Details

analyze337.0ms

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
0%	99.9%	0.1%	5
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

sample18.0ms

Algorithm

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	43×	body	128	invalid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	738	15
1	738	15

prune8.0ms

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
0.0b	(/.f64 (+.f64 x 4) y)
3.4b	(*.f64 (/.f64 x y) z)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
13×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`distribute-lft-out_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l/_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `sub-div_binary64` `flip--_binary64` `flip-+_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

3 → 78

Calls

3 calls:

10.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
6.0ms	(/.f64 (+.f64 x 4) y)
8.0ms	(*.f64 (/.f64 x y) z)

series163.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
36.0ms	(/.f64 (+.f64 x 4) y)
49.0ms	(*.f64 (/.f64 x y) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5132	1156

prune80.0ms

Filtered

62 candidates to 87 candidates (-40.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	81	8	89

Merged error: 0b

Counts

89 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 z (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log_binary64`
39×	`add-cbrt-cube_binary64`
37×	`cbrt-unprod_binary64` `prod-exp_binary64`
17×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`pow1_binary64` `cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `associate-*r/_binary64` `pow1/3_binary64`
1×	`associate-r_binary64` `times-frac_binary64` `div-inv_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 82

Calls

4 calls:

19.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 z (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series524.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 z (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
164.0ms	(cbrt.f64 x)
147.0ms	(cbrt.f64 x)
164.0ms	(cbrt.f64 x)

simplify70.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5025	780

prune65.0ms

Filtered

55 candidates to 94 candidates (-70.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	95	7	102

Merged error: 0b

Counts

102 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
3.3b	(*.f64 (/.f64 x y) (-.f64 1 z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
13×	`-un-lft-identity_binary64` `associate-l*_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64`
5×	`frac-add_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `associate-*r/_binary64` `flip--_binary64` `frac-times_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `associate-+r+_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 59

Calls

2 calls:

8.0ms	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
11.0ms	(*.f64 (/.f64 x y) (-.f64 1 z))

series155.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
80.0ms	(*.f64 (/.f64 x y) (-.f64 1 z))

simplify78.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4946	1075
1	4946	1075

prune52.0ms

Filtered

49 candidates to 65 candidates (-32.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	65	7	72

Merged error: 0b

Counts

72 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 x 4) (*.f64 x z))
2.9b	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
7×	`add-log-exp_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

2 → 43

Calls

2 calls:

6.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))
8.0ms	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

series111.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))
81.0ms	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

simplify59.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5056	932

prune35.0ms

Filtered

37 candidates to 49 candidates (-32.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	49	7	56

Merged error: 0b

Counts

56 → 7

regimes52.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	42
1	78	42

end0.0ms

sample501.0ms

Algorithm

intervals

Results

274.0ms	8000×	body	128	valid
43.0ms	1216×	body	128	invalid

Details

analyze337.0ms

sample18.0ms

simplify51.0ms

prune8.0ms

localize8.0ms

rewrite31.0ms

series163.0ms

simplify65.0ms

prune80.0ms

localize19.0ms

rewrite33.0ms

series524.0ms

simplify70.0ms

prune65.0ms

localize8.0ms

rewrite25.0ms

series155.0ms

simplify78.0ms

prune52.0ms

localize7.0ms

rewrite17.0ms

series111.0ms

simplify59.0ms

prune35.0ms

regimes52.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample501.0ms

Profiling