale))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale))))
(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
(/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) y-scale)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale)))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale)))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale)))) (fma.f64 (neg.f64 (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale))) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale)))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale)))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale))))) (cbrt.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale)))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale)))))) (cbrt.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale)))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale)))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale))))) (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale)))) (.f64 (/.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale))) (cbrt.f64 (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale)))) (cbrt.f64 (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale))) (sqrt.f64 (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 1/2 y-scale))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale)) (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale))) (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) y-scale))))))))

simplify130.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

530×	`rule-a-*a1_binary64`
530×	`rule-a--a0_binary64`
530×	`rule-a-+a0_binary64`
530×	`rule-a-/a1_binary64`
454×	`rule-/ab-*+aa/1/2b_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	312	11013
1	2414	10918

Stop Event

1×	node limit

Counts

187 → 117

Calls

Call 1

Inputs
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(.f64 (-.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 x-scale y-scale))) (.f64 4 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale)) (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale))))) (pow.f64 b 2))
(.f64 (-.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 x-scale y-scale))) (.f64 4 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale)) (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale))))) (pow.f64 b 2))
(.f64 (-.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 x-scale y-scale))) (.f64 4 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale)) (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale))))) (pow.f64 b 2))
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(.f64 (-.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 x-scale y-scale))) (.f64 4 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale)) (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale))))) (pow.f64 b 2))
(.f64 (-.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 x-scale y-scale))) (.f64 4 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale)) (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale))))) (pow.f64 b 2))
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(.f64 (-.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 x-scale y-scale))) (.f64 4 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale)) (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale))))) (pow.f64 b 2))
(.f64 (-.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 x-scale y-scale))) (.f64 4 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale)) (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale))))) (pow.f64 b 2))
(.f64 (-.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 x-scale y-scale))) (.f64 4 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale)) (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale))))) (pow.f64 b 2))
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(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 b 4) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 y-scale x-scale))) (.f64 (pow.f64 a 2) (-.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 b 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 x-scale y-scale))) (.f64 4 (+.f64 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 x-scale y-scale)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 b 2)) (.f64 x-scale y-scale))))))) (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 b 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 y-scale x-scale))))
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(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))

Outputs
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(fma.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (.f64 b b) y-scale)) (.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (*.f64 a a) y-scale))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale)) (.f64 -2 (/.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale)))
(fma.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (.f64 b b) y-scale)) (.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (*.f64 a a) y-scale))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale)) (.f64 -2 (/.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale)))
(fma.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (.f64 b b) y-scale)) (.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (*.f64 a a) y-scale))))
(.f64 -2 (/.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (*.f64 a a) y-scale)))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale)) (.f64 -2 (/.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale)))
(fma.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (.f64 b b) y-scale)) (.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (*.f64 a a) y-scale))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale)) (.f64 -2 (/.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale)))
(fma.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (.f64 b b) y-scale)) (.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (*.f64 a a) y-scale))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale)) (.f64 -2 (/.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale)))
(fma.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (.f64 b b) y-scale)) (.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (*.f64 a a) y-scale))))
(.f64 -2 (/.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (*.f64 a a) y-scale)))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale)) (.f64 -2 (/.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale)))
(fma.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (.f64 b b) y-scale)) (.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (*.f64 a a) y-scale))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale)) (.f64 -2 (/.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale)))
(fma.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (.f64 b b) y-scale)) (.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (*.f64 a a) y-scale))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale)) (.f64 -2 (/.f64 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale)))
(fma.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (.f64 b b) y-scale)) (.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (*.f64 a a) y-scale))))
(.f64 1/90 (/.f64 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))) y-scale))
(/.f64 1/90 (/.f64 y-scale (.f64 angle (.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))))))
(.f64 1/90 (.f64 (.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) (/.f64 angle y-scale)))
(+.f64 (.f64 -1/17496000 (/.f64 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))) y-scale)) (.f64 1/90 (/.f64 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))) y-scale)))
(fma.f64 -1/17496000 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 angle 3) y-scale)) (/.f64 1/90 (/.f64 y-scale (.f64 angle (.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))))))
(fma.f64 -1/17496000 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 angle 3) y-scale)) (.f64 1/90 (.f64 (.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) (/.f64 angle y-scale))))
(+.f64 (.f64 -1/17496000 (/.f64 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))) y-scale)) (+.f64 (.f64 1/11337408000000 (/.f64 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))) y-scale)) (.f64 1/90 (/.f64 (.f64 angle (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))) y-scale))))
(fma.f64 -1/17496000 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 angle 3) y-scale)) (fma.f64 1/11337408000000 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (pow.f64 (PI.f64) 5)) (/.f64 (pow.f64 angle 5) y-scale)) (/.f64 1/90 (/.f64 y-scale (.f64 angle (.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))))))))
(fma.f64 -1/17496000 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 angle 3) y-scale)) (fma.f64 1/11337408000000 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (pow.f64 (PI.f64) 5)) (/.f64 (pow.f64 angle 5) y-scale)) (.f64 1/90 (.f64 (.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) (/.f64 angle y-scale)))))
(+.f64 (.f64 -1/17496000 (/.f64 (.f64 (pow.f64 angle 3) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 3))) y-scale)) (+.f64 (.f64 -1/15427944806400000000 (/.f64 (.f64 (pow.f64 angle 7) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 7))) y-scale)) (+.f64 (.f64 1/11337408000000 (/.f64 (.f64 (pow.f64 angle 5) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (pow.f64 (PI.f64) 5))) y-scale)) (.f64 1/90 (/.f64 (.f64 angle (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (PI.f64))) y-scale)))))
(fma.f64 -1/17496000 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 angle 3) y-scale)) (fma.f64 -1/15427944806400000000 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (pow.f64 (PI.f64) 7)) (/.f64 (pow.f64 angle 7) y-scale)) (fma.f64 1/11337408000000 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (pow.f64 (PI.f64) 5)) (/.f64 (pow.f64 angle 5) y-scale)) (/.f64 1/90 (/.f64 y-scale (.f64 angle (.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))))))))
(fma.f64 -1/17496000 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 angle 3) y-scale)) (fma.f64 -1/15427944806400000000 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (pow.f64 (PI.f64) 7)) (/.f64 (pow.f64 angle 7) y-scale)) (fma.f64 1/11337408000000 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (pow.f64 (PI.f64) 5)) (/.f64 (pow.f64 angle 5) y-scale)) (.f64 1/90 (.f64 (.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) (/.f64 angle y-scale))))))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))
(.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) y-scale))
(.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) y-scale)))

prune1.3s (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	235	8	243
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	237	8	245

Error

23.0b

Counts

245 → 8

Alt Table

Status	Error	Program
	40.7b	(/.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 (fma.f64 b b (neg.f64 (.f64 a a))) y-scale))) (neg.f64 (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale))))) x-scale) y-scale)
	29.7b	(/.f64 (/.f64 (.f64 (-.f64 (.f64 -8 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (/.f64 (.f64 a a) (.f64 x-scale y-scale)))) (.f64 4 (/.f64 (+.f64 (.f64 (.f64 a a) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 (.f64 a a) (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4))) (.f64 x-scale y-scale)))) (*.f64 b b)) x-scale) y-scale)
▶	29.7b	(/.f64 (/.f64 (.f64 -4 (.f64 (.f64 b b) (/.f64 (.f64 a a) (*.f64 x-scale y-scale)))) x-scale) y-scale)
	30.0b	(/.f64 (/.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 x-scale y-scale))) x-scale) y-scale)
	29.7b	(/.f64 (/.f64 (.f64 (.f64 a a) (-.f64 (.f64 -8 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (/.f64 (.f64 b b) (.f64 x-scale y-scale)))) (.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (.f64 b b)) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (.f64 b b))) (*.f64 x-scale y-scale))))) x-scale) y-scale)
	31.2b	(/.f64 (/.f64 0 x-scale) y-scale)
	40.4b	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) x-scale)) (.f64 4 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 a 2) (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)) (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2)))) x-scale))) y-scale) x-scale) y-scale)
	40.2b	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) y-scale))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cbrt.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) (cbrt.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale)))) x-scale) y-scale)

Compiler

Compiled 29610 to 18598 computations (37.2% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.8b	(/.f64 (.f64 -4 (.f64 (.f64 b b) (/.f64 (.f64 a a) (*.f64 x-scale y-scale)))) x-scale)
✓	6.4b	(/.f64 (/.f64 (.f64 -4 (.f64 (.f64 b b) (/.f64 (.f64 a a) (*.f64 x-scale y-scale)))) x-scale) y-scale)
✓	12.4b	(/.f64 (.f64 a a) (.f64 x-scale y-scale))
✓	17.5b	(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 x-scale y-scale)))

series51.0ms (0.1%)

Counts

4 → 180

Calls

45 calls:

Time	Variable		Expression
18.0ms	a	@	(/.f64 (.f64 -4 (.f64 (.f64 b b) (/.f64 (.f64 a a) (*.f64 x-scale y-scale)))) x-scale)
4.0ms	x-scale	@	(/.f64 (/.f64 (.f64 -4 (.f64 (.f64 b b) (/.f64 (.f64 a a) (*.f64 x-scale y-scale)))) x-scale) y-scale)
2.0ms	b	@	(/.f64 (/.f64 (.f64 -4 (.f64 (.f64 b b) (/.f64 (.f64 a a) (*.f64 x-scale y-scale)))) x-scale) y-scale)
1.0ms	y-scale	@	(/.f64 (/.f64 (.f64 -4 (.f64 (.f64 b b) (/.f64 (.f64 a a) (*.f64 x-scale y-scale)))) x-scale) y-scale)
1.0ms	a	@	(/.f64 (/.f64 (.f64 -4 (.f64 (.f64 b b) (/.f64 (.f64 a a) (*.f64 x-scale y-scale)))) x-scale) y-scale)

rewrite46.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

166×	`add-sqr-sqrt_binary64`
161×	`pow1_binary64`
161×	`rules-30_binary64`
161×	`rules-31_binary64`
161×	`rules-32_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	372	64

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

Inputs
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 x-scale y-scale)))
(/.f64 (.f64 a a) (.f64 x-scale y-scale))
(/.f64 (/.f64 (.f64 -4 (.f64 (.f64 b b) (/.f64 (.f64 a a) (*.f64 x-scale y-scale)))) x-scale) y-scale)
(/.f64 (.f64 -4 (.f64 (.f64 b b) (/.f64 (.f64 a a) (*.f64 x-scale y-scale)))) x-scale)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 0 (.f64 x-scale (/.f64 y-scale (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (.f64 (.f64 b b) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (.f64 (/.f64 (.f64 a (/.f64 a x-scale)) y-scale) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 0 (.f64 x-scale (/.f64 y-scale (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (.f64 (.f64 b b) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (.f64 (/.f64 (.f64 a (/.f64 a x-scale)) y-scale) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))) (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b b) (.f64 x-scale (/.f64 y-scale (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b b) (/.f64 y-scale (.f64 a (/.f64 a x-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a a) (/.f64 (.f64 x-scale y-scale) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) 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(/.f64 -4 (/.f64 (.f64 x-scale y-scale) (pow.f64 (.f64 a b) 2))) x-scale)) (sqrt.f64 (/.f64 (/.f64 -4 (/.f64 (.f64 x-scale y-scale) (pow.f64 (.f64 a b) 2))) x-scale)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) -8) (/.f64 1/2 x-scale) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 -4 (/.f64 (.f64 x-scale y-scale) (pow.f64 (.f64 a b) 2))) x-scale)))))))

simplify63.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

464×	`rule-/a*bc-//abc_binary64`
442×	`rule-/abc-b/ac_binary64`
266×	`rule-/a-bc-/nega-cb_binary64`
258×	`rule-/ab-*+aa/1/2b_binary64`
243×	`rule-*a/cb-/a/bc_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	3384
1	213	3384
2	951	3384

Stop Event

1×	node limit

Counts

354 → 186

Calls

Call 1

Inputs
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 x-scale y-scale))
(/.f64 (pow.f64 a 2) (*.f64 y-scale x-scale))
(/.f64 (pow.f64 a 2) (*.f64 y-scale x-scale))
(/.f64 (pow.f64 a 2) (*.f64 y-scale x-scale))
(/.f64 (pow.f64 a 2) (*.f64 y-scale x-scale))
(/.f64 (pow.f64 a 2) (*.f64 y-scale x-scale))
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(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
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(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
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(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 y-scale (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
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(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 y-scale (pow.f64 x-scale 2))))
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(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 y-scale (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 y-scale (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 y-scale (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 y-scale (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 y-scale (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 y-scale (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 y-scale (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 y-scale (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 y-scale (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 y-scale (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 y-scale (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 y-scale (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 y-scale (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 y-scale (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) y-scale)))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) y-scale)))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) y-scale)))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) y-scale)))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) y-scale)))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) y-scale)))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) y-scale)))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) y-scale)))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) y-scale)))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) y-scale)))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) y-scale)))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) y-scale)))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y-scale (.f64 x-scale x-scale))))
(.f64 -4 (.f64 (.f64 a a) (/.f64 (.f64 b b) (.f64 y-scale (.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)))

prune574.0ms (0.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	172	14	186
Fresh	6	1	7
Picked	1	0	1
Done	0	0	0
Total	179	15	194

Error

8.5b

Counts

194 → 15

Alt Table

Status	Error	Program
	17.6b	(.f64 (/.f64 -4 x-scale) (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) (*.f64 x-scale y-scale)) y-scale))
	23.4b	(/.f64 (/.f64 (.f64 -4 (.f64 (.f64 a a) (.f64 b (/.f64 b (*.f64 y-scale x-scale))))) x-scale) y-scale)
▶	15.0b	(.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 -4 (.f64 x-scale y-scale)))
	21.3b	(/.f64 (/.f64 (.f64 -4 (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) y-scale) x-scale)) x-scale) y-scale)
	26.0b	(cbrt.f64 (pow.f64 (/.f64 (/.f64 -4 (/.f64 (.f64 x-scale y-scale) (pow.f64 (.f64 a b) 2))) (*.f64 x-scale y-scale)) 3))
	40.5b	(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
	24.4b	(/.f64 (/.f64 (.f64 -4 (.f64 (.f64 b b) (.f64 a (/.f64 (/.f64 a x-scale) y-scale)))) x-scale) y-scale)
	28.6b	(/.f64 (/.f64 (.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (.f64 a b) 2) (*.f64 x-scale y-scale))) 2)) x-scale) y-scale)
	17.8b	(/.f64 (/.f64 (.f64 -4 (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (cbrt.f64 (.f64 x-scale y-scale)) 2)) (cbrt.f64 (.f64 x-scale y-scale)))) x-scale) y-scale)
	19.3b	(/.f64 (/.f64 (.f64 -4 (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) x-scale) y-scale)) x-scale) y-scale)
	31.2b	(/.f64 (/.f64 0 x-scale) y-scale)
	26.8b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -4 (/.f64 (.f64 x-scale y-scale) (pow.f64 (.f64 a b) 2))) x-scale) 3)) y-scale)
	27.7b	(/.f64 (.f64 (.f64 (/.f64 (.f64 a (/.f64 a x-scale)) y-scale) -4) (/.f64 (.f64 b b) x-scale)) y-scale)
	26.7b	(.f64 -4 (/.f64 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)) y-scale))
	27.3b	(.f64 (.f64 (/.f64 (.f64 a (/.f64 a x-scale)) y-scale) -4) (/.f64 (.f64 b b) (*.f64 x-scale y-scale)))

Compiler

Compiled 4442 to 2215 computations (50.1% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 a b) 2)
✓	0.9b	(/.f64 -4 (*.f64 x-scale y-scale))
✓	9.0b	(.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 -4 (.f64 x-scale y-scale)))
✓	13.2b	(/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))

series22.0ms (0%)

Counts

4 → 132

Calls

36 calls:

Time	Variable		Expression
3.0ms	a	@	(pow.f64 (*.f64 a b) 2)
1.0ms	a	@	(.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 -4 (.f64 x-scale y-scale)))
1.0ms	b	@	(.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 -4 (.f64 x-scale y-scale)))
1.0ms	a	@	(/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))
1.0ms	x-scale	@	(.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 -4 (.f64 x-scale y-scale)))

rewrite67.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

254×	`rule-nega-/a-1_binary64`
254×	`rule-nega-*a-1_binary64`
150×	`add-sqr-sqrt_binary64`
143×	`pow1_binary64`
143×	`rules-30_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	344	49
2	4611	49

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

Inputs
(/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))
(.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 -4 (.f64 x-scale y-scale)))
(/.f64 -4 (*.f64 x-scale y-scale))
(pow.f64 (*.f64 a b) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))) (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a b) (/.f64 (.f64 a b) (.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a b) 2) (/.f64 1 (.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (/.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale 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(pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 a b) (sqrt.f64 (.f64 x-scale y-scale))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 3) (pow.f64 (.f64 x-scale y-scale) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))) 2) (cbrt.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 a b) (sqrt.f64 (.f64 x-scale y-scale))) (/.f64 (.f64 a b) (sqrt.f64 (.f64 x-scale y-scale))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 (/.f64 -4 x-scale) y-scale)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 (/.f64 -4 x-scale) y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 (/.f64 -4 x-scale) y-scale)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 (/.f64 -4 x-scale) y-scale)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 (/.f64 -4 x-scale) y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 (/.f64 -4 x-scale) y-scale)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) -4) x-scale) y-scale)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) -4) y-scale) x-scale)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) -4) (pow.f64 (cbrt.f64 (.f64 x-scale y-scale)) 2)) (cbrt.f64 (.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) -4) (sqrt.f64 (.f64 x-scale y-scale))) (sqrt.f64 (.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale (/.f64 y-scale -4))) (.f64 x-scale y-scale))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) x-scale) (.f64 x-scale (/.f64 y-scale -4))) y-scale)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -4 x-scale) y-scale) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 -4 x-scale) y-scale))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -4 x-scale) y-scale))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -4 x-scale) y-scale) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (/.f64 -4 x-scale) y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -4 x-scale) y-scale))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (/.f64 -4 x-scale) y-scale) (/.f64 (/.f64 -4 x-scale) y-scale)) (/.f64 (/.f64 -4 x-scale) y-scale))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 1 (.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -4 x-scale) y-scale) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 -4 x-scale) y-scale))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (/.f64 -4 x-scale) y-scale)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 -4 x-scale) y-scale)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -4 x-scale) y-scale)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -4 x-scale) y-scale)) 2) (cbrt.f64 (/.f64 (/.f64 -4 x-scale) y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 -4 x-scale) y-scale)) (sqrt.f64 (/.f64 (/.f64 -4 x-scale) y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (.f64 x-scale y-scale)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -8 (/.f64 1/2 (.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4 x-scale) (/.f64 1 y-scale))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (/.f64 -4 x-scale) y-scale) (/.f64 (/.f64 -4 x-scale) y-scale)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 -4 x-scale) (/.f64 -4 x-scale)) (/.f64 1/2 y-scale))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -4 x-scale) y-scale) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 -4 x-scale) y-scale) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 -4 x-scale) y-scale)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 -4 x-scale) y-scale)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (/.f64 -4 x-scale) y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 -4 x-scale) y-scale) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (/.f64 -4 x-scale) y-scale))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 -4 x-scale) y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -4 x-scale) y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 -4 x-scale) y-scale) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 -4 x-scale) y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 -4 x-scale) y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 -4 x-scale) y-scale) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -4 x-scale) y-scale)) 2) (cbrt.f64 (/.f64 (/.f64 -4 x-scale) y-scale)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (/.f64 -4 x-scale) y-scale)) (sqrt.f64 (/.f64 (/.f64 -4 x-scale) y-scale)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -8 (/.f64 1/2 (.f64 x-scale y-scale)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 -4 x-scale) y-scale)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 a b) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 a b) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (.f64 a b) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (.f64 a b) 2)) (pow.f64 (.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 a b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (.f64 (.f64 a b) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 b (.f64 (.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a b) (.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (.f64 a b) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 a b)) (neg.f64 (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a a) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 b b) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (pow.f64 (.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (.f64 a b) (cbrt.f64 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (pow.f64 (cbrt.f64 (.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a b)) (.f64 (.f64 a b) (sqrt.f64 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (.f64 a b) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a b) (/.f64 1 (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (.f64 a b) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 3) (pow.f64 (.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (.f64 a b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a b) (.f64 a b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 a b) 2) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a a) (.f64 b b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (pow.f64 (cbrt.f64 (.f64 a b)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 a b))))))))

simplify82.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

897×	`rule-a-/a1_binary64`
339×	`rule-/a*bc-//abc_binary64`
313×	`rule-/abc-b/ac_binary64`
199×	`rule-/a-bc-/nega-cb_binary64`
188×	`rule-/ab-*+aa/1/2b_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	2292
1	164	2292
2	727	2292
3	4764	2292

Stop Event

1×	node limit

Counts

298 → 176

Calls

Call 1

Inputs
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
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(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
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(.f64 (.f64 b b) (/.f64 -4 (/.f64 (.f64 y-scale y-scale) (/.f64 (.f64 a a) (*.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 y-scale y-scale) (*.f64 x-scale x-scale))))
(.f64 (.f64 b b) (.f64 -4 (/.f64 (/.f64 (.f64 a a) (.f64 y-scale y-scale)) (.f64 x-scale x-scale))))
(.f64 (.f64 b b) (/.f64 -4 (/.f64 (.f64 y-scale y-scale) (/.f64 (.f64 a a) (*.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 y-scale y-scale) (*.f64 x-scale x-scale))))
(.f64 (.f64 b b) (.f64 -4 (/.f64 (/.f64 (.f64 a a) (.f64 y-scale y-scale)) (.f64 x-scale x-scale))))
(.f64 (.f64 b b) (/.f64 -4 (/.f64 (.f64 y-scale y-scale) (/.f64 (.f64 a a) (*.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 y-scale y-scale) (*.f64 x-scale x-scale))))
(.f64 (.f64 b b) (.f64 -4 (/.f64 (/.f64 (.f64 a a) (.f64 y-scale y-scale)) (.f64 x-scale x-scale))))
(.f64 (.f64 b b) (/.f64 -4 (/.f64 (.f64 y-scale y-scale) (/.f64 (.f64 a a) (*.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 y-scale y-scale) (*.f64 x-scale x-scale))))
(.f64 (.f64 b b) (.f64 -4 (/.f64 (/.f64 (.f64 a a) (.f64 y-scale y-scale)) (.f64 x-scale x-scale))))
(.f64 (.f64 b b) (/.f64 -4 (/.f64 (.f64 y-scale y-scale) (/.f64 (.f64 a a) (*.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 y-scale y-scale) (*.f64 x-scale x-scale))))
(.f64 (.f64 b b) (.f64 -4 (/.f64 (/.f64 (.f64 a a) (.f64 y-scale y-scale)) (.f64 x-scale x-scale))))
(.f64 (.f64 b b) (/.f64 -4 (/.f64 (.f64 y-scale y-scale) (/.f64 (.f64 a a) (*.f64 x-scale x-scale)))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 -4 (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 y-scale y-scale) (*.f64 x-scale x-scale))))
(.f64 (.f64 b b) (.f64 -4 (/.f64 (/.f64 (.f64 a a) (.f64 y-scale y-scale)) (.f64 x-scale x-scale))))
(.f64 (.f64 b b) (/.f64 -4 (/.f64 (.f64 y-scale y-scale) (/.f64 (.f64 a a) (*.f64 x-scale x-scale)))))
(/.f64 -4 (*.f64 y-scale x-scale))
(/.f64 -4 (*.f64 x-scale y-scale))
(/.f64 (/.f64 -4 x-scale) y-scale)
(/.f64 -4 (*.f64 y-scale x-scale))
(/.f64 -4 (*.f64 x-scale y-scale))
(/.f64 (/.f64 -4 x-scale) y-scale)
(/.f64 -4 (*.f64 y-scale x-scale))
(/.f64 -4 (*.f64 x-scale y-scale))
(/.f64 (/.f64 -4 x-scale) y-scale)
(/.f64 -4 (*.f64 y-scale x-scale))
(/.f64 -4 (*.f64 x-scale y-scale))
(/.f64 (/.f64 -4 x-scale) y-scale)
(/.f64 -4 (*.f64 y-scale x-scale))
(/.f64 -4 (*.f64 x-scale y-scale))
(/.f64 (/.f64 -4 x-scale) y-scale)
(/.f64 -4 (*.f64 y-scale x-scale))
(/.f64 -4 (*.f64 x-scale y-scale))
(/.f64 (/.f64 -4 x-scale) y-scale)
(/.f64 -4 (*.f64 y-scale x-scale))
(/.f64 -4 (*.f64 x-scale y-scale))
(/.f64 (/.f64 -4 x-scale) y-scale)
(/.f64 -4 (*.f64 y-scale x-scale))
(/.f64 -4 (*.f64 x-scale y-scale))
(/.f64 (/.f64 -4 x-scale) y-scale)
(/.f64 -4 (*.f64 y-scale x-scale))
(/.f64 -4 (*.f64 x-scale y-scale))
(/.f64 (/.f64 -4 x-scale) y-scale)
(/.f64 -4 (*.f64 y-scale x-scale))
(/.f64 -4 (*.f64 x-scale y-scale))
(/.f64 (/.f64 -4 x-scale) y-scale)
(/.f64 -4 (*.f64 y-scale x-scale))
(/.f64 -4 (*.f64 x-scale y-scale))
(/.f64 (/.f64 -4 x-scale) y-scale)
(/.f64 -4 (*.f64 y-scale x-scale))
(/.f64 -4 (*.f64 x-scale y-scale))
(/.f64 (/.f64 -4 x-scale) y-scale)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) a))
(.f64 a (.f64 a (*.f64 b b)))

prune379.0ms (0.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	171	5	176
Fresh	6	8	14
Picked	0	1	1
Done	0	0	0
Total	177	14	191

Error

6.4b

Counts

191 → 14

Alt Table

Status	Error	Program
	17.6b	(.f64 (/.f64 -4 x-scale) (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) (*.f64 x-scale y-scale)) y-scale))
	23.4b	(/.f64 (/.f64 (.f64 -4 (.f64 (.f64 a a) (.f64 b (/.f64 b (*.f64 y-scale x-scale))))) x-scale) y-scale)
	15.1b	(/.f64 (.f64 (pow.f64 (.f64 a b) 2) (/.f64 (/.f64 -4 x-scale) y-scale)) (*.f64 x-scale y-scale))
✓	15.0b	(.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 -4 (.f64 x-scale y-scale)))
	18.7b	(/.f64 (/.f64 (/.f64 -4 x-scale) y-scale) (/.f64 y-scale (/.f64 (pow.f64 (*.f64 a b) 2) x-scale)))
	19.3b	(/.f64 (/.f64 (.f64 -4 (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) x-scale) y-scale)) x-scale) y-scale)
	23.9b	(.f64 (/.f64 (.f64 (.f64 (.f64 a a) b) (/.f64 b y-scale)) x-scale) (/.f64 -4 (*.f64 x-scale y-scale)))
	24.4b	(/.f64 (/.f64 (.f64 -4 (.f64 (.f64 b b) (.f64 a (/.f64 (/.f64 a x-scale) y-scale)))) x-scale) y-scale)
	31.2b	(/.f64 (/.f64 0 x-scale) y-scale)
	38.4b	(.f64 (pow.f64 (/.f64 (.f64 a b) (sqrt.f64 (.f64 x-scale y-scale))) 2) (/.f64 -4 (.f64 x-scale y-scale)))
	27.7b	(/.f64 (.f64 (.f64 (/.f64 (.f64 a (/.f64 a x-scale)) y-scale) -4) (/.f64 (.f64 b b) x-scale)) y-scale)
	26.7b	(.f64 -4 (/.f64 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)) y-scale))
▶	9.7b	(.f64 (.f64 (.f64 a b) (/.f64 (.f64 a b) (.f64 x-scale y-scale))) (/.f64 -4 (.f64 x-scale y-scale)))
	27.3b	(.f64 (.f64 (/.f64 (.f64 a (/.f64 a x-scale)) y-scale) -4) (/.f64 (.f64 b b) (*.f64 x-scale y-scale)))

Compiler

Compiled 3896 to 2003 computations (48.6% saved)

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(/.f64 -4 (*.f64 x-scale y-scale))
✓	1.3b	(.f64 (.f64 a b) (/.f64 (.f64 a b) (.f64 x-scale y-scale)))
✓	9.0b	(.f64 (.f64 (.f64 a b) (/.f64 (.f64 a b) (.f64 x-scale y-scale))) (/.f64 -4 (.f64 x-scale y-scale)))
✓	10.8b	(/.f64 (.f64 a b) (.f64 x-scale y-scale))

series16.0ms (0%)

Counts

3 → 116

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	x-scale	@	-inf	(.f64 (.f64 (.f64 a b) (/.f64 (.f64 a b) (.f64 x-scale y-scale))) (/.f64 -4 (.f64 x-scale y-scale)))
1.0ms	a	@	inf	(/.f64 (.f64 a b) (.f64 x-scale y-scale))
1.0ms	x-scale	@	0	(/.f64 (.f64 a b) (.f64 x-scale y-scale))
1.0ms	a	@	0	(/.f64 (.f64 a b) (.f64 x-scale y-scale))
1.0ms	x-scale	@	inf	(/.f64 (.f64 a b) (.f64 x-scale y-scale))

rewrite64.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

250×	`rule-nega--0a_binary64`
250×	`rule-nega-/a-1_binary64`
250×	`rule-nega-*a-1_binary64`
141×	`add-sqr-sqrt_binary64`
136×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	317	45
2	4509	45

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

Inputs

(/.f64 (*.f64 a b) (*.f64 x-scale y-scale))

(*.f64 (*.f64 (*.f64 a b) (/.f64 (*.f64 a b) (*.f64 x-scale y-scale))) (/.f64 -4 (*.f64 x-scale y-scale)))

(*.f64 (*.f64 a b) (/.f64 (*.f64 a b) (*.f64 x-scale y-scale)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b (/.f64 a (*.f64 x-scale y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale))) (*.f64 b (/.f64 a (*.f64 x-scale y-scale)))) (*.f64 b (/.f64 a (*.f64 x-scale y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 b (*.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 a (*.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a b) (/.f64 1 (*.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 b (/.f64 a (*.f64 x-scale y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale)))) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale)))) 2) (cbrt.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a b)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) (*.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale)))) (sqrt.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a b)) (/.f64 (sqrt.f64 (*.f64 a b)) (*.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 x-scale y-scale)) (*.f64 b (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (+.f64 a a)) (/.f64 1/2 (*.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (*.f64 x-scale y-scale)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 b x-scale)) (/.f64 1 y-scale))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale))) (*.f64 b (/.f64 a (*.f64 x-scale y-scale)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a (/.f64 b x-scale)) (*.f64 a (/.f64 b x-scale))) (/.f64 1/2 y-scale))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (/.f64 a (*.f64 x-scale y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (/.f64 a (*.f64 x-scale y-scale))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 a b) 2) (*.f64 x-scale y-scale)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (*.f64 a b) 2) (*.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 a b) 2) (*.f64 x-scale y-scale)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 a b) 2) (*.f64 x-scale y-scale)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (pow.f64 (*.f64 a b) 2) (*.f64 x-scale y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 a b) 2) (*.f64 x-scale y-scale)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 (*.f64 a b) 2) (*.f64 x-scale y-scale)) (/.f64 (pow.f64 (*.f64 a b) 2) (*.f64 x-scale y-scale))) (/.f64 (pow.f64 (*.f64 a b) 2) (*.f64 x-scale y-scale)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a b) (*.f64 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x-scale y-scale))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 a b) 2) (*.f64 x-scale y-scale))))))))

simplify47.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

368×	`rule-/a*bc-//abc_binary64`
361×	`rule-/abc-b/ac_binary64`
220×	`rule-/a-bc-/nega-cb_binary64`
210×	`fma-neg_binary64`
205×	`rule-/ab-*+aa/1/2b_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	2168
1	171	2168
2	788	2168

Stop Event

1×	node limit

Counts

251 → 143

Calls

Call 1

Inputs
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
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(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
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(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
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(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
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(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
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(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))

Outputs
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(/.f64 (/.f64 (*.f64 a b) x-scale) y-scale)
(*.f64 (/.f64 a y-scale) (/.f64 b x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (/.f64 (*.f64 a b) x-scale) y-scale)
(*.f64 (/.f64 a y-scale) (/.f64 b x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (/.f64 (*.f64 a b) x-scale) y-scale)
(*.f64 (/.f64 a y-scale) (/.f64 b x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (/.f64 (*.f64 a b) x-scale) y-scale)
(*.f64 (/.f64 a y-scale) (/.f64 b x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (/.f64 (*.f64 a b) x-scale) y-scale)
(*.f64 (/.f64 a y-scale) (/.f64 b x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (/.f64 (*.f64 a b) x-scale) y-scale)
(*.f64 (/.f64 a y-scale) (/.f64 b x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (/.f64 (*.f64 a b) x-scale) y-scale)
(*.f64 (/.f64 a y-scale) (/.f64 b x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (/.f64 (*.f64 a b) x-scale) y-scale)
(*.f64 (/.f64 a y-scale) (/.f64 b x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (/.f64 (*.f64 a b) x-scale) y-scale)
(*.f64 (/.f64 a y-scale) (/.f64 b x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
(/.f64 (/.f64 (*.f64 a b) x-scale) y-scale)
(*.f64 (/.f64 a y-scale) (/.f64 b x-scale))
(/.f64 (.f64 a b) (.f64 y-scale x-scale))
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(/.f64 (.f64 a b) (.f64 y-scale x-scale))
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(/.f64 (.f64 a b) (.f64 y-scale x-scale))
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(/.f64 (.f64 a b) (.f64 y-scale x-scale))
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(/.f64 (.f64 a b) (.f64 y-scale x-scale))
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(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 x-scale y-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 y-scale x-scale))
(.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 y-scale x-scale)))
(.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a)))

prune457.0ms (0.7%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	179	16	195

Error

5.1b

Counts

195 → 16

Alt Table

Status	Error	Program
	17.6b	(.f64 (/.f64 -4 x-scale) (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) (*.f64 x-scale y-scale)) y-scale))
	23.4b	(/.f64 (/.f64 (.f64 -4 (.f64 (.f64 a a) (.f64 b (/.f64 b (*.f64 y-scale x-scale))))) x-scale) y-scale)
	14.5b	(.f64 (/.f64 (.f64 a b) (/.f64 y-scale (.f64 a (/.f64 b x-scale)))) (/.f64 -4 (.f64 x-scale y-scale)))
	15.1b	(/.f64 (.f64 (pow.f64 (.f64 a b) 2) (/.f64 (/.f64 -4 x-scale) y-scale)) (*.f64 x-scale y-scale))
✓	15.0b	(.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (/.f64 -4 (.f64 x-scale y-scale)))
	10.9b	(/.f64 (.f64 a b) (.f64 (.f64 y-scale (/.f64 x-scale (.f64 a b))) (*.f64 x-scale (/.f64 y-scale -4))))
	18.7b	(/.f64 (/.f64 (/.f64 -4 x-scale) y-scale) (/.f64 y-scale (/.f64 (pow.f64 (*.f64 a b) 2) x-scale)))
	19.3b	(/.f64 (/.f64 (.f64 -4 (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) x-scale) y-scale)) x-scale) y-scale)
	24.4b	(/.f64 (/.f64 (.f64 -4 (.f64 (.f64 b b) (.f64 a (/.f64 (/.f64 a x-scale) y-scale)))) x-scale) y-scale)
	18.5b	(.f64 (.f64 b (/.f64 b (/.f64 (.f64 x-scale (/.f64 y-scale a)) a))) (/.f64 -4 (.f64 x-scale y-scale)))
	27.7b	(/.f64 -4 (/.f64 (/.f64 (/.f64 (/.f64 (.f64 x-scale (.f64 x-scale (*.f64 y-scale y-scale))) b) b) a) a))
	38.4b	(.f64 (pow.f64 (/.f64 (.f64 a b) (sqrt.f64 (.f64 x-scale y-scale))) 2) (/.f64 -4 (.f64 x-scale y-scale)))
	27.7b	(/.f64 (.f64 (.f64 (/.f64 (.f64 a (/.f64 a x-scale)) y-scale) -4) (/.f64 (.f64 b b) x-scale)) y-scale)
	26.7b	(.f64 -4 (/.f64 (/.f64 (.f64 (.f64 a a) (.f64 b (/.f64 b x-scale))) (*.f64 y-scale x-scale)) y-scale))
✓	9.7b	(.f64 (.f64 (.f64 a b) (/.f64 (.f64 a b) (.f64 x-scale y-scale))) (/.f64 -4 (.f64 x-scale y-scale)))
	27.3b	(.f64 (.f64 (/.f64 (.f64 a (/.f64 a x-scale)) y-scale) -4) (/.f64 (.f64 b b) (*.f64 x-scale y-scale)))

Compiler

Compiled 3924 to 1631 computations (58.4% saved)

regimes379.0ms (0.6%)

Accuracy

Total -43.2b remaining (-511.5%)

Threshold costs -43.2b (-511.5%)

Counts

71 → 1

Compiler

Compiled 2878 to 1676 computations (41.8% saved)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 a b) (/.f64 (.f64 a b) (.f64 x-scale y-scale))) (/.f64 -4 (.f64 x-scale y-scale)))

Outputs
(.f64 (.f64 (.f64 a b) (/.f64 (.f64 a b) (.f64 x-scale y-scale))) (/.f64 -4 (.f64 x-scale y-scale)))

end149.0ms (0.2%)

Stop Event

1×

fuel

Compiler

Compiled 305 to 136 computations (55.4% saved)

Details

analyze14.1s (22%)

sample45.6s (71.4%)

preprocess48.0ms (0.1%)

simplify23.0ms (0%)

prune12.0ms (0%)

localize41.0ms (0.1%)

series121.0ms (0.2%)

rewrite53.0ms (0.1%)

simplify130.0ms (0.2%)

prune1.3s (2.1%)

localize10.0ms (0%)

series51.0ms (0.1%)

rewrite46.0ms (0.1%)

simplify63.0ms (0.1%)

prune574.0ms (0.9%)

localize10.0ms (0%)

series22.0ms (0%)

rewrite67.0ms (0.1%)

simplify82.0ms (0.1%)

prune379.0ms (0.6%)

localize8.0ms (0%)

series16.0ms (0%)

rewrite64.0ms (0.1%)

simplify47.0ms (0.1%)

prune457.0ms (0.7%)

regimes379.0ms (0.6%)

simplify1.0ms (0%)

end149.0ms (0.2%)

Profiling