Details

sample54.0ms

Algorithm

intervals

Results

19.0ms

391×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	80	13
1	80	13

prune13.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
5.2b	(* (* a z) b)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

6.0ms	(+ (+ x (* y z)) (* t a))
3.0ms	(+ x (* y z))
5.0ms	(* (* a z) b)

series29.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (+ x (* y z)) (* t a))
7.0ms	(+ x (* y z))
7.0ms	(* (* a z) b)

simplify36.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5421	415

prune75.0ms

Filtered

37 candidates to 51 candidates (-37.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	49	4	53

Merged error: 0.0b

Counts

53 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.1b	(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
4.0b	(* a (* z (* (cbrt b) (cbrt b))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
13.0ms	(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
10.0ms	(* a (* z (* (cbrt b) (cbrt b))))

series89.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt b)
25.0ms	(cbrt b)
12.0ms	(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
28.0ms	(* a (* z (* (cbrt b) (cbrt b))))

simplify62.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5191	474

prune84.0ms

Filtered

46 candidates to 82 candidates (-78.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	82	4	86

Merged error: 0.0b

Counts

86 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.1b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.3b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite29.0ms

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)
13.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
10.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt b)
28.0ms	(cbrt b)
10.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
28.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify51.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4925	514
1	4925	514

prune85.0ms

Filtered

47 candidates to 86 candidates (-83.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
1.1b	(* (* (* a (* z (cbrt b))) (cbrt b)) (cbrt b))
1.2b	(* a (* z (cbrt b)))
2.9b	(* (* a (* z (cbrt b))) (cbrt b))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

1.0ms	(cbrt b)
12.0ms	(* (* (* a (* z (cbrt b))) (cbrt b)) (cbrt b))
9.0ms	(* a (* z (cbrt b)))
9.0ms	(* (* a (* z (cbrt b))) (cbrt b))

series81.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt b)
10.0ms	(* (* (* a (* z (cbrt b))) (cbrt b)) (cbrt b))
19.0ms	(* a (* z (cbrt b)))
28.0ms	(* (* a (* z (cbrt b))) (cbrt b))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4971	618
1	4971	618

prune76.0ms

Filtered

52 candidates to 92 candidates (-76.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	91	6	97

Merged error: 0.0b

Counts

97 → 6

regimes529.0ms

Accuracy

70.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.3b

bsearch70.0ms

Steps

Iters	Range		Point
8	2.3885905512890262e+30	4.990390279759565e+34	7.665402236135325e+31
10	-1.717489063591605e+17	-39559762.57920373	-7156856978.830811

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	44
1	43	44

end0.0ms

sample1.4s

Algorithm

intervals

Results

598.0ms

11921×

body

valid

Details

sample54.0ms

simplify3.0ms

prune13.0ms

localize11.0ms

rewrite15.0ms

series29.0ms

simplify36.0ms

prune75.0ms

localize15.0ms

rewrite29.0ms

series89.0ms

simplify62.0ms

prune84.0ms

localize17.0ms

rewrite29.0ms

series91.0ms

simplify51.0ms

prune85.0ms

localize15.0ms

rewrite34.0ms

series81.0ms

simplify49.0ms

prune76.0ms

regimes529.0ms

bsearch70.0ms

simplify1.0ms

end0.0ms

sample1.4s

Profiling