Details

sample53.0ms

Algorithm

intervals

Results

18.0ms

398×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

prune17.0ms

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)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
6.2b	(* (* a z) b)

rewrite20.0ms

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:

8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms	(+ x (* y z))
4.0ms	(+ (+ x (* y z)) (* t a))
4.0ms	(* (* a z) b)

series195.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms	(+ x (* y z))
42.0ms	(+ (+ x (* y z)) (* t a))
27.0ms	(* (* a z) b)

simplify49.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (42.0ms)

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

prune330.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ t (* z b))
0.0b	(+ x (* a (+ t (* z b))))
0.0b	(+ (* y z) (+ x (* a (+ t (* z b)))))
2.4b	(* a (+ t (* z b)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

2.0ms	(+ t (* z b))
3.0ms	(+ x (* a (+ t (* z b))))
5.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
5.0ms	(* a (+ t (* z b)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ t (* z b))
64.0ms	(+ x (* a (+ t (* z b))))
84.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
56.0ms	(* a (+ t (* z b)))

simplify42.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	325	392
1	1353	363
2	5001	363

prune367.0ms

Filtered

71 candidates to 54 candidates (76.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

localize15.0ms

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))
4.4b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite25.0ms

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)
12.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
9.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series497.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt b)
173.0ms	(cbrt b)
49.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
103.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify48.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (42.0ms)

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

prune392.0ms

Filtered

86 candidates to 54 candidates (62.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

6.2b	(* (* a z) b)
13.9b	(cbrt (* (* a z) b))
13.9b	(cbrt (* (* a z) b))
13.9b	(cbrt (* (* a z) b))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

5.0ms	(* (* a z) b)
3.0ms	(cbrt (* (* a z) b))
3.0ms	(cbrt (* (* a z) b))
3.0ms	(cbrt (* (* a z) b))

series288.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* a z) b)
87.0ms	(cbrt (* (* a z) b))
87.0ms	(cbrt (* (* a z) b))
88.0ms	(cbrt (* (* a z) b))

simplify78.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	181	286
1	716	238
2	3196	229
3	5001	207

prune309.0ms

Filtered

57 candidates to 45 candidates (78.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	57	7	64

Merged error: 0.0b

Counts

64 → 7

regimes733.0ms

Accuracy

23.8% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.9b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	20
1	33	20

end0.0ms

sample1.2s

Algorithm

intervals

Results

522.0ms

11727×

body

valid

Details

sample53.0ms

simplify11.0ms

prune17.0ms

localize11.0ms

rewrite20.0ms

series195.0ms

simplify49.0ms

prune330.0ms

localize10.0ms

rewrite16.0ms

series230.0ms

simplify42.0ms

prune367.0ms

localize15.0ms

rewrite25.0ms

series497.0ms

simplify48.0ms

prune392.0ms

localize16.0ms

rewrite16.0ms

series288.0ms

simplify78.0ms

prune309.0ms

regimes733.0ms

bsearch2.0ms

simplify1.0ms

end0.0ms

sample1.2s

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