Details

analyze2.9s (22.1%)

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)

sample145.0ms (1.1%)

Algorithm

1×

intervals

Results

39.0ms	198×	body	128	valid
25.0ms	28×	body	1024	valid
10.0ms	55×	body	128	invalid
9.0ms	17×	body	512	valid
6.0ms	5×	body	1024	invalid
5.0ms	7×	body	512	invalid
5.0ms	13×	body	256	valid
3.0ms	9×	body	256	invalid

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify127.0ms (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

prune5.0ms (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

28.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	28.0b	(/.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)

localize22.0ms (0.2%)

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)))
✓	4.7b	(.f64 (.f64 x (pow.f64 s 2)) x)
✓	8.4b	(*.f64 x (pow.f64 s 2))
✓	18.6b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

series1.0s (7.5%)

Counts

4 → 120

Calls

4 calls:

883.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
76.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
24.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
17.0ms	(*.f64 x (pow.f64 s 2))

rewrite72.0ms (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:

18.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
14.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
9.0ms	(*.f64 x (pow.f64 s 2))
9.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)

simplify262.0ms (2%)

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

prune478.0ms (3.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	174	13	187
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	13	188

Error

11.7b

Counts

188 → 13

Alt Table

Status	Error	Program
	25.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	45.9b	(/.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)))))
	28.2b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (*.f64 x (pow.f64 s 2)) 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)))))
	21.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x s) s) x)))
	45.9b	(/.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)))))
	58.1b	(/.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)))))
	56.0b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (fma.f64 2 (+.f64 (log.f64 c) (log.f64 s)) (.f64 2 (log.f64 x)))))
	24.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	58.4b	(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)))))
	28.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (pow.f64 s 2)) (cbrt.f64 (pow.f64 s 2)))) (cbrt.f64 (pow.f64 s 2))) x)))
	30.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
	44.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (sqrt.f64 x) (.f64 s (.f64 s (sqrt.f64 x)))) x)))

Compiler

Compiled 4894 to 2980 computations (39.1% saved)

localize22.0ms (0.2%)

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)))))
✓	18.6b	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))

series409.0ms (3.1%)

Counts

3 → 96

Calls

3 calls:

334.0ms

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

59.0ms

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

15.0ms

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

rewrite48.0ms (0.4%)

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:

14.0ms

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

12.0ms

(*.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)))

simplify228.0ms (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

prune379.0ms (2.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	137	9	146
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	145	14	159

Error

1.2b

Counts

159 → 14

Alt Table

Status	Error	Program
	5.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	45.9b	(/.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)))))
	56.0b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (fma.f64 2 (+.f64 (log.f64 c) (log.f64 s)) (.f64 2 (log.f64 x)))))
	20.2b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))
	14.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	24.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	28.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (pow.f64 s 2)) (cbrt.f64 (pow.f64 s 2)))) (cbrt.f64 (pow.f64 s 2))) x)))
	20.3b	(.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)))
	16.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
	17.0b	(/.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))))
	46.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 (sqrt.f64 c) 2) (fabs.f64 (.f64 s x))) (.f64 (pow.f64 (sqrt.f64 c) 2) (fabs.f64 (.f64 s x)))))
	30.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
▶	2.2b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	51.9b	(exp.f64 (fma.f64 -2 (log.f64 (.f64 c (fabs.f64 (.f64 s x)))) (log.f64 (cos.f64 (*.f64 2 x)))))

Compiler

Compiled 4241 to 2122 computations (50% saved)

localize19.0ms (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))
✓	4.9b	(.f64 c (fabs.f64 (.f64 s x)))

series388.0ms (2.9%)

Counts

3 → 72

Calls

3 calls:

333.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
38.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
16.0ms	(.f64 c (fabs.f64 (.f64 s x)))

rewrite30.0ms (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:

9.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
6.0ms	(.f64 c (fabs.f64 (.f64 s x)))
6.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)

simplify198.0ms (1.5%)

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

prune322.0ms (2.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	98	9	107
Fresh	8	5	13
Picked	1	0	1
Done	0	0	0
Total	107	14	121

Error

0.0b

Counts

121 → 14

Alt Table

Status	Error	Program
	5.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	1.8b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
	2.7b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.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)))) 2))
	16.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (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))))
	24.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	8.7b	(.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))))
	2.9b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (.f64 (cbrt.f64 (.f64 c (fabs.f64 (.f64 s x)))) (cbrt.f64 (.f64 c (fabs.f64 (.f64 s x))))) (cbrt.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)))
	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))))
	2.0b	(.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)))))
	20.2b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))
	30.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
▶	1.5b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))

Compiler

Compiled 3181 to 1723 computations (45.8% saved)

localize21.0ms (0.2%)

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))
✓	4.7b	(.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))

series597.0ms (4.5%)

Counts

3 → 108

Calls

3 calls:

513.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
57.0ms	(pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)
27.0ms	(.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))

rewrite43.0ms (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:

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

simplify223.0ms (1.7%)

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

prune524.0ms (3.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	149	8	157
Fresh	8	5	13
Picked	1	0	1
Done	0	0	0
Total	158	13	171

Error

0.0b

Counts

171 → 13

Alt Table

Status	Error	Program
	1.8b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
	17.5b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 s)) 2)) (pow.f64 (fabs.f64 x) 2))
	16.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (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))))
	1.7b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (.f64 (.f64 c (fabs.f64 s)) (sqrt.f64 (fabs.f64 x))) (sqrt.f64 (fabs.f64 x))) 2))
	20.2b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))
	17.5b	(.f64 (/.f64 1 (pow.f64 (.f64 c (fabs.f64 s)) 2)) (/.f64 (cos.f64 (.f64 x 2)) (.f64 x x)))
	8.1b	(.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))))
	24.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	1.6b	(-.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)))
	1.9b	(.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))))
	1.5b	(.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x))))
	19.4b	(cbrt.f64 (.f64 (.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))))

Compiler

Compiled 3966 to 2033 computations (48.7% saved)

regimes2.4s (17.9%)

Accuracy

Total 0.7b remaining (90.9%)

Threshold costs 0.7b (90.9%)

Counts

229 → 2

Compiler

Compiled 36094 to 25122 computations (30.4% saved)

bsearch9.0ms (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`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	82
1	41	82
2	42	82
3	41	82

end8.0ms (0.1%)

Remove: (sort c s)
Compiler: Compiled 168 to 111 computations (33.9% saved)

sample2.4s (18%)

Algorithm

1×

intervals

Results

612.0ms	6100×	body	128	valid
494.0ms	969×	body	1024	valid
194.0ms	1923×	body	128	invalid
189.0ms	611×	body	512	valid
104.0ms	218×	body	1024	invalid
72.0ms	240×	body	512	invalid
65.0ms	319×	body	256	valid
31.0ms	164×	body	256	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 473 to 305 computations (35.5% saved)

Details

analyze2.9s (22.1%)

sample145.0ms (1.1%)

simplify127.0ms (1%)

prune5.0ms (0%)

localize22.0ms (0.2%)

series1.0s (7.5%)

rewrite72.0ms (0.5%)

simplify262.0ms (2%)

prune478.0ms (3.6%)

localize22.0ms (0.2%)

series409.0ms (3.1%)

rewrite48.0ms (0.4%)

simplify228.0ms (1.7%)

prune379.0ms (2.9%)

localize19.0ms (0.1%)

series388.0ms (2.9%)

rewrite30.0ms (0.2%)

simplify198.0ms (1.5%)

prune322.0ms (2.4%)

localize21.0ms (0.2%)

series597.0ms (4.5%)

rewrite43.0ms (0.3%)

simplify223.0ms (1.7%)

prune524.0ms (3.9%)

regimes2.4s (17.9%)

bsearch9.0ms (0.1%)

simplify3.0ms (0%)

end8.0ms (0.1%)

sample2.4s (18%)

Profiling