Details

analyze446.0ms

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
12.5%	87.4%	0.1%	7
15.6%	84.3%	0.1%	8
18.7%	71.8%	9.5%	9
23.4%	56%	20.6%	10
26.3%	52.2%	21.5%	11
31%	40.1%	28.9%	12
35.6%	28.9%	35.5%	13
36.8%	27.5%	35.7%	14

sample24.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	77×	body	80	nan

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	37	12
1	37	12

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 21.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
1.4b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
19.9b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-r_binary64`
3×	`flip3-+_binary64` `associate-l_binary64` `sqrt-prod_binary64` `flip-+_binary64`
2×	`associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 51

Calls

3 calls:

6.0ms	(*.f64 x (+.f64 y z))
11.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series58.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 x (+.f64 y z))
8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
42.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5005	617

prune85.0ms

Filtered

43 candidates to 60 candidates (-39.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	8	61

Merged error: 21.0b

Counts

61 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 z (+.f64 x y))
1.8b	(+.f64 (.f64 x y) (.f64 z (+.f64 x y)))
19.9b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-r_binary64`
3×	`flip3-+_binary64` `associate-l_binary64` `sqrt-prod_binary64` `flip-+_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 51

Calls

3 calls:

6.0ms	(*.f64 z (+.f64 x y))
5.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 x y)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))

series61.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 z (+.f64 x y))
9.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 x y)))
44.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4917	621
1	4917	621

prune69.0ms

Filtered

43 candidates to 60 candidates (-39.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	60	8	68

Merged error: 21.0b

Counts

68 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

1.4b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
1.4b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
19.9b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
19.9b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
4×	`flip3-+_binary64` `associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `sqrt-div_binary64`
2×	`pow1/2_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 56

Calls

4 calls:

10.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
8.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
11.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
41.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
40.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5001	916

prune79.0ms

Filtered

54 candidates to 68 candidates (-25.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	67	9	76

Merged error: 21.0b

Counts

76 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.4b	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z))
19.9b	(sqrt.f64 (+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `cbrt-prod_binary64`
5×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sqrt-prod_binary64`
2×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
17.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z))
14.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 x)
22.0ms	(cbrt.f64 x)
14.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z))
48.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 y z) (cbrt.f64 x))) (.f64 y z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5014	562

prune50.0ms

Filtered

47 candidates to 60 candidates (-27.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	60	9	69

Merged error: 21.0b

Counts

69 → 9

regimes191.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.7b and baseline of 19.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample658.0ms

Algorithm

intervals

Results

346.0ms	8000×	body	80	valid
97.0ms	2248×	body	80	nan

Details

analyze446.0ms

sample24.0ms

simplify7.0ms

prune7.0ms

localize8.0ms

rewrite25.0ms

series58.0ms

simplify52.0ms

prune85.0ms

localize8.0ms

rewrite17.0ms

series61.0ms

simplify53.0ms

prune69.0ms

localize11.0ms

rewrite33.0ms

series100.0ms

simplify50.0ms

prune79.0ms

localize13.0ms

rewrite34.0ms

series103.0ms

simplify54.0ms

prune50.0ms

regimes191.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample658.0ms

Profiling