Details

analyze298.0ms

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	302	10
1	302	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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
7×	`-un-lft-identity_binary64` `associate-l*_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64`
2×	`difference-of-squares_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

7.0ms	(*.f64 (-.f64 x 1) z)
5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

series48.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(*.f64 (-.f64 x 1) z)
27.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

simplify72.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4976	473
1	4976	473

prune22.0ms

Filtered

27 candidates to 41 candidates (-51.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0.0b

Counts

43 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

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

series57.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
28.0ms	(*.f64 x (+.f64 y z))

simplify126.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4832	470
1	4832	470

prune19.0ms

Filtered

27 candidates to 42 candidates (-55.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	42	3	45

Merged error: 0b

Counts

45 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 x z)) z)
0.0b	(+.f64 (.f64 x y) (.f64 x z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
2×	`pow1_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate--l+_binary64`

Counts

2 → 27

Calls

2 calls:

7.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 x z)) z)
4.0ms	(+.f64 (.f64 x y) (.f64 x z))

series52.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 x z)) z)
28.0ms	(+.f64 (.f64 x y) (.f64 x z))

simplify80.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5017	441

prune15.0ms

Filtered

24 candidates to 33 candidates (-37.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	33	3	36

Merged error: 0b

Counts

36 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (-.f64 y z)) z)
2.4b	(-.f64 (.f64 y y) (.f64 z z))
7.8b	(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
17.7b	(/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (-.f64 y z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`pow1_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `difference-of-squares_binary64` `times-frac_binary64` `flip--_binary64`
4×	`sub-neg_binary64` `associate-r_binary64` `associate-*r/_binary64`
3×	`associate-l_binary64` `distribute-lft-out--_binary64`
2×	`associate-/l/_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_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

4 → 77

Calls

4 calls:

14.0ms	(-.f64 (/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (-.f64 y z)) z)
4.0ms	(-.f64 (.f64 y y) (.f64 z z))
7.0ms	(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
11.0ms	(/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (-.f64 y z))

series277.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(-.f64 (/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (-.f64 y z)) z)
24.0ms	(-.f64 (.f64 y y) (.f64 z z))
64.0ms	(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
94.0ms	(/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (-.f64 y z))

simplify49.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5228	1408

prune46.0ms

Filtered

63 candidates to 89 candidates (-41.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Merged error: 0b

Counts

92 → 3

regimes35.0ms

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	21	13
1	21	13

end0.0ms

sample410.0ms

Algorithm

intervals

Results

225.0ms	8000×	body	80	valid
16.0ms	631×	body	80	invalid

Details

analyze298.0ms

sample15.0ms

simplify29.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series48.0ms

simplify72.0ms

prune22.0ms

localize5.0ms

rewrite13.0ms

series57.0ms

simplify126.0ms

prune19.0ms

localize6.0ms

rewrite12.0ms

series52.0ms

simplify80.0ms

prune15.0ms

localize10.0ms

rewrite38.0ms

series277.0ms

simplify49.0ms

prune46.0ms

regimes35.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample410.0ms

Profiling