Details

analyze507.0ms (6.3%)

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)

sample64.0ms (0.8%)

Algorithm

1×

intervals

Results

20.0ms	136×	body	256	valid
9.0ms	279×	pre	128	true
7.0ms	37×	body	512	valid
6.0ms	83×	body	128	valid
1.0ms	23×	body	128	nan

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify330.0ms (4.1%)

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

prune3.0ms (0%)

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

54.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	54.2b	(/.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)

localize10.0ms (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))
0.3b	(.f64 (.f64 3 a) c)
28.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite125.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

51.2b

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:

10.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
7.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
4.0ms	(.f64 (.f64 3 a) c)
3.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 1868 to 1088 computations (41.8% saved)

series158.0ms (2%)

Error

0.3b

Counts

4 → 60

Calls

4 calls:

53.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
41.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
33.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
14.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2276 to 1674 computations (26.4% saved)

simplify102.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

695×	`associate-/l*_binary64`
251×	`distribute-rgt-in_binary64`
228×	`distribute-rgt-neg-in_binary64`
222×	`distribute-lft-in_binary64`
205×	`distribute-lft-neg-in_binary64`

Counts

137 → 110

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	3206
1	584	2948
2	2128	2923
3	5331	2923

prune58.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	102	8	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	8	111

Error

0.3b

Counts

111 → 8

Alt Table

Status	Error	Program
	54.2b	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b))) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b))) (.f64 3 a))
	1.8b	(-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))) (.f64 9/16 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
	1.6b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
	54.1b	(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 (.f64 c c) 9))) (+.f64 (.f64 3 (.f64 c a)) (.f64 b b)))) b) (.f64 3 a))
▶	1.1b	(-.f64 (-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))) (.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)))) (.f64 9/16 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
	53.9b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))))) (.f64 3 a))
	54.3b	(/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) 3) (pow.f64 b 3)) (+.f64 (.f64 b (+.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) b)) (.f64 c (.f64 a -3)))) (.f64 3 a))
	3.2b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (*.f64 3 a))

Compiler

Compiled 2092 to 1209 computations (42.2% saved)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite323.0ms (4%)

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:

10.0ms	(.f64 3/8 (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3)))
10.0ms	(/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
7.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 7262 to 4552 computations (37.3% saved)

series164.0ms (2%)

Error

0.3b

Counts

4 → 30

Calls

4 calls:

55.0ms	(.f64 3/8 (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3)))
48.0ms	(/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))
28.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
27.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 3018 to 2244 computations (25.6% saved)

simplify115.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

689×	`associate-/r/_binary64`
394×	`associate-l_binary64`
351×	`associate-r_binary64`
311×	`times-frac_binary64`
236×	`log-prod_binary64`

Counts

203 → 177

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	3230
1	543	2836
2	2846	2765
3	5170	2765

prune161.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	177	8	185

Error

0.3b

Counts

185 → 8

Alt Table

Status	Error	Program
	54.2b	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b))) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b))) (.f64 3 a))
	1.8b	(-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))) (.f64 9/16 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
▶	1.6b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
	54.1b	(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 (.f64 c c) 9))) (+.f64 (.f64 3 (.f64 c a)) (.f64 b b)))) b) (.f64 3 a))
✓	1.1b	(-.f64 (-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))) (.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)))) (.f64 9/16 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
	53.9b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))))) (.f64 3 a))
	54.3b	(/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) 3) (pow.f64 b 3)) (+.f64 (.f64 b (+.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) b)) (.f64 c (.f64 a -3)))) (.f64 3 a))
	3.2b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (*.f64 3 a))

Compiler

Compiled 4392 to 2732 computations (37.8% saved)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
0.5b	(.f64 (.f64 c a) (*.f64 c a))
0.8b	(pow.f64 (*.f64 c a) 3)

rewrite418.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

59×	`times-frac_binary64`
46×	`pow1_binary64`
44×	`add-exp-log_binary64`
36×	`unpow-prod-down_binary64`
33×	`*-un-lft-identity_binary64`

Counts

4 → 179

Calls

4 calls:

33.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
10.0ms	(/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5))
6.0ms	(.f64 (.f64 c a) (*.f64 c a))
3.0ms	(pow.f64 (*.f64 c a) 3)

Compiler

Compiled 10408 to 6214 computations (40.3% saved)

series210.0ms (2.6%)

Error

0.3b

Counts

4 → 42

Calls

4 calls:

89.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
62.0ms	(/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5))
26.0ms	(.f64 (.f64 c a) (*.f64 c a))
25.0ms	(pow.f64 (*.f64 c a) 3)

Compiler

Compiled 3236 to 2344 computations (27.6% saved)

simplify205.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

351×	`associate-/l*_binary64`
319×	`associate-r_binary64`
282×	`associate-l_binary64`
281×	`times-frac_binary64`
173×	`log-div_binary64`

Counts

221 → 176

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	6481
1	766	5605
2	4111	5459
3	4906	5459
4	4987	5459

prune194.0ms (2.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	170	6	176
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	173	11	184

Error

0.3b

Counts

184 → 11

Alt Table

Status	Error	Program
✓	1.1b	(-.f64 (-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))) (.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)))) (.f64 9/16 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
▶	1.4b	(/.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) 3) a)
	54.3b	(/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) 3) (pow.f64 b 3)) (+.f64 (.f64 b (+.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) b)) (.f64 c (.f64 a -3)))) (.f64 3 a))
	1.5b	(/.f64 (neg.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7))))))) (*.f64 a -3))
	54.1b	(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 (.f64 c c) 9))) (+.f64 (.f64 3 (.f64 c a)) (.f64 b b)))) b) (.f64 3 a))
	54.2b	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b))) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b))) (.f64 3 a))
	53.9b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))))) (.f64 3 a))
	2.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (.f64 3 a))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (.f64 3 a)))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (*.f64 3 a))))
	1.9b	(/.f64 (-.f64 (.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -3/2 (/.f64 (.f64 c a) b))) (.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))))) (.f64 (.f64 3 a) (+.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7))))))))
	1.6b	(/.f64 (-.f64 (.f64 (.f64 -3/2 (.f64 c a)) (-.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (.f64 b (-.f64 (.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (.f64 (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))))) (.f64 (.f64 3 a) (.f64 b (-.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7))))))))
	4.2b	(/.f64 (-.f64 (.f64 (.f64 -3/2 (.f64 c a)) (+.f64 (.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (-.f64 (.f64 (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))))) (.f64 b (+.f64 (pow.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) 3) (pow.f64 (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))) 3)))) (.f64 (.f64 3 a) (.f64 b (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 81/64)) (.f64 (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))) (.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) -9/8)))))))

Compiler

Compiled 6864 to 4298 computations (37.4% saved)

localize94.0ms (1.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5))
0.5b	(pow.f64 (*.f64 c a) 2)
0.8b	(pow.f64 (*.f64 c a) 3)
0.9b	(pow.f64 (*.f64 c a) 4)

rewrite405.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

56×	`times-frac_binary64`
38×	`unpow-prod-down_binary64`
33×	`add-exp-log_binary64`
33×	`*-un-lft-identity_binary64`
33×	`add-sqr-sqrt_binary64`

Counts

4 → 151

Calls

4 calls:

6.0ms	(/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5))
4.0ms	(pow.f64 (*.f64 c a) 4)
3.0ms	(pow.f64 (*.f64 c a) 3)
3.0ms	(pow.f64 (*.f64 c a) 2)

Compiler

Compiled 7136 to 4422 computations (38% saved)

series147.0ms (1.8%)

Error

0.3b

Counts

4 → 27

Calls

4 calls:

61.0ms	(/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5))
26.0ms	(pow.f64 (*.f64 c a) 4)
26.0ms	(pow.f64 (*.f64 c a) 3)
24.0ms	(pow.f64 (*.f64 c a) 2)

Compiler

Compiled 2958 to 2154 computations (27.2% saved)

simplify130.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

688×	`associate-/r/_binary64`
438×	`log-prod_binary64`
400×	`cube-prod_binary64`
302×	`exp-prod_binary64`
296×	`*-commutative_binary64`

Counts

178 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	2821
1	330	2728
2	1649	2586
3	3698	2586
4	5223	2586

prune148.0ms (1.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	131	11	142

Error

0.3b

Counts

142 → 11

Alt Table

Status	Error	Program
	1.1b	(-.f64 (-.f64 (-.f64 (.f64 -1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))) (.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)))) (.f64 9/16 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
	1.4b	(/.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) 3) a)
	54.3b	(/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) 3) (pow.f64 b 3)) (+.f64 (.f64 b (+.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) b)) (.f64 c (.f64 a -3)))) (.f64 3 a))
	1.5b	(/.f64 (neg.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7))))))) (*.f64 a -3))
	54.1b	(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 (.f64 c c) 9))) (+.f64 (.f64 3 (.f64 c a)) (.f64 b b)))) b) (.f64 3 a))
	54.2b	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b))) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))) b))) (.f64 3 a))
	53.9b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a)))))) (.f64 3 a))
	2.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (.f64 3 a))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (.f64 3 a)))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (*.f64 3 a))))
	1.9b	(/.f64 (-.f64 (.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -3/2 (/.f64 (.f64 c a) b))) (.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))))) (.f64 (.f64 3 a) (+.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7))))))))
	1.6b	(/.f64 (-.f64 (.f64 (.f64 -3/2 (.f64 c a)) (-.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (.f64 b (-.f64 (.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (.f64 (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))))) (.f64 (.f64 3 a) (.f64 b (-.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7))))))))
	4.2b	(/.f64 (-.f64 (.f64 (.f64 -3/2 (.f64 c a)) (+.f64 (.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (-.f64 (.f64 (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))))) (.f64 b (+.f64 (pow.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) 3) (pow.f64 (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))) 3)))) (.f64 (.f64 3 a) (.f64 b (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) 81/64)) (.f64 (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))) (.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) -9/8)))))))

Compiler

Compiled 3227 to 2016 computations (37.5% saved)

regimes1.5s (18.8%)

Accuracy

Total 1.2b remaining (86.9%)

Threshold costs 0b (0%)

Compiler

Compiled 41112 to 27365 computations (33.4% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
19×	`+-commutative_binary64`
19×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	67
1	60	67
2	80	67
3	98	67
4	131	67
5	159	67
6	176	67
7	184	67
8	185	67
9	182	67

end1.0ms (0%)

Compiler: Compiled 48 to 35 computations (27.1% saved)

sample2.4s (29.9%)

Algorithm

1×

intervals

Results

539.0ms	3782×	body	256	valid
320.0ms	8774×	pre	128	true
305.0ms	1447×	body	512	valid
190.0ms	2771×	body	128	valid
55.0ms	774×	body	128	nan

Compiler

Compiled 1122 to 737 computations (34.3% saved)

Details

analyze507.0ms (6.3%)

sample64.0ms (0.8%)

simplify330.0ms (4.1%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite125.0ms (1.5%)

series158.0ms (2%)

simplify102.0ms (1.3%)

prune58.0ms (0.7%)

localize36.0ms (0.4%)

rewrite323.0ms (4%)

series164.0ms (2%)

simplify115.0ms (1.4%)

prune161.0ms (2%)

localize35.0ms (0.4%)

rewrite418.0ms (5.2%)

series210.0ms (2.6%)

simplify205.0ms (2.5%)

prune194.0ms (2.4%)

localize94.0ms (1.2%)

rewrite405.0ms (5%)

series147.0ms (1.8%)

simplify130.0ms (1.6%)

prune148.0ms (1.8%)

regimes1.5s (18.8%)

simplify9.0ms (0.1%)

end1.0ms (0%)

sample2.4s (29.9%)

Profiling