Details

sample35.0ms

Algorithm

intervals

Results

9.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify14.0ms

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

prune2.0ms

Filtered

1 candidates to 0 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: 3.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.5b	(+ b (+ c d))
2.7b	(+ a (+ b (+ c d)))

rewrite14.0ms

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)))

series44.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ b (+ c d))
29.0ms	(+ a (+ b (+ c d)))

simplify82.0ms

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

prune81.0ms

Filtered

38 candidates to 24 candidates (63.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	31	7	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	7	39

Merged error: 2.3b

Counts

39 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

2.7b	(+ 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))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify63.0ms

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

prune52.0ms

Filtered

20 candidates to 13 candidates (65.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	14	6	20
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	17	10	27

Merged error: 2.0b

Counts

27 → 10

localize9.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.7b	(+ a (+ (+ b c) d))

rewrite17.0ms

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))
8.0ms	(+ a (+ (+ b c) d))

series86.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
33.0ms	(+ a (+ (+ b c) d))

simplify30.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (25.0ms)

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

prune113.0ms

Filtered

52 candidates to 25 candidates (48.1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	43	9	52
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	44	18	62

Merged error: 1.9b

Counts

62 → 18

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))))
2.7b	(+ a (+ (+ b c) d))
2.7b	(+ a (+ (+ b c) d))
2.7b	(+ a (+ (+ b c) d))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
18×	`sum-log` `distribute-lft-out`
9×	`flip3-+` `flip-+`
8×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `frac-times` `add-cube-cbrt` `add-cbrt-cube`
3×	`+-commutative` `associate-+r+`
2×	`associate-r/` `associate-l/`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 68

Calls

4 calls:

14.0ms	(cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))))
8.0ms	(+ a (+ (+ b c) d))
12.0ms	(+ a (+ (+ b c) d))
8.0ms	(+ a (+ (+ b c) d))

series286.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))))
33.0ms	(+ a (+ (+ b c) d))
29.0ms	(+ a (+ (+ b c) d))
29.0ms	(+ a (+ (+ b c) d))

simplify34.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	232	585
1	921	543
2	5001	541

prune177.0ms

Filtered

80 candidates to 54 candidates (67.5%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	69	11	80
Fresh	3	13	16
Picked	1	0	1
Done	0	1	1
Total	73	25	98

Merged error: 1.7b

Counts

98 → 25

regimes627.0ms

Accuracy

0% (1.0b remaining)

Error of 2.8b against oracle of 1.7b 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

sample707.0ms

Algorithm

intervals

Results

293.0ms	8000×	pre	80	true
200.0ms	8000×	body	80	valid

Details

sample35.0ms

simplify14.0ms

prune2.0ms

localize6.0ms

rewrite14.0ms

series44.0ms

simplify82.0ms

prune81.0ms

localize7.0ms

rewrite8.0ms

series29.0ms

simplify63.0ms

prune52.0ms

localize9.0ms

rewrite17.0ms

series86.0ms

simplify30.0ms

prune113.0ms

localize11.0ms

rewrite44.0ms

series286.0ms

simplify34.0ms

prune177.0ms

regimes627.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample707.0ms

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