Details

analyze2.2s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample91.0ms

Algorithm

intervals

Results

32.0ms	346×	body	80	invalid
20.0ms	256×	body	80	valid

simplify381.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (377.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	29

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 10.8b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 y z) (.f64 t a))
4.3b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
4.7b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.4b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

4.0ms	(-.f64 (.f64 y z) (.f64 t a))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
10.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(-.f64 (.f64 y z) (.f64 t a))
20.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
20.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
20.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

simplify50.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4937	937
1	4937	937

prune168.0ms

Filtered

68 candidates to 89 candidates (-30.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	69	20	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	20	90

Merged error: 8.2b

Counts

90 → 20

localize29.0ms

Local error

Found 4 expressions with local error:

5.4b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 a t)))
5.4b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 a t)))
5.4b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
5.4b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_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`

Counts

4 → 61

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 a t)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 a t)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

series160.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 a t)))
42.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 a t)))
38.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
22.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

simplify43.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5039	897

prune143.0ms

Filtered

63 candidates to 73 candidates (-15.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	19	19
Picked	1	0	1
Done	0	0	0
Total	72	21	93

Merged error: 8.2b

Counts

93 → 21

localize26.0ms

Local error

Found 4 expressions with local error:

5.4b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.5b	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i t))))
5.5b	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i t))))
5.5b	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i t))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `cbrt-prod_binary64`
2×	`sub-neg_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`

Counts

4 → 55

Calls

4 calls:

7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i t))))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i t))))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i t))))

series149.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
42.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i t))))
45.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i t))))
42.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i t))))

simplify44.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5228	828

prune135.0ms

Filtered

59 candidates to 67 candidates (-13.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	2	18	20
Picked	1	0	1
Done	0	0	0
Total	68	20	88

Merged error: 8.2b

Counts

88 → 20

localize27.0ms

Local error

Found 4 expressions with local error:

5.4b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.5b	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i t))))
5.5b	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i t))))
5.9b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `associate-*r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`cbrt-prod_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
2×	`sub-neg_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`

Counts

4 → 57

Calls

4 calls:

7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
7.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i t))))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i t))))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i t)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
44.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i t))))
42.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i t))))
37.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4976	844
1	4976	844

prune49.0ms

Filtered

63 candidates to 69 candidates (-9.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	19	19
Picked	1	0	1
Done	0	0	0
Total	69	20	89

Merged error: 8.2b

Counts

89 → 20

regimes1.5s

Accuracy

0% (3.7b remaining)

Error of 12.0b against oracle of 8.3b and baseline of 12.0b

bsearch0.0ms

simplify14.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	607	36
1	607	36

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.0s	11096×	body	80	invalid
707.0ms	8000×	body	80	valid

Details

analyze2.2s

sample91.0ms

simplify381.0ms

prune10.0ms

localize20.0ms

rewrite30.0ms

series72.0ms

simplify50.0ms

prune168.0ms

localize29.0ms

rewrite21.0ms

series160.0ms

simplify43.0ms

prune143.0ms

localize26.0ms

rewrite24.0ms

series149.0ms

simplify44.0ms

prune135.0ms

localize27.0ms

rewrite24.0ms

series143.0ms

simplify45.0ms

prune49.0ms

regimes1.5s

bsearch0.0ms

simplify14.0ms

end0.0ms

sample2.8s

Profiling