Details

analyze1.2s (13.5%)

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)

sample3.4s (36.8%)

Symmetry

(sort c s)

Results

1.1s	6274×	body	128	valid
1.1s	988×	body	1024	valid
349.0ms	1933×	body	128	invalid
290.0ms	643×	body	512	valid
131.0ms	201×	body	1024	invalid
107.0ms	348×	body	256	valid
103.0ms	231×	body	512	invalid
51.0ms	163×	body	256	invalid
3.0ms	3×	body	2048	valid

Compiler

Compiled 59 to 44 computations (25.4% saved)

simplify110.0ms (1.2%)

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 → 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

28.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	28.3b	(/.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)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
✓	3.4b	(.f64 (.f64 x (pow.f64 s 2)) x)
✓	8.6b	(*.f64 x (pow.f64 s 2))
✓	19.1b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

series223.0ms (2.4%)

Counts

4 → 120

Calls

4 calls:

162.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
39.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
12.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
9.0ms	(*.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:

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 x (pow.f64 s 2))
5.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)

simplify142.0ms (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

prune335.0ms (3.6%)

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

11.9b

Counts

188 → 15

Alt Table

Status	Error	Program
	27.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	28.0b	(.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (pow.f64 c 2)) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (.f64 (*.f64 x (pow.f64 s 2)) x)))
	43.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (.f64 s (sqrt.f64 x)) (.f64 s (sqrt.f64 x))) x)))
	28.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	59.4b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (+.f64 (.f64 (log.f64 c) 2) (+.f64 (log.f64 (*.f64 x (pow.f64 s 2))) (log.f64 x)))))
	22.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	58.7b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (fma.f64 2 (+.f64 (log.f64 c) (log.f64 s)) (.f64 2 (log.f64 x)))))
	34.1b	(expm1.f64 (log1p.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))))
	33.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
	27.9b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (*.f64 x (pow.f64 s 2)) x))
▶	20.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
	32.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) (pow.f64 (sqrt.f64 s) 2)) x)))
	45.8b	(/.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)))))
	45.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (sqrt.f64 x) (.f64 s (.f64 s (sqrt.f64 x)))) x)))
	55.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 (sqrt.f64 c) 2) (.f64 c (.f64 (.f64 s s) (.f64 x x)))))

Compiler

Compiled 4976 to 3026 computations (39.2% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))
✓	0.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
✓	19.1b	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))

series238.0ms (2.6%)

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)))))

36.0ms

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

10.0ms

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

rewrite26.0ms (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))))

6.0ms

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

simplify140.0ms (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

prune207.0ms (2.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	137	9	146
Fresh	11	3	14
Picked	1	0	1
Done	0	0	0
Total	149	12	161

Error

1.6b

Counts

161 → 12

Alt Table

Status	Error	Program
	22.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	20.4b	(-.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))))
▶	2.2b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	34.1b	(expm1.f64 (log1p.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))))
	20.0b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))
	20.1b	(.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)))
	14.6b	(/.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))))
	23.4b	(.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)))))
	28.0b	(.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (pow.f64 c 2)) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (.f64 (*.f64 x (pow.f64 s 2)) x)))
	7.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	16.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
	12.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))

Compiler

Compiled 4217 to 2074 computations (50.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
✓	0.6b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
✓	2.8b	(.f64 c (fabs.f64 (.f64 s x)))

series207.0ms (2.2%)

Counts

3 → 72

Calls

3 calls:

178.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
18.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
10.0ms	(.f64 c (fabs.f64 (.f64 s x)))

rewrite18.0ms (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:

5.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
3.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
3.0ms	(.f64 c (fabs.f64 (.f64 s x)))

simplify94.0ms (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

prune192.0ms (2.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	94	13	107
Fresh	8	3	11
Picked	1	0	1
Done	0	0	0
Total	103	16	119

Error

0.0b

Counts

119 → 16

Alt Table

Status	Error	Program
	2.5b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))
	2.2b	(-.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)))
	12.3b	(/.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))
	2.6b	(.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (.f64 (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2))))
▶	1.8b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
	2.0b	(.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)))))
	2.2b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))
	2.4b	(.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)))
	12.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	10.4b	(.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))))
	20.5b	(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 2 x))) (.f64 (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))) (/.f64 (sqrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2))))
	20.1b	(.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (*.f64 s x)) 2)))
	22.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	7.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	2.5b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	2.5b	(.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))))

Compiler

Compiled 3331 to 1835 computations (44.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
✓	0.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (*.f64 s x))))
	2.8b	(.f64 c (fabs.f64 (.f64 s x)))

series227.0ms (2.5%)

Counts

2 → 40

Calls

2 calls:

180.0ms	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
46.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (*.f64 s x))))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-cbrt-cube_binary64`
28×	`add-exp-log_binary64`
16×	`times-frac_binary64`
12×	`cbrt-undiv_binary64`
12×	`div-exp_binary64`

Counts

2 → 65

Calls

2 calls:

7.0ms	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
4.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (*.f64 s x))))

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

759×	`associate-l_binary64`
681×	`associate-*l/_binary64`
579×	`associate-*r/_binary64`
483×	`associate-/r/_binary64`
215×	`associate-/r*_binary64`

Counts

105 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	3223
1	369	2754
2	1492	2725
3	5131	2725

prune293.0ms (3.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	157	8	165
Fresh	9	6	15
Picked	1	0	1
Done	0	0	0
Total	167	14	181

Error

0.0b

Counts

181 → 14

Alt Table

Status	Error	Program
	1.8b	(-.f64 (/.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (.f64 s x)))) (/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (.f64 s x)))))
	2.5b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))
	12.4b	(/.f64 (/.f64 1 c) (/.f64 c (/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	2.5b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	12.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	2.2b	(/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x))))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))))) (.f64 c (fabs.f64 (*.f64 s x))))
	3.5b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)))
	5.6b	(/.f64 (/.f64 1 c) (/.f64 (.f64 c (fabs.f64 (.f64 s x))) (/.f64 (cos.f64 (.f64 2 x)) (fabs.f64 (.f64 s x)))))
	1.8b	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 2 x)) c) (fabs.f64 (.f64 s x))) (.f64 c (fabs.f64 (.f64 s x))))
	2.6b	(.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (.f64 (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2))))
	2.1b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.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))))) (.f64 c (fabs.f64 (*.f64 s x))))
	7.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	2.4b	(.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)))
	12.6b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c (fabs.f64 (.f64 s x)))) 3)) (.f64 c (fabs.f64 (*.f64 s x))))

Compiler

Compiled 4901 to 1890 computations (61.4% saved)

regimes1.6s (17.5%)

Accuracy

Total 2.4b remaining (96.4%)

Threshold costs 0b (0%)

Counts

227 → 1

Compiler

Compiled 37517 to 24987 computations (33.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	19	28
2	20	28
3	20	28

end350.0ms (3.8%)

Compiler: Compiled 490 to 286 computations (41.6% saved)

Details

analyze1.2s (13.5%)

sample3.4s (36.8%)

simplify110.0ms (1.2%)

prune3.0ms (0%)

localize13.0ms (0.1%)

series223.0ms (2.4%)

rewrite37.0ms (0.4%)

simplify142.0ms (1.5%)

prune335.0ms (3.6%)

localize11.0ms (0.1%)

series238.0ms (2.6%)

rewrite26.0ms (0.3%)

simplify140.0ms (1.5%)

prune207.0ms (2.3%)

localize9.0ms (0.1%)

series207.0ms (2.2%)

rewrite18.0ms (0.2%)

simplify94.0ms (1%)

prune192.0ms (2.1%)

localize9.0ms (0.1%)

series227.0ms (2.5%)

rewrite18.0ms (0.2%)

simplify72.0ms (0.8%)

prune293.0ms (3.2%)

regimes1.6s (17.5%)

simplify2.0ms (0%)

end350.0ms (3.8%)

Profiling