Details

analyze1.2s (14%)

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 (34.3%)

Symmetry

(sort c s)

Results

1.1s	6344×	body	128	valid
681.0ms	984×	body	1024	valid
337.0ms	1960×	body	128	invalid
270.0ms	606×	body	512	valid
150.0ms	225×	body	1024	invalid
107.0ms	237×	body	512	invalid
97.0ms	318×	body	256	valid
51.0ms	167×	body	256	invalid
5.0ms	4×	body	2048	valid

Compiler

Compiled 59 to 44 computations (25.4% saved)

simplify107.0ms (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

27.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	27.9b	(/.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
✓	0.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
✓	5.6b	(.f64 (.f64 x (pow.f64 s 2)) x)
✓	7.9b	(*.f64 x (pow.f64 s 2))
✓	17.3b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

series205.0ms (2.3%)

Counts

4 → 120

Calls

4 calls:

147.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
37.0ms	(.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))

rewrite34.0ms (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:

7.0ms	(/.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))
4.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
4.0ms	(*.f64 x (pow.f64 s 2))

simplify143.0ms (1.6%)

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

prune304.0ms (3.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	175	12	187
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	176	12	188

Error

8.6b

Counts

188 → 12

Alt Table

Status	Error	Program
	59.6b	(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)))))
	42.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (.f64 s (sqrt.f64 x)) (.f64 s (sqrt.f64 x))) x)))
	31.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))) (cbrt.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))) (cbrt.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))))
▶	18.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
	26.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	22.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	57.3b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (fma.f64 2 (+.f64 (log.f64 c) (log.f64 s)) (.f64 2 (log.f64 x)))))
	21.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x s) s) x)))
	30.9b	(/.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))))))
	55.2b	(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)))))
	32.0b	(/.f64 1 (/.f64 (.f64 c c) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (*.f64 x x)))))
	28.5b	(.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (pow.f64 s 2)) x)))

Compiler

Compiled 4908 to 2922 computations (40.5% saved)

localize10.0ms (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)))
✓	0.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
✓	17.3b	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))

series239.0ms (2.7%)

Counts

3 → 96

Calls

3 calls:

200.0ms

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

31.0ms

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

7.0ms

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

rewrite24.0ms (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 (pow.f64 c 2) (*.f64 (fabs.f64 (*.f64 s x)) (fabs.f64 (*.f64 s x))))

7.0ms

(/.f64 (cos.f64 (*.f64 2 x)) (*.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)))

simplify130.0ms (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

prune267.0ms (3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	138	8	146
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	144	14	158

Error

1.8b

Counts

158 → 14

Alt Table

Status	Error	Program
	21.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x s) s) x)))
	27.2b	(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 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x)))) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))))
	19.0b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))
▶	2.5b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	55.2b	(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)))))
	10.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	59.6b	(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)))))
	31.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))) (cbrt.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))) (cbrt.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))))
	18.6b	(/.f64 1 (/.f64 (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x)))) (cos.f64 (*.f64 2 x))))
	22.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	57.3b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (fma.f64 2 (+.f64 (log.f64 c) (log.f64 s)) (.f64 2 (log.f64 x)))))
	18.8b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2)))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2))))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 s x)) 2)))))
	14.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
	31.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 s s) (*.f64 x x))))

Compiler

Compiled 4389 to 2146 computations (51.1% 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)
✓	0.4b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
✓	5.6b	(.f64 c (fabs.f64 (.f64 s x)))

series210.0ms (2.4%)

Counts

3 → 72

Calls

3 calls:

182.0ms	(/.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)
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))
4.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
3.0ms	(.f64 c (fabs.f64 (.f64 s x)))

simplify97.0ms (1.1%)

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

prune193.0ms (2.2%)

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

0.0b

Counts

121 → 15

Alt Table

Status	Error	Program
	14.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
	3.0b	(/.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)))
	2.6b	(-.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)))
	2.9b	(.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))))
	59.6b	(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)))))
	18.6b	(/.f64 1 (/.f64 (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x)))) (cos.f64 (*.f64 2 x))))
	2.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.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 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
	27.2b	(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 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x)))) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))))
	3.0b	(.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))))
	2.5b	(.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)))))
	10.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	4.0b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	2.7b	(/.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))
	22.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))

Compiler

Compiled 3319 to 1803 computations (45.7% saved)

localize10.0ms (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))))
✓	1.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (*.f64 s x))))
	5.6b	(.f64 c (fabs.f64 (.f64 s x)))

series226.0ms (2.6%)

Counts

2 → 40

Calls

2 calls:

179.0ms	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
47.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (*.f64 s x))))

rewrite16.0ms (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))))

simplify75.0ms (0.9%)

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

prune304.0ms (3.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	159	6	165
Fresh	7	7	14
Picked	1	0	1
Done	0	0	0
Total	167	13	180

Error

0.0b

Counts

180 → 13

Alt Table

Status	Error	Program
	2.5b	(.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)))))
	2.4b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (sqrt.f64 (fabs.f64 (.f64 s x)))) (sqrt.f64 (fabs.f64 (.f64 s x))))) (.f64 c (fabs.f64 (*.f64 s x))))
	14.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
	3.0b	(/.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)))
	59.6b	(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)))))
	18.6b	(/.f64 1 (/.f64 (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x)))) (cos.f64 (*.f64 2 x))))
	6.1b	(.f64 (/.f64 1 c) (/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (*.f64 s x))))
	5.7b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))) (.f64 c (fabs.f64 (*.f64 s x))))
	2.4b	(/.f64 (-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 c (fabs.f64 (.f64 s x)))) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 c (fabs.f64 (.f64 s x))))) (.f64 c (fabs.f64 (.f64 s x))))
	10.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	4.0b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	10.7b	(.f64 (/.f64 1 c) (/.f64 (/.f64 (cos.f64 (.f64 x 2)) c) (pow.f64 (fabs.f64 (*.f64 s x)) 2)))
	2.7b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s 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)))))

Compiler

Compiled 4832 to 1855 computations (61.6% saved)

regimes1.7s (19%)

Accuracy

Total 0.8b remaining (87.2%)

Threshold costs 0.8b (87.2%)

Counts

225 → 2

Compiler

Compiled 39677 to 25357 computations (36.1% 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	29	79
1	38	79
2	39	79
3	39	79

end236.0ms (2.7%)

Remove: (sort c s)
Compiler: Compiled 553 to 347 computations (37.3% saved)

Details

analyze1.2s (14%)

sample3.0s (34.3%)

simplify107.0ms (1.2%)

prune3.0ms (0%)

localize10.0ms (0.1%)

series205.0ms (2.3%)

rewrite34.0ms (0.4%)

simplify143.0ms (1.6%)

prune304.0ms (3.5%)

localize10.0ms (0.1%)

series239.0ms (2.7%)

rewrite24.0ms (0.3%)

simplify130.0ms (1.5%)

prune267.0ms (3%)

localize9.0ms (0.1%)

series210.0ms (2.4%)

rewrite15.0ms (0.2%)

simplify97.0ms (1.1%)

prune193.0ms (2.2%)

localize10.0ms (0.1%)

series226.0ms (2.6%)

rewrite16.0ms (0.2%)

simplify75.0ms (0.9%)

prune304.0ms (3.5%)

regimes1.7s (19%)

bsearch10.0ms (0.1%)

simplify3.0ms (0%)

end236.0ms (2.7%)

Profiling