Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

316×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	3
1	37	3
2	67	3
3	79	3
4	79	3

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: 8.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

7.8b	(/ (* a1 a2) (* b1 b2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/ (* a1 a2) (* b1 b2))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(/ (* a1 a2) (* b1 b2))

simplify28.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	160	124
1	936	89
2	5001	89

prune37.0ms

Filtered

24 candidates to 13 candidates (54.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	7	25

Merged error: 0.0b

Counts

25 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (* b1 b2))
7.6b	(* (* a1 a2) (/ 1 (* b1 b2)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
30×	`prod-exp`
28×	`add-cbrt-cube`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`associate-r`
6×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `rec-exp` `*-un-lft-identity` `times-frac` `1-exp`
4×	`pow-prod-down`
3×	`associate-/l*`
2×	`pow-flip` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `associate-/r` `un-div-inv` `*-commutative` `inv-pow`

Counts

2 → 68

Calls

2 calls:

4.0ms	(/ 1 (* b1 b2))
12.0ms	(* (* a1 a2) (/ 1 (* b1 b2)))

series40.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(/ 1 (* b1 b2))
28.0ms	(* (* a1 a2) (/ 1 (* b1 b2)))

simplify40.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	295	337
1	1496	256
2	5001	231

prune76.0ms

Filtered

74 candidates to 29 candidates (39.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	0	5	5
Picked	0	1	1
Done	1	0	1
Total	71	10	81

Merged error: 0.0b

Counts

81 → 10

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 1 (/ (* b1 b2) (* a1 a2)))
7.8b	(/ (* b1 b2) (* a1 a2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
32×	`add-cbrt-cube`
26×	`div-exp`
20×	`times-frac`
16×	`prod-exp`
13×	`cbrt-undiv`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-unprod`
6×	`associate-/r*` `div-inv`
5×	`rec-exp` `1-exp`
4×	`associate-/l*`
3×	`pow1`
2×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 77

Calls

2 calls:

7.0ms	(/ 1 (/ (* b1 b2) (* a1 a2)))
5.0ms	(/ (* b1 b2) (* a1 a2))

series60.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ 1 (/ (* b1 b2) (* a1 a2)))
28.0ms	(/ (* b1 b2) (* a1 a2))

simplify55.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	322	506
1	1816	410
2	5003	385

prune82.0ms

Filtered

83 candidates to 35 candidates (42.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

2.6b	(/ (* a1 a2) b1)
7.3b	(/ (/ (* a1 a2) b1) b2)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*` `div-inv`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 69

Calls

2 calls:

4.0ms	(/ (* a1 a2) b1)
6.0ms	(/ (/ (* a1 a2) b1) b2)

series50.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (* a1 a2) b1)
27.0ms	(/ (/ (* a1 a2) b1) b2)

simplify36.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	301	392
1	1329	347
2	5001	347

prune133.0ms

Filtered

75 candidates to 55 candidates (73.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	76	8	84

Merged error: 0b

Counts

84 → 8

regimes290.0ms

Accuracy

47.7% (6.0b remaining)

Error of 6.0b against oracle of 0.0b and baseline of 11.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	22
1	40	22

end0.0ms

sample523.0ms

Algorithm

intervals

Results

278.0ms

9902×

body

valid