Details

analyze287.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	237×	body	80	valid
1.0ms	6×	body	640	valid
1.0ms	7×	body	320	valid
1.0ms	18×	body	80	invalid
0.0ms	3×	body	1280	valid
0.0ms	3×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune3.0ms

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 2 expressions with local error:

0.0b	(+.f64 (.f64 d1 3) (.f64 d1 d2))
0.0b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
3×	`distribute-lft-out_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+l+_binary64`

Counts

2 → 26

Calls

2 calls:

4.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))
7.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))

series55.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))
30.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))

simplify65.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5244	407

prune28.0ms

Filtered

23 candidates to 32 candidates (-39.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 3 d2))) (cbrt.f64 (*.f64 d1 (+.f64 3 d2))))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 3 d2))) (cbrt.f64 (*.f64 d1 (+.f64 3 d2))))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 3 d2))) (cbrt.f64 (*.f64 d1 (+.f64 3 d2))))
74.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
79.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
77.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))

simplify119.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5700	1456

prune102.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	83	5	88

Merged error: 0.0b

Counts

88 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

4.8b	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
4.8b	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
9.6b	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))
9.6b	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
8×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-l_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `cbrt-prod_binary64` `*-commutative_binary64`

Counts

4 → 68

Calls

4 calls:

6.0ms	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
6.0ms	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
4.0ms	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))
4.0ms	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))

series385.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
42.0ms	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
148.0ms	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))
152.0ms	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))

simplify101.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5353	1112

prune117.0ms

Filtered

60 candidates to 80 candidates (-33.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	79	6	85

Merged error: 0.0b

Counts

85 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

3.1b	(/.f64 (.f64 (cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2)))) (.f64 (cbrt.f64 d1) (cbrt.f64 (-.f64 9 (.f64 d2 d2))))) (.f64 (cbrt.f64 (-.f64 3 d2)) (cbrt.f64 (-.f64 3 d2))))
4.8b	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
9.6b	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))
12.3b	(cbrt.f64 (-.f64 9 (*.f64 d2 d2)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div_binary64`
27×	`add-exp-log_binary64`
20×	`associate-*r/_binary64`
15×	`flip3--_binary64` `flip--_binary64`
13×	`add-cbrt-cube_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`associate-/l/_binary64` `associate-/r/_binary64` `frac-times_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`cbrt-prod_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64` `associate-*l/_binary64`
3×	`associate-l_binary64`
2×	`sub-neg_binary64` `pow1/3_binary64` `difference-of-squares_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

21.0ms	(/.f64 (.f64 (cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2)))) (.f64 (cbrt.f64 d1) (cbrt.f64 (-.f64 9 (.f64 d2 d2))))) (.f64 (cbrt.f64 (-.f64 3 d2)) (cbrt.f64 (-.f64 3 d2))))
7.0ms	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
4.0ms	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))
3.0ms	(cbrt.f64 (-.f64 9 (*.f64 d2 d2)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(/.f64 (.f64 (cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2)))) (.f64 (cbrt.f64 d1) (cbrt.f64 (-.f64 9 (.f64 d2 d2))))) (.f64 (cbrt.f64 (-.f64 3 d2)) (cbrt.f64 (-.f64 3 d2))))
42.0ms	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
155.0ms	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))
58.0ms	(cbrt.f64 (-.f64 9 (*.f64 d2 d2)))

simplify93.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4955	2762
1	4955	2762

prune173.0ms

Filtered

80 candidates to 101 candidates (-26.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	101	6	107

Merged error: 0.0b

Counts

107 → 6

regimes66.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

end0.0ms

sample484.0ms

Algorithm

intervals

Results

232.0ms	7447×	body	80	valid
28.0ms	214×	body	640	valid
21.0ms	689×	body	80	invalid
14.0ms	165×	body	320	valid
13.0ms	99×	body	1280	valid
4.0ms	75×	body	160	valid

Details

analyze287.0ms

sample16.0ms

simplify15.0ms

prune3.0ms

localize8.0ms

rewrite12.0ms

series55.0ms

simplify65.0ms

prune28.0ms

localize11.0ms

rewrite23.0ms

series335.0ms

simplify119.0ms

prune102.0ms

localize23.0ms

rewrite23.0ms

series385.0ms

simplify101.0ms

prune117.0ms

localize28.0ms

rewrite38.0ms

series446.0ms

simplify93.0ms

prune173.0ms

regimes66.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample484.0ms

Profiling