Details

analyze14.3s (14.5%)

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)

sample1.3s (1.4%)

Algorithm

1×

intervals

Results

357.0ms	43×	body	4096	valid
297.0ms	62×	body	2048	valid
198.0ms	27×	body	4096	invalid
142.0ms	29×	body	2048	invalid
82.0ms	26×	body	1024	valid
74.0ms	112×	body	128	valid
74.0ms	22×	body	1024	invalid
21.0ms	35×	body	128	invalid
18.0ms	9×	body	512	invalid
18.0ms	9×	body	512	valid
15.0ms	1×	body	8192	valid
9.0ms	7×	body	256	invalid
3.0ms	3×	body	256	valid

Compiler

Compiled 234 to 172 computations (26.5% saved)

simplify46.0ms (0%)

Algorithm

1×	egg-herbie

Rules

600×	`associate-/l/_binary64`
529×	`associate-/r/_binary64`
282×	`div-sub_binary64`
263×	`distribute-rgt-in_binary64`
260×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	175
1	104	173
2	316	173
3	1431	170
4	4673	170
5	5335	170

prune12.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

42.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	45.1b	(fma.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)) x-scale) x-scale) (.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) -4) (.f64 (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)) (.f64 x-scale y-scale)) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)) (.f64 x-scale y-scale))) (.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)))))))
▶	42.6b	(-.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

45.1b

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

▶

42.6b

(-.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 459 computations (31.5% saved)

localize44.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	24.0b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
	24.0b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
✓	24.0b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
✓	29.9b	(-.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)))

rewrite37.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`associate-*r/_binary64`
9×	`frac-sub_binary64`
7×	`associate-*l/_binary64`
6×	`frac-times_binary64`
4×	`add-log-exp_binary64`

Counts

2 → 36

Calls

2 calls:

29.0ms

(-.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)))

1.0ms

(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

series4.4s (4.4%)

Counts

2 → 72

Calls

2 calls:

4.4s

(-.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)))

3.0ms

(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify268.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

451×	`times-frac_binary64`
398×	`associate-r_binary64`
387×	`associate-/l*_binary64`
289×	`associate-l_binary64`
268×	`associate-/r*_binary64`

Counts

108 → 203

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	380	18904
1	1197	15920
2	5112	15920

prune480.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	289	7	296
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	290	8	298

Error

27.0b

Counts

298 → 8

Alt Table

Status	Error	Program
	39.3b	(/.f64 (-.f64 0 (fma.f64 4 (/.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (.f64 b b))) (.f64 y-scale y-scale)) (fma.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (.f64 (.f64 a a) (.f64 b b))) (.f64 y-scale y-scale)) (.f64 8 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 b b)))) (.f64 y-scale y-scale)))))) (.f64 x-scale x-scale))
	41.9b	(-.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))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) (cbrt.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)))) (cbrt.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)))
	45.1b	(fma.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)) x-scale) x-scale) (.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) -4) (.f64 (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)) (.f64 x-scale y-scale)) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)) (.f64 x-scale y-scale))) (.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)))))))
	43.6b	(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) x-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) x-scale) y-scale) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)) y-scale) (.f64 -4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)) (*.f64 x-scale x-scale))))) y-scale)
	39.6b	(.f64 -1 (.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 (pow.f64 (sin.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 (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))))) (pow.f64 a 2)))
▶	30.8b	0
	42.0b	(/.f64 (.f64 y-scale (-.f64 (.f64 x-scale (.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) x-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) x-scale) y-scale))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)) x-scale))))) (.f64 y-scale (*.f64 y-scale x-scale)))
	40.3b	(.f64 (fma.f64 4 (.f64 (/.f64 (.f64 a a) (.f64 x-scale x-scale)) (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (.f64 y-scale y-scale)) (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (.f64 y-scale y-scale)))) (.f64 8 (/.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2))) (.f64 (.f64 y-scale y-scale) (.f64 x-scale x-scale))))) (neg.f64 (.f64 b b)))

Compiler

Compiled 20494 to 13919 computations (32.1% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify16.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune32.0ms (0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	0	0
Total	8	8

Error

27.0b

Counts

8 → 8

Alt Table

Status	Error	Program
▶	39.3b	(/.f64 (-.f64 0 (fma.f64 4 (/.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (.f64 b b))) (.f64 y-scale y-scale)) (fma.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (.f64 (.f64 a a) (.f64 b b))) (.f64 y-scale y-scale)) (.f64 8 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 b b)))) (.f64 y-scale y-scale)))))) (.f64 x-scale x-scale))
	41.9b	(-.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))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) (cbrt.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)))) (cbrt.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)))
	45.1b	(fma.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)) x-scale) x-scale) (.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) -4) (.f64 (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)) (.f64 x-scale y-scale)) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)) (.f64 x-scale y-scale))) (.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)))))))
	43.6b	(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) x-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) x-scale) y-scale) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)) y-scale) (.f64 -4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)) (*.f64 x-scale x-scale))))) y-scale)
	39.6b	(.f64 -1 (.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 (pow.f64 (sin.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 (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))))) (pow.f64 a 2)))
✓	30.8b	0
	42.0b	(/.f64 (.f64 y-scale (-.f64 (.f64 x-scale (.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) x-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) x-scale) y-scale))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)) x-scale))))) (.f64 y-scale (*.f64 y-scale x-scale)))
	40.3b	(.f64 (fma.f64 4 (.f64 (/.f64 (.f64 a a) (.f64 x-scale x-scale)) (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (.f64 y-scale y-scale)) (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (.f64 y-scale y-scale)))) (.f64 8 (/.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2))) (.f64 (.f64 y-scale y-scale) (.f64 x-scale x-scale))))) (neg.f64 (.f64 b b)))

Compiler

Compiled 1448 to 974 computations (32.7% saved)

localize40.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	24.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
✓	24.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
	24.3b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
✓	24.3b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite3.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`
2×	`add-exp-log_binary64`

Counts

2 → 18

Calls

2 calls:

1.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
1.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

series5.0ms (0%)

Counts

2 → 8

Calls

2 calls:

3.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
2.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

simplify66.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-neg_binary64`
608×	`distribute-rgt-neg-in_binary64`
598×	`distribute-lft-neg-in_binary64`
425×	`associate-r_binary64`
394×	`associate-l_binary64`

Counts

26 → 34

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	73	504
1	179	458
2	522	452
3	2292	452
4	4894	443
5	5189	443

prune191.0ms (0.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	68	8	76

Error

27.0b

Counts

76 → 8

Alt Table

Status	Error	Program
✓	39.3b	(/.f64 (-.f64 0 (fma.f64 4 (/.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (.f64 b b))) (.f64 y-scale y-scale)) (fma.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (.f64 (.f64 a a) (.f64 b b))) (.f64 y-scale y-scale)) (.f64 8 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 b b)))) (.f64 y-scale y-scale)))))) (.f64 x-scale x-scale))
	41.9b	(-.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))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) (cbrt.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)))) (cbrt.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)))
	45.1b	(fma.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)) x-scale) x-scale) (.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) -4) (.f64 (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)) (.f64 x-scale y-scale)) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)) (.f64 x-scale y-scale))) (.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)))))))
	43.6b	(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) x-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) x-scale) y-scale) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)) y-scale) (.f64 -4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)) (*.f64 x-scale x-scale))))) y-scale)
▶	39.6b	(.f64 -1 (.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 (pow.f64 (sin.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 (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))))) (pow.f64 a 2)))
✓	30.8b	0
	42.0b	(/.f64 (.f64 y-scale (-.f64 (.f64 x-scale (.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) x-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) x-scale) y-scale))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)) x-scale))))) (.f64 y-scale (*.f64 y-scale x-scale)))
	40.3b	(.f64 (fma.f64 4 (.f64 (/.f64 (.f64 a a) (.f64 x-scale x-scale)) (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (.f64 y-scale y-scale)) (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (.f64 y-scale y-scale)))) (.f64 8 (/.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2))) (.f64 (.f64 y-scale y-scale) (.f64 x-scale x-scale))))) (neg.f64 (.f64 b b)))

Compiler

Compiled 7461 to 3977 computations (46.7% saved)

localize37.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	24.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
	24.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
	24.3b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
	24.3b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune222.0ms (0.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	204	8	212

Error

27.0b

Counts

212 → 8

Alt Table

Status	Error	Program
✓	39.3b	(/.f64 (-.f64 0 (fma.f64 4 (/.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (.f64 b b))) (.f64 y-scale y-scale)) (fma.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (.f64 (.f64 a a) (.f64 b b))) (.f64 y-scale y-scale)) (.f64 8 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 (.f64 a a) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 b b)))) (.f64 y-scale y-scale)))))) (.f64 x-scale x-scale))
	41.9b	(-.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))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) (cbrt.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)))) (cbrt.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)))
	45.1b	(fma.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)) x-scale) x-scale) (.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) -4) (.f64 (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)) (.f64 x-scale y-scale)) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) PI.f64)) (.f64 x-scale y-scale))) (.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)))))))
	43.6b	(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) x-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) x-scale) y-scale) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)) y-scale) (.f64 -4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)) (*.f64 x-scale x-scale))))) y-scale)
✓	39.6b	(.f64 -1 (.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (.f64 (pow.f64 (sin.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 (.f64 4 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))))) (pow.f64 a 2)))
✓	30.8b	0
	42.0b	(/.f64 (.f64 y-scale (-.f64 (.f64 x-scale (.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) x-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) x-scale) y-scale))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)) y-scale) (.f64 4 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)) x-scale))))) (.f64 y-scale (*.f64 y-scale x-scale)))
	40.3b	(.f64 (fma.f64 4 (.f64 (/.f64 (.f64 a a) (.f64 x-scale x-scale)) (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (.f64 y-scale y-scale)) (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 4) (.f64 y-scale y-scale)))) (.f64 8 (/.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) 2))) (.f64 (.f64 y-scale y-scale) (.f64 x-scale x-scale))))) (neg.f64 (.f64 b b)))

Compiler

Compiled 6962 to 5102 computations (26.7% saved)

regimes1.7s (1.7%)

Accuracy

Total 3.8b remaining (12.9%)

Threshold costs 0b (0%)

Compiler

Compiled 71345 to 50985 computations (28.5% saved)

bsearch13.0ms (0%)

Compiler: Compiled 114 to 83 computations (27.2% saved)

simplify18.0ms (0%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
21×	`+-commutative_binary64`
19×	`sub-neg_binary64`
17×	`neg-sub0_binary64`
17×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	306
1	107	306
2	136	306
3	157	306
4	176	306
5	195	306
6	213	306
7	223	306
8	227	306
9	226	306

end3.0ms (0%)

Compiler: Compiled 198 to 128 computations (35.4% saved)

sample1.3min (76.3%)

Algorithm

1×

intervals

Results

19.1s	1442×	body	4096	valid
14.7s	1734×	body	2048	valid
10.9s	802×	body	4096	invalid
9.1s	1123×	body	2048	invalid
4.8s	840×	body	1024	valid
3.9s	3423×	body	128	valid
3.9s	694×	body	1024	invalid
1.9s	63×	body	8192	valid
1.3s	338×	body	512	valid
1.0s	1021×	body	128	invalid
916.0ms	265×	body	512	invalid
863.0ms	30×	body	8192	invalid
331.0ms	160×	body	256	valid
283.0ms	130×	body	256	invalid

Compiler

Compiled 1045 to 707 computations (32.3% saved)

Iter	Nodes	Cost
0	72	306
1	107	306
2	136	306
3	157	306
4	176	306
5	195	306
6	213	306
7	223	306
8	227	306
9	226	306

Iter	Nodes	Cost
0	72	306
1	107	306
2	136	306
3	157	306
4	176	306
5	195	306
6	213	306
7	223	306
8	227	306
9	226	306

Details

analyze14.3s (14.5%)

sample1.3s (1.4%)

simplify46.0ms (0%)

prune12.0ms (0%)

localize44.0ms (0%)

rewrite37.0ms (0%)

series4.4s (4.4%)

simplify268.0ms (0.3%)

prune480.0ms (0.5%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify16.0ms (0%)

prune32.0ms (0%)

localize40.0ms (0%)

rewrite3.0ms (0%)

series5.0ms (0%)

simplify66.0ms (0.1%)

prune191.0ms (0.2%)

localize37.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify10.0ms (0%)

prune222.0ms (0.2%)

regimes1.7s (1.7%)

bsearch13.0ms (0%)

simplify18.0ms (0%)

end3.0ms (0%)

sample1.3min (76.3%)

Profiling

Iter	Nodes	Cost
0	72	306
1	107	306
2	136	306
3	157	306
4	176	306
5	195	306
6	213	306
7	223	306
8	227	306
9	226	306