Details

analyze234.0ms

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

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	29×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

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: 0.0b

Counts

2 → 2

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))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify104.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5102	239

prune12.0ms

Filtered

15 candidates to 26 candidates (-73.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0b

Counts

28 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

3.3b	(-.f64 (.f64 d2 d2) (.f64 d3 d3))
10.2b	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
18.3b	(/.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))

series189.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))
62.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
100.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))

simplify79.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4993	1099
1	4993	1099

prune36.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	73	3	76

Merged error: 0b

Counts

76 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (+.f64 d2 d3) (sqrt.f64 d1))
0.2b	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d2 d3) (sqrt.f64 d1)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
10×	`associate-l_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-r_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-*l/_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`distribute-lft-out_binary64`

Counts

2 → 48

Calls

2 calls:

7.0ms	(*.f64 (+.f64 d2 d3) (sqrt.f64 d1))
10.0ms	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d2 d3) (sqrt.f64 d1)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(*.f64 (+.f64 d2 d3) (sqrt.f64 d1))
46.0ms	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d2 d3) (sqrt.f64 d1)))

simplify127.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4928	628
1	4928	628

prune23.0ms

Filtered

38 candidates to 54 candidates (-42.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	54	3	57

Merged error: 0b

Counts

57 → 3

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample383.0ms

Algorithm

intervals

Results

193.0ms	8000×	body	80	valid
18.0ms	651×	body	80	invalid

Details

analyze234.0ms

sample14.0ms

simplify12.0ms

prune3.0ms

localize4.0ms

rewrite7.0ms

series23.0ms

simplify104.0ms

prune12.0ms

localize9.0ms

rewrite24.0ms

series189.0ms

simplify79.0ms

prune36.0ms

localize7.0ms

rewrite19.0ms

series86.0ms

simplify127.0ms

prune23.0ms

regimes25.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample383.0ms

Profiling