Details

analyze1.4s (16.1%)

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)

sample59.0ms (0.7%)

Algorithm

1×

intervals

Results

14.0ms	195×	body	128	valid
9.0ms	28×	body	1024	valid
5.0ms	20×	body	512	valid
4.0ms	56×	body	128	invalid
2.0ms	13×	body	256	valid
2.0ms	6×	body	1024	invalid
1.0ms	5×	body	512	invalid
0.0ms	2×	body	256	invalid

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify125.0ms (1.4%)

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 → 1

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

prune8.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

27.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	27.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))

Compiler

Compiled 57 to 40 computations (29.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
5.6b	(.f64 (.f64 x (pow.f64 s 2)) x)
7.2b	(*.f64 x (pow.f64 s 2))
17.5b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

rewrite222.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

12.6b

Rules

122×	`add-exp-log_binary64`
82×	`prod-exp_binary64`
34×	`add-cbrt-cube_binary64`
18×	`pow-to-exp_binary64` `pow-exp_binary64` `add-sqr-sqrt_binary64`
16×	`cbrt-unprod_binary64` `div-exp_binary64`

Counts

4 → 119

Calls

4 calls:

11.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
10.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
6.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
6.0ms	(*.f64 x (pow.f64 s 2))

Compiler

Compiled 2433 to 1661 computations (31.7% saved)

series162.0ms (1.8%)

Error

26.5b

Counts

4 → 31

Calls

4 calls:

74.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
42.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
20.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
19.0ms	(*.f64 x (pow.f64 s 2))

Compiler

Compiled 1277 to 996 computations (22% saved)

simplify130.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

606×	`associate-/l*_binary64`
414×	`*-commutative_binary64`
245×	`exp-prod_binary64`
239×	`log-prod_binary64`
232×	`associate-/l/_binary64`

Counts

150 → 139

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	167	3071
1	375	2589
2	1319	2584
3	4019	2505
4	4814	2489
5	5017	2489

prune103.0ms (1.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	126	13	139
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	13	140

Error

2.4b

Counts

140 → 13

Alt Table

Status	Error	Program
	30.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (cbrt.f64 (pow.f64 (*.f64 s x) 6))))
	46.6b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 (.f64 s c))))))
	31.5b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 x x))))
	18.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 s x) (*.f64 s x))))
▶	4.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))
	21.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) s) x)))
	27.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	27.5b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c c)) (.f64 (.f64 x (pow.f64 s 2)) x))
	31.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 x x) (.f64 c c))))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 x x) (.f64 c c)))))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 x x) (.f64 c c))))))
	41.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (.f64 s (sqrt.f64 x)) (.f64 s (sqrt.f64 x))) x)))
	28.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 (.f64 s s) (.f64 c c))) x))
	39.7b	(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (.f64 2 x)) 3) (.f64 (pow.f64 c 6) (pow.f64 (*.f64 s x) 6))))
	28.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) 2) (.f64 (.f64 (.f64 s s) (*.f64 x x)) (pow.f64 (cbrt.f64 c) 2))))

Compiler

Compiled 1856 to 951 computations (48.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (*.f64 x c))))
0.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))
6.3b	(.f64 s (.f64 x c))
6.3b	(.f64 s (.f64 x c))

rewrite213.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

21×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`associate-l_binary64`
8×	`prod-exp_binary64` `cbrt-unprod_binary64`

Counts

4 → 88

Calls

4 calls:

8.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))
7.0ms	(.f64 s (.f64 x c))
6.0ms	(.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (*.f64 x c))))
5.0ms	(.f64 s (.f64 x c))

Compiler

Compiled 2044 to 588 computations (71.2% saved)

series153.0ms (1.7%)

Error

2.4b

Counts

4 → 39

Calls

4 calls:

68.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))
27.0ms	(.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (*.f64 x c))))
26.0ms	(.f64 s (.f64 x c))
25.0ms	(.f64 s (.f64 x c))

Compiler

Compiled 1606 to 973 computations (39.4% saved)

simplify114.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

358×	`*-commutative_binary64`
299×	`swap-sqr_binary64`
293×	`associate-/l/_binary64`
257×	`log-prod_binary64`
226×	`associate-*l/_binary64`

Counts

127 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	2202
1	290	1873
2	1340	1829
3	3778	1812
4	4915	1812
5	4974	1812

prune107.0ms (1.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	58	12	70
Fresh	6	6	12
Picked	1	0	1
Done	0	0	0
Total	65	18	83

Error

1.9b

Counts

83 → 18

Alt Table

Status	Error	Program
	30.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (cbrt.f64 (pow.f64 (*.f64 s x) 6))))
	46.6b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 (.f64 s c))))))
	23.6b	(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (.f64 x 2)) 3) (pow.f64 (.f64 s (*.f64 x c)) 6)))
	31.5b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 x x))))
	4.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2))) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2)))) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (*.f64 x c))) 2))))
	4.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2)) (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2))) (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (*.f64 x c))) 2))))
	18.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 s x) (*.f64 s x))))
	19.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 (sqrt.f64 s) (.f64 (*.f64 x c) (sqrt.f64 s))))))
	4.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 (.f64 (cbrt.f64 s) (cbrt.f64 s)) (.f64 (.f64 x c) (cbrt.f64 s))))))
	3.9b	(.f64 (/.f64 1 (fabs.f64 (.f64 s (.f64 x c)))) (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))))
	21.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) s) x)))
	27.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	14.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 s) (.f64 (.f64 (.f64 x c) (.f64 x c)) (fabs.f64 s))))
▶	3.9b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 s (*.f64 x c))))
	4.2b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2)))
	16.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (.f64 s s) (fabs.f64 (.f64 x c))) (fabs.f64 (.f64 x c))))
	22.8b	(/.f64 (sqrt.f64 (cos.f64 (.f64 2 x))) (/.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2) (sqrt.f64 (cos.f64 (.f64 x 2)))))
	4.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (sqrt.f64 (fabs.f64 (.f64 s (.f64 x c)))) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 3/2)))

Compiler

Compiled 1815 to 963 computations (46.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 s (*.f64 x c))))
0.6b	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))
6.3b	(.f64 s (.f64 x c))
6.3b	(.f64 s (.f64 x c))

rewrite433.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

136×	`times-frac_binary64`
72×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
36×	`fabs-mul_binary64`
21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`associate-/l*_binary64`

Counts

4 → 166

Calls

4 calls:

12.0ms	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 s (*.f64 x c))))
5.0ms	(.f64 s (.f64 x c))
5.0ms	(.f64 s (.f64 x c))
4.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))

Compiler

Compiled 5146 to 1772 computations (65.6% saved)

series181.0ms (2%)

Error

1.9b

Counts

4 → 42

Calls

4 calls:

66.0ms	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 s (*.f64 x c))))
48.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))
27.0ms	(.f64 s (.f64 x c))
25.0ms	(.f64 s (.f64 x c))

Compiler

Compiled 1960 to 1058 computations (46% saved)

simplify203.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

390×	`*-commutative_binary64`
367×	`associate-*l/_binary64`
358×	`associate-/r/_binary64`
311×	`associate-*r/_binary64`
262×	`unswap-sqr_binary64`

Counts

208 → 123

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	271	6882
1	603	6520
2	1704	6256
3	3784	6106
4	5061	6106

prune211.0ms (2.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	117	6	123
Fresh	8	9	17
Picked	1	0	1
Done	0	0	0
Total	126	15	141

Error

1.9b

Counts

141 → 15

Alt Table

Status	Error	Program
	30.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (cbrt.f64 (pow.f64 (*.f64 s x) 6))))
	46.6b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 (.f64 s c))))))
	4.6b	(.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (cbrt.f64 (cos.f64 (.f64 x 2)))) (pow.f64 (cbrt.f64 (fabs.f64 (.f64 s (.f64 x c)))) 4)) (/.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (.f64 (cbrt.f64 (fabs.f64 (.f64 s (.f64 x c)))) (cbrt.f64 (fabs.f64 (.f64 s (.f64 x c)))))))
	12.9b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) 3)) (fabs.f64 (.f64 s (*.f64 x c))))
	4.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2))) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2)))) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (*.f64 x c))) 2))))
	4.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2)) (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2))) (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (*.f64 x c))) 2))))
	4.2b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c))))) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))))) (/.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c))))) (fabs.f64 (.f64 s (*.f64 x c)))))
	16.3b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (fabs.f64 (.f64 x c)))) (fabs.f64 (*.f64 x c)))
	19.5b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 (sqrt.f64 s) (.f64 (.f64 x c) (sqrt.f64 s)))))
	4.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 (.f64 (cbrt.f64 s) (cbrt.f64 s)) (.f64 (.f64 x c) (cbrt.f64 s))))))
	3.9b	(.f64 (/.f64 1 (fabs.f64 (.f64 s (.f64 x c)))) (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))))
	21.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) s) x)))
	27.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	14.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 s) (.f64 (.f64 (.f64 x c) (.f64 x c)) (fabs.f64 s))))
▶	3.9b	(.f64 (/.f64 (cos.f64 (.f64 x 2)) (sqrt.f64 (fabs.f64 (.f64 s (.f64 x c))))) (/.f64 1 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 3/2)))

Compiler

Compiled 3125 to 1433 computations (54.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 1 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 3/2))
6.3b	(.f64 s (.f64 x c))
6.3b	(.f64 s (.f64 x c))
12.1b	(sqrt.f64 (fabs.f64 (.f64 s (.f64 x c))))

rewrite270.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

25×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `times-frac_binary64`
23×	`add-exp-log_binary64`
16×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
15×	`pow1_binary64`

Counts

4 → 107

Calls

4 calls:

6.0ms	(/.f64 1 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 3/2))
5.0ms	(.f64 s (.f64 x c))
5.0ms	(.f64 s (.f64 x c))
2.0ms	(sqrt.f64 (fabs.f64 (.f64 s (.f64 x c))))

Compiler

Compiled 3004 to 1304 computations (56.6% saved)

series158.0ms (1.8%)

Error

1.9b

Counts

4 → 36

Calls

4 calls:

67.0ms	(/.f64 1 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 3/2))
30.0ms	(.f64 s (.f64 x c))
29.0ms	(.f64 s (.f64 x c))
27.0ms	(sqrt.f64 (fabs.f64 (.f64 s (.f64 x c))))

Compiler

Compiled 1940 to 1196 computations (38.4% saved)

simplify162.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-l_binary64`
627×	`associate-/l*_binary64`
553×	`associate-/l/_binary64`
480×	`associate-r_binary64`
258×	`unswap-sqr_binary64`

Counts

143 → 70

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	115	2289
1	208	2129
2	522	2101
3	2109	2069
4	4751	2063
5	4904	2063
6	4992	2063
7	4936	2063

prune83.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	3	11	14
Picked	0	1	1
Done	0	0	0
Total	71	14	85

Error

1.9b

Counts

85 → 14

Alt Table

Status	Error	Program
	30.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (cbrt.f64 (pow.f64 (*.f64 s x) 6))))
	46.6b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 (.f64 s c))))))
	12.9b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) 3)) (fabs.f64 (.f64 s (*.f64 x c))))
	4.2b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c))))) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))))) (/.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c))))) (fabs.f64 (.f64 s (*.f64 x c)))))
	16.3b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (fabs.f64 (.f64 x c)))) (fabs.f64 (*.f64 x c)))
	19.5b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 (sqrt.f64 s) (.f64 (.f64 x c) (sqrt.f64 s)))))
	4.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 (.f64 (cbrt.f64 s) (cbrt.f64 s)) (.f64 (.f64 x c) (cbrt.f64 s))))))
	3.9b	(.f64 (/.f64 1 (fabs.f64 (.f64 s (.f64 x c)))) (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))))
	21.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) s) x)))
	27.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	3.9b	(.f64 (/.f64 (cos.f64 (.f64 x 2)) (sqrt.f64 (fabs.f64 (.f64 s (.f64 x c))))) (/.f64 (/.f64 1 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 3/4)) (sqrt.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 3/2))))
	14.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 s) (.f64 (.f64 (.f64 x c) (.f64 x c)) (fabs.f64 s))))
	3.9b	(.f64 (/.f64 (cos.f64 (.f64 x 2)) (sqrt.f64 (fabs.f64 (.f64 s (.f64 x c))))) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) -3/2))
	3.9b	(.f64 (/.f64 (cos.f64 (.f64 x 2)) (sqrt.f64 (fabs.f64 (.f64 s (.f64 x c))))) (/.f64 1 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 3/2)))

Compiler

Compiled 1151 to 558 computations (51.5% saved)

regimes2.3s (25.9%)

Accuracy

Total 1.6b remaining (52.9%)

Threshold costs 0b (0%)

Compiler

Compiled 46886 to 28142 computations (40% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`fabs-mul_binary64` `*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	27	33
2	29	33
3	28	33

end13.0ms (0.1%)

Remove: (sort c s)
Compiler: Compiled 72 to 48 computations (33.3% saved)

sample2.0s (22.4%)

Algorithm

1×

intervals

Results

456.0ms	6015×	body	128	valid
333.0ms	1018×	body	1024	valid
146.0ms	631×	body	512	valid
146.0ms	1887×	body	128	invalid
73.0ms	212×	body	1024	invalid
58.0ms	228×	body	512	invalid
50.0ms	335×	body	256	valid
25.0ms	160×	body	256	invalid
0.0ms	1×	body	2048	valid

Compiler

Compiled 399 to 245 computations (38.6% saved)

Details

analyze1.4s (16.1%)

sample59.0ms (0.7%)

simplify125.0ms (1.4%)

prune8.0ms (0.1%)

localize12.0ms (0.1%)

rewrite222.0ms (2.5%)

series162.0ms (1.8%)

simplify130.0ms (1.5%)

prune103.0ms (1.2%)

localize10.0ms (0.1%)

rewrite213.0ms (2.4%)

series153.0ms (1.7%)

simplify114.0ms (1.3%)

prune107.0ms (1.2%)

localize10.0ms (0.1%)

rewrite433.0ms (4.9%)

series181.0ms (2%)

simplify203.0ms (2.3%)

prune211.0ms (2.4%)

localize17.0ms (0.2%)

rewrite270.0ms (3%)

series158.0ms (1.8%)

simplify162.0ms (1.8%)

prune83.0ms (0.9%)

regimes2.3s (25.9%)

simplify3.0ms (0%)

end13.0ms (0.1%)

sample2.0s (22.4%)

Profiling