Details

analyze1.3s (12.7%)

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)

sample3.9s (36.8%)

Symmetry

(sort c s)

Results

1.8s	6297×	body	128	valid
753.0ms	975×	body	1024	valid
376.0ms	1978×	body	128	invalid
312.0ms	652×	body	512	valid
170.0ms	230×	body	1024	invalid
128.0ms	258×	body	512	invalid
112.0ms	328×	body	256	valid
52.0ms	150×	body	256	invalid
4.0ms	4×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 59 to 44 computations (25.4% saved)

simplify108.0ms (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

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

27.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	27.0b	(/.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
✓	0.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
✓	2.8b	(.f64 (.f64 x (pow.f64 s 2)) x)
✓	8.5b	(*.f64 x (pow.f64 s 2))
✓	18.6b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

series235.0ms (2.2%)

Counts

4 → 120

Calls

4 calls:

173.0ms	(/.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))
11.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
10.0ms	(*.f64 x (pow.f64 s 2))

rewrite38.0ms (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)))
9.0ms	(.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))

simplify202.0ms (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

prune306.0ms (2.9%)

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

11.5b

Counts

188 → 15

Alt Table

Status	Error	Program
	25.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	39.1b	(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 2 x))) (pow.f64 c 2)) (/.f64 (sqrt.f64 (cos.f64 (.f64 2 x))) (.f64 (*.f64 x (pow.f64 s 2)) x)))
	45.1b	(/.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)))))
	31.1b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (.f64 (.f64 s s) (.f64 (.f64 c c) (*.f64 x x)))))
	27.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	47.2b	(/.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)))))
	20.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x s) s) x)))
▶	19.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
	31.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) (pow.f64 (sqrt.f64 s) 2)) x)))
	27.1b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (*.f64 x (pow.f64 s 2)) x))
	31.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x (pow.f64 (sqrt.f64 s) 2)) (pow.f64 (sqrt.f64 s) 2)) x)))
	22.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	57.0b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (fma.f64 2 (+.f64 (log.f64 c) (log.f64 s)) (.f64 2 (log.f64 x)))))
	31.4b	(/.f64 (cos.f64 (.f64 2 x)) (expm1.f64 (log1p.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))))
	27.3b	(.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (pow.f64 s 2)) x)))

Compiler

Compiled 4964 to 3020 computations (39.2% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))
✓	0.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
✓	18.6b	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))

series222.0ms (2.1%)

Counts

3 → 96

Calls

3 calls:

181.0ms

(/.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)))

rewrite25.0ms (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:

9.0ms

(/.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)))

simplify200.0ms (1.9%)

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

prune215.0ms (2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	138	8	146
Fresh	8	6	14
Picked	1	0	1
Done	0	0	0
Total	147	14	161

Error

2.9b

Counts

161 → 14

Alt Table

Status	Error	Program
	25.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	49.1b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (.f64 2 (log.f64 (.f64 c (fabs.f64 (.f64 s x)))))))
	31.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x (pow.f64 (sqrt.f64 s) 2)) (pow.f64 (sqrt.f64 s) 2)) x)))
	6.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	15.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
▶	3.2b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	45.1b	(/.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)))))
	31.1b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (.f64 (.f64 s s) (.f64 (.f64 c c) (*.f64 x x)))))
	22.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 s) (.f64 (fabs.f64 x) (fabs.f64 (*.f64 s x))))))
	13.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	27.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	14.7b	(/.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))))
	20.0b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))
	27.1b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (*.f64 x (pow.f64 s 2)) x))

Compiler

Compiled 4199 to 2082 computations (50.4% saved)

localize10.0ms (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)
✓	0.3b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
✓	5.7b	(.f64 c (fabs.f64 (.f64 s x)))

series226.0ms (2.1%)

Counts

3 → 72

Calls

3 calls:

195.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
20.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
10.0ms	(.f64 c (fabs.f64 (.f64 s x)))

rewrite16.0ms (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))
4.0ms	(.f64 c (fabs.f64 (.f64 s x)))
3.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)

simplify101.0ms (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

prune169.0ms (1.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	98	9	107
Fresh	7	6	13
Picked	1	0	1
Done	0	0	0
Total	106	15	121

Error

0.1b

Counts

121 → 15

Alt Table

Status	Error	Program
	3.6b	(/.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)))
	3.4b	(.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)))))
	6.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	3.5b	(/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (/.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2) (cbrt.f64 (cos.f64 (.f64 2 x)))))
	3.4b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (.f64 c (sqrt.f64 (fabs.f64 (.f64 s x)))) (sqrt.f64 (fabs.f64 (*.f64 s x)))) 2))
	13.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	15.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
▶	2.9b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	27.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	22.2b	(/.f64 (sqrt.f64 (cos.f64 (.f64 2 x))) (/.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2) (sqrt.f64 (cos.f64 (.f64 2 x)))))
	22.0b	(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))))
	14.7b	(/.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))))
	3.6b	(.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))))
	3.4b	(-.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)))
	20.0b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))

Compiler

Compiled 3217 to 1773 computations (44.9% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)
✓	0.3b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
✓	4.4b	(.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))

series333.0ms (3.1%)

Counts

3 → 108

Calls

3 calls:

268.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
52.0ms	(pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)
14.0ms	(.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))

rewrite21.0ms (0.2%)

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:

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

simplify121.0ms (1.1%)

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

prune292.0ms (2.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	149	8	157
Fresh	7	7	14
Picked	1	0	1
Done	0	0	0
Total	157	15	172

Error

0.0b

Counts

172 → 15

Alt Table

Status	Error	Program
	3.6b	(/.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)))
	3.4b	(.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))))
	6.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	2.8b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))) (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)))
	15.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
	3.5b	(/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (/.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2) (cbrt.f64 (cos.f64 (.f64 2 x)))))
	13.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	3.0b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)))
	3.2b	(.f64 (/.f64 1 (.f64 c (.f64 (fabs.f64 s) x))) (/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (fabs.f64 s) x))))
	27.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	18.3b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 s)) 2)) (pow.f64 (fabs.f64 x) 2))
	3.3b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (pow.f64 (.f64 c (.f64 (fabs.f64 s) x)) 2)))
	3.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))))
	3.0b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)))
	20.0b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))

Compiler

Compiled 3965 to 2033 computations (48.7% saved)

regimes2.2s (20.9%)

Accuracy

Total 0.8b remaining (90.9%)

Threshold costs 0.8b (90.9%)

Counts

213 → 2

Compiler

Compiled 34224 to 23634 computations (30.9% saved)

bsearch11.0ms (0.1%)

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

simplify4.0ms (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

end248.0ms (2.3%)

Remove: (sort c s)
Compiler: Compiled 633 to 386 computations (39% saved)

Details

analyze1.3s (12.7%)

sample3.9s (36.8%)

simplify108.0ms (1%)

prune3.0ms (0%)

localize11.0ms (0.1%)

series235.0ms (2.2%)

rewrite38.0ms (0.4%)

simplify202.0ms (1.9%)

prune306.0ms (2.9%)

localize11.0ms (0.1%)

series222.0ms (2.1%)

rewrite25.0ms (0.2%)

simplify200.0ms (1.9%)

prune215.0ms (2%)

localize10.0ms (0.1%)

series226.0ms (2.1%)

rewrite16.0ms (0.2%)

simplify101.0ms (1%)

prune169.0ms (1.6%)

localize11.0ms (0.1%)

series333.0ms (3.1%)

rewrite21.0ms (0.2%)

simplify121.0ms (1.1%)

prune292.0ms (2.8%)

regimes2.2s (20.9%)

bsearch11.0ms (0.1%)

simplify4.0ms (0%)

end248.0ms (2.3%)

Profiling