Details

analyze621.0ms (5.7%)

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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	68.6%	6.4%	7
31.2%	62.4%	6.4%	8
36.7%	54.6%	8.7%	9
38.2%	48.4%	13.4%	10
42.7%	42.3%	15%	11
47.8%	34.1%	18.1%	12
49.1%	30.3%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample135.0ms (1.2%)

Algorithm

1×

intervals

Results

11.0ms	166×	body	128	valid
11.0ms	35×	body	2048	valid
7.0ms	19×	body	1024	valid
6.0ms	16×	body	4096	valid
3.0ms	17×	body	512	valid
1.0ms	13×	body	128	nan
1.0ms	11×	body	128	invalid
0.0ms	3×	body	256	valid

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify362.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1968×	`fma-neg_binary64`
1363×	`fma-def_binary64`
898×	`div-sub_binary64`
743×	`associate-/l*_binary64`
567×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	30	22
2	64	22
3	135	22
4	201	22
5	335	22
6	554	22
7	929	22
8	1477	22
9	2115	22
10	2599	22
11	2554	22
12	2602	22
13	2671	22
14	3117	22
15	2327	22
16	2375	22
17	2383	22
18	2389	22
19	2395	22
20	2397	22
21	2397	22
22	2585	22
23	2685	22
24	2619	22
25	2631	22
26	2661	22
27	2677	22
28	2707	22
29	2707	22
30	2751	22
31	2851	22
32	2827	22
33	2827	22
34	2638	22

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

35.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	35.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	35.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	0.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	1.0b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	23.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series215.0ms (2%)

Counts

4 → 96

Calls

4 calls:

97.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
58.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
49.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
10.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`fma-def_binary64`
10×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64`

Counts

4 → 90

Calls

4 calls:

9.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
8.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
3.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

simplify123.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-neg_binary64`
340×	`cancel-sign-sub-inv_binary64`
242×	`distribute-rgt-neg-in_binary64`
156×	`associate-r_binary64`
151×	`distribute-rgt-neg-out_binary64`

Counts

186 → 207

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	259	4286
1	716	3943
2	2528	3797
3	4700	3771
4	5026	3771

prune171.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	195	12	207
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	197	12	209

Error

6.2b

Counts

209 → 12

Alt Table

Status	Error	Program
	35.7b	(.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (/.f64 1 (*.f64 3 a)))
	39.1b	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)))) (*.f64 3 a))
	35.7b	(.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (/.f64 1/3 a))
	57.0b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a))
	36.5b	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))) (.f64 3 a))
	47.6b	(/.f64 (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8 (.f64 (/.f64 (.f64 c a) b) -3/2)) (.f64 3 a))
▶	34.1b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) b)) 3) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b)) a))
	45.6b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
	43.9b	(fma.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) -3/8 (*.f64 -1/2 (/.f64 c b)))
	40.1b	(*.f64 -1/2 (/.f64 c b))
	40.2b	(/.f64 (sqrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (/.f64 3 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b)) a)))
	45.4b	(/.f64 (.f64 -2 b) (.f64 3 a))

Compiler

Compiled 5841 to 3456 computations (40.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) b)) 3) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b)) a))
✓	0.2b	(.f64 c (.f64 a -3))
✓	0.4b	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) b)
✓	14.1b	(sqrt.f64 (.f64 c (.f64 a -3)))

series497.0ms (4.6%)

Counts

4 → 48

Calls

4 calls:

293.0ms	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) b)) 3) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b)) a))
177.0ms	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) b)
23.0ms	(sqrt.f64 (.f64 c (.f64 a -3)))
5.0ms	(.f64 c (.f64 a -3))

rewrite53.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`add-sqr-sqrt_binary64`
60×	`times-frac_binary64`
57×	`*-un-lft-identity_binary64`
43×	`add-cube-cbrt_binary64`
37×	`sqrt-prod_binary64`

Counts

4 → 151

Calls

4 calls:

21.0ms	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) b)) 3) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b)) a))
5.0ms	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) b)
4.0ms	(.f64 c (.f64 a -3))
3.0ms	(sqrt.f64 (.f64 c (.f64 a -3)))

simplify186.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

512×	`fma-def_binary64`
272×	`fma-neg_binary64`
269×	`cancel-sign-sub-inv_binary64`
236×	`associate-r_binary64`
223×	`associate-l_binary64`

Counts

199 → 258

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	337	6145
1	863	5413
2	3091	5148
3	4779	4954
4	4977	4954
5	4888	4954

prune353.0ms (3.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	367	3	370
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	368	14	382

Error

6.2b

Counts

382 → 14

Alt Table

Status	Error	Program
▶	35.7b	(.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (/.f64 1 (*.f64 3 a)))
	39.1b	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)))) (*.f64 3 a))
	45.6b	(fma.f64 (/.f64 (.f64 -3 c) b) -1/6 (.f64 (/.f64 b a) -2/3))
✓	34.1b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) b)) 3) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b)) a))
	35.7b	(.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (/.f64 1/3 a))
	57.0b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a))
	36.5b	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))) (.f64 3 a))
	47.6b	(/.f64 (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8 (.f64 (/.f64 (.f64 c a) b) -3/2)) (.f64 3 a))
	43.9b	(fma.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) -3/8 (*.f64 -1/2 (/.f64 c b)))
	40.1b	(*.f64 -1/2 (/.f64 c b))
	40.2b	(/.f64 (sqrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (/.f64 3 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b)) a)))
	49.6b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) b)) 3) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -3))) b) b)) a))
	45.4b	(/.f64 (.f64 -2 b) (.f64 3 a))
	40.2b	(.f64 1/6 (/.f64 (.f64 -3 c) b))

Compiler

Compiled 14772 to 9641 computations (34.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 3 a))
	0.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
	1.0b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
	23.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series2.0ms (0%)

Counts

1 → 12

Calls

1 calls:

2.0ms

(/.f64 1 (*.f64 3 a))

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-exp-log_binary64`
6×	`add-cbrt-cube_binary64`
4×	`div-exp_binary64`
4×	`pow1_binary64`
3×	`associate-/l*_binary64`

Counts

1 → 30

Calls

1 calls:

4.0ms

(/.f64 1 (*.f64 3 a))

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

847×	`fma-def_binary64`
542×	`fma-neg_binary64`
519×	`fabs-mul_binary64`
423×	`sqr-pow_binary64`
412×	`pow-sqr_binary64`

Counts

42 → 41

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	231
1	87	204
2	206	204
3	455	204
4	592	204
5	854	204
6	1622	204
7	2005	204
8	2446	204
9	2753	204
10	3111	204
11	3895	204
12	4649	204
13	4837	204

prune160.0ms (1.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	181	14	195

Error

6.2b

Counts

195 → 14

Alt Table

Status	Error	Program
✓	35.7b	(.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (/.f64 1 (*.f64 3 a)))
	39.1b	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)))) (*.f64 3 a))
	45.6b	(fma.f64 (/.f64 (.f64 -3 c) b) -1/6 (.f64 (/.f64 b a) -2/3))
✓	34.1b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) b)) 3) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b)) a))
▶	35.7b	(.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (/.f64 1/3 a))
	57.0b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a))
	36.5b	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))) (.f64 3 a))
	47.6b	(/.f64 (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8 (.f64 (/.f64 (.f64 c a) b) -3/2)) (.f64 3 a))
	43.9b	(fma.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) -3/8 (*.f64 -1/2 (/.f64 c b)))
	40.1b	(*.f64 -1/2 (/.f64 c b))
	40.2b	(/.f64 (sqrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (/.f64 3 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b)) a)))
	49.6b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) b)) 3) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -3))) b) b)) a))
	45.4b	(/.f64 (.f64 -2 b) (.f64 3 a))
	40.2b	(.f64 1/6 (/.f64 (.f64 -3 c) b))

Compiler

Compiled 5254 to 3260 computations (38% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1/3 a)
	0.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
	1.0b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
	23.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series2.0ms (0%)

Counts

1 → 0

Calls

1 calls:

2.0ms

(/.f64 1/3 a)

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 29

Calls

1 calls:

2.0ms

(/.f64 1/3 a)

simplify139.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

826×	`associate-/r/_binary64`
688×	`*-commutative_binary64`
667×	`associate-*l/_binary64`
521×	`sqr-pow_binary64`
416×	`unswap-sqr_binary64`

Counts

29 → 33

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	281
1	85	263
2	139	263
3	190	263
4	313	263
5	429	263
6	604	263
7	1144	263
8	2174	263
9	2628	263
10	2830	263
11	3019	263
12	3234	263
13	3496	263
14	4158	263
15	4864	263
16	4949	263
17	4906	263

prune136.0ms (1.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	1	10	11
Picked	0	1	1
Done	0	2	2
Total	173	14	187

Error

6.2b

Counts

187 → 14

Alt Table

Status	Error	Program
✓	35.7b	(.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (/.f64 1 (*.f64 3 a)))
	39.1b	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)))) (*.f64 3 a))
	45.6b	(fma.f64 (/.f64 (.f64 -3 c) b) -1/6 (.f64 (/.f64 b a) -2/3))
✓	34.1b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) b)) 3) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b)) a))
✓	35.7b	(.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (/.f64 1/3 a))
	57.0b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a))
	40.1b	(*.f64 -1/2 (/.f64 c b))
	45.3b	(.f64 (.f64 (/.f64 (*.f64 c a) b) -3/2) (/.f64 1/3 a))
	43.9b	(fma.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) -3/8 (*.f64 -1/2 (/.f64 c b)))
	40.2b	(/.f64 (sqrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (/.f64 3 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b)) a)))
	49.6b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) b)) 3) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -3))) b) b)) a))
	45.4b	(/.f64 (.f64 -2 b) (.f64 3 a))
	36.5b	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))) (.f64 3 a))
	40.2b	(.f64 1/6 (/.f64 (.f64 -3 c) b))

Compiler

Compiled 4544 to 2665 computations (41.4% saved)

regimes5.6s (51.7%)

Accuracy

Total 4.5b remaining (42.5%)

Threshold costs 0b (0%)

Counts

195 → 3

Compiler

Compiled 22753 to 16420 computations (27.8% saved)

bsearch76.0ms (0.7%)

Steps

Iters	Range		Point
9	7.887287202447545e-118	2.413147661260739e-112	3.0226493936156176e-114
10	-4.2754358006107786e+150	-9.919316662771207e+140	-1.7974151351567604e+142

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
9×	`+-commutative_binary64`
8×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	60
1	45	58
2	67	58
3	80	58
4	89	58
5	92	58
6	90	58

end1.0ms (0%)

Compiler: Compiled 42 to 29 computations (31% saved)

sample1.8s (16.7%)

Algorithm

1×

intervals

Results

389.0ms	5222×	body	128	valid
383.0ms	1147×	body	2048	valid
186.0ms	681×	body	1024	valid
173.0ms	423×	body	4096	valid
71.0ms	366×	body	512	valid
48.0ms	667×	body	128	nan
27.0ms	374×	body	128	invalid
22.0ms	161×	body	256	valid

Compiler

Compiled 342 to 244 computations (28.7% saved)

Details

analyze621.0ms (5.7%)

sample135.0ms (1.2%)

simplify362.0ms (3.3%)

prune4.0ms (0%)

localize10.0ms (0.1%)

series215.0ms (2%)

rewrite30.0ms (0.3%)

simplify123.0ms (1.1%)

prune171.0ms (1.6%)

localize13.0ms (0.1%)

series497.0ms (4.6%)

rewrite53.0ms (0.5%)

simplify186.0ms (1.7%)

prune353.0ms (3.3%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite5.0ms (0%)

simplify98.0ms (0.9%)

prune160.0ms (1.5%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite5.0ms (0%)

simplify139.0ms (1.3%)

prune136.0ms (1.3%)

regimes5.6s (51.7%)

bsearch76.0ms (0.7%)

simplify5.0ms (0%)

end1.0ms (0%)

sample1.8s (16.7%)

Profiling