Details

sample33.0ms

Algorithm

intervals

Results

16.0ms

378×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	7
1	57	6
2	95	6
3	116	6
4	118	6
5	118	6

prune7.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ t (* z b))
0.0b	(+ (* y z) (+ x (* a (+ t (* z b)))))
2.7b	(* a (+ t (* z b)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`sum-log`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `associate-*r/`
1×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 46

Calls

3 calls:

3.0ms	(+ t (* z b))
5.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
5.0ms	(* a (+ t (* z b)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ t (* z b))
88.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
56.0ms	(* a (+ t (* z b)))

simplify39.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	273	310
1	1168	276
2	5002	276

prune126.0ms

Filtered

55 candidates to 41 candidates (74.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	52	5	57

Merged error: 0.0b

Counts

57 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.8b	(* (* a z) b)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

2.0ms	(+ x (* y z))
5.0ms	(+ (+ x (* y z)) (* t a))
8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(* (* a z) b)

series172.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ x (* y z))
45.0ms	(+ (+ x (* y z)) (* t a))
79.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms	(* (* a z) b)

simplify47.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	335	378
1	1670	347
2	5002	342

prune147.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.9b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.1b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
11.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
9.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series504.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt b)
175.0ms	(cbrt b)
48.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
100.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify46.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	258	535
1	1318	385
2	5001	337

prune207.0ms

Filtered

86 candidates to 54 candidates (62.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (* a z) (* (cbrt b) (cbrt b)))
12.2b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
12.2b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
12.2b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 49

Calls

4 calls:

9.0ms	(* (* a z) (* (cbrt b) (cbrt b)))
10.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
7.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
7.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

series648.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (* a z) (* (cbrt b) (cbrt b)))
183.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
182.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
183.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

simplify90.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	223	495
1	798	417
2	3718	396
3	5002	388

prune234.0ms

Filtered

61 candidates to 48 candidates (78.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	61	7	68

Merged error: 0.0b

Counts

68 → 7

regimes295.0ms

Accuracy

76.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	42
1	46	42

end0.0ms

sample903.0ms

Algorithm

intervals

Results

526.0ms

11791×

body

valid