Details

sample30.0ms

Algorithm

intervals

Results

10.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	4
1	53	4
2	145	4
3	268	4
4	290	4
5	290	4

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 3.8b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b	(+ b (+ c d))
2.8b	(+ a (+ b (+ c d)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `add-log-exp`
9×	`sum-log` `distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 32

Calls

2 calls:

5.0ms	(+ b (+ c d))
7.0ms	(+ a (+ b (+ c d)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ b (+ c d))
9.0ms	(+ a (+ b (+ c d)))

simplify80.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	170	150
1	667	143
2	4074	143
3	5001	143

prune71.0ms

Filtered

38 candidates to 24 candidates (36.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	30	8	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	8	39

Merged error: 2.4b

Counts

39 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

2.8b	(+ a (+ (+ b c) d))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
6×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 17

Calls

1 calls:

7.0ms

(+ a (+ (+ b c) d))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(+ a (+ (+ b c) d))

simplify60.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	112	92
1	463	85
2	3032	85
3	5002	85

prune57.0ms

Filtered

20 candidates to 13 candidates (35.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	13	7	20
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	17	11	28

Merged error: 2.1b

Counts

28 → 11

localize9.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.8b	(+ a (+ (+ b c) d))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
18×	`cbrt-prod` `distribute-lft-out`
11×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod` `sum-log`
5×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`pow1` `add-exp-log` `cube-div` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `cube-mult` `associate-+r+` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 46

Calls

2 calls:

8.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
7.0ms	(+ a (+ (+ b c) d))

series21.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
8.0ms	(+ a (+ (+ b c) d))

simplify28.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	210	277
1	906	275
2	5001	273

prune99.0ms

Filtered

52 candidates to 24 candidates (53.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	47	16	63

Merged error: 2.1b

Counts

63 → 16

localize12.0ms

Local error

Found 3 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
0.6b	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
2.8b	(+ a (+ (+ b c) d))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-prod`
78×	`*-un-lft-identity`
42×	`distribute-lft-out`
39×	`unpow-prod-down` `cube-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`add-log-exp`
6×	`cube-div` `cbrt-div` `sum-log`
4×	`cube-mult` `unpow3` `sqr-pow`
3×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`pow1/3` `rem-cbrt-cube`
1×	`+-commutative` `associate-+r+`

Counts

3 → 105

Calls

3 calls:

8.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
12.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
8.0ms	(+ a (+ (+ b c) d))

series32.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
12.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
8.0ms	(+ a (+ (+ b c) d))

simplify38.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	342	702
1	1021	698
2	5002	694

prune65.0ms

Filtered

114 candidates to 36 candidates (68.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	107	7	114
Fresh	2	12	14
Picked	1	0	1
Done	0	1	1
Total	110	20	130

Merged error: 2.1b

Counts

130 → 20

regimes1.0s

Accuracy

0% (0.8b remaining)

Error of 2.8b against oracle of 2.0b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample810.0ms

Algorithm

intervals

Results

300.0ms	8000×	pre	80	true
200.0ms	8000×	body	80	valid

Details

sample30.0ms

simplify12.0ms

prune3.0ms

localize9.0ms

rewrite13.0ms

series13.0ms

simplify80.0ms

prune71.0ms

localize6.0ms

rewrite8.0ms

series8.0ms

simplify60.0ms

prune57.0ms

localize9.0ms

rewrite18.0ms

series21.0ms

simplify28.0ms

prune99.0ms

localize12.0ms

rewrite33.0ms

series32.0ms

simplify38.0ms

prune65.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample810.0ms

Profiling