Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

307×

body

valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	16	4
1	42	3
2	109	2
3	577	2
4	4438	2
5	5001	2

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 6.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

6.2b	(* x (/ y z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 42

Calls

1 calls:

7.0ms

(* x (/ y z))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(* x (/ y z))

simplify83.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	188	150
1	888	135
2	3686	135
3	5001	135

prune83.0ms

Filtered

45 candidates to 30 candidates (66.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	7	46

Merged error: 0.0b

Counts

46 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
3.0b	(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

183×	`add-sqr-sqrt`
86×	`unswap-sqr`
71×	`cbrt-prod`
61×	`add-cbrt-cube`
55×	`associate-r`
53×	`associate-l`
45×	`cbrt-unprod`
38×	`times-frac`
35×	`*-un-lft-identity`
34×	`add-cube-cbrt`
25×	`add-exp-log`
14×	`swap-sqr`
13×	`pow1`
12×	`cbrt-undiv` `associate-*r/` `prod-exp`
7×	`-commutative` `associate-/l`
6×	`pow-prod-down`
4×	`add-log-exp`
3×	`pow1/3` `div-exp` `associate-/r*`
2×	`clear-num` `un-div-inv`
1×	`frac-2neg` `div-inv`

Counts

4 → 178

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
38.0ms	(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

series563.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt y)
176.0ms	(cbrt y)
173.0ms	(cbrt y)
39.0ms	(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

simplify108.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	762	1737
1	3931	1374
2	5001	1286

prune396.0ms

Filtered

190 candidates to 126 candidates (66.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	192	5	197

Merged error: 0b

Counts

197 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (/ x z) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 40

Calls

1 calls:

11.0ms

(* (/ x z) y)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* (/ x z) y)

simplify63.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	173	144
1	870	129
2	2777	129
3	5001	129

prune78.0ms

Filtered

43 candidates to 31 candidates (72.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	43	5	48

Merged error: 0b

Counts

48 → 5

localize9.0ms

Local error

Found 1 expressions with local error:

6.4b	(* (* y x) (/ 1 z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 65

Calls

1 calls:

13.0ms

(* (* y x) (/ 1 z))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(* (* y x) (/ 1 z))

simplify39.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	329	309
1	1488	252
2	5001	226

prune101.0ms

Filtered

68 candidates to 40 candidates (58.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	68	5	73

Merged error: 0b

Counts

73 → 5

regimes143.0ms

Accuracy

62.3% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 5.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

end0.0ms

sample505.0ms

Algorithm

intervals

Results

275.0ms

9551×

body

valid