Details

analyze1.7s (18.1%)

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)

sample85.0ms (0.9%)

Algorithm

1×

intervals

Results

25.0ms	200×	body	128	valid
16.0ms	33×	body	1024	valid
6.0ms	58×	body	128	invalid
5.0ms	17×	body	512	valid
4.0ms	10×	body	512	invalid
3.0ms	7×	body	1024	invalid
1.0ms	6×	body	256	valid
1.0ms	4×	body	256	invalid

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify125.0ms (1.3%)

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 → 1

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

29.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	29.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))

Compiler

Compiled 57 to 40 computations (29.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
3.6b	(.f64 (.f64 x (pow.f64 s 2)) x)
8.5b	(*.f64 x (pow.f64 s 2))
20.4b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

rewrite216.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

13.0b

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)))
8.0ms	(.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))

Compiler

Compiled 2577 to 1765 computations (31.5% saved)

series113.0ms (1.2%)

Error

28.9b

Counts

4 → 31

Calls

4 calls:

49.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
28.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
15.0ms	(*.f64 x (pow.f64 s 2))
14.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)

Compiler

Compiled 1277 to 996 computations (22% saved)

simplify119.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

853×	`associate-/l*_binary64`
439×	`associate-/l/_binary64`
235×	`associate-r_binary64`
235×	`associate-l_binary64`
225×	`associate-*l/_binary64`

Counts

158 → 147

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	3465
1	382	2993
2	1558	2976
3	4726	2911
4	5001	2911

prune87.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	136	11	147
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	11	148

Error

12.7b

Counts

148 → 11

Alt Table

Status	Error	Program
	33.9b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 x x))))
	55.2b	(exp.f64 (-.f64 (log.f64 (cos.f64 (.f64 2 x))) (fma.f64 2 (log.f64 (.f64 c s)) (*.f64 2 (log.f64 x)))))
	29.8b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c c)) (.f64 (.f64 x (pow.f64 s 2)) x))
	29.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	45.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (.f64 s (.f64 s (sqrt.f64 x)))) (sqrt.f64 x))))
	29.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 (.f64 s s) (.f64 c c))) x))
	36.0b	(.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))))))
	23.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x s) (pow.f64 s (/.f64 2 2))) x)))
	50.2b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (fma.f64 2 (log.f64 (.f64 c s)) (*.f64 2 (log.f64 x)))))
	36.0b	(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))) 3))
▶	21.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 x s)) (fabs.f64 (*.f64 x s)))))

Compiler

Compiled 1896 to 943 computations (50.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(cos.f64 (*.f64 2 x))
0.3b	(.f64 (fabs.f64 (.f64 x s)) (fabs.f64 (*.f64 x s)))
0.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 x s)) (fabs.f64 (*.f64 x s)))))
20.4b	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 x s)) (fabs.f64 (.f64 x s))))

rewrite175.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

40×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
19×	`prod-exp_binary64`
16×	`add-sqr-sqrt_binary64`
12×	`associate-l_binary64`

Counts

4 → 104

Calls

4 calls:

8.0ms	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 x s)) (fabs.f64 (.f64 x s))))
7.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 x s)) (fabs.f64 (*.f64 x s)))))
4.0ms	(.f64 (fabs.f64 (.f64 x s)) (fabs.f64 (*.f64 x s)))
1.0ms	(cos.f64 (*.f64 2 x))

Compiler

Compiled 2458 to 1044 computations (57.5% saved)

series137.0ms (1.4%)

Error

12.7b

Counts

4 → 29

Calls

4 calls:

56.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 x s)) (fabs.f64 (*.f64 x s)))))
36.0ms	(cos.f64 (*.f64 2 x))
26.0ms	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 x s)) (fabs.f64 (.f64 x s))))
12.0ms	(.f64 (fabs.f64 (.f64 x s)) (fabs.f64 (*.f64 x s)))

Compiler

Compiled 1193 to 877 computations (26.5% saved)

simplify138.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

823×	`associate-/l*_binary64`
435×	`unswap-sqr_binary64`
377×	`associate-/l/_binary64`
237×	`log-prod_binary64`
214×	`associate-r_binary64`

Counts

133 → 112

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	2813
1	304	2400
2	1532	2346
3	4614	2315
4	4990	2315
5	5022	2315

prune87.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	107	5	112
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	114	9	123

Error

1.9b

Counts

123 → 9

Alt Table

Status	Error	Program
	29.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	21.7b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c c)) (.f64 (fabs.f64 (.f64 x s)) (fabs.f64 (*.f64 x s))))
	26.3b	(.f64 (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c c) (pow.f64 (fabs.f64 (.f64 x s)) 2)))) (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c c) (pow.f64 (fabs.f64 (*.f64 x s)) 2)))))
	23.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x s) (pow.f64 s (/.f64 2 2))) x)))
	13.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 x s)) 2))))
▶	2.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 c (.f64 x s))) (fabs.f64 (.f64 c (.f64 x s)))))
	29.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 (.f64 s s) (.f64 c c))) x))
	6.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 x s)))) (fabs.f64 (.f64 x s))))
	36.0b	(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))) 3))

Compiler

Compiled 1565 to 871 computations (44.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (fabs.f64 (.f64 c (.f64 x s))) (fabs.f64 (.f64 c (*.f64 x s))))
0.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 c (.f64 x s))) (fabs.f64 (.f64 c (.f64 x s)))))
4.5b	(.f64 c (.f64 x s))
4.5b	(.f64 c (.f64 x s))

rewrite162.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

1.6b

Rules

21×	`add-cbrt-cube_binary64`
21×	`add-exp-log_binary64`
21×	`pow1_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`

Counts

4 → 96

Calls

4 calls:

6.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 c (.f64 x s))) (fabs.f64 (.f64 c (.f64 x s)))))
5.0ms	(.f64 (fabs.f64 (.f64 c (.f64 x s))) (fabs.f64 (.f64 c (*.f64 x s))))
4.0ms	(.f64 c (.f64 x s))
4.0ms	(.f64 c (.f64 x s))

Compiler

Compiled 2204 to 638 computations (71.1% saved)

series124.0ms (1.3%)

Error

0.4b

Counts

4 → 39

Calls

4 calls:

52.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 c (.f64 x s))) (fabs.f64 (.f64 c (.f64 x s)))))
20.0ms	(.f64 c (.f64 x s))
20.0ms	(.f64 (fabs.f64 (.f64 c (.f64 x s))) (fabs.f64 (.f64 c (*.f64 x s))))
19.0ms	(.f64 c (.f64 x s))

Compiler

Compiled 1673 to 1108 computations (33.8% saved)

simplify134.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

422×	`*-commutative_binary64`
408×	`fma-def_binary64`
369×	`associate-/l/_binary64`
247×	`associate-*l/_binary64`
245×	`log-prod_binary64`

Counts

135 → 122

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	2610
1	308	2281
2	1487	2233
3	4381	2231
4	4971	2231
5	4977	2231

prune120.0ms (1.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	113	9	122
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	116	15	131

Error

0.0b

Counts

131 → 15

Alt Table

Status	Error	Program
	3.8b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2)) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2)))
	21.7b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c c)) (.f64 (fabs.f64 (.f64 x s)) (fabs.f64 (*.f64 x s))))
	5.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (sqrt.f64 (fabs.f64 (.f64 c (.f64 x s)))) (pow.f64 (sqrt.f64 (fabs.f64 (.f64 s (.f64 x c)))) 3)))
▶	2.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (.f64 x s) (cbrt.f64 c)))) (fabs.f64 (.f64 c (.f64 x s)))))
	3.4b	(.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (fabs.f64 (.f64 s (.f64 x c)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (fabs.f64 (.f64 s (*.f64 x c)))))
	5.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 (.f64 (cbrt.f64 (.f64 s (.f64 x c))) (cbrt.f64 (.f64 s (.f64 x c)))) (cbrt.f64 (.f64 s (.f64 x c))))) (fabs.f64 (.f64 c (.f64 x s)))))
	4.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2)))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s (*.f64 x c))) 2))))
	3.7b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s (*.f64 x c))) 2))
	23.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x s) (pow.f64 s (/.f64 2 2))) x)))
	13.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 x s)) 2))))
✓	2.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 c (.f64 x s))) (fabs.f64 (.f64 c (.f64 x s)))))
	4.7b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 c (*.f64 x s))))
	6.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 x s)))) (fabs.f64 (.f64 x s))))
	36.0b	(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))) 3))
	4.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2)) (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2))) (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (*.f64 x c))) 2))))

Compiler

Compiled 2200 to 1056 computations (52% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (.f64 x s) (cbrt.f64 c)))) (fabs.f64 (.f64 c (.f64 x s)))))
1.4b	(.f64 (.f64 x s) (cbrt.f64 c))
3.4b	(.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (.f64 x s) (cbrt.f64 c)))
4.5b	(.f64 c (.f64 x s))

rewrite217.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

40×	`add-exp-log_binary64`
35×	`pow1_binary64`
28×	`add-cbrt-cube_binary64`
22×	`cbrt-unprod_binary64`
22×	`prod-exp_binary64`

Counts

4 → 97

Calls

4 calls:

11.0ms	(.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (.f64 x s) (cbrt.f64 c)))
6.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (.f64 x s) (cbrt.f64 c)))) (fabs.f64 (.f64 c (.f64 x s)))))
5.0ms	(.f64 (.f64 x s) (cbrt.f64 c))
4.0ms	(.f64 c (.f64 x s))

Compiler

Compiled 2867 to 774 computations (73% saved)

series171.0ms (1.8%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

62.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (.f64 x s) (cbrt.f64 c)))) (fabs.f64 (.f64 c (.f64 x s)))))
43.0ms	(.f64 (.f64 x s) (cbrt.f64 c))
26.0ms	(.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (.f64 x s) (cbrt.f64 c)))
19.0ms	(.f64 c (.f64 x s))

Compiler

Compiled 2228 to 1401 computations (37.1% saved)

simplify123.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

495×	`log-prod_binary64`
460×	`fma-def_binary64`
359×	`associate-l_binary64`
334×	`associate-r_binary64`
192×	`associate-*l/_binary64`

Counts

136 → 113

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	3786
1	513	2205
2	1895	2200
3	4472	2198
4	5280	2198

prune87.0ms (0.9%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	2	11	13
Picked	0	1	1
Done	0	1	1
Total	112	16	128

Error

0.0b

Counts

128 → 16

Alt Table

Status	Error	Program
	2.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 c) (.f64 x s))) (cbrt.f64 (.f64 (cbrt.f64 c) (.f64 x s)))) (cbrt.f64 (.f64 (cbrt.f64 c) (.f64 x s)))))) (fabs.f64 (.f64 c (.f64 x s)))))
	10.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (cbrt.f64 (pow.f64 (.f64 c (.f64 x s)) 3))) (fabs.f64 (.f64 c (.f64 x s)))))
	3.8b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2)) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2)))
	21.7b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c c)) (.f64 (fabs.f64 (.f64 x s)) (fabs.f64 (*.f64 x s))))
	3.4b	(.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (fabs.f64 (.f64 s (.f64 x c)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (fabs.f64 (.f64 s (*.f64 x c)))))
	5.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 (.f64 (cbrt.f64 (.f64 s (.f64 x c))) (cbrt.f64 (.f64 s (.f64 x c)))) (cbrt.f64 (.f64 s (.f64 x c))))) (fabs.f64 (.f64 c (.f64 x s)))))
	4.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2)))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s (*.f64 x c))) 2))))
	3.7b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s (*.f64 x c))) 2))
	10.9b	(.f64 (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 c (.f64 x s))) 2))) (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 c (*.f64 x s))) 2))))
	36.0b	(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))) 3))
✓	2.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 c (.f64 x s))) (fabs.f64 (.f64 c (.f64 x s)))))
	4.7b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 c (*.f64 x s))))
✓	2.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) (.f64 (.f64 x s) (cbrt.f64 c)))) (fabs.f64 (.f64 c (.f64 x s)))))
	6.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 x s)))) (fabs.f64 (.f64 x s))))
	23.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x s) (pow.f64 s (/.f64 2 2))) x)))
	4.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2)) (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 x c))) 2))) (cbrt.f64 (pow.f64 (fabs.f64 (.f64 s (*.f64 x c))) 2))))

Compiler

Compiled 1681 to 772 computations (54.1% saved)

regimes2.6s (27%)

Accuracy

Total 1.7b remaining (95.2%)

Threshold costs 0b (0%)

Compiler

Compiled 38165 to 24755 computations (35.1% saved)

bsearch88.0ms (0.9%)

Steps

Iters	Range		Point
4	2.9563063170327683e+200	5.8983442466586714e+200	4.184106550672061e+200
5	1.380484157752514e-218	9.895431780329993e-216	1.716436258888434e-218

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`fabs-mul_binary64`
7×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	102
1	43	102
2	50	102
3	49	102

end9.0ms (0.1%)

Compiler: Compiled 207 to 102 computations (50.7% saved)

sample2.7s (27.9%)

Algorithm

1×

intervals

Results

626.0ms	6206×	body	128	valid
453.0ms	897×	body	1024	valid
198.0ms	1907×	body	128	invalid
182.0ms	595×	body	512	valid
103.0ms	207×	body	1024	invalid
73.0ms	232×	body	512	invalid
60.0ms	300×	body	256	valid
31.0ms	157×	body	256	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 552 to 322 computations (41.7% saved)

Details

analyze1.7s (18.1%)

sample85.0ms (0.9%)

simplify125.0ms (1.3%)

prune2.0ms (0%)

localize11.0ms (0.1%)

rewrite216.0ms (2.3%)

series113.0ms (1.2%)

simplify119.0ms (1.3%)

prune87.0ms (0.9%)

localize11.0ms (0.1%)

rewrite175.0ms (1.8%)

series137.0ms (1.4%)

simplify138.0ms (1.5%)

prune87.0ms (0.9%)

localize11.0ms (0.1%)

rewrite162.0ms (1.7%)

series124.0ms (1.3%)

simplify134.0ms (1.4%)

prune120.0ms (1.3%)

localize17.0ms (0.2%)

rewrite217.0ms (2.3%)

series171.0ms (1.8%)

simplify123.0ms (1.3%)

prune87.0ms (0.9%)

regimes2.6s (27%)

bsearch88.0ms (0.9%)

simplify5.0ms (0.1%)

end9.0ms (0.1%)

sample2.7s (27.9%)

Profiling