Details

analyze1.2s (12.5%)

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)

sample3.6s (36.3%)

Symmetry

(sort c s)

Results

1.1s	6321×	body	128	valid
954.0ms	629×	body	512	valid
650.0ms	976×	body	1024	valid
340.0ms	1907×	body	128	invalid
149.0ms	222×	body	1024	invalid
101.0ms	327×	body	256	valid
94.0ms	210×	body	512	invalid
50.0ms	158×	body	256	invalid
4.0ms	3×	body	2048	valid

Compiler

Compiled 59 to 44 computations (25.4% saved)

simplify106.0ms (1.1%)

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

prune2.0ms (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

28.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	28.1b	(/.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
✓	0.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
✓	5.8b	(*.f64 x (pow.f64 s 2))
✓	5.9b	(.f64 (.f64 x (pow.f64 s 2)) x)
✓	20.1b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

series262.0ms (2.6%)

Counts

4 → 120

Calls

4 calls:

202.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
40.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
12.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
8.0ms	(*.f64 x (pow.f64 s 2))

rewrite36.0ms (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:

9.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
7.0ms	(.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))

simplify154.0ms (1.5%)

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

prune319.0ms (3.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	172	15	187
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	15	188

Error

11.8b

Counts

188 → 15

Alt Table

Status	Error	Program
	22.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	47.3b	(/.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)))))
	49.3b	(/.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)))))
	31.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 s s) x) 3)) x)))
	27.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	58.6b	(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)))))
	27.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	28.1b	(/.f64 1 (/.f64 (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)) (cos.f64 (.f64 2 x))))
	32.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (sqrt.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))) (sqrt.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))))
	46.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (.f64 s (sqrt.f64 x)) (.f64 s (sqrt.f64 x))) x)))
	56.2b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (+.f64 (.f64 (log.f64 c) 2) (+.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 s) 2)) (log.f64 x)))))
▶	21.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
	28.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 c 2)) (cbrt.f64 (pow.f64 c 2))) (.f64 (cbrt.f64 (pow.f64 c 2)) (.f64 (.f64 x (pow.f64 s 2)) x))))
	56.2b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (fma.f64 2 (+.f64 (log.f64 c) (log.f64 s)) (.f64 2 (log.f64 x)))))
	28.1b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x))) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x))))

Compiler

Compiled 5048 to 3058 computations (39.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
✓	0.2b	(.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))
✓	20.1b	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))

series231.0ms (2.3%)

Counts

3 → 96

Calls

3 calls:

191.0ms

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

32.0ms

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

8.0ms

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

rewrite23.0ms (0.2%)

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:

8.0ms

(/.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)))

simplify132.0ms (1.3%)

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

prune216.0ms (2.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	139	7	146
Fresh	7	7	14
Picked	1	0	1
Done	0	0	0
Total	147	14	161

Error

1.6b

Counts

161 → 14

Alt Table

Status	Error	Program
	22.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	47.3b	(/.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)))))
▶	1.9b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	49.3b	(/.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)))))
	31.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 s s) x) 3)) x)))
	21.7b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))
	13.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	27.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	21.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 c 2)) (cbrt.f64 (pow.f64 c 2))) (.f64 (pow.f64 (fabs.f64 (.f64 s x)) 2) (cbrt.f64 (.f64 c c)))))
	27.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	5.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	28.1b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x))) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x))))
	21.4b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2))) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	21.4b	(/.f64 1 (/.f64 (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x)))) (cos.f64 (*.f64 2 x))))

Compiler

Compiled 4277 to 2116 computations (50.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
✓	0.3b	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
✓	5.4b	(.f64 c (fabs.f64 (.f64 s x)))

series239.0ms (2.4%)

Counts

3 → 72

Calls

3 calls:

212.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
19.0ms	(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)

simplify99.0ms (1%)

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

prune187.0ms (1.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	97	10	107
Fresh	6	7	13
Picked	1	0	1
Done	0	0	0
Total	104	17	121

Error

0.1b

Counts

121 → 17

Alt Table

Status	Error	Program
	13.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	2.1b	(.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)))))
	27.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	10.8b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 c (fabs.f64 (.f64 s x))) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))) 2))
	2.2b	(.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))))
	27.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	5.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
▶	1.9b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))
	28.1b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x))) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x))))
	21.4b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2))) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	2.0b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))
	2.0b	(.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2)))
	2.4b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (.f64 (cbrt.f64 (.f64 c (fabs.f64 (.f64 s x)))) (cbrt.f64 (.f64 c (fabs.f64 (.f64 s x))))) (cbrt.f64 (.f64 c (fabs.f64 (*.f64 s x))))) 2))
	22.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	1.9b	(.f64 (/.f64 1 (.f64 c (fabs.f64 (.f64 s x)))) (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))))
	3.5b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	1.9b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))

Compiler

Compiled 3301 to 1795 computations (45.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))
✓	0.2b	(/.f64 1 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2))
	0.3b	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
	5.4b	(.f64 c (fabs.f64 (.f64 s x)))

series363.0ms (3.7%)

Counts

2 → 72

Calls

2 calls:

186.0ms	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))
176.0ms	(/.f64 1 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-exp-log_binary64`
42×	`times-frac_binary64`
37×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`

Counts

2 → 114

Calls

2 calls:

12.0ms	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))
4.0ms	(/.f64 1 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2))

simplify120.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

626×	`associate-/r*_binary64`
396×	`fma-def_binary64`
379×	`associate-l_binary64`
333×	`associate-/l*_binary64`
327×	`associate-r_binary64`

Counts

186 → 154

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	4167
1	245	3684
2	725	3680
3	3989	3678
4	5097	3678

prune389.0ms (3.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	193	6	199
Fresh	5	11	16
Picked	1	0	1
Done	0	0	0
Total	199	17	216

Error

0.0b

Counts

216 → 17

Alt Table

Status	Error	Program
	1.9b	(.f64 (.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (.f64 c (fabs.f64 (.f64 s x))))) (/.f64 1 (.f64 c (fabs.f64 (*.f64 s x)))))
	2.4b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (.f64 (cbrt.f64 (.f64 c (fabs.f64 (.f64 s x)))) (cbrt.f64 (.f64 c (fabs.f64 (.f64 s x))))) (cbrt.f64 (.f64 c (fabs.f64 (*.f64 s x))))) 2))
	13.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	2.1b	(.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)))))
	27.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	2.2b	(.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))))
	27.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	3.1b	(.f64 (cos.f64 (.f64 2 x)) (expm1.f64 (log1p.f64 (/.f64 1 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))))
	2.0b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))
	2.0b	(.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2)))
	1.8b	(.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) -2))
	2.0b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (pow.f64 (.f64 (.f64 c (sqrt.f64 (fabs.f64 (.f64 s x)))) (sqrt.f64 (fabs.f64 (.f64 s x)))) 2)))
	3.5b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)))
	1.9b	(.f64 (/.f64 1 (.f64 c (fabs.f64 (.f64 s x)))) (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))))
	1.9b	(.f64 (cos.f64 (.f64 2 x)) (.f64 (/.f64 1 (.f64 c (fabs.f64 (.f64 s x)))) (/.f64 1 (.f64 c (fabs.f64 (*.f64 s x))))))
	3.5b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	5.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))

Compiler

Compiled 5141 to 2869 computations (44.2% saved)

regimes1.7s (17.2%)

Accuracy

Total 0.8b remaining (84.7%)

Threshold costs 0.8b (84.7%)

Counts

207 → 2

Compiler

Compiled 33636 to 23345 computations (30.6% saved)

bsearch8.0ms (0.1%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	71
1	40	71
2	41	71
3	40	71

end399.0ms (4%)

Compiler: Compiled 618 to 416 computations (32.7% saved)

Details

analyze1.2s (12.5%)

sample3.6s (36.3%)

simplify106.0ms (1.1%)

prune2.0ms (0%)

localize10.0ms (0.1%)

series262.0ms (2.6%)

rewrite36.0ms (0.4%)

simplify154.0ms (1.5%)

prune319.0ms (3.2%)

localize10.0ms (0.1%)

series231.0ms (2.3%)

rewrite23.0ms (0.2%)

simplify132.0ms (1.3%)

prune216.0ms (2.2%)

localize9.0ms (0.1%)

series239.0ms (2.4%)

rewrite15.0ms (0.2%)

simplify99.0ms (1%)

prune187.0ms (1.9%)

localize11.0ms (0.1%)

series363.0ms (3.7%)

rewrite25.0ms (0.3%)

simplify120.0ms (1.2%)

prune389.0ms (3.9%)

regimes1.7s (17.2%)

bsearch8.0ms (0.1%)

simplify3.0ms (0%)

end399.0ms (4%)

Profiling