Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

315×

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: 12.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

11.7b

(/ (* 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:

6.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(/ (* 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

prune45.0ms

Filtered

24 candidates to 13 candidates (54.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	6	25

Merged error: 0.1b

Counts

25 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

11.2b

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`times-frac`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow1`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `add-log-exp`

Counts

1 → 50

Calls

1 calls:

14.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify37.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	319	278
1	1415	243
2	5001	242

prune122.0ms

Filtered

53 candidates to 40 candidates (75.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	50	9	59

Merged error: 0b

Counts

59 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

4.9b	(* a1 (/ a2 b2))
6.2b	(/ (* a1 (/ a2 b2)) b1)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

7.0ms	(* a1 (/ a2 b2))
6.0ms	(/ (* a1 (/ a2 b2)) b1)

series49.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* a1 (/ a2 b2))
30.0ms	(/ (* a1 (/ a2 b2)) b1)

simplify36.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	270	264
1	1342	221
2	5001	221

prune117.0ms

Filtered

62 candidates to 40 candidates (64.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	62	9	71

Merged error: 0b

Counts

71 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a1)
0.5b	(cbrt a1)
5.2b	(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
5.7b	(* (/ (cbrt a1) b1) (/ a2 b2))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-exp-log`
67×	`add-cbrt-cube`
59×	`prod-exp`
47×	`add-sqr-sqrt`
44×	`div-exp`
37×	`times-frac`
36×	`cbrt-unprod`
29×	`associate-l`
28×	`add-cube-cbrt` `*-un-lft-identity`
26×	`cbrt-undiv`
17×	`cbrt-prod`
14×	`associate-r`
11×	`pow1`
10×	`1-exp`
6×	`frac-times` `associate-*r/` `unswap-sqr`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`div-inv`
2×	`pow1/3` `*-commutative`

Counts

4 → 148

Calls

4 calls:

1.0ms	(cbrt a1)
1.0ms	(cbrt a1)
17.0ms	(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
13.0ms	(* (/ (cbrt a1) b1) (/ a2 b2))

series559.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt a1)
172.0ms	(cbrt a1)
59.0ms	(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
146.0ms	(* (/ (cbrt a1) b1) (/ a2 b2))

simplify89.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	754	1263
1	3960	978
2	5002	867

prune315.0ms

Filtered

160 candidates to 91 candidates (56.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	160	9	169

Merged error: 0b

Counts

169 → 9

regimes407.0ms

Accuracy

80.9% (2.2b remaining)

Error of 2.2b 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	31	27
1	34	27
2	37	27
3	37	27

end0.0ms

sample485.0ms

Algorithm

intervals

Results

244.0ms

9997×

body

valid