Details

analyze1.9s

Algorithm

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
31.2%	68.7%	0.1%	7
34.3%	65.6%	0.1%	8
37.5%	59.3%	3.2%	9
42.9%	53.5%	3.6%	10
44.5%	50%	5.6%	11
47.8%	45.8%	6.4%	12
48.7%	43.7%	7.6%	13
50.5%	41.3%	8.2%	14

sample132.0ms

Algorithm

intervals

Results

50.0ms	231×	body	80	valid
45.0ms	193×	body	80	invalid
8.0ms	9×	body	640	valid
4.0ms	4×	body	1280	valid
4.0ms	6×	body	320	valid
3.0ms	6×	body	160	valid

simplify566.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5171	157

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.5b

Counts

2 → 2

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x1 x1) -6)
0.3b	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)))
3.4b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
3.9b	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
22×	`associate-l_binary64`
17×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64`
8×	`add-log-exp_binary64`
6×	`associate-r_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`
3×	`unswap-sqr_binary64`
2×	`associate-r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `frac-times_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `associate-*l/_binary64` `sum-log_binary64`

Counts

4 → 93

Calls

4 calls:

12.0ms	(.f64 (.f64 x1 x1) -6)
40.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)))
18.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
46.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))

series422.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 (.f64 x1 x1) -6)
112.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)))
53.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
234.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))

simplify87.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4995	5729
1	4995	5729

prune555.0ms

Filtered

80 candidates to 105 candidates (-31.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	94	11	105
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	96	11	107

Merged error: 0.4b

Counts

107 → 11

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x1 x1) -6)
0.2b	(.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1)))
3.4b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
3.9b	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
12×	`-un-lft-identity_binary64` `associate-r*_binary64`
11×	`pow1_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `times-frac_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `flip-+_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `associate--l-_binary64` `diff-log_binary64` `associate-*r/_binary64` `div-sub_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 80

Calls

4 calls:

6.0ms	(.f64 (.f64 x1 x1) -6)
38.0ms	(.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1)))
19.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
41.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))

series406.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(.f64 (.f64 x1 x1) -6)
115.0ms	(.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1)))
52.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
218.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))

simplify74.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4949	4571
1	4949	4571

prune390.0ms

Filtered

67 candidates to 92 candidates (-37.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	94	9	103

Merged error: 0.4b

Counts

103 → 9

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x1 x1) -6)
0.3b	(.f64 (.f64 x1 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1)) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)) (+.f64 (.f64 x1 x1) 1)))
3.4b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
3.9b	(+.f64 (.f64 (.f64 x1 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1)) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`associate-r_binary64` `add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `pow1_binary64`
12×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`add-log-exp_binary64`
6×	`pow-prod-down_binary64`
5×	`associate-*r/_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `associate-l_binary64` `difference-of-squares_binary64` `div-exp_binary64` `flip-+_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `associate--l-_binary64` `diff-log_binary64` `unswap-sqr_binary64` `div-sub_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 84

Calls

4 calls:

6.0ms	(.f64 (.f64 x1 x1) -6)
38.0ms	(.f64 (.f64 x1 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1)) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)) (+.f64 (.f64 x1 x1) 1)))
19.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
42.0ms	(+.f64 (.f64 (.f64 x1 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1)) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))

series402.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(.f64 (.f64 x1 x1) -6)
111.0ms	(.f64 (.f64 x1 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1)) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)) (+.f64 (.f64 x1 x1) 1)))
54.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
216.0ms	(+.f64 (.f64 (.f64 x1 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1)) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4)) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))

simplify77.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5241	4872

prune390.0ms

Filtered

68 candidates to 96 candidates (-41.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Merged error: 0.4b

Counts

105 → 9

localize42.0ms

Local error

Found 4 expressions with local error:

7.5b	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) (cbrt.f64 (.f64 (.f64 x1 x1) -6))) (cbrt.f64 (.f64 (.f64 x1 x1) -6))))
24.5b	(cbrt.f64 (.f64 (.f64 x1 x1) -6))
24.5b	(cbrt.f64 (.f64 (.f64 x1 x1) -6))
24.5b	(cbrt.f64 (.f64 (.f64 x1 x1) -6))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
3×	`pow1/3_binary64` `cbrt-prod_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 38

Calls

4 calls:

43.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) (cbrt.f64 (.f64 (.f64 x1 x1) -6))) (cbrt.f64 (.f64 (.f64 x1 x1) -6))))
4.0ms	(cbrt.f64 (.f64 (.f64 x1 x1) -6))
4.0ms	(cbrt.f64 (.f64 (.f64 x1 x1) -6))
5.0ms	(cbrt.f64 (.f64 (.f64 x1 x1) -6))

series575.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) (cbrt.f64 (.f64 (.f64 x1 x1) -6))) (cbrt.f64 (.f64 (.f64 x1 x1) -6))))
110.0ms	(cbrt.f64 (.f64 (.f64 x1 x1) -6))
112.0ms	(cbrt.f64 (.f64 (.f64 x1 x1) -6))
113.0ms	(cbrt.f64 (.f64 (.f64 x1 x1) -6))

simplify119.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4937	1603
1	4937	1603

prune163.0ms

Filtered

36 candidates to 50 candidates (-38.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	49	10	59

Merged error: 0.4b

Counts

59 → 10

regimes206.0ms

Accuracy

0% (0.1b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	101	154
1	101	154

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	6961×	body	80	valid
1.2s	5621×	body	80	invalid
317.0ms	376×	body	640	valid
197.0ms	305×	body	320	valid
179.0ms	166×	body	1280	valid
82.0ms	192×	body	160	valid

Details

analyze1.9s

sample132.0ms

simplify566.0ms

prune15.0ms

localize41.0ms

rewrite121.0ms

series422.0ms

simplify87.0ms

prune555.0ms

localize39.0ms

rewrite106.0ms

series406.0ms

simplify74.0ms

prune390.0ms

localize39.0ms

rewrite108.0ms

series402.0ms

simplify77.0ms

prune390.0ms

localize42.0ms

rewrite58.0ms

series575.0ms

simplify119.0ms

prune163.0ms

regimes206.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample3.7s

Profiling