Details

analyze1.7s (11.3%)

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)

sample88.0ms (0.6%)

Algorithm

1×

intervals

Results

22.0ms	199×	body	128	valid
16.0ms	31×	body	1024	valid
7.0ms	51×	body	128	invalid
5.0ms	10×	body	1024	invalid
5.0ms	17×	body	512	valid
2.0ms	9×	body	256	valid
2.0ms	6×	body	512	invalid
2.0ms	7×	body	256	invalid

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify126.0ms (0.8%)

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

prune2.0ms (0%)

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

26.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	26.8b	(/.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)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
5.0b	(.f64 (.f64 x (pow.f64 s 2)) x)
7.4b	(*.f64 x (pow.f64 s 2))
18.4b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

rewrite281.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

14.1b

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:

9.0ms	(/.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))

Compiler

Compiled 2577 to 1765 computations (31.5% saved)

series217.0ms (1.4%)

Error

26.4b

Counts

4 → 33

Calls

4 calls:

95.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
56.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
26.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
25.0ms	(*.f64 x (pow.f64 s 2))

Compiler

Compiled 1425 to 1114 computations (21.8% saved)

simplify242.0ms (1.6%)

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

160 → 149

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	3334
1	423	2860
2	1479	2843
3	4565	2827
4	4972	2827
5	5020	2827

prune151.0ms (1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	135	14	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	14	150

Error

13.1b

Counts

150 → 14

Alt Table

Status	Error	Program
	30.6b	(/.f64 (cos.f64 (.f64 2 x)) (expm1.f64 (log1p.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))))
	26.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	27.2b	(/.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))))
	22.7b	(/.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)))
	30.4b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (.f64 (.f64 s s) (.f64 (.f64 c c) (*.f64 x x)))))
	29.6b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 x x))))
	21.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) s) x)))
	34.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) (pow.f64 (sqrt.f64 s) 2)) x)))
	30.9b	(.f64 (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))) (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (*.f64 x x))))))
	25.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (.f64 c c) (.f64 (.f64 s s) x)) x))
▶	19.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
	53.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 (sqrt.f64 c) 2) (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	29.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 c 2)) (cbrt.f64 (pow.f64 c 2))) (.f64 (.f64 (.f64 s s) (.f64 x x)) (cbrt.f64 (.f64 c c)))))
	57.8b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (fma.f64 2 (+.f64 (log.f64 c) (log.f64 s)) (.f64 2 (log.f64 x)))))

Compiler

Compiled 2160 to 1070 computations (50.5% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b

(*.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)))))

18.4b

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

rewrite219.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

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

7.0ms

(/.f64 (cos.f64 (*.f64 2 x)) (*.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)))

Compiler

Compiled 2228 to 938 computations (57.9% saved)

series105.0ms (0.7%)

Error

13.1b

Counts

3 → 27

Calls

3 calls:

56.0ms

(/.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))))

12.0ms

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

Compiler

Compiled 1158 to 866 computations (25.2% saved)

simplify120.0ms (0.8%)

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

121 → 103

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	2635
1	328	2231
2	1609	2177
3	4310	2123
4	4981	2123
5	5021	2123

prune98.0ms (0.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	94	9	103
Fresh	11	2	13
Picked	1	0	1
Done	0	0	0
Total	106	11	117

Error

1.2b

Counts

117 → 11

Alt Table

Status	Error	Program
	19.7b	(.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (.f64 c c)) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (pow.f64 (fabs.f64 (*.f64 s x)) 2)))
	50.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 (sqrt.f64 c) 2) (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	12.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	14.9b	(/.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))))
▶	1.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 c (.f64 s x))) (fabs.f64 (.f64 c (.f64 s x)))))
	30.9b	(.f64 (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))) (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (*.f64 x x))))))
	19.5b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c c)) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x))))
	25.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (.f64 c c) (.f64 (.f64 s s) x)) x))
	5.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	19.7b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))
	22.3b	(.f64 (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2)))) (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c c) (pow.f64 (fabs.f64 (*.f64 s x)) 2)))))

Compiler

Compiled 1796 to 1009 computations (43.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (fabs.f64 (.f64 c (.f64 s x))) (fabs.f64 (.f64 c (*.f64 s x))))
0.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 c (.f64 s x))) (fabs.f64 (.f64 c (.f64 s x)))))
3.8b	(.f64 c (.f64 s x))
3.8b	(.f64 c (.f64 s x))

rewrite191.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

21×	`add-cbrt-cube_binary64`
21×	`add-exp-log_binary64`
21×	`pow1_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`

Counts

4 → 96

Calls

4 calls:

6.0ms	(.f64 (fabs.f64 (.f64 c (.f64 s x))) (fabs.f64 (.f64 c (*.f64 s x))))
5.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 c (.f64 s x))) (fabs.f64 (.f64 c (.f64 s x)))))
4.0ms	(.f64 c (.f64 s x))
4.0ms	(.f64 c (.f64 s x))

Compiler

Compiled 2204 to 638 computations (71.1% saved)

series117.0ms (0.8%)

Error

0.2b

Counts

4 → 39

Calls

4 calls:

49.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 c (.f64 s x))) (fabs.f64 (.f64 c (.f64 s x)))))
22.0ms	(.f64 (fabs.f64 (.f64 c (.f64 s x))) (fabs.f64 (.f64 c (*.f64 s x))))
18.0ms	(.f64 c (.f64 s x))
17.0ms	(.f64 c (.f64 s x))

Compiler

Compiled 1655 to 1040 computations (37.2% saved)

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

417×	`*-commutative_binary64`
376×	`fma-def_binary64`
369×	`associate-/l/_binary64`
247×	`associate-*l/_binary64`
244×	`log-prod_binary64`

Counts

135 → 111

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	2304
1	308	1975
2	1486	1927
3	4376	1925
4	4966	1925

prune112.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	102	9	111
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	109	13	122

Error

0.0b

Counts

122 → 13

Alt Table

Status	Error	Program
▶	1.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (.f64 s x) (cbrt.f64 c)))) (fabs.f64 (.f64 c (.f64 s x)))))
	12.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	3.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2))) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2)))) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 2))))
	19.5b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c c)) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x))))
	3.0b	(/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (/.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2) (cbrt.f64 (cos.f64 (.f64 x 2)))))
	5.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	3.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 (.f64 s c) x)) (fabs.f64 (.f64 c (.f64 s x)))))
	22.3b	(.f64 (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2)))) (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c c) (pow.f64 (fabs.f64 (*.f64 s x)) 2)))))
	21.4b	(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 x 2))) (fabs.f64 (.f64 s (.f64 c x)))) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 2))) (fabs.f64 (.f64 s (*.f64 c x)))))
	3.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 c (.f64 s x))) (fabs.f64 (.f64 s (.f64 c x)))))
	3.4b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 c x)))) (fabs.f64 (.f64 c (*.f64 s x))))
	3.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2)) (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2))) (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 2))))
	2.8b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2)))

Compiler

Compiled 2130 to 1027 computations (51.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 c)
1.3b	(.f64 (.f64 s x) (cbrt.f64 c))
2.8b	(.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (.f64 s x) (cbrt.f64 c)))
3.8b	(.f64 c (.f64 s x))

rewrite166.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

35×	`add-exp-log_binary64`
35×	`pow1_binary64`
23×	`add-cbrt-cube_binary64`
21×	`cbrt-unprod_binary64`
21×	`prod-exp_binary64`

Counts

4 → 86

Calls

4 calls:

9.0ms	(.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (.f64 s x) (cbrt.f64 c)))
6.0ms	(.f64 (.f64 s x) (cbrt.f64 c))
5.0ms	(.f64 c (.f64 s x))
1.0ms	(cbrt.f64 c)

Compiler

Compiled 2330 to 682 computations (70.7% saved)

series122.0ms (0.8%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

46.0ms	(.f64 (.f64 s x) (cbrt.f64 c))
27.0ms	(.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (.f64 s x) (cbrt.f64 c)))
19.0ms	(.f64 c (.f64 s x))
14.0ms	(cbrt.f64 c)

Compiler

Compiled 1866 to 1096 computations (41.3% saved)

simplify143.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

752×	`fma-def_binary64`
527×	`*-commutative_binary64`
401×	`unswap-sqr_binary64`
301×	`associate-l_binary64`
275×	`associate-r_binary64`

Counts

116 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1214
1	277	983
2	1054	980
3	1803	980
4	4617	980
5	5171	980

prune117.0ms (0.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	79	14	93

Error

0.0b

Counts

93 → 14

Alt Table

Status	Error	Program
	1.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (.f64 s x) (cbrt.f64 c)))) (fabs.f64 (.f64 c (.f64 s x)))))
	12.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	3.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2))) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2)))) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 2))))
	19.5b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c c)) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x))))
	3.0b	(/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (/.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2) (cbrt.f64 (cos.f64 (.f64 x 2)))))
	5.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	3.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 (.f64 s c) x)) (fabs.f64 (.f64 c (.f64 s x)))))
	22.3b	(.f64 (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2)))) (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c c) (pow.f64 (fabs.f64 (*.f64 s x)) 2)))))
	2.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (.f64 s x) (cbrt.f64 c)))) (fabs.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (.f64 s x) (cbrt.f64 c))))))
	21.4b	(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 x 2))) (fabs.f64 (.f64 s (.f64 c x)))) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 2))) (fabs.f64 (.f64 s (*.f64 c x)))))
	3.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 c (.f64 s x))) (fabs.f64 (.f64 s (.f64 c x)))))
	3.4b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 c x)))) (fabs.f64 (.f64 c (*.f64 s x))))
	3.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2)) (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2))) (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 2))))
	2.8b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2)))

Compiler

Compiled 1288 to 533 computations (58.6% saved)

regimes7.0s (46.2%)

Accuracy

Total 2.3b remaining (95.5%)

Threshold costs 0b (0%)

Compiler

Compiled 38409 to 24235 computations (36.9% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`fabs-mul_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	18	28
2	23	28
3	23	28

end18.0ms (0.1%)

Remove: (sort c s)
Compiler: Compiled 63 to 33 computations (47.6% saved)

sample3.6s (24%)

Algorithm

1×

intervals

Results

856.0ms	192×	body	1024	invalid
789.0ms	6109×	body	128	valid
595.0ms	959×	body	1024	valid
258.0ms	647×	body	512	valid
243.0ms	1935×	body	128	invalid
100.0ms	253×	body	512	invalid
74.0ms	283×	body	256	valid
38.0ms	152×	body	256	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 425 to 265 computations (37.6% saved)

Details

analyze1.7s (11.3%)

sample88.0ms (0.6%)

simplify126.0ms (0.8%)

prune2.0ms (0%)

localize11.0ms (0.1%)

rewrite281.0ms (1.9%)

series217.0ms (1.4%)

simplify242.0ms (1.6%)

prune151.0ms (1%)

localize11.0ms (0.1%)

rewrite219.0ms (1.4%)

series105.0ms (0.7%)

simplify120.0ms (0.8%)

prune98.0ms (0.6%)

localize16.0ms (0.1%)

rewrite191.0ms (1.3%)

series117.0ms (0.8%)

simplify102.0ms (0.7%)

prune112.0ms (0.7%)

localize16.0ms (0.1%)

rewrite166.0ms (1.1%)

series122.0ms (0.8%)

simplify143.0ms (0.9%)

prune117.0ms (0.8%)

regimes7.0s (46.2%)

simplify5.0ms (0%)

end18.0ms (0.1%)

sample3.6s (24%)

Profiling