Details

analyze255.0ms

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%	56.2%	3.3%	9
46.8%	46%	7.2%	10
58.5%	32.8%	8.7%	11
60.8%	27.9%	11.3%	12
63.8%	22.4%	13.8%	13
69.1%	16.5%	14.4%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

prune10.0ms

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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

4.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

simplify61.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5364	114

prune19.0ms

Filtered

10 candidates to 15 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Merged error: 0.0b

Counts

17 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 d3))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(*.f64 d1 (+.f64 d2 d3))

simplify77.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4889	163
1	4889	163

prune22.0ms

Filtered

14 candidates to 26 candidates (-85.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 d3))) (cbrt.f64 (*.f64 d1 (+.f64 d2 d3))))
4.4b	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))
4.4b	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))
4.4b	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))

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 d2 d3))) (cbrt.f64 (*.f64 d1 (+.f64 d2 d3))))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 d3))) (cbrt.f64 (*.f64 d1 (+.f64 d2 d3))))
32.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))
30.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))
30.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))

simplify37.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5119	779

prune70.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

2.9b	(-.f64 (.f64 d2 d2) (.f64 d3 d3))
6.9b	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
22.9b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

4.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))
7.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
11.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))

series55.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))
20.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
27.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))

simplify48.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4976	743
1	4976	743

prune51.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	73	4	77

Merged error: 0b

Counts

77 → 4

regimes208.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms

sample428.0ms

Algorithm

intervals

Results

220.0ms	8000×	body	80	valid
18.0ms	676×	body	80	invalid

Details

analyze255.0ms

sample17.0ms

simplify5.0ms

prune10.0ms

localize5.0ms

rewrite5.0ms

series9.0ms

simplify61.0ms

prune19.0ms

localize4.0ms

rewrite7.0ms

series8.0ms

simplify77.0ms

prune22.0ms

localize11.0ms

rewrite23.0ms

series135.0ms

simplify37.0ms

prune70.0ms

localize9.0ms

rewrite24.0ms

series55.0ms

simplify48.0ms

prune51.0ms

regimes208.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample428.0ms

Profiling