Details

analyze1.3s (12.9%)

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)

sample3.7s (37.8%)

Symmetry

(sort c s)

Results

1.7s	6242×	body	128	valid
744.0ms	1018×	body	1024	valid
345.0ms	1961×	body	128	invalid
295.0ms	628×	body	512	valid
150.0ms	258×	body	512	invalid
140.0ms	210×	body	1024	invalid
118.0ms	365×	body	256	valid
48.0ms	156×	body	256	invalid
4.0ms	3×	body	2048	valid

Compiler

Compiled 59 to 44 computations (25.4% saved)

simplify109.0ms (1.1%)

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

29.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	29.6b	(/.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)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
✓	3.9b	(.f64 (.f64 x (pow.f64 s 2)) x)
✓	9.4b	(*.f64 x (pow.f64 s 2))
✓	19.9b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

series172.0ms (1.7%)

Counts

4 → 120

Calls

4 calls:

121.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
33.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
10.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
7.0ms	(*.f64 x (pow.f64 s 2))

rewrite34.0ms (0.3%)

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

simplify161.0ms (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

prune275.0ms (2.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	169	18	187
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	170	18	188

Error

9.9b

Counts

188 → 18

Alt Table

Status	Error	Program
	55.1b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (+.f64 (.f64 (log.f64 c) 2) (+.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 s) 2)) (log.f64 x)))))
	34.0b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 x x))))
	27.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	33.4b	(/.f64 (cos.f64 (.f64 2 x)) (expm1.f64 (log1p.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))))
	28.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	30.9b	(.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)))))
	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)))
	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)))))
	34.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (cbrt.f64 (.f64 (.f64 (.f64 x (pow.f64 s 2)) (.f64 x (pow.f64 s 2))) (.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)))))
	33.0b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))))
	32.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) (pow.f64 (sqrt.f64 s) 2)) x)))
	22.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	29.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 x) (pow.f64 s 2))) x)))
	33.0b	(/.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))))))
	52.8b	(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)))))
▶	21.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
	22.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x s) s) x)))

Compiler

Compiled 5248 to 3152 computations (39.9% 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)))
✓	0.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
✓	19.9b	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))

series180.0ms (1.8%)

Counts

3 → 96

Calls

3 calls:

132.0ms

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

41.0ms

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

8.0ms

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

rewrite24.0ms (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:

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)))))

4.0ms

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

simplify134.0ms (1.4%)

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

prune250.0ms (2.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	138	8	146
Fresh	9	8	17
Picked	1	0	1
Done	0	0	0
Total	148	16	164

Error

2.6b

Counts

164 → 16

Alt Table

Status	Error	Program
	23.8b	(.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)))))
	21.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (cbrt.f64 (fabs.f64 (.f64 s x))) 5) (cbrt.f64 (fabs.f64 (*.f64 s x))))))
	16.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
	34.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (cbrt.f64 (.f64 (.f64 (.f64 x (pow.f64 s 2)) (.f64 x (pow.f64 s 2))) (.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)))))
	13.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	33.0b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))))
	32.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) (pow.f64 (sqrt.f64 s) 2)) x)))
	21.3b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))
	22.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	29.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 x) (pow.f64 s 2))) x)))
▶	3.0b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	52.8b	(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)))))
	6.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	21.3b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))
	22.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x s) s) x)))

Compiler

Compiled 4385 to 2176 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)
✓	0.6b	(/.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)))

series160.0ms (1.6%)

Counts

3 → 72

Calls

3 calls:

133.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
19.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
7.0ms	(.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))
3.0ms	(.f64 c (fabs.f64 (.f64 s x)))
3.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)

simplify97.0ms (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

prune174.0ms (1.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	100	7	107
Fresh	7	8	15
Picked	1	0	1
Done	0	0	0
Total	108	15	123

Error

0.2b

Counts

123 → 15

Alt Table

Status	Error	Program
	23.8b	(.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)))))
	21.3b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (pow.f64 (fabs.f64 (.f64 s x)) 2))
	3.8b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	21.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (cbrt.f64 (fabs.f64 (.f64 s x))) 5) (cbrt.f64 (fabs.f64 (*.f64 s x))))))
	6.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	3.4b	(.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))))
	13.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
▶	2.7b	(.f64 (/.f64 1 (.f64 c (fabs.f64 (.f64 s x)))) (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))))
	32.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) (pow.f64 (sqrt.f64 s) 2)) x)))
	21.3b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))
	22.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	29.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 x) (pow.f64 s 2))) x)))
	3.1b	(-.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)))
	3.2b	(/.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))
	3.3b	(.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))))

Compiler

Compiled 3163 to 1733 computations (45.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 (.f64 c (fabs.f64 (.f64 s x)))) (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))))
✓	0.7b	(/.f64 1 (.f64 c (fabs.f64 (.f64 s x))))
✓	0.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (*.f64 s x))))
	4.9b	(.f64 c (fabs.f64 (.f64 s x)))

series243.0ms (2.5%)

Counts

3 → 40

Calls

3 calls:

132.0ms

(*.f64 (/.f64 1 (*.f64 c (fabs.f64 (*.f64 s x)))) (/.f64 (cos.f64 (*.f64 2 x)) (*.f64 c (fabs.f64 (*.f64 s x)))))

77.0ms

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

34.0ms

(/.f64 1 (*.f64 c (fabs.f64 (*.f64 s x))))

rewrite31.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-exp-log_binary64`
49×	`add-cbrt-cube_binary64`
41×	`prod-exp_binary64`
32×	`div-exp_binary64`
17×	`cbrt-unprod_binary64`

Counts

3 → 113

Calls

3 calls:

11.0ms

(*.f64 (/.f64 1 (*.f64 c (fabs.f64 (*.f64 s x)))) (/.f64 (cos.f64 (*.f64 2 x)) (*.f64 c (fabs.f64 (*.f64 s x)))))

6.0ms

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

4.0ms

(/.f64 1 (*.f64 c (fabs.f64 (*.f64 s x))))

simplify188.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
487×	`fma-neg_binary64`
407×	`associate-/r/_binary64`
363×	`*-commutative_binary64`
204×	`times-frac_binary64`

Counts

153 → 165

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	4465
1	413	3489
2	1699	3447
3	3458	3399
4	4853	3399
5	4998	3399
6	4977	3399

prune402.0ms (4.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	205	6	211
Fresh	6	8	14
Picked	1	0	1
Done	0	0	0
Total	212	14	226

Error

0.2b

Counts

226 → 14

Alt Table

Status	Error	Program
	3.1b	(.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 c (fabs.f64 (.f64 s x))))) (cbrt.f64 (/.f64 1 (.f64 c (fabs.f64 (.f64 s x)))))) (.f64 (cbrt.f64 (/.f64 1 (.f64 c (fabs.f64 (.f64 s x))))) (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x))))))
	21.3b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (pow.f64 (fabs.f64 (.f64 s x)) 2))
	3.8b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	21.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (cbrt.f64 (fabs.f64 (.f64 s x))) 5) (cbrt.f64 (fabs.f64 (*.f64 s x))))))
	6.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	3.4b	(.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))))
	2.7b	(.f64 (/.f64 (/.f64 1 c) (fabs.f64 (.f64 s x))) (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (*.f64 s x)))))
	3.1b	(-.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)))
	2.7b	(.f64 (/.f64 1 (.f64 c (fabs.f64 (.f64 s x)))) (.f64 (/.f64 1 c) (/.f64 (cos.f64 (.f64 2 x)) (fabs.f64 (.f64 s x)))))
	3.0b	(.f64 (/.f64 1 (.f64 c (fabs.f64 (.f64 s x)))) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (fabs.f64 (.f64 s x)) (cbrt.f64 c)))))
	5.6b	(.f64 (/.f64 1 (.f64 c (fabs.f64 (.f64 s x)))) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))))
	21.3b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))
	2.7b	(.f64 (/.f64 1 (.f64 (.f64 c (sqrt.f64 (fabs.f64 (.f64 s x)))) (sqrt.f64 (fabs.f64 (.f64 s x))))) (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))))
	32.1b	(/.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 6420 to 2660 computations (58.6% saved)

regimes1.8s (18.1%)

Accuracy

Total 0.7b remaining (89.2%)

Threshold costs 0.7b (89.2%)

Counts

209 → 2

Compiler

Compiled 34038 to 22566 computations (33.7% saved)

bsearch9.0ms (0.1%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
2×	`fabs-mul_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	82
1	43	82
2	44	82
3	43	82

end373.0ms (3.8%)

Compiler: Compiled 602 to 386 computations (35.9% saved)

Details

analyze1.3s (12.9%)

sample3.7s (37.8%)

simplify109.0ms (1.1%)

prune3.0ms (0%)

localize11.0ms (0.1%)

series172.0ms (1.7%)

rewrite34.0ms (0.3%)

simplify161.0ms (1.6%)

prune275.0ms (2.8%)

localize10.0ms (0.1%)

series180.0ms (1.8%)

rewrite24.0ms (0.2%)

simplify134.0ms (1.4%)

prune250.0ms (2.5%)

localize10.0ms (0.1%)

series160.0ms (1.6%)

rewrite16.0ms (0.2%)

simplify97.0ms (1%)

prune174.0ms (1.8%)

localize10.0ms (0.1%)

series243.0ms (2.5%)

rewrite31.0ms (0.3%)

simplify188.0ms (1.9%)

prune402.0ms (4.1%)

regimes1.8s (18.1%)

bsearch9.0ms (0.1%)

simplify3.0ms (0%)

end373.0ms (3.8%)

Profiling