Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

307×

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: 11.5b

Counts

2 → 1

localize138.0ms

Local error

Found 1 expressions with local error:

11.1b

(/ (* 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:

6.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify28.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (6.0ms)

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

prune42.0ms

Filtered

26 candidates to 15 candidates (57.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	22	4	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	5	27

Merged error: 0.1b

Counts

27 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

10.1b

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

rewrite12.0ms

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×	`expm1-log1p-u` `frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

10.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	321	286
1	1417	251
2	5001	250

prune110.0ms

Filtered

55 candidates to 41 candidates (74.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	50	10	60

Merged error: 0.0b

Counts

60 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt b2)
0.5b	(cbrt b2)
3.3b	(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
5.3b	(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

86×	`times-frac`
68×	`add-sqr-sqrt`
57×	`add-exp-log`
41×	`add-cube-cbrt` `*-un-lft-identity`
40×	`add-cbrt-cube`
23×	`cbrt-undiv` `div-exp`
22×	`associate-r`
18×	`cbrt-prod`
17×	`associate-l`
16×	`prod-exp` `cbrt-unprod`
13×	`associate-/l*`
9×	`unswap-sqr`
6×	`pow1` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `associate-/r` `-commutative` `associate-/l/`

Counts

4 → 156

Calls

4 calls:

2.0ms	(cbrt b2)
1.0ms	(cbrt b2)
8.0ms	(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
22.0ms	(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

series531.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt b2)
174.0ms	(cbrt b2)
106.0ms	(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
74.0ms	(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

simplify87.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	743	1409
1	3813	1151
2	5001	1087

prune415.0ms

Filtered

168 candidates to 127 candidates (75.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	168	10	178

Merged error: 0.0b

Counts

178 → 10

localize5.0ms

Local error

Found 2 expressions with local error:

4.2b	(/ (/ a2 b2) b1)
6.3b	(* a1 (/ (/ a2 b2) b1))

rewrite26.0ms

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 b2) b1)
13.0ms	(* a1 (/ (/ a2 b2) b1))

series45.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(/ (/ a2 b2) b1)
27.0ms	(* a1 (/ (/ a2 b2) b1))

simplify68.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	551	847
1	2548	795
2	5002	795

prune266.0ms

Filtered

145 candidates to 116 candidates (80.0%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	3	3	6
Picked	0	1	1
Done	0	3	3
Total	146	9	155

Merged error: 0.0b

Counts

155 → 9

regimes360.0ms

Accuracy

73.5% (2.8b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 10.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	37
1	31	37

end0.0ms

sample514.0ms

Algorithm

intervals

Results

247.0ms

9938×

body

valid