Details

analyze1.3s (14.4%)

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)

sample3.0s (33.3%)

Symmetry

(sort c s)

Results

1.1s	6324×	body	128	valid
656.0ms	931×	body	1024	valid
348.0ms	1903×	body	128	invalid
308.0ms	658×	body	512	valid
172.0ms	217×	body	1024	invalid
111.0ms	339×	body	256	valid
106.0ms	237×	body	512	invalid
51.0ms	158×	body	256	invalid
4.0ms	4×	body	2048	valid

Compiler

Compiled 59 to 44 computations (25.4% saved)

simplify111.0ms (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

29.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	29.1b	(/.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)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
✓	4.6b	(.f64 (.f64 x (pow.f64 s 2)) x)
✓	9.0b	(*.f64 x (pow.f64 s 2))
✓	19.4b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

series249.0ms (2.7%)

Counts

4 → 120

Calls

4 calls:

179.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
48.0ms	(.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))

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:

10.0ms	(/.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))

simplify175.0ms (1.9%)

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

prune301.0ms (3.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	170	17	187
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	171	17	188

Error

12.4b

Counts

188 → 17

Alt Table

Status	Error	Program
	24.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	52.5b	(exp.f64 (-.f64 (log.f64 (cos.f64 (.f64 2 x))) (+.f64 (log.f64 (pow.f64 c 2)) (+.f64 (+.f64 (log.f64 x) (.f64 (log.f64 s) 2)) (log.f64 x)))))
	24.2b	(/.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)))
	45.7b	(/.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)))))
	57.7b	(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)))))
	44.6b	(/.f64 (sqrt.f64 (cos.f64 (.f64 2 x))) (/.f64 (.f64 c c) (/.f64 (sqrt.f64 (cos.f64 (.f64 2 x))) (.f64 (.f64 s s) (.f64 x x)))))
	31.6b	(.f64 (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))) (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x)))))
	55.8b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (fma.f64 2 (+.f64 (log.f64 c) (log.f64 s)) (.f64 2 (log.f64 x)))))
▶	20.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
	31.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
	29.4b	(.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (pow.f64 s 2)) x)))
	27.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	46.5b	(/.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)))))
	33.5b	(cbrt.f64 (/.f64 (.f64 (.f64 (cos.f64 (.f64 2 x)) (cos.f64 (.f64 2 x))) (cos.f64 (.f64 2 x))) (.f64 (.f64 (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x))) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))))
	31.7b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))))
	22.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x s) s) x)))
	31.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) (pow.f64 (sqrt.f64 s) 2)) x)))

Compiler

Compiled 5238 to 3196 computations (39% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 (*.f64 2 x))
✓	0.2b	(.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))
✓	0.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
✓	19.4b	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))

series230.0ms (2.5%)

Counts

4 → 100

Calls

4 calls:

187.0ms	(/.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))))
9.0ms	(.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))
2.0ms	(cos.f64 (*.f64 2 x))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
19×	`prod-exp_binary64`
16×	`add-sqr-sqrt_binary64`
12×	`associate-l_binary64`

Counts

4 → 104

Calls

4 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)))
1.0ms	(cos.f64 (*.f64 2 x))

simplify116.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

444×	`unswap-sqr_binary64`
365×	`associate-/l/_binary64`
256×	`associate-*r/_binary64`
250×	`associate-*l/_binary64`
239×	`fma-def_binary64`

Counts

204 → 164

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	3918
1	356	3501
2	1704	3443
3	4496	3389
4	5074	3389

prune317.0ms (3.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	155	9	164
Fresh	13	3	16
Picked	1	0	1
Done	0	0	0
Total	169	12	181

Error

1.9b

Counts

181 → 12

Alt Table

Status	Error	Program
	15.5b	(/.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))))
	31.7b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))))
▶	2.2b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	35.8b	(/.f64 (sqrt.f64 (cos.f64 (.f64 2 x))) (/.f64 (.f64 c c) (/.f64 (sqrt.f64 (cos.f64 (.f64 2 x))) (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	20.6b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (.f64 (.f64 c c) (pow.f64 (fabs.f64 (*.f64 s x)) 2))))
	6.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	20.9b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))
	13.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	33.5b	(cbrt.f64 (/.f64 (.f64 (.f64 (cos.f64 (.f64 2 x)) (cos.f64 (.f64 2 x))) (cos.f64 (.f64 2 x))) (.f64 (.f64 (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x))) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))))
	49.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 (sqrt.f64 c) 2) (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	31.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
	24.7b	(.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 4708 to 2322 computations (50.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 (*.f64 2 x))
✓	0.3b	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
✓	0.4b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
✓	4.3b	(.f64 c (fabs.f64 (.f64 s x)))

series224.0ms (2.4%)

Counts

3 → 72

Calls

3 calls:

191.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
21.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
11.0ms	(.f64 c (fabs.f64 (.f64 s x)))

rewrite17.0ms (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	(.f64 c (fabs.f64 (.f64 s x)))
3.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)

simplify107.0ms (1.2%)

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

prune244.0ms (2.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	111	14	125
Fresh	9	2	11
Picked	1	0	1
Done	0	0	0
Total	121	16	137

Error

0.3b

Counts

137 → 16

Alt Table

Status	Error	Program
	2.1b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (pow.f64 (.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))))
	2.9b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (cbrt.f64 c) (fabs.f64 (*.f64 s x)))) 2))
	2.2b	(/.f64 (log1p.f64 (expm1.f64 (cos.f64 (.f64 2 x)))) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	11.6b	(.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))))
	6.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	2.5b	(.f64 (/.f64 1 (.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 (cos.f64 (.f64 2 x)) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))))
	2.6b	(.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))))
	2.3b	(-.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)))
	21.6b	(cbrt.f64 (/.f64 (.f64 (.f64 (cos.f64 (.f64 2 x)) (cos.f64 (.f64 2 x))) (cos.f64 (.f64 2 x))) (.f64 (.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))))
	2.1b	(.f64 (/.f64 1 (.f64 c (fabs.f64 (.f64 s x)))) (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))))
	13.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	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)))
	2.1b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
▶	2.0b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 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)))

Compiler

Compiled 3664 to 2015 computations (45% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 (*.f64 2 x))
✓	0.3b	(pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)
✓	0.4b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
✓	4.0b	(.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))

series336.0ms (3.7%)

Counts

3 → 108

Calls

3 calls:

291.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
29.0ms	(pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)
15.0ms	(.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
18×	`times-frac_binary64`
18×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`

Counts

3 → 92

Calls

3 calls:

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

simplify119.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

480×	`associate-/l/_binary64`
283×	`associate-*l/_binary64`
273×	`fma-def_binary64`
266×	`unswap-sqr_binary64`
245×	`log-prod_binary64`

Counts

200 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	4049
1	361	3907
2	1756	3439
3	4338	3439
4	4950	3439

prune392.0ms (4.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	168	7	175
Fresh	6	9	15
Picked	1	0	1
Done	0	0	0
Total	175	16	191

Error

0.0b

Counts

191 → 16

Alt Table

Status	Error	Program
	1.7b	(.f64 (/.f64 1 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))))
	21.6b	(cbrt.f64 (/.f64 (.f64 (.f64 (cos.f64 (.f64 2 x)) (cos.f64 (.f64 2 x))) (cos.f64 (.f64 2 x))) (.f64 (.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))))
	17.8b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (fabs.f64 s) x))) (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)))
	6.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	2.6b	(.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))))
	19.3b	(.f64 (/.f64 1 (pow.f64 (.f64 c (fabs.f64 s)) 2)) (/.f64 (cos.f64 (.f64 x 2)) (.f64 x x)))
	2.0b	(/.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	2.3b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)) (cbrt.f64 (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)))) (/.f64 (cos.f64 (.f64 2 x)) (cbrt.f64 (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))))
	2.1b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
	2.9b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (cbrt.f64 c) (fabs.f64 (*.f64 s x)))) 2))
	11.6b	(.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))))
	13.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	19.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 (.f64 c (fabs.f64 s)) 2) (.f64 x x)))
	2.0b	(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 2 x)) 3)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	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)))
	2.4b	(.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)))

Compiler

Compiled 4367 to 2248 computations (48.5% saved)

regimes1.4s (15.5%)

Accuracy

Total 0.8b remaining (93.6%)

Threshold costs 0.8b (93.6%)

Counts

197 → 2

Compiler

Compiled 32698 to 22475 computations (31.3% saved)

bsearch10.0ms (0.1%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	89
1	37	89
2	38	89
3	38	89

end277.0ms (3%)

Remove: (sort c s)
Compiler: Compiled 684 to 419 computations (38.7% saved)

Details

analyze1.3s (14.4%)

sample3.0s (33.3%)

simplify111.0ms (1.2%)

prune3.0ms (0%)

localize11.0ms (0.1%)

series249.0ms (2.7%)

rewrite36.0ms (0.4%)

simplify175.0ms (1.9%)

prune301.0ms (3.3%)

localize10.0ms (0.1%)

series230.0ms (2.5%)

rewrite26.0ms (0.3%)

simplify116.0ms (1.3%)

prune317.0ms (3.5%)

localize12.0ms (0.1%)

series224.0ms (2.4%)

rewrite17.0ms (0.2%)

simplify107.0ms (1.2%)

prune244.0ms (2.7%)

localize11.0ms (0.1%)

series336.0ms (3.7%)

rewrite28.0ms (0.3%)

simplify119.0ms (1.3%)

prune392.0ms (4.3%)

regimes1.4s (15.5%)

bsearch10.0ms (0.1%)

simplify3.0ms (0%)

end277.0ms (3%)

Profiling