Details

analyze1.3s (16.9%)

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)

sample249.0ms (3.2%)

Algorithm

1×

intervals

Symmetry

(sort c s)

Results

23.0ms	194×	body	128	valid
13.0ms	28×	body	1024	valid
7.0ms	67×	body	128	invalid
6.0ms	17×	body	512	valid
4.0ms	10×	body	512	invalid
4.0ms	17×	body	256	valid
3.0ms	7×	body	1024	invalid
1.0ms	3×	body	256	invalid

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify109.0ms (1.4%)

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

28.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	28.6b	(/.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)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
✓	4.0b	(.f64 (.f64 x (pow.f64 s 2)) x)
✓	9.1b	(*.f64 x (pow.f64 s 2))
✓	19.0b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

series224.0ms (2.8%)

Counts

4 → 120

Calls

4 calls:

164.0ms	(/.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)
8.0ms	(*.f64 x (pow.f64 s 2))

rewrite36.0ms (0.5%)

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))
6.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
4.0ms	(*.f64 x (pow.f64 s 2))

simplify151.0ms (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

prune253.0ms (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

12.6b

Counts

188 → 15

Alt Table

Status	Error	Program
	43.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (.f64 s (sqrt.f64 x)) (.f64 s (sqrt.f64 x))) x)))
	47.0b	(/.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)))))
	27.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	58.1b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (fma.f64 2 (+.f64 (log.f64 c) (log.f64 s)) (.f64 2 (log.f64 x)))))
	28.5b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (*.f64 x (pow.f64 s 2)) x))
	21.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x s) s) x)))
	24.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	34.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) (pow.f64 (sqrt.f64 s) 2)) x)))
	23.6b	(/.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)))
	35.5b	(.f64 (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))) (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (*.f64 x x))))))
	33.8b	(cbrt.f64 (.f64 (.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x))) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))))
	54.4b	(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)))))
	59.9b	(exp.f64 (-.f64 (log.f64 (cos.f64 (.f64 2 x))) (+.f64 (.f64 (log.f64 c) 2) (+.f64 (log.f64 (*.f64 x (pow.f64 s 2))) (log.f64 x)))))
▶	20.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
	29.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))

Compiler

Compiled 5066 to 3074 computations (39.3% saved)

localize10.0ms (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)))
✓	0.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
✓	19.0b	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))

series227.0ms (2.9%)

Counts

3 → 96

Calls

3 calls:

186.0ms

(/.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 (0.3%)

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))))

5.0ms

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

simplify134.0ms (1.7%)

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 (2.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	136	10	146
Fresh	9	5	14
Picked	1	0	1
Done	0	0	0
Total	146	15	161

Error

2.0b

Counts

161 → 15

Alt Table

Status	Error	Program
	6.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	47.0b	(/.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)))))
	20.6b	(/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (/.f64 (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x)))) (cbrt.f64 (cos.f64 (.f64 2 x)))))
	17.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
	20.8b	(/.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)))))
	54.4b	(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)))))
	20.5b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (.f64 (.f64 c c) (pow.f64 (fabs.f64 (*.f64 s x)) 2))))
	14.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	27.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	58.1b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (fma.f64 2 (+.f64 (log.f64 c) (log.f64 s)) (.f64 2 (log.f64 x)))))
	20.9b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))
	24.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
▶	2.9b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	24.3b	(.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)))))
	20.6b	(-.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))))

Compiler

Compiled 4335 to 2170 computations (49.9% 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)
✓	0.5b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
✓	4.2b	(.f64 c (fabs.f64 (.f64 s x)))

series207.0ms (2.6%)

Counts

3 → 72

Calls

3 calls:

177.0ms	(/.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)
9.0ms	(.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)

simplify100.0ms (1.3%)

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

prune166.0ms (2.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	100	7	107
Fresh	8	6	14
Picked	1	0	1
Done	0	0	0
Total	109	13	122

Error

0.1b

Counts

122 → 13

Alt Table

Status	Error	Program
	6.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	3.0b	(-.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)))
	3.1b	(.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)))
	24.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	20.9b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))
	2.9b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) 1) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	2.5b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
▶	2.2b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	3.1b	(/.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))
	17.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
	20.8b	(/.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)))))
	27.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	22.9b	(.f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 2 x))) (.f64 c (fabs.f64 (.f64 s x)))) (/.f64 (sqrt.f64 (cos.f64 (.f64 2 x))) (.f64 c (fabs.f64 (*.f64 s x)))))

Compiler

Compiled 2985 to 1633 computations (45.3% saved)

localize10.0ms (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)
✓	0.5b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
✓	4.2b	(.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))

series310.0ms (3.9%)

Counts

3 → 108

Calls

3 calls:

267.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
28.0ms	(pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)
14.0ms	(.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))

rewrite20.0ms (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:

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

simplify120.0ms (1.5%)

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

prune245.0ms (3.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	152	5	157
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	154	16	170

Error

0.0b

Counts

170 → 16

Alt Table

Status	Error	Program
	2.9b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (*.f64 (fabs.f64 s) x)) 2))
✓	2.2b	(/.f64 (cos.f64 (.f64 2 x)) (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))))
	3.0b	(-.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)))
	3.1b	(.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)))
	24.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	20.9b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 s)) 2)) (pow.f64 (fabs.f64 x) 2))
	9.8b	(.f64 (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))) (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))))
	20.9b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))
	48.5b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))) (sqrt.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)))) 2))
	2.5b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
	3.1b	(/.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))
	17.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
	20.8b	(/.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)))))
	27.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	1.8b	(/.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)))

Compiler

Compiled 3942 to 2026 computations (48.6% saved)

regimes1.2s (15.1%)

Accuracy

Total 0.6b remaining (90%)

Threshold costs 0.6b (90%)

Counts

164 → 2

Compiler

Compiled 26931 to 18720 computations (30.5% saved)

bsearch6.0ms (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

end10.0ms (0.1%)

Remove: (sort c s)
Compiler: Compiled 180 to 102 computations (43.3% saved)

sample2.5s (31.5%)

Algorithm

1×

intervals

Results

630.0ms	6079×	body	128	valid
521.0ms	1009×	body	1024	valid
204.0ms	1868×	body	128	invalid
201.0ms	601×	body	512	valid
107.0ms	224×	body	1024	invalid
88.0ms	239×	body	512	invalid
64.0ms	308×	body	256	valid
39.0ms	167×	body	256	invalid
3.0ms	3×	body	2048	valid

Compiler

Compiled 453 to 295 computations (34.9% saved)

Details

analyze1.3s (16.9%)

sample249.0ms (3.2%)

simplify109.0ms (1.4%)

prune3.0ms (0%)

localize12.0ms (0.1%)

series224.0ms (2.8%)

rewrite36.0ms (0.5%)

simplify151.0ms (1.9%)

prune253.0ms (3.2%)

localize10.0ms (0.1%)

series227.0ms (2.9%)

rewrite25.0ms (0.3%)

simplify134.0ms (1.7%)

prune215.0ms (2.7%)

localize9.0ms (0.1%)

series207.0ms (2.6%)

rewrite15.0ms (0.2%)

simplify100.0ms (1.3%)

prune166.0ms (2.1%)

localize10.0ms (0.1%)

series310.0ms (3.9%)

rewrite20.0ms (0.3%)

simplify120.0ms (1.5%)

prune245.0ms (3.1%)

regimes1.2s (15.1%)

bsearch6.0ms (0.1%)

simplify3.0ms (0%)

end10.0ms (0.1%)

sample2.5s (31.5%)

Profiling