Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

315×

body

valid

simplify10.0ms

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: 11.6b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

11.3b

(/ (* 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:

6.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(/ (* 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

prune50.0ms

Filtered

26 candidates to 15 candidates (57.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	20	6	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	6	27

Merged error: 0.0b

Counts

27 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

4.3b	(/ (/ (* a1 a2) b1) b2)
5.9b	(/ (* a1 a2) b1)

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` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 73

Calls

2 calls:

6.0ms	(/ (/ (* a1 a2) b1) b2)
5.0ms	(/ (* a1 a2) b1)

series53.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (/ (* a1 a2) b1) b2)
19.0ms	(/ (* a1 a2) b1)

simplify42.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	305	406
1	1333	361
2	5002	361

prune344.0ms

Filtered

79 candidates to 59 candidates (74.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	76	9	85

Merged error: 0.0b

Counts

85 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b1)
0.6b	(cbrt b1)
4.3b	(/ (* (/ a1 (* (cbrt b1) (cbrt b1))) (/ a2 (cbrt b1))) b2)
5.0b	(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ a2 (cbrt b1)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-exp-log`
40×	`add-cbrt-cube`
39×	`add-sqr-sqrt`
31×	`times-frac`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`associate-r`
21×	`cbrt-undiv` `div-exp`
17×	`cbrt-prod`
16×	`prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `div-inv` `associate-/l/`
2×	`frac-times` `pow1/3` `associate-r/` `associate-l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt b1)
1.0ms	(cbrt b1)
16.0ms	(/ (* (/ a1 (* (cbrt b1) (cbrt b1))) (/ a2 (cbrt b1))) b2)
15.0ms	(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ a2 (cbrt b1)))

series477.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt b1)
176.0ms	(cbrt b1)
65.0ms	(/ (* (/ a1 (* (cbrt b1) (cbrt b1))) (/ a2 (cbrt b1))) b2)
48.0ms	(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ a2 (cbrt b1)))

simplify78.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	577	1121
1	3215	868
2	5002	802

prune277.0ms

Filtered

135 candidates to 97 candidates (71.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	135	9	144

Merged error: 0.0b

Counts

144 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

5.3b	(/ (/ a2 b1) b2)
6.6b	(* a1 (/ (/ a2 b1) b2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 139

Calls

2 calls:

6.0ms	(/ (/ a2 b1) b2)
14.0ms	(* a1 (/ (/ a2 b1) b2))

series52.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ (/ a2 b1) b2)
32.0ms	(* a1 (/ (/ a2 b1) b2))

simplify66.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	550	847
1	2549	795
2	5001	795

prune278.0ms

Filtered

145 candidates to 117 candidates (80.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	145	9	154

Merged error: 0b

Counts

154 → 9

regimes335.0ms

Accuracy

48.7% (5.2b remaining)

Error of 5.3b against oracle of 0.0b and baseline of 10.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	29
1	31	29

end0.0ms

sample517.0ms

Algorithm

intervals

Results

278.0ms

9944×

body

valid