Details

analyze2.4s (21.8%)

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)

sample106.0ms (1%)

Algorithm

1×

intervals

Results

28.0ms	207×	body	128	valid
16.0ms	26×	body	1024	valid
8.0ms	60×	body	128	invalid
6.0ms	14×	body	512	valid
5.0ms	9×	body	1024	invalid
3.0ms	7×	body	512	invalid
2.0ms	9×	body	256	valid
0.0ms	1×	body	256	invalid

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify236.0ms (2.2%)

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

prune15.0ms (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

26.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	26.7b	(/.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)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
3.9b	(.f64 (.f64 x (pow.f64 s 2)) x)
8.1b	(*.f64 x (pow.f64 s 2))
17.5b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

rewrite458.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

11.0b

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:

20.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
18.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
11.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
11.0ms	(*.f64 x (pow.f64 s 2))

Compiler

Compiled 2433 to 1661 computations (31.7% saved)

series315.0ms (2.9%)

Error

26.4b

Counts

4 → 31

Calls

4 calls:

141.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
81.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
40.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
38.0ms	(*.f64 x (pow.f64 s 2))

Compiler

Compiled 1277 to 996 computations (22% saved)

simplify140.0ms (1.3%)

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

prune102.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	129	10	139
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	10	140

Error

1.3b

Counts

140 → 10

Alt Table

Status	Error	Program
	26.9b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c c)) (.f64 (.f64 x (pow.f64 s 2)) x))
	32.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) (pow.f64 (sqrt.f64 s) 2)) x)))
	21.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) s) x)))
	22.8b	(/.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)))
	50.6b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 (.f64 s c))))))
	35.3b	(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (.f64 2 x)) 3) (.f64 (pow.f64 c 6) (pow.f64 (*.f64 s x) 6))))
	25.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	27.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 (.f64 s s) (.f64 c c))) x))
	18.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 s x) (*.f64 s x))))
▶	3.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))

Compiler

Compiled 1658 to 847 computations (48.9% 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))))
0.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))
4.3b	(.f64 s (.f64 x c))
4.3b	(.f64 s (.f64 x c))

rewrite176.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

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:

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

Compiler

Compiled 2044 to 588 computations (71.2% saved)

series152.0ms (1.4%)

Error

1.3b

Counts

4 → 38

Calls

4 calls:

69.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))
27.0ms	(.f64 s (.f64 x c))
25.0ms	(.f64 s (.f64 x c))
25.0ms	(.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (*.f64 x c))))

Compiler

Compiled 1551 to 945 computations (39.1% saved)

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Rules

345×	`*-commutative_binary64`
303×	`swap-sqr_binary64`
293×	`associate-/l/_binary64`
257×	`log-prod_binary64`
247×	`exp-prod_binary64`

Counts

126 → 79

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	121	2118
1	269	1789
2	1235	1745
3	3467	1728
4	4839	1622
5	4996	1622

prune106.0ms (1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	70	9	79
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	75	14	89

Error

1.1b

Counts

89 → 14

Alt Table

Status	Error	Program
▶	2.9b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 s (*.f64 x c))))
	26.9b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c c)) (.f64 (.f64 x (pow.f64 s 2)) x))
	3.2b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (pow.f64 (.f64 s (.f64 x c)) 2)) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (.f64 s (.f64 x c)) 2)))
	21.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) s) x)))
	50.6b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 (.f64 s c))))))
	8.6b	(.f64 (sqrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (.f64 s (.f64 x c)) 2))) (sqrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (.f64 s (*.f64 x c)) 2))))
	25.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	3.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (.f64 s (.f64 x c)) 2))) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (.f64 s (.f64 x c)) 2)))) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (.f64 s (*.f64 x c)) 2))))
	19.3b	(/.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))))))
	18.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 x c) (.f64 x c))))
	21.2b	(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (.f64 s (*.f64 x c)) 2)) 3))
	3.4b	(/.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))))))
	3.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 s (.f64 x c)) 2)) (cbrt.f64 (pow.f64 (.f64 s (.f64 x c)) 2))) (cbrt.f64 (pow.f64 (.f64 s (*.f64 x c)) 2))))
	18.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 s x) (*.f64 s x))))

Compiler

Compiled 1594 to 843 computations (47.1% 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))))
1.0b	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))
4.3b	(.f64 s (.f64 x c))
4.3b	(.f64 s (.f64 x c))

rewrite352.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

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:

9.0ms	(/.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)

series178.0ms (1.6%)

Error

1.1b

Counts

4 → 40

Calls

4 calls:

67.0ms	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 s (*.f64 x c))))
49.0ms	(/.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 1851 to 1009 computations (45.5% saved)

simplify246.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

373×	`*-commutative_binary64`
347×	`associate-*l/_binary64`
338×	`associate-/r/_binary64`
282×	`associate-*r/_binary64`
252×	`unswap-sqr_binary64`

Counts

206 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	260	6726
1	569	6364
2	1548	6100
3	3328	5948
4	4862	5948
5	4950	5948

prune170.0ms (1.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	114	7	121
Fresh	6	7	13
Picked	1	0	1
Done	0	0	0
Total	121	14	135

Error

1.1b

Counts

135 → 14

Alt Table

Status	Error	Program
	13.5b	(.f64 (/.f64 1 (fabs.f64 s)) (/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 (.f64 x c) (.f64 x c)) (fabs.f64 s))))
	3.2b	(.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (cbrt.f64 (cos.f64 (.f64 x 2)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (pow.f64 (fabs.f64 (.f64 s (*.f64 x c))) 2)))
	3.2b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (pow.f64 (.f64 s (.f64 x c)) 2)) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (.f64 s (.f64 x c)) 2)))
	21.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) s) x)))
	50.6b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 (.f64 s c))))))
	25.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	3.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (.f64 s (.f64 x c)) 2))) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (.f64 s (.f64 x c)) 2)))) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (.f64 s (*.f64 x c)) 2))))
	15.1b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (fabs.f64 (.f64 x c)))) (fabs.f64 (*.f64 x c)))
▶	2.9b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 3/2)) (sqrt.f64 (fabs.f64 (.f64 s (*.f64 x c)))))
	3.2b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 (.f64 (cbrt.f64 s) (cbrt.f64 s)) (.f64 (*.f64 x c) (cbrt.f64 s)))))
	2.9b	(.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)))
	3.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 s (.f64 x c)) 2)) (cbrt.f64 (pow.f64 (.f64 s (.f64 x c)) 2))) (cbrt.f64 (pow.f64 (.f64 s (*.f64 x c)) 2))))
	3.6b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 (cbrt.f64 (fabs.f64 (.f64 s (.f64 x c)))) (pow.f64 (cbrt.f64 (fabs.f64 (.f64 s (.f64 x c)))) 4))) (cbrt.f64 (fabs.f64 (.f64 s (.f64 x c)))))
	18.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 s x) (*.f64 s x))))

Compiler

Compiled 2908 to 1346 computations (53.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (*.f64 x c))) 3/2))
4.3b	(.f64 s (.f64 x c))
4.3b	(.f64 s (.f64 x c))
14.5b	(sqrt.f64 (fabs.f64 (.f64 s (.f64 x c))))

rewrite232.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

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

Counts

4 → 99

Calls

4 calls:

6.0ms	(/.f64 (cos.f64 (.f64 x 2)) (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 2808 to 1146 computations (59.2% saved)

series179.0ms (1.6%)

Error

1.1b

Counts

4 → 37

Calls

4 calls:

89.0ms	(/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (*.f64 x c))) 3/2))
29.0ms	(.f64 s (.f64 x c))
27.0ms	(.f64 s (.f64 x c))
26.0ms	(sqrt.f64 (fabs.f64 (.f64 s (.f64 x c))))

Compiler

Compiled 1952 to 1147 computations (41.2% saved)

simplify113.0ms (1%)

Algorithm

1×	egg-herbie

Rules

762×	`associate-/r/_binary64`
699×	`associate-l_binary64`
526×	`associate-r_binary64`
425×	`associate-/r*_binary64`
350×	`unswap-sqr_binary64`

Counts

136 → 48

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	2818
1	293	2638
2	813	2594
3	3473	2594
4	5638	2594

prune75.0ms (0.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	13	13
Picked	1	0	1
Done	0	0	0
Total	46	16	62

Error

1.1b

Counts

62 → 16

Alt Table

Status	Error	Program
	13.5b	(.f64 (/.f64 1 (fabs.f64 s)) (/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 (.f64 x c) (.f64 x c)) (fabs.f64 s))))
	11.4b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 3/2)) (sqrt.f64 (fabs.f64 (cbrt.f64 (pow.f64 (.f64 s (*.f64 x c)) 3)))))
	3.2b	(.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (cbrt.f64 (cos.f64 (.f64 x 2)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (pow.f64 (fabs.f64 (.f64 s (*.f64 x c))) 2)))
	3.2b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (pow.f64 (.f64 s (.f64 x c)) 2)) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (.f64 s (.f64 x c)) 2)))
	21.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) s) x)))
	50.6b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 (.f64 s c))))))
	25.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	3.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (.f64 s (.f64 x c)) 2))) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (.f64 s (.f64 x c)) 2)))) (cbrt.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (.f64 s (*.f64 x c)) 2))))
	15.1b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (fabs.f64 (.f64 x c)))) (fabs.f64 (*.f64 x c)))
	3.2b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 (.f64 (cbrt.f64 s) (cbrt.f64 s)) (.f64 (*.f64 x c) (cbrt.f64 s)))))
	2.9b	(.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)))
	3.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 s (.f64 x c)) 2)) (cbrt.f64 (pow.f64 (.f64 s (.f64 x c)) 2))) (cbrt.f64 (pow.f64 (.f64 s (*.f64 x c)) 2))))
	3.6b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 (cbrt.f64 (fabs.f64 (.f64 s (.f64 x c)))) (pow.f64 (cbrt.f64 (fabs.f64 (.f64 s (.f64 x c)))) 4))) (cbrt.f64 (fabs.f64 (.f64 s (.f64 x c)))))
	18.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 s x) (*.f64 s x))))
	19.5b	(/.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 x 2))) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 3/4)) (/.f64 (sqrt.f64 (cos.f64 (.f64 x 2))) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 3/4))) (sqrt.f64 (fabs.f64 (.f64 s (*.f64 x c)))))
	11.6b	(/.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 3/2)))) (sqrt.f64 (fabs.f64 (.f64 s (*.f64 x c)))))

Compiler

Compiled 1120 to 556 computations (50.4% saved)

regimes2.9s (26.5%)

Accuracy

Total 1.4b remaining (56.3%)

Threshold costs 0b (0%)

Compiler

Compiled 53498 to 32787 computations (38.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	30
1	22	30
2	24	30
3	24	30

end7.0ms (0.1%)

Remove: (sort c s)
Compiler: Compiled 66 to 42 computations (36.4% saved)

sample2.1s (19.4%)

Algorithm

1×

intervals

Results

482.0ms	6086×	body	128	valid
303.0ms	940×	body	1024	valid
159.0ms	1915×	body	128	invalid
153.0ms	639×	body	512	valid
74.0ms	233×	body	1024	invalid
66.0ms	249×	body	512	invalid
52.0ms	334×	body	256	valid
27.0ms	173×	body	256	invalid
0.0ms	1×	body	2048	valid

Compiler

Compiled 483 to 302 computations (37.5% saved)

Details

analyze2.4s (21.8%)

sample106.0ms (1%)

simplify236.0ms (2.2%)

prune15.0ms (0.1%)

localize24.0ms (0.2%)

rewrite458.0ms (4.2%)

series315.0ms (2.9%)

simplify140.0ms (1.3%)

prune102.0ms (0.9%)

localize10.0ms (0.1%)

rewrite176.0ms (1.6%)

series152.0ms (1.4%)

simplify110.0ms (1%)

prune106.0ms (1%)

localize10.0ms (0.1%)

rewrite352.0ms (3.2%)

series178.0ms (1.6%)

simplify246.0ms (2.3%)

prune170.0ms (1.6%)

localize15.0ms (0.1%)

rewrite232.0ms (2.1%)

series179.0ms (1.6%)

simplify113.0ms (1%)

prune75.0ms (0.7%)

regimes2.9s (26.5%)

simplify3.0ms (0%)

end7.0ms (0.1%)

sample2.1s (19.4%)

Profiling