Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

350×

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

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: 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)

rewrite11.0ms

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:

3.0ms	(+ x (* (* y z) z))
7.0ms	(* (* y z) z)

series89.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ x (* (* y z) z))
38.0ms	(* (* y z) z)

simplify106.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (102.0ms)

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

prune59.0ms

Filtered

35 candidates to 23 candidates (65.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Merged error: 0.0b

Counts

36 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
21.6b	(cbrt (* (* y z) z))
21.6b	(cbrt (* (* y z) z))
21.6b	(cbrt (* (* y z) z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
4.0ms	(cbrt (* (* y z) z))
4.0ms	(cbrt (* (* y z) z))
4.0ms	(cbrt (* (* y z) z))

series376.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
88.0ms	(cbrt (* (* y z) z))
88.0ms	(cbrt (* (* y z) z))
92.0ms	(cbrt (* (* y z) z))

simplify88.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	201	433
1	643	382
2	2882	313
3	5002	305

prune148.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	68	7	75

Merged error: 0.0b

Counts

75 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
12.0b	(cbrt (* y z))
21.6b	(cbrt (* (* y z) z))
21.6b	(cbrt (* (* y z) z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 38

Calls

4 calls:

1.0ms	(cbrt z)
2.0ms	(cbrt (* y z))
4.0ms	(cbrt (* (* y z) z))
4.0ms	(cbrt (* (* y z) z))

series417.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt z)
66.0ms	(cbrt (* y z))
89.0ms	(cbrt (* (* y z) z))
91.0ms	(cbrt (* (* y z) z))

simplify92.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 4 (88.0ms)

Iter	Nodes	Cost
0	159	224
1	331	202
2	970	170
3	3370	166
4	5001	161

prune152.0ms

Filtered

50 candidates to 43 candidates (86.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	51	6	57

Merged error: 0.0b

Counts

57 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt z) (cbrt z)))
12.0b	(cbrt (* y z))
21.6b	(cbrt (* (* y z) z))
21.6b	(cbrt (* (* y z) z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

4.0ms	(cbrt (* (cbrt z) (cbrt z)))
2.0ms	(cbrt (* y z))
4.0ms	(cbrt (* (* y z) z))
4.0ms	(cbrt (* (* y z) z))

series509.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(cbrt (* (cbrt z) (cbrt z)))
61.0ms	(cbrt (* y z))
91.0ms	(cbrt (* (* y z) z))
92.0ms	(cbrt (* (* y z) z))

simplify138.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	171	248
1	361	220
2	1156	188
3	4859	182
4	5001	182

prune173.0ms

Filtered

48 candidates to 44 candidates (91.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	48	6	54

Merged error: 0.0b

Counts

54 → 6

regimes133.0ms

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

sample413.0ms

Algorithm

intervals

Results

212.0ms

10611×

body

valid