Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

392×

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.2b	(* (* 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:

5.0ms	(+ (+ x (* y z)) (* t a))
3.0ms	(+ x (* y z))
8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(* (* a z) b)

series175.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (+ x (* y z)) (* t a))
24.0ms	(+ x (* y z))
80.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
28.0ms	(* (* a z) b)

simplify50.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (44.0ms)

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

prune149.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (* y z)))
0.6b	(cbrt (+ x (* y z)))
0.6b	(cbrt (+ x (* y z)))
4.2b	(* (* a z) b)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`add-log-exp`
3×	`flip3-+` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
1×	`associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

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

series347.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (+ x (* y z)))
105.0ms	(cbrt (+ x (* y z)))
110.0ms	(cbrt (+ x (* y z)))
28.0ms	(* (* a z) b)

simplify104.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	261	433
1	917	394
2	4528	373
3	5001	364

prune201.0ms

Filtered

69 candidates to 55 candidates (79.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y z) (+ x (* a (+ t (* z b)))))
0.0b	(+ x (* a (+ t (* z b))))
3.9b	(* 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×	`associate-+r+` `flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 48

Calls

3 calls:

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

series210.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
66.0ms	(+ x (* a (+ t (* z b))))
57.0ms	(* a (+ t (* z b)))

simplify39.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	303	338
1	1297	314
2	5001	314

prune115.0ms

Filtered

57 candidates to 43 candidates (75.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	57	5	62

Merged error: 0.0b

Counts

62 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* (* a z) (sqrt b)) (sqrt b)))
0.0b	(+ x (* y z))
0.5b	(* (* a z) (sqrt b))
0.7b	(* (* (* a z) (sqrt b)) (sqrt b))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`add-log-exp`
12×	`associate-r`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`sum-log`
6×	`sqrt-prod`
2×	`+-commutative` `flip3-+` `associate-l` `*-commutative` `flip-+`
1×	`associate-+l+`

Counts

4 → 70

Calls

4 calls:

8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* (* a z) (sqrt b)) (sqrt b)))
3.0ms	(+ x (* y z))
6.0ms	(* (* a z) (sqrt b))
9.0ms	(* (* (* a z) (sqrt b)) (sqrt b))

series206.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* (* a z) (sqrt b)) (sqrt b)))
36.0ms	(+ x (* y z))
48.0ms	(* (* a z) (sqrt b))
38.0ms	(* (* (* a z) (sqrt b)) (sqrt b))

simplify66.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	405	552
1	2118	442
2	5002	429

prune177.0ms

Filtered

82 candidates to 55 candidates (67.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

regimes204.0ms

Accuracy

86.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.0b

bsearch83.0ms

Steps

Iters	Range		Point
7	7.291113350531787e-11	1.3803315812694795e-08	1.3397694983896792e-09
7	-2.7491594507836254e-17	-1.5676827561762912e-18	-2.002536749951976e-17

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	13
1	39	13

end0.0ms

sample819.0ms

Algorithm

intervals

Results

436.0ms

11795×

body

valid