Details

analyze65.0ms

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
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	7
1	38	7

prune8.0ms

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 2 expressions with local error:

0.0b	(*.f64 x (+.f64 x y))
0.0b	(.f64 2 (.f64 x (+.f64 x y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 x y))
8.0ms	(.f64 2 (.f64 x (+.f64 x y)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 x (+.f64 x y))
6.0ms	(.f64 2 (.f64 x (+.f64 x y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4965	386
1	4965	386

prune36.0ms

Filtered

29 candidates to 53 candidates (-82.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	53	2	55

Merged error: 0b

Counts

55 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-l_binary64`
11×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
4×	`distribute-lft-out_binary64` `associate-r_binary64` `frac-times_binary64`
3×	`pow1_binary64` `distribute-rgt-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `count-2_binary64` `distribute-lft1-in_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 38

Calls

1 calls:

11.0ms

(*.f64 (+.f64 x x) (+.f64 x y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(*.f64 (+.f64 x x) (+.f64 x y))

simplify60.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4876	343
1	4876	343

prune29.0ms

Filtered

27 candidates to 41 candidates (-51.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Merged error: 0b

Counts

43 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 x y))
0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`-un-lft-identity_binary64` `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×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `flip-+_binary64`
1×	`pow-prod-down_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

2 → 35

Calls

2 calls:

4.0ms	(+.f64 (.f64 x x) (.f64 x y))
7.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+.f64 (.f64 x x) (.f64 x y))
7.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4980	335
1	4980	335

prune31.0ms

Filtered

30 candidates to 41 candidates (-36.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	41	2	43

Merged error: 0b

Counts

43 → 2

regimes133.0ms

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	7	7
1	7	7

end0.0ms

sample345.0ms

Algorithm

intervals

Results

213.0ms	8000×	body	80	valid
4.0ms	156×	body	80	invalid

Details

analyze65.0ms

sample17.0ms

simplify6.0ms

prune8.0ms

localize5.0ms

rewrite16.0ms

series11.0ms

simplify75.0ms

prune36.0ms

localize4.0ms

rewrite12.0ms

series6.0ms

simplify60.0ms

prune29.0ms

localize5.0ms

rewrite12.0ms

series13.0ms

simplify57.0ms

prune31.0ms

regimes133.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample345.0ms

Profiling