Details

analyze12.8s (18.2%)

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)

sample46.1s (65.3%)

Results

12.2s	1471×	body	4096	valid
8.8s	1770×	body	2048	valid
6.9s	848×	body	4096	invalid
5.9s	1183×	body	2048	invalid
3.0s	918×	body	1024	valid
2.7s	3492×	body	128	valid
2.4s	690×	body	1024	invalid
1.1s	60×	body	8192	valid
851.0ms	394×	body	512	valid
673.0ms	996×	body	128	invalid
660.0ms	282×	body	512	invalid
500.0ms	29×	body	8192	invalid
214.0ms	151×	body	256	valid
181.0ms	133×	body	256	invalid

Compiler

Compiled 230 to 168 computations (27% saved)

preprocess57.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

432×	`fma-def_binary64`
225×	`distribute-neg-frac_binary64`
202×	`distribute-lft-in_binary64`
202×	`distribute-rgt-in_binary64`
193×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	1925
1	735	1903
2	2737	1903
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 y-scale x-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 y-scale x-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))))
(fma.f64 (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) y-scale) (/.f64 (.f64 (fma.f64 b b (.f64 a (neg.f64 a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) x-scale)) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) y-scale) (/.f64 (.f64 (fma.f64 b b (.f64 a (neg.f64 a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) x-scale)) (/.f64 (.f64 (.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)) -4) (+.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)))
(fma.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 y-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)) -4) (.f64 (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) (/.f64 (.f64 2 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) y-scale)) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) (/.f64 (.f64 2 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) 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 2 (.f64 (-.f64 (.f64 a a) (.f64 b b)) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))))) (.f64 y-scale x-scale)) (/.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (.f64 (-.f64 (.f64 a a) (.f64 b b)) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))))) (.f64 y-scale x-scale))) (.f64 4 (.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 (+.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)))))
(fma.f64 (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) y-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 a a) (.f64 b b)))) x-scale)) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) y-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 a a) (.f64 b b)))) x-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 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)) (.f64 x-scale x-scale)) -4)))
(-.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 y-scale x-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 y-scale x-scale))) (.f64 4 (.f64 (/.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)))))
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(fma.f64 (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 y-scale y-scale) (.f64 a a)))) x-scale)) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 y-scale y-scale) (.f64 a a)))) x-scale)) (.f64 (/.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 (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)) -4)))
(fma.f64 -4 (.f64 (/.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 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 y-scale y-scale) (.f64 a a)))) x-scale)) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 y-scale y-scale) (.f64 a a)))) x-scale))))
(-.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 y-scale angle)) (/.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 y-scale angle))) (.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))))
(fma.f64 (.f64 (/.f64 (.f64 (.f64 2 (fma.f64 b b (.f64 a (neg.f64 a)))) (sin.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) y-scale) (/.f64 (cos.f64 (.f64 (PI.f64) (/.f64 x-scale 180))) angle)) (.f64 (/.f64 (.f64 (.f64 2 (fma.f64 b b (.f64 a (neg.f64 a)))) (sin.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) y-scale) (/.f64 (cos.f64 (.f64 (PI.f64) (/.f64 x-scale 180))) angle)) (.f64 (/.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 (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)) -4)))
(fma.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 (PI.f64) x-scale) 180))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (.f64 (PI.f64) x-scale) 180))) 2)) (.f64 y-scale y-scale)) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 (PI.f64) x-scale) 180))) 2) (pow.f64 (.f64 b (cos.f64 (/.f64 (.f64 (PI.f64) x-scale) 180))) 2)) (.f64 angle angle)) -4) (.f64 (.f64 (/.f64 (.f64 2 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (sin.f64 (/.f64 (.f64 (PI.f64) x-scale) 180)))) y-scale) (/.f64 (cos.f64 (/.f64 (.f64 (PI.f64) x-scale) 180)) angle)) (.f64 (/.f64 (.f64 2 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (sin.f64 (/.f64 (.f64 (PI.f64) x-scale) 180)))) y-scale) (/.f64 (cos.f64 (/.f64 (.f64 (PI.f64) x-scale) 180)) angle))))
(-.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 2 (-.f64 (.f64 b b) (.f64 a a))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180))) (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180))))) (.f64 angle x-scale)) (/.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180))) (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180))))) (.f64 angle x-scale))) (.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))))
(fma.f64 (.f64 (/.f64 (.f64 (fma.f64 b b (.f64 a (neg.f64 a))) (.f64 2 (sin.f64 (/.f64 (.f64 (PI.f64) y-scale) 180)))) angle) (/.f64 (cos.f64 (/.f64 (.f64 (PI.f64) y-scale) 180)) x-scale)) (.f64 (/.f64 (.f64 (fma.f64 b b (.f64 a (neg.f64 a))) (.f64 2 (sin.f64 (/.f64 (.f64 (PI.f64) y-scale) 180)))) angle) (/.f64 (cos.f64 (/.f64 (.f64 (PI.f64) y-scale) 180)) x-scale)) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 (PI.f64) y-scale) 180))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (.f64 (PI.f64) y-scale) 180))) 2)) (.f64 angle angle)) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 (PI.f64) y-scale) 180))) 2) (pow.f64 (.f64 b (cos.f64 (/.f64 (.f64 (PI.f64) y-scale) 180))) 2)) (.f64 x-scale x-scale)) -4)))
(fma.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 y-scale (/.f64 180 (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 y-scale (/.f64 180 (PI.f64))))) 2)) (.f64 angle angle)) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (/.f64 y-scale (/.f64 180 (PI.f64))))) 2) (pow.f64 (.f64 b (cos.f64 (/.f64 y-scale (/.f64 180 (PI.f64))))) 2)) (.f64 x-scale x-scale)) -4) (.f64 (.f64 (/.f64 (cos.f64 (/.f64 y-scale (/.f64 180 (PI.f64)))) angle) (/.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (.f64 2 (sin.f64 (/.f64 y-scale (/.f64 180 (PI.f64)))))) x-scale)) (.f64 (/.f64 (cos.f64 (/.f64 y-scale (/.f64 180 (PI.f64)))) angle) (/.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (.f64 2 (sin.f64 (/.f64 y-scale (/.f64 180 (PI.f64)))))) x-scale))))
(-.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 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)) (.f64 y-scale y-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 x-scale x-scale)))))
(fma.f64 (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) y-scale) (/.f64 (.f64 (fma.f64 b b (.f64 a (neg.f64 a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) x-scale)) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) y-scale) (/.f64 (.f64 (fma.f64 b b (.f64 a (neg.f64 a))) (.f64 2 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) x-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 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)) (.f64 x-scale x-scale)) -4)))
(fma.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 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)) (.f64 x-scale x-scale)) -4) (.f64 (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) (/.f64 (.f64 2 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) y-scale)) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) (/.f64 (.f64 2 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))) y-scale))))

Compiler

Compiled 114 to 83 computations (27.2% saved)

simplify21.0ms (0%)

Algorithm

1×	egg-herbie

Rules

545×	`associate-/l/_binary64`
526×	`associate-/r/_binary64`
263×	`distribute-rgt-in_binary64`
260×	`distribute-lft-in_binary64`
157×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	175
1	104	173
2	339	173
3	1688	170

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

prune11.0ms (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

38.8b

Counts

3 → 2

Alt Table

Status	Error	Program
	46.2b	(fma.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 y-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)) -4) (.f64 (/.f64 (/.f64 (.f64 4 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))))) (.f64 y-scale (/.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))
▶	38.9b	(-.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

46.2b

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

▶

38.9b

(-.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 670 to 462 computations (31% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	10.5b	(.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))
✓	27.2b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	27.3b	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	29.5b	(-.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)))

series2.5s (3.6%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
197.0ms	angle	@	inf	(-.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)))
190.0ms	angle	@	-inf	(-.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)))
171.0ms	y-scale	@	inf	(-.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)))
167.0ms	y-scale	@	-inf	(-.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)))
162.0ms	x-scale	@	0	(-.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)))

rewrite56.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

457×	`pow1_binary64`
429×	`add-log-exp_binary64`
429×	`log1p-expm1-u_binary64`
429×	`expm1-log1p-u_binary64`
423×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	238
1	924	238

Stop Event

1×	node limit

Counts

4 → 40

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

simplify174.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

465×	`times-frac_binary64`
357×	`associate-/l*_binary64`
342×	`associate-r_binary64`
277×	`associate-/r*_binary64`
263×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	297	18027
1	1275	17004

Stop Event

1×	node limit

Counts

184 → 110

Calls

Call 1

Inputs
(-.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))))
(-.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4))) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))))))
(-.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4))) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))))))
(-.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4))) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))))))
(.f64 (-.f64 (.f64 4 (/.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 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (.f64 4 (/.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 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))) (pow.f64 b 4))
(-.f64 (.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 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4))) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (.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 (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 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))))))
(-.f64 (.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 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4))) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (.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 (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 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))))))
(-.f64 (.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 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4))) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (.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 (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 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))))))
(.f64 (-.f64 (.f64 4 (/.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 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (.f64 4 (/.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 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))) (pow.f64 b 4))
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Outputs
(-.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))))
(.f64 4 (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 y-scale y-scale)) (/.f64 (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 x-scale x-scale))) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 y-scale y-scale)) (/.f64 (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (*.f64 x-scale x-scale)))))
0
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(.f64 4 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 a 2)) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)))) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 4 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (/.f64 (.f64 (.f64 y-scale y-scale) (.f64 x-scale x-scale)) (fma.f64 (.f64 a a) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))))))
(.f64 4 (.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale))) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (*.f64 a a)))))
(.f64 4 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 a 2)) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)))) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 4 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (/.f64 (.f64 (.f64 y-scale y-scale) (.f64 x-scale x-scale)) (fma.f64 (.f64 a a) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))))))
(.f64 4 (.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale))) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (*.f64 a a)))))
(.f64 4 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 a 2)) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)))) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 4 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (/.f64 (.f64 (.f64 y-scale y-scale) (.f64 x-scale x-scale)) (fma.f64 (.f64 a a) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))))))
(.f64 4 (.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale))) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (*.f64 a a)))))
(.f64 4 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 a 2)) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)))) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 4 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (/.f64 (.f64 (.f64 y-scale y-scale) (.f64 x-scale x-scale)) (fma.f64 (.f64 a a) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))))))
(.f64 4 (.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale))) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (*.f64 a a)))))
(.f64 4 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 a 2)) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)))) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 4 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (/.f64 (.f64 (.f64 y-scale y-scale) (.f64 x-scale x-scale)) (fma.f64 (.f64 a a) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))))))
(.f64 4 (.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale))) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (*.f64 a a)))))
(.f64 4 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 a 2)) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)))) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 4 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (/.f64 (.f64 (.f64 y-scale y-scale) (.f64 x-scale x-scale)) (fma.f64 (.f64 a a) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))))))
(.f64 4 (.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale))) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (*.f64 a a)))))
(.f64 4 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 a 2)) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)))) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 4 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (/.f64 (.f64 (.f64 y-scale y-scale) (.f64 x-scale x-scale)) (fma.f64 (.f64 a a) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))))))
(.f64 4 (.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale))) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (*.f64 a a)))))
(.f64 4 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 a 2)) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)))) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))
(.f64 4 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (/.f64 (.f64 (.f64 y-scale y-scale) (.f64 x-scale x-scale)) (fma.f64 (.f64 a a) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))))))
(.f64 4 (.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale))) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (*.f64 a a)))))

prune629.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	205	7	212
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	207	7	214

Error

21.6b

Counts

214 → 7

Alt Table

Status	Error	Program
	41.4b	(-.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 (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) 2)) (.f64 x-scale x-scale))) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) 2)) y-scale)) y-scale))
	34.6b	(/.f64 (neg.f64 (fma.f64 4 (.f64 (.f64 (/.f64 a x-scale) (/.f64 a x-scale)) (.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4))) (fma.f64 4 (.f64 (/.f64 (.f64 (.f64 a a) (.f64 b b)) x-scale) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) x-scale)) (.f64 (/.f64 8 x-scale) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b)) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a))) x-scale))))) (*.f64 y-scale y-scale))
	34.4b	(/.f64 (neg.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (.f64 (/.f64 y-scale (.f64 a a)) (/.f64 y-scale (.f64 b b)))) (fma.f64 4 (.f64 (.f64 (/.f64 a y-scale) (/.f64 a y-scale)) (.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) 8) (/.f64 (.f64 (/.f64 y-scale (.f64 a a)) (/.f64 y-scale (.f64 b b))) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))))) (.f64 x-scale x-scale))
▶	28.5b	(.f64 -4 (.f64 (/.f64 (.f64 a a) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale))) (*.f64 b b)))
	37.3b	(.f64 -4 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))
	38.5b	(.f64 (fma.f64 4 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale))) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (fma.f64 8 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 y-scale y-scale)) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b)) (.f64 x-scale x-scale))) (.f64 4 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (.f64 (/.f64 (.f64 y-scale y-scale) b) (/.f64 (.f64 x-scale x-scale) b)))))) (neg.f64 (.f64 a a)))
	31.7b	0

Compiler

Compiled 26637 to 18184 computations (31.7% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x-scale y-scale) (*.f64 x-scale y-scale))
✓	14.9b	(/.f64 (.f64 a a) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale)))
✓	18.0b	(.f64 (/.f64 (.f64 a a) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale))) (.f64 b b))

New

Error

Program

✓

0.2b

(*.f64 (*.f64 x-scale y-scale) (*.f64 x-scale y-scale))

✓

14.9b

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

✓

18.0b

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

series256.0ms (0.4%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
19.0ms	b	@	0	(.f64 (/.f64 (.f64 a a) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale))) (.f64 b b))
19.0ms	a	@	0	(/.f64 (.f64 a a) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale)))
18.0ms	a	@	inf	(.f64 (/.f64 (.f64 a a) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale))) (.f64 b b))
17.0ms	a	@	-inf	(.f64 (/.f64 (.f64 a a) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale))) (.f64 b b))
13.0ms	a	@	inf	(/.f64 (.f64 a a) (.f64 (.f64 x-scale y-scale) (.f64 x-scale y-scale)))

rewrite85.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`log-prod_binary64`
202×	`expm1-udef_binary64`
202×	`log1p-udef_binary64`
181×	`log-pow_binary64`
151×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	235	30
2	3356	30

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

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

Inputs

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

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

(*.f64 (*.f64 x-scale y-scale) (*.f64 x-scale y-scale))

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 x-scale y-scale) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x-scale y-scale) 2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x-scale y-scale) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x-scale y-scale) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x-scale y-scale) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x-scale y-scale) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x-scale y-scale) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x-scale y-scale) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x-scale y-scale) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 x-scale y-scale) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 x-scale y-scale) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x-scale y-scale) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x-scale y-scale) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x-scale y-scale) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 x-scale y-scale) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x-scale y-scale))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x-scale y-scale)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x-scale y-scale))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x-scale y-scale) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x-scale y-scale) 2)))))))

simplify45.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

816×	`associate-/r*_binary64`
499×	`associate-/l/_binary64`
445×	`associate-*l/_binary64`
411×	`associate-l_binary64`
340×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	1872
1	48	1872
2	160	1872
3	1127	1872

Stop Event

1×	node limit

Counts

208 → 109

Calls

Call 1

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

Outputs
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))
(.f64 (/.f64 (.f64 a a) (.f64 x-scale x-scale)) (/.f64 (.f64 b b) (*.f64 y-scale y-scale)))
(.f64 (.f64 (/.f64 a y-scale) (/.f64 a y-scale)) (*.f64 (/.f64 b x-scale) (/.f64 b x-scale)))
(.f64 (.f64 b b) (*.f64 (/.f64 (/.f64 a x-scale) y-scale) (/.f64 (/.f64 a x-scale) y-scale)))
(.f64 (/.f64 (.f64 a a) y-scale) (/.f64 (/.f64 (.f64 b b) (.f64 x-scale x-scale)) y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))
(.f64 (/.f64 (.f64 a a) (.f64 x-scale x-scale)) (/.f64 (.f64 b b) (*.f64 y-scale y-scale)))
(.f64 (.f64 (/.f64 a y-scale) (/.f64 a y-scale)) (*.f64 (/.f64 b x-scale) (/.f64 b x-scale)))
(.f64 (.f64 b b) (*.f64 (/.f64 (/.f64 a x-scale) y-scale) (/.f64 (/.f64 a x-scale) y-scale)))
(.f64 (/.f64 (.f64 a a) y-scale) (/.f64 (/.f64 (.f64 b b) (.f64 x-scale x-scale)) y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))
(.f64 (/.f64 (.f64 a a) (.f64 x-scale x-scale)) (/.f64 (.f64 b b) (*.f64 y-scale y-scale)))
(.f64 (.f64 (/.f64 a y-scale) (/.f64 a y-scale)) (*.f64 (/.f64 b x-scale) (/.f64 b x-scale)))
(.f64 (.f64 b b) (*.f64 (/.f64 (/.f64 a x-scale) y-scale) (/.f64 (/.f64 a x-scale) y-scale)))
(.f64 (/.f64 (.f64 a a) y-scale) (/.f64 (/.f64 (.f64 b b) (.f64 x-scale x-scale)) y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))
(.f64 (/.f64 (.f64 a a) (.f64 x-scale x-scale)) (/.f64 (.f64 b b) (*.f64 y-scale y-scale)))
(.f64 (.f64 (/.f64 a y-scale) (/.f64 a y-scale)) (*.f64 (/.f64 b x-scale) (/.f64 b x-scale)))
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(.f64 (/.f64 (.f64 a a) y-scale) (/.f64 (/.f64 (.f64 b b) (.f64 x-scale x-scale)) y-scale))
(/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))
(.f64 (/.f64 (.f64 a a) (.f64 x-scale x-scale)) (/.f64 (.f64 b b) (*.f64 y-scale y-scale)))
(.f64 (.f64 (/.f64 a y-scale) (/.f64 a y-scale)) (*.f64 (/.f64 b x-scale) (/.f64 b x-scale)))
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(/.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 (/.f64 a y-scale) (/.f64 a y-scale)) (*.f64 (/.f64 b x-scale) (/.f64 b x-scale)))
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(/.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 (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 (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 (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 (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 (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 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))
(.f64 (/.f64 (.f64 a a) (.f64 x-scale x-scale)) (/.f64 (.f64 b b) (*.f64 y-scale y-scale)))
(.f64 (.f64 (/.f64 a y-scale) (/.f64 a y-scale)) (*.f64 (/.f64 b x-scale) (/.f64 b x-scale)))
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(/.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 (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 (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 (/.f64 a y-scale) (/.f64 a y-scale)) (*.f64 (/.f64 b x-scale) (/.f64 b x-scale)))
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(/.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 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))
(.f64 (/.f64 (.f64 a a) (.f64 x-scale x-scale)) (/.f64 (.f64 b b) (*.f64 y-scale y-scale)))
(.f64 (.f64 (/.f64 a y-scale) (/.f64 a y-scale)) (*.f64 (/.f64 b x-scale) (/.f64 b x-scale)))
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(.f64 (/.f64 (.f64 a a) y-scale) (/.f64 (/.f64 (.f64 b b) (.f64 x-scale x-scale)) y-scale))
(/.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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prune134.0ms (0.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	98	11	109
Fresh	5	1	6
Picked	1	0	1
Done	0	0	0
Total	104	12	116

Error

3.6b

Counts

116 → 12

Alt Table

Status	Error	Program
▶	6.3b	(.f64 -4 (pow.f64 (.f64 b (/.f64 a (*.f64 x-scale y-scale))) 2))
	25.8b	(.f64 -4 (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) (cbrt.f64 (pow.f64 (.f64 x-scale y-scale) 4))) (cbrt.f64 (pow.f64 (.f64 x-scale y-scale) 2))))
	13.7b	(.f64 -4 (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (.f64 x-scale y-scale)))
	18.6b	(.f64 -4 (/.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (*.f64 x-scale y-scale) 2)))
	23.7b	(.f64 -4 (/.f64 (.f64 a (.f64 b b)) (/.f64 (pow.f64 (.f64 x-scale y-scale) 2) a)))
	22.7b	(.f64 -4 (cbrt.f64 (pow.f64 (pow.f64 (.f64 b (/.f64 a (*.f64 x-scale y-scale))) 2) 3)))
	6.5b	(.f64 -4 (pow.f64 (cbrt.f64 (pow.f64 (.f64 b (/.f64 a (*.f64 x-scale y-scale))) 2)) 3))
	28.2b	(.f64 -4 (.f64 (.f64 (/.f64 a y-scale) (/.f64 (/.f64 a y-scale) (.f64 x-scale x-scale))) (*.f64 b b)))
	19.5b	(.f64 -4 (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) x-scale) (.f64 y-scale (.f64 x-scale y-scale))))
	19.5b	(.f64 -4 (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale (.f64 x-scale y-scale))) y-scale))
	20.4b	(.f64 -4 (/.f64 (.f64 b b) (/.f64 1 (pow.f64 (/.f64 a (*.f64 x-scale y-scale)) 2))))
	31.7b	0

Compiler

Compiled 2397 to 1276 computations (46.8% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (.f64 b (/.f64 a (.f64 x-scale y-scale))) 2)
✓	4.2b	(.f64 b (/.f64 a (.f64 x-scale y-scale)))
✓	5.6b	(/.f64 a (*.f64 x-scale y-scale))

series85.0ms (0.1%)

Counts

3 → 116

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	y-scale	@	inf	(pow.f64 (.f64 b (/.f64 a (.f64 x-scale y-scale))) 2)
5.0ms	b	@	-inf	(pow.f64 (.f64 b (/.f64 a (.f64 x-scale y-scale))) 2)
4.0ms	a	@	-inf	(pow.f64 (.f64 b (/.f64 a (.f64 x-scale y-scale))) 2)
3.0ms	a	@	inf	(pow.f64 (.f64 b (/.f64 a (.f64 x-scale y-scale))) 2)
3.0ms	b	@	inf	(.f64 b (/.f64 a (.f64 x-scale y-scale)))

rewrite54.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`log-prod_binary64`
190×	`pow1/3_binary64`
184×	`expm1-udef_binary64`
184×	`log1p-udef_binary64`
172×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	213	30
2	2744	30

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

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

Outputs

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

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

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

simplify41.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

790×	`associate-/r*_binary64`
487×	`associate-*l/_binary64`
483×	`associate-/l/_binary64`
458×	`associate-l_binary64`
387×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	1676
1	66	1676
2	183	1676
3	1054	1676

Stop Event

1×	node limit

Counts

227 → 117

Calls

Call 1

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

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

prune179.0ms (0.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	106	11	117
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	111	18	129

Error

0.0b

Counts

129 → 18

Alt Table

Status	Error	Program
	6.8b	(.f64 -4 (.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 a x-scale) y-scale) b)) 2) (.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 a x-scale) y-scale) b)) (.f64 (/.f64 (/.f64 a x-scale) y-scale) b))))
	6.9b	(.f64 -4 (pow.f64 (/.f64 (.f64 (/.f64 a x-scale) b) y-scale) 2))
	13.7b	(.f64 -4 (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (.f64 x-scale y-scale)))
	22.7b	(.f64 -4 (.f64 (/.f64 (/.f64 b x-scale) (.f64 y-scale y-scale)) (.f64 a (*.f64 a (/.f64 b x-scale)))))
	18.6b	(.f64 -4 (/.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (*.f64 x-scale y-scale) 2)))
	22.7b	(.f64 -4 (cbrt.f64 (pow.f64 (pow.f64 (.f64 b (/.f64 a (*.f64 x-scale y-scale))) 2) 3)))
	6.5b	(.f64 -4 (pow.f64 (cbrt.f64 (pow.f64 (.f64 b (/.f64 a (*.f64 x-scale y-scale))) 2)) 3))
	19.5b	(.f64 -4 (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) x-scale) (.f64 y-scale (.f64 x-scale y-scale))))
	31.1b	(.f64 -4 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 (/.f64 (/.f64 a x-scale) y-scale) b) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (/.f64 a x-scale) y-scale) b) 2))))))
	20.4b	(.f64 -4 (/.f64 (.f64 b b) (/.f64 1 (pow.f64 (/.f64 a (*.f64 x-scale y-scale)) 2))))
	5.8b	(.f64 -4 (pow.f64 (.f64 b (*.f64 (/.f64 1 x-scale) (/.f64 a y-scale))) 2))
	25.8b	(.f64 -4 (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) (cbrt.f64 (pow.f64 (.f64 x-scale y-scale) 4))) (cbrt.f64 (pow.f64 (.f64 x-scale y-scale) 2))))
	25.1b	(.f64 -4 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 a x-scale) y-scale) b)) (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 a x-scale) y-scale) b)) (.f64 (/.f64 (/.f64 a x-scale) y-scale) b))))
	19.6b	(.f64 -4 (.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 a x-scale) y-scale) b)) 2) (cbrt.f64 (pow.f64 (.f64 (/.f64 (/.f64 a x-scale) y-scale) b) 4))))
	5.7b	(.f64 -4 (pow.f64 (/.f64 (/.f64 (.f64 a b) y-scale) x-scale) 2))
	8.4b	(.f64 -4 (.f64 b (.f64 (/.f64 (/.f64 a x-scale) y-scale) (.f64 (/.f64 (/.f64 a x-scale) y-scale) b))))
▶	5.3b	(*.f64 -4 (pow.f64 (/.f64 b (/.f64 x-scale (/.f64 a y-scale))) 2))
	12.4b	(.f64 -4 (/.f64 (.f64 (.f64 a b) (.f64 (/.f64 (/.f64 a x-scale) y-scale) b)) (*.f64 x-scale y-scale)))

Compiler

Compiled 2691 to 1413 computations (47.5% saved)

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 b (/.f64 x-scale (/.f64 a y-scale))) 2)
✓	3.9b	(/.f64 b (/.f64 x-scale (/.f64 a y-scale)))
✓	5.9b	(/.f64 x-scale (/.f64 a y-scale))

series92.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
11.0ms	a	@	-inf	(/.f64 b (/.f64 x-scale (/.f64 a y-scale)))
7.0ms	y-scale	@	-inf	(pow.f64 (/.f64 b (/.f64 x-scale (/.f64 a y-scale))) 2)
6.0ms	x-scale	@	inf	(pow.f64 (/.f64 b (/.f64 x-scale (/.f64 a y-scale))) 2)
4.0ms	a	@	-inf	(pow.f64 (/.f64 b (/.f64 x-scale (/.f64 a y-scale))) 2)
4.0ms	b	@	-inf	(pow.f64 (/.f64 b (/.f64 x-scale (/.f64 a y-scale))) 2)

rewrite59.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`log-prod_binary64`
196×	`expm1-udef_binary64`
196×	`log1p-udef_binary64`
179×	`log-div_binary64`
168×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	222	30
2	3144	30

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

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

Outputs

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

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

simplify47.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

803×	`associate-/r*_binary64`
494×	`associate-*l/_binary64`
492×	`associate-/l/_binary64`
473×	`associate-l_binary64`
381×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	1788
1	68	1788
2	186	1788
3	1063	1788

Stop Event

1×	node limit

Counts

274 → 150

Calls

Call 1

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

prune224.0ms (0.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	145	5	150
Fresh	9	8	17
Picked	0	1	1
Done	0	0	0
Total	154	14	168

Error

0.0b

Counts

168 → 14

Alt Table

Status	Error	Program
	13.7b	(.f64 -4 (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) (.f64 x-scale y-scale)) (.f64 x-scale y-scale)))
	18.6b	(.f64 -4 (/.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (*.f64 x-scale y-scale) 2)))
	20.3b	(.f64 -4 (.f64 a (.f64 (/.f64 b x-scale) (/.f64 (/.f64 a (/.f64 x-scale b)) (.f64 y-scale y-scale)))))
	5.7b	(.f64 -4 (pow.f64 (/.f64 (/.f64 (.f64 a b) y-scale) x-scale) 2))
	19.5b	(.f64 -4 (/.f64 (/.f64 (pow.f64 (.f64 a b) 2) x-scale) (.f64 y-scale (.f64 x-scale y-scale))))
	6.7b	(.f64 -4 (/.f64 1 (.f64 (/.f64 (/.f64 x-scale a) (/.f64 b y-scale)) (/.f64 (/.f64 x-scale a) (/.f64 b y-scale)))))
	10.9b	(.f64 -4 (/.f64 (.f64 (/.f64 a y-scale) (/.f64 b x-scale)) (/.f64 (/.f64 x-scale a) (/.f64 b y-scale))))
✓	5.3b	(*.f64 -4 (pow.f64 (/.f64 b (/.f64 x-scale (/.f64 a y-scale))) 2))
	25.1b	(.f64 -4 (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 a x-scale) y-scale) b)) (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 a x-scale) y-scale) b)) (.f64 (/.f64 (/.f64 a x-scale) y-scale) b))))
	6.8b	(.f64 -4 (.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 a x-scale) y-scale) b)) 2) (.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 a x-scale) y-scale) b)) (.f64 (/.f64 (/.f64 a x-scale) y-scale) b))))
	5.0b	(.f64 -4 (pow.f64 (fabs.f64 (.f64 (/.f64 a y-scale) (/.f64 b x-scale))) 2))
	18.9b	(.f64 -4 (.f64 (pow.f64 (/.f64 b x-scale) 2) (pow.f64 (/.f64 a y-scale) 2)))
	12.4b	(.f64 -4 (/.f64 (.f64 (.f64 a b) (.f64 (/.f64 (/.f64 a x-scale) y-scale) b)) (*.f64 x-scale y-scale)))
	20.4b	(.f64 -4 (/.f64 (.f64 b b) (/.f64 1 (pow.f64 (/.f64 a (*.f64 x-scale y-scale)) 2))))

Compiler

Compiled 2799 to 1278 computations (54.3% saved)

regimes3.0s (4.2%)

Accuracy

Total 5.8b remaining (99.1%)

Threshold costs 0b (0%)

Counts

150 → 5

Compiler

Compiled 39696 to 27951 computations (29.6% saved)

bsearch3.7s (5.2%)

Algorithm

4×	binary-search

Calls

4 calls:

2.2s	a
622.0ms	a
585.0ms	a
295.0ms	a

Steps

Iters	Point		Range
3.8e-97	∈ [	2.2885982187744326e-97	,	9.007890958626221e-97	]
-2.05e-272	∈ [	-9.144596930675764e-269	,	-1.2293699973247802e-273	]
-2.8e-197	∈ [	-4.315366765172113e-195	,	-2.0790320091365024e-198	]
-1.8e+256	∈ [	-6.834987987692296e+261	,	-1.7136594282743838e+255	]

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
1×	`*-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	104
1	54	104

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 a -17999999999999998541893548338573482828073220499567173175550446943486486281920288661568851067555002287798728912842822867844431636430382658437752494800110771866294780511890571011921440847607764469480102900940911262229149593559155021342348531192579127873896448) (*.f64 -4 (pow.f64 (/.f64 b (*.f64 (*.f64 (/.f64 x-scale a) 1) y-scale)) 2)) (if (<=.f64 a -4713081767787343/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032) (*.f64 -4 (pow.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale)) 2)) (if (<=.f64 a -1560772947138281/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (*.f64 -4 (pow.f64 (/.f64 b (*.f64 (*.f64 (/.f64 x-scale a) 1) y-scale)) 2)) (if (<=.f64 a 456932444904477/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (*.f64 -4 (pow.f64 (/.f64 a (*.f64 x-scale (/.f64 y-scale b))) 2)) (*.f64 -4 (pow.f64 (/.f64 b (/.f64 x-scale (/.f64 a y-scale))) 2))))))

Outputs

(if (<=.f64 a -17999999999999998541893548338573482828073220499567173175550446943486486281920288661568851067555002287798728912842822867844431636430382658437752494800110771866294780511890571011921440847607764469480102900940911262229149593559155021342348531192579127873896448) (*.f64 -4 (pow.f64 (/.f64 b (*.f64 (*.f64 (/.f64 x-scale a) 1) y-scale)) 2)) (if (<=.f64 a -4713081767787343/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032) (*.f64 -4 (pow.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale)) 2)) (if (<=.f64 a -1560772947138281/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (*.f64 -4 (pow.f64 (/.f64 b (*.f64 (*.f64 (/.f64 x-scale a) 1) y-scale)) 2)) (if (<=.f64 a 456932444904477/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (*.f64 -4 (pow.f64 (/.f64 a (*.f64 x-scale (/.f64 y-scale b))) 2)) (*.f64 -4 (pow.f64 (/.f64 b (/.f64 x-scale (/.f64 a y-scale))) 2))))))

(if (<=.f64 a -17999999999999998541893548338573482828073220499567173175550446943486486281920288661568851067555002287798728912842822867844431636430382658437752494800110771866294780511890571011921440847607764469480102900940911262229149593559155021342348531192579127873896448) (*.f64 -4 (pow.f64 (/.f64 b (*.f64 (/.f64 x-scale a) y-scale)) 2)) (if (<=.f64 a -4713081767787343/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032) (*.f64 -4 (pow.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale)) 2)) (if (<=.f64 a -1560772947138281/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (*.f64 -4 (pow.f64 (/.f64 b (*.f64 (/.f64 x-scale a) y-scale)) 2)) (if (<=.f64 a 456932444904477/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (*.f64 -4 (pow.f64 (/.f64 a (*.f64 x-scale (/.f64 y-scale b))) 2)) (*.f64 -4 (pow.f64 (/.f64 b (/.f64 x-scale (/.f64 a y-scale))) 2))))))

end172.0ms (0.2%)

Stop Event

1×

fuel

Compiler

Compiled 453 to 288 computations (36.4% saved)

Details

analyze12.8s (18.2%)

sample46.1s (65.3%)

preprocess57.0ms (0.1%)

simplify21.0ms (0%)

prune11.0ms (0%)

localize40.0ms (0.1%)

series2.5s (3.6%)

rewrite56.0ms (0.1%)

simplify174.0ms (0.2%)

prune629.0ms (0.9%)

localize10.0ms (0%)

series256.0ms (0.4%)

rewrite85.0ms (0.1%)

simplify45.0ms (0.1%)

prune134.0ms (0.2%)

localize9.0ms (0%)

series85.0ms (0.1%)

rewrite54.0ms (0.1%)

simplify41.0ms (0.1%)

prune179.0ms (0.3%)

localize11.0ms (0%)

series92.0ms (0.1%)

rewrite59.0ms (0.1%)

simplify47.0ms (0.1%)

prune224.0ms (0.3%)

regimes3.0s (4.2%)

bsearch3.7s (5.2%)

simplify3.0ms (0%)

end172.0ms (0.2%)

Profiling