Details

analyze429.0ms (6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 33 to 24 computations (27.3% saved)

sample49.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	123×	body	256	valid
8.0ms	290×	pre	128	true
7.0ms	53×	body	512	valid
4.0ms	80×	body	128	valid
1.0ms	34×	body	128	nan

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify326.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

904×	`div-sub_binary64`
743×	`associate-/l*_binary64`
567×	`times-frac_binary64`
521×	`associate-/l/_binary64`
427×	`associate-/r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	29	24
2	62	24
3	125	24
4	175	24
5	284	24
6	456	24
7	759	24
8	1186	24
9	1635	24
10	1913	24
11	1868	24
12	1916	24
13	1985	24
14	2029	24
15	1597	24
16	1589	24
17	1581	24
18	1585	24
19	1587	24
20	1587	24
21	1801	24
22	1901	24
23	1835	24
24	1843	24
25	1865	24
26	1877	24
27	1883	24
28	1883	24
29	1927	24
30	1983	24
31	1935	24
32	1935	24
33	1746	24

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

52.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	52.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))

Compiler

Compiled 57 to 39 computations (31.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.2b	(.f64 (.f64 3 a) c)
25.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite357.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

49.7b

Rules

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

Counts

4 → 77

Calls

4 calls:

219.0ms	(.f64 (.f64 3 a) c)
12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 1868 to 1088 computations (41.8% saved)

series188.0ms (2.6%)

Error

0.4b

Counts

4 → 60

Calls

4 calls:

63.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
49.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
37.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
16.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2276 to 1674 computations (26.4% saved)

simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-/l*_binary64`
244×	`distribute-rgt-in_binary64`
224×	`distribute-rgt-neg-in_binary64`
214×	`distribute-lft-in_binary64`
205×	`distribute-lft-neg-in_binary64`

Counts

137 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	3206
1	575	2948
2	2075	2923
3	5261	2923

prune75.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	99	8	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	8	108

Error

0.3b

Counts

108 → 8

Alt Table

Status	Error	Program
▶	1.5b	(-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (+.f64 (.f64 3/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))) (.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))) (.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
	52.5b	(/.f64 (-.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) 3))) b) (.f64 3 a))
	52.4b	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 b b)) (.f64 (.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))))
	52.4b	(/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) 3) (pow.f64 b 3)) (.f64 (.f64 3 a) (+.f64 (.f64 b (+.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))) b)) (.f64 a (*.f64 c -3)))))
	1.9b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
	52.5b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) (.f64 3 a)) (/.f64 b (*.f64 3 a)))
	52.4b	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b))) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b))) (.f64 3 a))
	52.2b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))

Compiler

Compiled 2082 to 1200 computations (42.4% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite349.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

88×	`add-exp-log_binary64`
46×	`prod-exp_binary64`
45×	`add-sqr-sqrt_binary64`
35×	`associate-r_binary64`
34×	`add-cbrt-cube_binary64`

Counts

4 → 173

Calls

4 calls:

16.0ms	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
10.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 7262 to 4552 computations (37.3% saved)

series180.0ms (2.5%)

Error

0.3b

Counts

4 → 30

Calls

4 calls:

58.0ms	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
53.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
32.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
31.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3018 to 2244 computations (25.6% saved)

simplify143.0ms (2%)

Algorithm

1×	egg-herbie

Rules

507×	`associate-/r/_binary64`
412×	`associate-l_binary64`
346×	`associate-r_binary64`
239×	`times-frac_binary64`
219×	`log-div_binary64`

Counts

203 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	245	3230
1	520	2836
2	2801	2765
3	4777	2765
4	4988	2765

prune132.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	157	8	165

Error

0.3b

Counts

165 → 8

Alt Table

Status	Error	Program
✓	1.5b	(-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (+.f64 (.f64 3/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))) (.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))) (.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
	52.5b	(/.f64 (-.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) 3))) b) (.f64 3 a))
	52.4b	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 b b)) (.f64 (.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))))
	52.4b	(/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) 3) (pow.f64 b 3)) (.f64 (.f64 3 a) (+.f64 (.f64 b (+.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))) b)) (.f64 a (*.f64 c -3)))))
▶	1.9b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
	52.5b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) (.f64 3 a)) (/.f64 b (*.f64 3 a)))
	52.4b	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b))) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b))) (.f64 3 a))
	52.2b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))

Compiler

Compiled 3434 to 2135 computations (37.8% saved)

localize33.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.4b	(.f64 (.f64 a c) (*.f64 a c))
0.6b	(pow.f64 (*.f64 a c) 3)

rewrite349.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

83×	`add-exp-log_binary64`
46×	`pow1_binary64`
37×	`prod-exp_binary64`
32×	`div-exp_binary64`
30×	`pow-exp_binary64`

Counts

4 → 142

Calls

4 calls:

30.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 7657 to 4555 computations (40.5% saved)

series230.0ms (3.2%)

Error

0.3b

Counts

4 → 42

Calls

4 calls:

93.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
70.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
29.0ms	(.f64 (.f64 a c) (*.f64 a c))
28.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 3251 to 2320 computations (28.6% saved)

simplify182.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

448×	`unswap-sqr_binary64`
320×	`log-prod_binary64`
305×	`associate-r_binary64`
288×	`associate-l_binary64`
161×	`associate-/l*_binary64`

Counts

184 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	5497
1	725	4511
2	3311	4481
3	4798	4481
4	5054	4481

prune164.0ms (2.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	154	3	157
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	154	11	165

Error

0.3b

Counts

165 → 11

Alt Table

Status	Error	Program
✓	1.5b	(-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (+.f64 (.f64 3/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))) (.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))) (.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
	52.5b	(/.f64 (-.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) 3))) b) (.f64 3 a))
	52.4b	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 b b)) (.f64 (.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))))
	52.4b	(/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) 3) (pow.f64 b 3)) (.f64 (.f64 3 a) (+.f64 (.f64 b (+.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))) b)) (.f64 a (*.f64 c -3)))))
	2.8b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)) 405/128))) (.f64 a 3))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)) 405/128))) (.f64 a 3)))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)) 405/128))) (*.f64 a 3))))
✓	1.9b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
	52.5b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) (.f64 3 a)) (/.f64 b (*.f64 3 a)))
▶	1.7b	(-.f64 (.f64 -1/2 (/.f64 (/.f64 (.f64 a c) b) a)) (/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)) 405/128)) (*.f64 a 3)))
	52.4b	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b))) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b))) (.f64 3 a))
	52.2b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
	1.9b	(/.f64 (-.f64 (.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (.f64 -3/2 (/.f64 (.f64 a c) b))) (.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)))) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)))))) (.f64 (.f64 a 3) (+.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)) 405/128)))))

Compiler

Compiled 5316 to 3275 computations (38.4% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)) 405/128)) (*.f64 a 3))
0.4b	(pow.f64 (*.f64 a c) 2)
0.6b	(pow.f64 (*.f64 a c) 3)
0.8b	(pow.f64 (*.f64 a c) 4)

rewrite266.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

18×	`add-exp-log_binary64`
13×	`pow1_binary64`
12×	`add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`

Counts

4 → 83

Calls

4 calls:

25.0ms	(/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)) 405/128)) (*.f64 a 3))
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 2)
4.0ms	(pow.f64 (*.f64 a c) 4)

Compiler

Compiled 4926 to 3042 computations (38.2% saved)

series253.0ms (3.5%)

Error

0.3b

Counts

4 → 35

Calls

4 calls:

151.0ms	(/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)) 405/128)) (*.f64 a 3))
30.0ms	(pow.f64 (*.f64 a c) 3)
28.0ms	(pow.f64 (*.f64 a c) 4)
28.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 3222 to 2286 computations (29.1% saved)

simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

898×	`times-frac_binary64`
423×	`distribute-rgt-in_binary64`
195×	`unswap-sqr_binary64`
162×	`associate-r_binary64`
160×	`associate-l_binary64`

Counts

118 → 86

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	3292
1	450	2893
2	1875	2858
3	5139	2858

prune103.0ms (1.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	86	11	97

Error

0.3b

Counts

97 → 11

Alt Table

Status	Error	Program
	1.5b	(-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (+.f64 (.f64 3/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))) (.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))) (.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
	52.5b	(/.f64 (-.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) 3))) b) (.f64 3 a))
	52.4b	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 b b)) (.f64 (.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))))
	52.4b	(/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) 3) (pow.f64 b 3)) (.f64 (.f64 3 a) (+.f64 (.f64 b (+.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))) b)) (.f64 a (*.f64 c -3)))))
	2.8b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)) 405/128))) (.f64 a 3))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)) 405/128))) (.f64 a 3)))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)) 405/128))) (*.f64 a 3))))
	1.9b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
	52.5b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) (.f64 3 a)) (/.f64 b (*.f64 3 a)))
	1.7b	(-.f64 (.f64 -1/2 (/.f64 (/.f64 (.f64 a c) b) a)) (/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)) 405/128)) (*.f64 a 3)))
	52.4b	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b))) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b))) (.f64 3 a))
	52.2b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
	1.9b	(/.f64 (-.f64 (.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (.f64 -3/2 (/.f64 (.f64 a c) b))) (.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)))) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)))))) (.f64 (.f64 a 3) (+.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)) 405/128)))))

Compiler

Compiled 2546 to 1573 computations (38.2% saved)

regimes1.2s (16.6%)

Accuracy

Total 1.3b remaining (88.1%)

Threshold costs 0b (0%)

Compiler

Compiled 28655 to 18781 computations (34.5% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
24×	`+-commutative_binary64`
21×	`sub-neg_binary64`
21×	`neg-sub0_binary64`
21×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	69
1	53	67
2	72	67
3	99	67
4	139	67
5	164	67
6	194	67
7	211	67
8	221	67
9	225	67
10	221	67

end2.0ms (0%)

Compiler: Compiled 48 to 37 computations (22.9% saved)

sample1.9s (26.3%)

Algorithm

1×

intervals

Results

361.0ms	3804×	body	256	valid
250.0ms	8765×	pre	128	true
209.0ms	1481×	body	512	valid
140.0ms	2715×	body	128	valid
37.0ms	765×	body	128	nan

Compiler

Compiled 750 to 492 computations (34.4% saved)

Iter	Nodes	Cost
0	36	69
1	53	67
2	72	67
3	99	67
4	139	67
5	164	67
6	194	67
7	211	67
8	221	67
9	225	67
10	221	67

Iter	Nodes	Cost
0	36	69
1	53	67
2	72	67
3	99	67
4	139	67
5	164	67
6	194	67
7	211	67
8	221	67
9	225	67
10	221	67

Details

analyze429.0ms (6%)

sample49.0ms (0.7%)

simplify326.0ms (4.5%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite357.0ms (5%)

series188.0ms (2.6%)

simplify104.0ms (1.5%)

prune75.0ms (1%)

localize29.0ms (0.4%)

rewrite349.0ms (4.9%)

series180.0ms (2.5%)

simplify143.0ms (2%)

prune132.0ms (1.8%)

localize33.0ms (0.5%)

rewrite349.0ms (4.9%)

series230.0ms (3.2%)

simplify182.0ms (2.5%)

prune164.0ms (2.3%)

localize31.0ms (0.4%)

rewrite266.0ms (3.7%)

series253.0ms (3.5%)

simplify96.0ms (1.3%)

prune103.0ms (1.4%)

regimes1.2s (16.6%)

simplify8.0ms (0.1%)

end2.0ms (0%)

sample1.9s (26.3%)

Profiling

Iter	Nodes	Cost
0	36	69
1	53	67
2	72	67
3	99	67
4	139	67
5	164	67
6	194	67
7	211	67
8	221	67
9	225	67
10	221	67