Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

327×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	12	3
2	12	3

prune1.0ms

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (* y z) z))
0.2b	(* (* y z) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

2.0ms	(+ x (* (* y z) z))
7.0ms	(* (* y z) z)

series85.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ x (* (* y z) z))
36.0ms	(* (* y z) z)

simplify124.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	159	140
1	724	123
2	3491	123
3	5001	122

prune55.0ms

Filtered

35 candidates to 23 candidates (65.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0.0b

Counts

36 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

8.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series702.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (cbrt z) (cbrt z))
173.0ms	(cbrt z)
170.0ms	(cbrt z)
173.0ms	(cbrt z)

simplify86.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune164.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (pow z 2)))
12.8b	(* y (pow z 2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 38

Calls

2 calls:

2.0ms	(+ x (* y (pow z 2)))
5.0ms	(* y (pow z 2))

series77.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ x (* y (pow z 2)))
25.0ms	(* y (pow z 2))

simplify118.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	171	170
1	624	152
2	3136	152
3	5001	151

prune113.0ms

Filtered

44 candidates to 30 candidates (68.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	44	5	49

Merged error: 0.0b

Counts

49 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* y z) (cbrt (pow z 2))) (cbrt z))
0.3b	(* (* y z) (cbrt (pow z 2)))
0.6b	(cbrt z)
26.4b	(cbrt (pow z 2))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
18×	`pow1` `add-exp-log`
17×	`associate-r`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`unpow-prod-down`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative` `unpow2` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

16.0ms	(* (* (* y z) (cbrt (pow z 2))) (cbrt z))
12.0ms	(* (* y z) (cbrt (pow z 2)))
2.0ms	(cbrt z)
3.0ms	(cbrt (pow z 2))

series462.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* (* y z) (cbrt (pow z 2))) (cbrt z))
76.0ms	(* (* y z) (cbrt (pow z 2)))
169.0ms	(cbrt z)
177.0ms	(cbrt (pow z 2))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	312	454
1	1628	396
2	5002	367

prune161.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

regimes101.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample425.0ms

Algorithm

intervals

Results

212.0ms

10676×

body

valid