Details

analyze1.3s (15.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
26.5%	72.9%	0.5%	9
38.2%	60.7%	1.1%	10
41.7%	54.9%	3.4%	11
47.6%	47.4%	5%	12
53.4%	39.4%	7.2%	13
54.9%	34.5%	10.6%	14

Compiler

Compiled 20 to 15 computations (25% saved)

sample238.0ms (2.8%)

Algorithm

1×

intervals

Symmetry

(sort c s)

Results

20.0ms	204×	body	128	valid
13.0ms	27×	body	1024	valid
6.0ms	16×	body	512	valid
6.0ms	8×	body	512	invalid
5.0ms	55×	body	128	invalid
4.0ms	8×	body	1024	invalid
2.0ms	9×	body	256	valid
1.0ms	8×	body	256	invalid

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify112.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

750×	`unswap-sqr_binary64`
704×	`sqr-pow_binary64`
582×	`*-commutative_binary64`
574×	`fabs-mul_binary64`
502×	`cube-prod_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	29	24
2	68	24
3	214	24
4	833	24
5	1367	24
6	2084	24
7	2149	24
8	2230	24
9	2331	24
10	2464	24
11	2501	24
12	2580	24
13	2853	24
14	3277	24
15	3804	24
16	4518	24
17	4911	24

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

29.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	29.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))

Compiler

Compiled 73 to 51 computations (30.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
✓	6.0b	(.f64 (.f64 x (pow.f64 s 2)) x)
✓	9.5b	(*.f64 x (pow.f64 s 2))
✓	17.9b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

series206.0ms (2.4%)

Counts

4 → 120

Calls

4 calls:

149.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
37.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
11.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
8.0ms	(*.f64 x (pow.f64 s 2))

rewrite37.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

122×	`add-exp-log_binary64`
82×	`prod-exp_binary64`
34×	`add-cbrt-cube_binary64`
18×	`add-sqr-sqrt_binary64`
18×	`pow-exp_binary64`

Counts

4 → 127

Calls

4 calls:

11.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
8.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
5.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
4.0ms	(*.f64 x (pow.f64 s 2))

simplify149.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

709×	`associate-/l*_binary64`
426×	`*-commutative_binary64`
391×	`fma-def_binary64`
263×	`associate-/l/_binary64`
226×	`associate-l_binary64`

Counts

247 → 187

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	4648
1	423	4174
2	1479	4157
3	4565	4141
4	4972	4141
5	5020	4141

prune248.0ms (2.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	173	14	187
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	174	14	188

Error

12.2b

Counts

188 → 14

Alt Table

Status	Error	Program
	29.6b	(.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (pow.f64 s 2)) x)))
	24.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (.f64 x (.f64 s (cbrt.f64 s))) (pow.f64 (cbrt.f64 s) 2)) x)))
	46.4b	(/.f64 (cos.f64 (*.f64 2 x)) (exp.f64 (+.f64 (log.f64 (pow.f64 c 2)) (+.f64 (+.f64 (log.f64 x) (log.f64 (pow.f64 s 2))) (log.f64 x)))))
	52.5b	(exp.f64 (-.f64 (log.f64 (cos.f64 (.f64 2 x))) (+.f64 (log.f64 (pow.f64 c 2)) (+.f64 (+.f64 (log.f64 x) (.f64 (log.f64 s) 2)) (log.f64 x)))))
	30.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	58.8b	(exp.f64 (-.f64 (log.f64 (cos.f64 (.f64 2 x))) (+.f64 (.f64 (log.f64 c) 2) (+.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 s) 2)) (log.f64 x)))))
	26.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
▶	19.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
	22.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x s) s) x)))
	33.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) (pow.f64 (sqrt.f64 s) 2)) x)))
	32.7b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))))
	46.9b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (+.f64 (log.f64 (pow.f64 c 2)) (+.f64 (+.f64 (log.f64 x) (.f64 (log.f64 s) 2)) (log.f64 x)))))
	57.6b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (fma.f64 2 (+.f64 (log.f64 c) (log.f64 s)) (.f64 2 (log.f64 x)))))
	27.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))

Compiler

Compiled 4966 to 3000 computations (39.6% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))
✓	0.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
✓	17.9b	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))

series228.0ms (2.7%)

Counts

3 → 96

Calls

3 calls:

182.0ms

(/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (pow.f64 c 2) (*.f64 (fabs.f64 (*.f64 s x)) (fabs.f64 (*.f64 s x)))))

31.0ms

(*.f64 (pow.f64 c 2) (*.f64 (fabs.f64 (*.f64 s x)) (fabs.f64 (*.f64 s x))))

15.0ms

(*.f64 (fabs.f64 (*.f64 s x)) (fabs.f64 (*.f64 s x)))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
19×	`prod-exp_binary64`
15×	`add-sqr-sqrt_binary64`
12×	`associate-l_binary64`

Counts

3 → 94

Calls

3 calls:

7.0ms

(/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (pow.f64 c 2) (*.f64 (fabs.f64 (*.f64 s x)) (fabs.f64 (*.f64 s x)))))

6.0ms

(*.f64 (pow.f64 c 2) (*.f64 (fabs.f64 (*.f64 s x)) (fabs.f64 (*.f64 s x))))

4.0ms

(*.f64 (fabs.f64 (*.f64 s x)) (fabs.f64 (*.f64 s x)))

simplify128.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

444×	`unswap-sqr_binary64`
365×	`associate-/l/_binary64`
258×	`associate-*r/_binary64`
247×	`fma-def_binary64`
237×	`associate-*l/_binary64`

Counts

190 → 146

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	3754
1	328	3350
2	1609	3296
3	4310	3242
4	4981	3242
5	5021	3242

prune306.0ms (3.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	134	12	146
Fresh	8	5	13
Picked	1	0	1
Done	0	0	0
Total	143	17	160

Error

3.6b

Counts

160 → 17

Alt Table

Status	Error	Program
	19.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (cbrt.f64 (fabs.f64 (.f64 s x))) 5) (cbrt.f64 (fabs.f64 (*.f64 s x))))))
	15.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
	29.6b	(.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (pow.f64 s 2)) x)))
	46.4b	(/.f64 (cos.f64 (*.f64 2 x)) (exp.f64 (+.f64 (log.f64 (pow.f64 c 2)) (+.f64 (+.f64 (log.f64 x) (log.f64 (pow.f64 s 2))) (log.f64 x)))))
	57.6b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (fma.f64 2 (+.f64 (log.f64 c) (log.f64 s)) (.f64 2 (log.f64 x)))))
	14.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	30.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	21.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 s) (.f64 (fabs.f64 x) (fabs.f64 (*.f64 s x))))))
	26.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	50.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 (sqrt.f64 c) 2) (fabs.f64 (.f64 s x))) (.f64 (pow.f64 (sqrt.f64 c) 2) (fabs.f64 (.f64 s x)))))
	19.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2))) (cbrt.f64 (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2)))) (cbrt.f64 (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2)))))
	54.1b	(exp.f64 (fma.f64 -2 (log.f64 (.f64 c (fabs.f64 (.f64 s x)))) (log.f64 (cos.f64 (*.f64 2 x)))))
	6.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
▶	4.1b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	28.5b	(cbrt.f64 (/.f64 (.f64 (.f64 (cos.f64 (.f64 2 x)) (cos.f64 (.f64 2 x))) (cos.f64 (.f64 2 x))) (.f64 (.f64 (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x)))) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))))
	15.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) 2) (.f64 (pow.f64 (fabs.f64 (*.f64 s x)) 2) (pow.f64 (cbrt.f64 c) 2))))
	19.2b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))

Compiler

Compiled 4463 to 2222 computations (50.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
✓	0.5b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
✓	5.4b	(.f64 c (fabs.f64 (.f64 s x)))

series204.0ms (2.4%)

Counts

3 → 72

Calls

3 calls:

175.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
20.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
8.0ms	(.f64 c (fabs.f64 (.f64 s x)))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64`

Counts

3 → 86

Calls

3 calls:

4.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
3.0ms	(.f64 c (fabs.f64 (.f64 s x)))
3.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)

simplify98.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-/l*_binary64`
356×	`fma-def_binary64`
308×	`associate-/l/_binary64`
208×	`*-commutative_binary64`
202×	`associate-*r/_binary64`

Counts

158 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	3209
1	295	3090
2	1163	3083
3	4210	3081
4	4954	3081

prune210.0ms (2.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	98	9	107
Fresh	9	7	16
Picked	1	0	1
Done	0	0	0
Total	108	16	124

Error

0.1b

Counts

124 → 16

Alt Table

Status	Error	Program
	3.9b	(.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (.f64 c (fabs.f64 (.f64 s x)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (.f64 c (fabs.f64 (*.f64 s x)))))
	15.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
	29.6b	(.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (pow.f64 s 2)) x)))
	4.7b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (.f64 c (.f64 (cbrt.f64 (fabs.f64 (.f64 s x))) (cbrt.f64 (fabs.f64 (.f64 s x))))) (cbrt.f64 (fabs.f64 (*.f64 s x)))) 2))
	22.8b	(/.f64 (cos.f64 (.f64 2 x)) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 6)))
	4.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))))
	26.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	19.2b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (pow.f64 (fabs.f64 (.f64 s x)) 2))
	12.6b	(.f64 (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2))) (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))))
	19.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2))) (cbrt.f64 (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2)))) (cbrt.f64 (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2)))))
	4.1b	(/.f64 1 (/.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2) (cos.f64 (*.f64 2 x))))
▶	3.1b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	6.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	14.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	28.5b	(cbrt.f64 (/.f64 (.f64 (.f64 (cos.f64 (.f64 2 x)) (cos.f64 (.f64 2 x))) (cos.f64 (.f64 2 x))) (.f64 (.f64 (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x)))) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))))
	3.8b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))

Compiler

Compiled 3263 to 1783 computations (45.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)
✓	0.5b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
✓	6.1b	(.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))

series302.0ms (3.6%)

Counts

3 → 108

Calls

3 calls:

258.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
28.0ms	(pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)
16.0ms	(.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
18×	`times-frac_binary64`
18×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`

Counts

3 → 92

Calls

3 calls:

6.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
5.0ms	(.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))
5.0ms	(pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)

simplify127.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

480×	`associate-/l/_binary64`
283×	`associate-*l/_binary64`
273×	`fma-def_binary64`
266×	`unswap-sqr_binary64`
245×	`log-prod_binary64`

Counts

200 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	4049
1	361	3907
2	1756	3439
3	4338	3439
4	4950	3439

prune312.0ms (3.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	150	7	157
Fresh	5	10	15
Picked	0	1	1
Done	0	0	0
Total	155	18	173

Error

0.0b

Counts

173 → 18

Alt Table

Status	Error	Program
	11.9b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))) (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)))) 2))
	22.8b	(/.f64 (cos.f64 (.f64 2 x)) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 6)))
	4.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))))
	14.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	6.8b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 (cbrt.f64 (pow.f64 (.f64 c (.f64 (fabs.f64 s) x)) 2)) (cbrt.f64 (pow.f64 (.f64 c (.f64 (fabs.f64 s) x)) 2)))) (cbrt.f64 (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)))
	3.8b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
	2.9b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))) (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)))
	26.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	19.2b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (pow.f64 (fabs.f64 (.f64 s x)) 2))
	21.7b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 s)) 2)) (pow.f64 (fabs.f64 x) 2))
	19.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2))) (cbrt.f64 (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2)))) (cbrt.f64 (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2)))))
	4.1b	(/.f64 1 (/.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2) (cos.f64 (*.f64 2 x))))
✓	3.1b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	6.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	3.3b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (.f64 (.f64 c (fabs.f64 s)) (sqrt.f64 (fabs.f64 x))) (sqrt.f64 (fabs.f64 x))) 2))
	29.6b	(.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (pow.f64 s 2)) x)))
	3.5b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)) (cbrt.f64 (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)))) (cbrt.f64 (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)))
	19.7b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (fabs.f64 s) x))) (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)))

Compiler

Compiled 4030 to 2073 computations (48.6% saved)

regimes1.5s (17.5%)

Accuracy

Total 0.7b remaining (88.7%)

Threshold costs 0.7b (88.7%)

Counts

167 → 2

Compiler

Compiled 26807 to 18288 computations (31.8% saved)

bsearch8.0ms (0.1%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	89
1	37	89
2	38	89
3	38	89

end8.0ms (0.1%)

Compiler: Compiled 180 to 102 computations (43.3% saved)

sample2.6s (31.3%)

Algorithm

1×

intervals

Results

637.0ms	6173×	body	128	valid
469.0ms	934×	body	1024	valid
187.0ms	1822×	body	128	invalid
163.0ms	569×	body	512	valid
100.0ms	216×	body	1024	invalid
70.0ms	321×	body	256	valid
70.0ms	236×	body	512	invalid
35.0ms	168×	body	256	invalid
3.0ms	3×	body	2048	valid

Compiler

Compiled 541 to 342 computations (36.8% saved)

Details

analyze1.3s (15.2%)

sample238.0ms (2.8%)

simplify112.0ms (1.3%)

prune3.0ms (0%)

localize10.0ms (0.1%)

series206.0ms (2.4%)

rewrite37.0ms (0.4%)

simplify149.0ms (1.8%)

prune248.0ms (2.9%)

localize14.0ms (0.2%)

series228.0ms (2.7%)

rewrite24.0ms (0.3%)

simplify128.0ms (1.5%)

prune306.0ms (3.6%)

localize9.0ms (0.1%)

series204.0ms (2.4%)

rewrite15.0ms (0.2%)

simplify98.0ms (1.2%)

prune210.0ms (2.5%)

localize10.0ms (0.1%)

series302.0ms (3.6%)

rewrite21.0ms (0.2%)

simplify127.0ms (1.5%)

prune312.0ms (3.7%)

regimes1.5s (17.5%)

bsearch8.0ms (0.1%)

simplify3.0ms (0%)

end8.0ms (0.1%)

sample2.6s (31.3%)

Profiling