Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

331×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 12.5b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

12.1b

(/ (* 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` `expm1-log1p-u` `add-cube-cbrt` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

5.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify29.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	162	132
1	938	97
2	5001	97

prune43.0ms

Filtered

26 candidates to 15 candidates (57.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	21	5	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	6	27

Merged error: 0.1b

Counts

27 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

4.7b	(/ a1 (/ (* b1 b2) a2))
5.8b	(/ (* b1 b2) a2)

rewrite12.0ms

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`
10×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`div-inv`
4×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 73

Calls

2 calls:

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

series53.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ a1 (/ (* b1 b2) a2))
20.0ms	(/ (* b1 b2) a2)

simplify40.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	296	411
1	1413	367
2	5001	364

prune149.0ms

Filtered

79 candidates to 60 candidates (75.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

4.7b	(/ a1 (/ b1 (/ a2 b2)))
4.8b	(/ b1 (/ a2 b2))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

471×	`times-frac`
229×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
57×	`associate-/r*`
22×	`div-inv`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
6×	`associate-/r/` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

2 → 270

Calls

2 calls:

11.0ms	(/ a1 (/ b1 (/ a2 b2)))
5.0ms	(/ b1 (/ a2 b2))

series53.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ a1 (/ b1 (/ a2 b2)))
26.0ms	(/ b1 (/ a2 b2))

simplify53.0ms

Algorithm

egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1062	2379
1	5001	2283

prune614.0ms

Filtered

276 candidates to 237 candidates (85.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	274	2	276
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	276	7	283

Merged error: 0b

Counts

283 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

4.4b	(* (/ b1 a2) b2)
4.7b	(/ a1 (* (/ b1 a2) b2))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac` `associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod`
3×	`associate-r` `associate-/l*`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `associate-/r/` `-commutative`

Counts

2 → 60

Calls

2 calls:

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

series54.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* (/ b1 a2) b2)
29.0ms	(/ a1 (* (/ b1 a2) b2))

simplify34.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	255	276
1	1120	232
2	5002	230

prune94.0ms

Filtered

66 candidates to 45 candidates (68.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	66	7	73

Merged error: 0b

Counts

73 → 7

regimes292.0ms

Accuracy

75.9% (2.6b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 10.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	27
1	28	27

end0.0ms

sample523.0ms

Algorithm

intervals

Results

274.0ms

10028×

body

valid