Details

analyze131.0ms

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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
25%	32.8%	42.2%	8
25%	23.4%	51.6%	9
28.1%	18%	54%	10
31.6%	11.5%	56.9%	11
33.4%	8.9%	57.8%	12
35.2%	5.7%	59.1%	13
36.1%	4.4%	59.4%	14

sample25.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	12×	body	80	invalid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4868	10
1	4868	10

prune7.0ms

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 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
9×	`difference-of-squares_binary64`
8×	`unpow-prod-down_binary64`
6×	`sqr-pow_binary64`
5×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
2×	`distribute-lft-out--_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

1 → 22

Calls

1 calls:

7.0ms

(-.f64 (pow.f64 x 4) (pow.f64 y 4))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(-.f64 (pow.f64 x 4) (pow.f64 y 4))

simplify70.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4891	414
1	4891	414

prune86.0ms

Filtered

16 candidates to 25 candidates (-56.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Merged error: 0b

Counts

26 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 y y))
0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.4b	(.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64` `flip-+_binary64` `frac-times_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`associate-r/_binary64` `difference-of-squares_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 52

Calls

3 calls:

4.0ms	(-.f64 (.f64 x x) (.f64 y y))
6.0ms	(+.f64 (.f64 x x) (.f64 y y))
17.0ms	(.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))

series116.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(-.f64 (.f64 x x) (.f64 y y))
23.0ms	(+.f64 (.f64 x x) (.f64 y y))
68.0ms	(.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))

simplify96.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5189	1117

prune195.0ms

Filtered

46 candidates to 61 candidates (-32.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	62	3	65

Merged error: 0b

Counts

65 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.0b	(+.f64 (.f64 x x) (.f64 y y))
1.6b	(.f64 (+.f64 (.f64 x x) (.f64 y y)) (neg.f64 (.f64 y y)))
2.5b	(.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 y y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`associate-r_binary64`
8×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `flip-+_binary64`
2×	`associate-r/_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `associate-l/_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `distribute-rgt-neg-in_binary64`

Counts

4 → 69

Calls

4 calls:

4.0ms	(+.f64 (.f64 x x) (.f64 y y))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))
8.0ms	(.f64 (+.f64 (.f64 x x) (.f64 y y)) (neg.f64 (.f64 y y)))
9.0ms	(.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 y y)))

series141.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+.f64 (.f64 x x) (.f64 y y))
23.0ms	(+.f64 (.f64 x x) (.f64 y y))
63.0ms	(.f64 (+.f64 (.f64 x x) (.f64 y y)) (neg.f64 (.f64 y y)))
35.0ms	(.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 y y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4974	1372
1	4974	1372

prune255.0ms

Filtered

55 candidates to 81 candidates (-47.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	81	3	84

Merged error: 0b

Counts

84 → 3

localize17.0ms

Local error

Found 2 expressions with local error:

1.2b	(-.f64 (pow.f64 x 8) (pow.f64 y 8))
42.1b	(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (+.f64 (pow.f64 x 4) (pow.f64 y 4)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

111×	`*-un-lft-identity_binary64`
107×	`add-sqr-sqrt_binary64`
86×	`unpow-prod-down_binary64`
70×	`times-frac_binary64`
63×	`difference-of-squares_binary64`
42×	`sqr-pow_binary64`
30×	`distribute-lft-out_binary64`
23×	`add-cube-cbrt_binary64`
14×	`associate-/l*_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

2 → 128

Calls

2 calls:

7.0ms	(-.f64 (pow.f64 x 8) (pow.f64 y 8))
17.0ms	(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (+.f64 (pow.f64 x 4) (pow.f64 y 4)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(-.f64 (pow.f64 x 8) (pow.f64 y 8))
90.0ms	(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (+.f64 (pow.f64 x 4) (pow.f64 y 4)))

simplify91.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4978	4146
1	4978	4146

prune320.0ms

Filtered

86 candidates to 134 candidates (-55.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	134	3	137

Merged error: 0b

Counts

137 → 3

regimes304.0ms

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	17	10
1	17	10

end0.0ms

sample586.0ms

Algorithm

intervals

Results

376.0ms	8000×	body	80	valid
17.0ms	322×	body	80	invalid

Details

analyze131.0ms

sample25.0ms

simplify105.0ms

prune7.0ms

localize8.0ms

rewrite8.0ms

series41.0ms

simplify70.0ms

prune86.0ms

localize12.0ms

rewrite28.0ms

series116.0ms

simplify96.0ms

prune195.0ms

localize15.0ms

rewrite33.0ms

series141.0ms

simplify92.0ms

prune255.0ms

localize17.0ms

rewrite34.0ms

series164.0ms

simplify91.0ms

prune320.0ms

regimes304.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample586.0ms

Profiling