Details

analyze61.0ms

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%	56.2%	18.8%	6
25%	40.6%	34.4%	7
31.2%	31.2%	37.6%	8
39%	21.1%	39.9%	9
42.9%	16%	41.1%	10
47.2%	10.7%	42%	11
49.4%	8.1%	42.5%	12
51.6%	5.4%	43%	13
52.7%	4.1%	43.2%	14

sample10.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	69	7
1	69	7

prune2.0ms

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

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
8×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
5×	`add-cube-cbrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64` `frac-times_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

1 → 40

Calls

1 calls:

9.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify31.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5592	356

prune20.0ms

Filtered

22 candidates to 43 candidates (-95.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0.0b

Counts

44 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*r/_binary64`
11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
7×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
6×	`associate-l_binary64`
5×	`add-log-exp_binary64`
4×	`frac-add_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`distribute-rgt-out_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 66

Calls

3 calls:

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

series16.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4841	616
1	4841	616

prune29.0ms

Filtered

49 candidates to 75 candidates (-53.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

9.0ms	(+.f64 (.f64 x (+.f64 y (+.f64 x y))) (.f64 y y))
9.0ms	(*.f64 x (+.f64 y (+.f64 x y)))
6.0ms	(+.f64 y (+.f64 x y))

series17.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y (+.f64 x y))) (.f64 y y))
6.0ms	(*.f64 x (+.f64 y (+.f64 x y)))
4.0ms	(+.f64 y (+.f64 x y))

simplify84.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4918	498
1	4918	498

prune20.0ms

Filtered

44 candidates to 61 candidates (-38.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	61	3	64

Merged error: 0b

Counts

64 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

5.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 x (+.f64 x y))))
8.0ms	(*.f64 y (+.f64 x (+.f64 x y)))
6.0ms	(+.f64 x (+.f64 x y))

series17.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 x (+.f64 x y))))
6.0ms	(*.f64 y (+.f64 x (+.f64 x y)))
5.0ms	(+.f64 x (+.f64 x y))

simplify38.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5016	490

prune17.0ms

Filtered

39 candidates to 61 candidates (-56.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	61	3	64

Merged error: 0b

Counts

64 → 3

regimes44.0ms

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	10	11
1	10	11

end0.0ms

sample252.0ms

Algorithm

intervals

Results

129.0ms	8000×	body	80	valid
5.0ms	93×	body	80	invalid

Details

analyze61.0ms

sample10.0ms

simplify6.0ms

prune2.0ms

localize3.0ms

rewrite10.0ms

series4.0ms

simplify31.0ms

prune20.0ms

localize5.0ms

rewrite23.0ms

series16.0ms

simplify50.0ms

prune29.0ms

localize6.0ms

rewrite25.0ms

series17.0ms

simplify84.0ms

prune20.0ms

localize6.0ms

rewrite20.0ms

series17.0ms

simplify38.0ms

prune17.0ms

regimes44.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample252.0ms

Profiling