Details

analyze12.9s (18.9%)

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)

sample48.1s (70.5%)

Results

12.5s	1484×	body	4096	valid
9.3s	1780×	body	2048	valid
7.5s	876×	body	4096	invalid
6.3s	1184×	body	2048	invalid
3.0s	869×	body	1024	valid
2.9s	3530×	body	128	valid
2.3s	646×	body	1024	invalid
1.2s	65×	body	8192	valid
839.0ms	370×	body	512	valid
755.0ms	1071×	body	128	invalid
696.0ms	293×	body	512	invalid
439.0ms	24×	body	8192	invalid
235.0ms	158×	body	256	valid
171.0ms	118×	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

Compiler

Compiled 114 to 83 computations (27.2% saved)

simplify22.0ms (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

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

42.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	48.7b	(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)))
▶	42.3b	(-.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

48.7b

(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)))

▶

42.3b

(-.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
✓	12.1b	(.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))
✓	29.4b	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	29.7b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	32.0b	(-.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)))

series2.6s (3.8%)

Counts

4 → 144

Calls

36 calls:

200.0ms	(-.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)))	angle	-inf
192.0ms	(-.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)))	angle	inf
176.0ms	(-.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)))	y-scale	0
172.0ms	(-.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)))	y-scale	inf
166.0ms	(-.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)))	x-scale	0

rewrite85.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

429×	`log1p-expm1-u_binary64`
429×	`expm1-log1p-u_binary64`
413×	`add-log-exp_binary64`
398×	`pow1_binary64`
152×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	238
1	918	226

Stop Event

1×	node limit

Counts

4 → 87

simplify203.0ms (0.3%)

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

231 → 157

prune901.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	284	11	295
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	286	11	297

Error

25.2b

Counts

297 → 11

Alt Table

Status	Error	Program
	42.3b	(-.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 (.f64 1 (sin.f64 (.f64 (.f64 angle 1/180) (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)))
	37.3b	(/.f64 (neg.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (/.f64 y-scale (/.f64 (.f64 (.f64 a b) (.f64 a b)) y-scale))) (fma.f64 4 (.f64 (.f64 (/.f64 a y-scale) (/.f64 a y-scale)) (.f64 b (.f64 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 y-scale (/.f64 (.f64 (.f64 a b) (.f64 a b)) y-scale)) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))))) (.f64 x-scale x-scale))
	46.8b	(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)) (/.f64 (.f64 (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))) 4) (/.f64 (.f64 y-scale (.f64 y-scale (.f64 x-scale x-scale))) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b) (.f64 a (.f64 a (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2)))))))
	35.2b	(.f64 -4 (/.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 x-scale x-scale)) (.f64 y-scale y-scale)))
	45.0b	(-.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 (pow.f64 (hypot.f64 (.f64 a (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (.f64 b (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))))) 2) (.f64 x-scale x-scale))) (/.f64 (pow.f64 (hypot.f64 (.f64 a (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (.f64 b (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))))) 2) y-scale)) y-scale))
▶	33.0b	0
	43.0b	(-.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 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) 3)) 2)) y-scale) y-scale)))
	42.3b	(/.f64 (neg.f64 (fma.f64 4 (.f64 (.f64 (/.f64 a x-scale) (/.f64 a x-scale)) (.f64 b (.f64 b (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 a a)) (/.f64 (.f64 x-scale x-scale) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b)))) (.f64 4 (.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) x-scale) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) x-scale)))))) (*.f64 y-scale y-scale))
	41.7b	(-.f64 (.f64 4 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 y-scale y-scale)) (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (/.f64 (.f64 x-scale x-scale) (pow.f64 b 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 (.f64 (.f64 a b) (.f64 a b)) x-scale) (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) x-scale))) (.f64 4 (+.f64 (.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 x-scale x-scale)) (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (.f64 y-scale y-scale))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (.f64 y-scale y-scale)) (/.f64 (.f64 (.f64 a b) (.f64 a b)) (.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 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (/.f64 (*.f64 x-scale x-scale) (pow.f64 b 4)))))))))
	42.4b	(.f64 (fma.f64 4 (.f64 (/.f64 (.f64 b b) (.f64 y-scale (.f64 y-scale (.f64 x-scale x-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 (.f64 y-scale (.f64 x-scale x-scale)))) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (.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)))
	53.8b	(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (exp.f64 (log.f64 (sin.f64 (.f64 (.f64 angle 1/180) (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 38448 to 26062 computations (32.2% saved)

localize0.0ms (0%)

prune40.0ms (0.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	10	10
Picked	1	1
Done	0	0
Total	11	11

Error

25.2b

Counts

11 → 11

Alt Table

Status	Error	Program
	42.3b	(-.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 (.f64 1 (sin.f64 (.f64 (.f64 angle 1/180) (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)))
	37.3b	(/.f64 (neg.f64 (fma.f64 4 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (/.f64 y-scale (/.f64 (.f64 (.f64 a b) (.f64 a b)) y-scale))) (fma.f64 4 (.f64 (.f64 (/.f64 a y-scale) (/.f64 a y-scale)) (.f64 b (.f64 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 y-scale (/.f64 (.f64 (.f64 a b) (.f64 a b)) y-scale)) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))))) (.f64 x-scale x-scale))
	46.8b	(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)) (/.f64 (.f64 (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))) 4) (/.f64 (.f64 y-scale (.f64 y-scale (.f64 x-scale x-scale))) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b) (.f64 a (.f64 a (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2)))))))
▶	35.2b	(.f64 -4 (/.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 x-scale x-scale)) (.f64 y-scale y-scale)))
	45.0b	(-.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 (pow.f64 (hypot.f64 (.f64 a (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (.f64 b (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))))) 2) (.f64 x-scale x-scale))) (/.f64 (pow.f64 (hypot.f64 (.f64 a (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (.f64 b (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))))) 2) y-scale)) y-scale))
✓	33.0b	0
	43.0b	(-.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 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) 3)) 2)) y-scale) y-scale)))
	42.3b	(/.f64 (neg.f64 (fma.f64 4 (.f64 (.f64 (/.f64 a x-scale) (/.f64 a x-scale)) (.f64 b (.f64 b (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 a a)) (/.f64 (.f64 x-scale x-scale) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b)))) (.f64 4 (.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) x-scale) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) x-scale)))))) (*.f64 y-scale y-scale))
	41.7b	(-.f64 (.f64 4 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 y-scale y-scale)) (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (/.f64 (.f64 x-scale x-scale) (pow.f64 b 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 (.f64 (.f64 a b) (.f64 a b)) x-scale) (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) x-scale))) (.f64 4 (+.f64 (.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 x-scale x-scale)) (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (.f64 y-scale y-scale))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (.f64 y-scale y-scale)) (/.f64 (.f64 (.f64 a b) (.f64 a b)) (.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 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (/.f64 (*.f64 x-scale x-scale) (pow.f64 b 4)))))))))
	42.4b	(.f64 (fma.f64 4 (.f64 (/.f64 (.f64 b b) (.f64 y-scale (.f64 y-scale (.f64 x-scale x-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 (.f64 y-scale (.f64 x-scale x-scale)))) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))) (.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)))
	53.8b	(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (exp.f64 (log.f64 (sin.f64 (.f64 (.f64 angle 1/180) (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 2022 to 1328 computations (34.3% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 a b) (*.f64 a b))
✓	15.4b	(/.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 x-scale x-scale))
✓	22.7b	(/.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 x-scale x-scale)) (*.f64 y-scale y-scale))

series225.0ms (0.3%)

Counts

3 → 108

Calls

27 calls:

18.0ms	(/.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 x-scale x-scale)) (*.f64 y-scale y-scale))	a	inf
18.0ms	(/.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 x-scale x-scale)) (*.f64 y-scale y-scale))	b	-inf
17.0ms	(/.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 x-scale x-scale)) (*.f64 y-scale y-scale))	b	0
13.0ms	(/.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 x-scale x-scale)) (*.f64 y-scale y-scale))	a	0
13.0ms	(/.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 x-scale x-scale)) (*.f64 y-scale y-scale))	b	inf

rewrite59.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

210×	`expm1-udef_binary64`
210×	`log1p-udef_binary64`
199×	`log-pow_binary64`
122×	`times-frac_binary64`
120×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	241	30
2	3681	30

Stop Event

1×	node limit

Counts

3 → 106

simplify46.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

772×	`associate-/r*_binary64`
461×	`associate-/l/_binary64`
399×	`associate-l_binary64`
392×	`associate-*l/_binary64`
328×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	1872
1	46	1872
2	154	1872
3	1080	1872

Stop Event

1×	node limit

Counts

214 → 113

prune175.0ms (0.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	100	13	113
Fresh	8	1	9
Picked	1	0	1
Done	0	1	1
Total	109	15	124

Error

1.3b

Counts

124 → 15

Alt Table

Status	Error	Program
	46.8b	(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale)) (/.f64 (.f64 (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))) 4) (/.f64 (.f64 y-scale (.f64 y-scale (.f64 x-scale x-scale))) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b) (.f64 a (.f64 a (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2)))))))
	21.2b	(.f64 -4 (.f64 (/.f64 (/.f64 a (/.f64 x-scale b)) 1) (/.f64 (/.f64 a (/.f64 x-scale b)) (*.f64 y-scale y-scale))))
✓	33.0b	0
	29.9b	(.f64 -4 (/.f64 (.f64 (/.f64 a x-scale) (/.f64 (.f64 b (.f64 a b)) x-scale)) (*.f64 y-scale y-scale)))
	10.2b	(*.f64 -4 (exp.f64 (log.f64 (pow.f64 (/.f64 (/.f64 a (/.f64 x-scale b)) y-scale) 2))))
	23.2b	(*.f64 -4 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 a (/.f64 x-scale b)) y-scale) 2) 3)))
▶	8.2b	(*.f64 -4 (pow.f64 (/.f64 (/.f64 a (/.f64 x-scale b)) y-scale) 2))
	8.4b	(*.f64 -4 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 a (/.f64 x-scale b)) y-scale) 2)) 3))
	21.5b	(.f64 -4 (.f64 (pow.f64 (.f64 a b) 2) (/.f64 1 (pow.f64 (.f64 y-scale x-scale) 2))))
	18.7b	(.f64 -4 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 a (/.f64 x-scale b)) 2)) 2) y-scale) (/.f64 (cbrt.f64 (pow.f64 (/.f64 a (/.f64 x-scale b)) 2)) y-scale)))
	29.1b	(.f64 -4 (.f64 (/.f64 (pow.f64 (*.f64 a b) 2) y-scale) (/.f64 (pow.f64 x-scale -2) y-scale)))
	29.3b	(.f64 -4 (.f64 (.f64 b b) (.f64 (/.f64 a x-scale) (/.f64 a (.f64 y-scale (.f64 y-scale x-scale))))))
	31.6b	(.f64 -4 (.f64 (/.f64 (.f64 a b) (.f64 y-scale y-scale)) (/.f64 (.f64 a b) (.f64 x-scale x-scale))))
	18.5b	(.f64 -4 (.f64 (/.f64 (pow.f64 (/.f64 a (/.f64 x-scale b)) 2) y-scale) (/.f64 1 y-scale)))
	35.6b	(.f64 -4 (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 a b) 2)) (/.f64 1 (.f64 x-scale (neg.f64 x-scale)))) (*.f64 y-scale y-scale)))

Compiler

Compiled 2799 to 1517 computations (45.8% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (/.f64 (/.f64 a (/.f64 x-scale b)) y-scale) 2)
✓	5.4b	(/.f64 (/.f64 a (/.f64 x-scale b)) y-scale)
✓	7.7b	(/.f64 a (/.f64 x-scale b))

series85.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

7.0ms	(pow.f64 (/.f64 (/.f64 a (/.f64 x-scale b)) y-scale) 2)	y-scale	inf
6.0ms	(pow.f64 (/.f64 (/.f64 a (/.f64 x-scale b)) y-scale) 2)	a	-inf
4.0ms	(/.f64 (/.f64 a (/.f64 x-scale b)) y-scale)	x-scale	-inf
4.0ms	(pow.f64 (/.f64 (/.f64 a (/.f64 x-scale b)) y-scale) 2)	b	-inf
3.0ms	(pow.f64 (/.f64 (/.f64 a (/.f64 x-scale b)) y-scale) 2)	b	inf

rewrite58.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`log-prod_binary64`
198×	`expm1-udef_binary64`
198×	`log1p-udef_binary64`
190×	`log-div_binary64`
178×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	221	30
2	3174	30

Stop Event

1×	node limit

Counts

3 → 144

simplify48.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

798×	`associate-/r*_binary64`
486×	`associate-/l/_binary64`
476×	`associate-*l/_binary64`
459×	`associate-l_binary64`
379×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	1788
1	66	1788
2	182	1788
3	1054	1788

Stop Event

1×	node limit

Counts

276 → 152

prune236.0ms (0.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	143	9	152
Fresh	9	4	13
Picked	0	1	1
Done	1	0	1
Total	153	14	167

Error

0.0b

Counts

167 → 14

Alt Table

Status	Error	Program
	8.7b	(.f64 -4 (.f64 (cbrt.f64 (pow.f64 (/.f64 a (/.f64 y-scale (/.f64 b x-scale))) 2)) (*.f64 (cbrt.f64 (/.f64 a (/.f64 y-scale (/.f64 b x-scale)))) (/.f64 a (/.f64 y-scale (/.f64 b x-scale))))))
	6.0b	(.f64 -4 (pow.f64 (/.f64 (.f64 a b) (*.f64 y-scale x-scale)) 2))
	11.9b	(.f64 -4 (.f64 (.f64 a (/.f64 b x-scale)) (.f64 (/.f64 1 y-scale) (/.f64 a (/.f64 y-scale (/.f64 b x-scale))))))
✓	8.2b	(*.f64 -4 (pow.f64 (/.f64 (/.f64 a (/.f64 x-scale b)) y-scale) 2))
	6.0b	(.f64 -4 (/.f64 1 (.f64 (.f64 y-scale (/.f64 x-scale (.f64 a b))) (.f64 y-scale (/.f64 x-scale (.f64 a b))))))
	5.8b	(.f64 -4 (pow.f64 (/.f64 (.f64 (/.f64 1 x-scale) (/.f64 a (/.f64 1 b))) y-scale) 2))
	24.2b	(.f64 -4 (.f64 (sqrt.f64 (/.f64 a (/.f64 y-scale (/.f64 b x-scale)))) (*.f64 (sqrt.f64 (/.f64 a (/.f64 y-scale (/.f64 b x-scale)))) (/.f64 a (/.f64 y-scale (/.f64 b x-scale))))))
	26.7b	(.f64 -4 (.f64 (/.f64 a y-scale) (.f64 (/.f64 a y-scale) (.f64 (/.f64 b (*.f64 x-scale x-scale)) b))))
	8.4b	(*.f64 -4 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 a (/.f64 x-scale b)) y-scale) 2)) 3))
	21.5b	(.f64 -4 (.f64 (pow.f64 (.f64 a b) 2) (/.f64 1 (pow.f64 (.f64 y-scale x-scale) 2))))
	12.1b	(.f64 -4 (/.f64 (.f64 (/.f64 a x-scale) (neg.f64 b)) (.f64 (.f64 y-scale (/.f64 x-scale (*.f64 a b))) (neg.f64 y-scale))))
	29.3b	(.f64 -4 (.f64 (.f64 b b) (.f64 (/.f64 a x-scale) (/.f64 a (.f64 y-scale (.f64 y-scale x-scale))))))
	31.6b	(.f64 -4 (.f64 (/.f64 (.f64 a b) (.f64 y-scale y-scale)) (/.f64 (.f64 a b) (.f64 x-scale x-scale))))
	12.1b	(.f64 -4 (/.f64 (.f64 a (/.f64 a (/.f64 y-scale (/.f64 b x-scale)))) (/.f64 y-scale (/.f64 b x-scale))))

Compiler

Compiled 2893 to 1335 computations (53.9% saved)

regimes2.2s (3.2%)

Accuracy

Total 5.8b remaining (98.4%)

Threshold costs 0b (0%)

Counts

113 → 5

Compiler

Compiled 44408 to 30543 computations (31.2% saved)

bsearch8.0ms (0%)

Algorithm

4×	left-value

Calls

4 calls:

0.0ms	(/.f64 angle 180)
0.0ms	(/.f64 angle 180)
0.0ms	(/.f64 angle 180)
0.0ms	(/.f64 angle 180)

Steps

Iters	Point		Range
3.512556767822914e+195	∈ [	3.512556767822914e+195	,	1.5282906873384059e+200	]
1.0042822233950538e-168	∈ [	1.0042822233950538e-168	,	2.0001824943921353e-168	]
-3.365480426795039e-296	∈ [	-3.365480426795039e-296	,	-5.422117172280254e-297	]
-7.083147212391496e-105	∈ [	-7.083147212391496e-105	,	-2.9230952562124776e-105	]

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	116
1	44	116

Stop Event

1×

saturated

end176.0ms (0.3%)

Stop Event

1×

fuel

Compiler

Compiled 485 to 304 computations (37.3% saved)

Details

analyze12.9s (18.9%)

sample48.1s (70.5%)

preprocess57.0ms (0.1%)

simplify22.0ms (0%)

prune11.0ms (0%)

localize40.0ms (0.1%)

series2.6s (3.8%)

rewrite85.0ms (0.1%)

simplify203.0ms (0.3%)

prune901.0ms (1.3%)

localize0.0ms (0%)

prune40.0ms (0.1%)

localize9.0ms (0%)

series225.0ms (0.3%)

rewrite59.0ms (0.1%)

simplify46.0ms (0.1%)

prune175.0ms (0.3%)

localize7.0ms (0%)

series85.0ms (0.1%)

rewrite58.0ms (0.1%)

simplify48.0ms (0.1%)

prune236.0ms (0.3%)

regimes2.2s (3.2%)

bsearch8.0ms (0%)

simplify3.0ms (0%)

end176.0ms (0.3%)

Profiling