Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

342×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* y z) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-l`
12×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unswap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative`
1×	`add-log-exp`

Counts

1 → 31

Calls

1 calls:

13.0ms

(* (* y z) z)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* (* y z) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	127	116
1	508	95
2	2375	95
3	5001	92

prune47.0ms

Filtered

34 candidates to 21 candidates (61.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	6	35

Merged error: 0.0b

Counts

35 → 6

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)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series725.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt z) (cbrt z))
173.0ms	(cbrt z)
177.0ms	(cbrt z)
175.0ms	(cbrt z)

simplify88.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune158.0ms

Filtered

88 candidates to 64 candidates (72.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	87	7	94

Merged error: 0.0b

Counts

94 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
19.5b	(cbrt (* (* y z) z))
19.5b	(cbrt (* (* y z) z))
19.5b	(cbrt (* (* y z) z))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

194×	`cbrt-prod`
148×	`add-sqr-sqrt`
144×	`associate-l`
68×	`unswap-sqr`
67×	`associate-r`
55×	`*-un-lft-identity`
43×	`add-cube-cbrt`
33×	`swap-sqr`
19×	`*-commutative`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`cbrt-unprod` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 210

Calls

4 calls:

30.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
8.0ms	(cbrt (* (* y z) z))
8.0ms	(cbrt (* (* y z) z))
8.0ms	(cbrt (* (* y z) z))

series408.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
95.0ms	(cbrt (* (* y z) z))
97.0ms	(cbrt (* (* y z) z))
97.0ms	(cbrt (* (* y z) z))

simplify58.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	386	1910
1	1380	1830
2	5001	1682

prune436.0ms

Filtered

222 candidates to 155 candidates (69.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	219	3	222
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	221	8	229

Merged error: 0b

Counts

229 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

6.2b	(cbrt (* y z))
10.0b	(cbrt (* (cbrt (* y z)) z))
19.5b	(cbrt (* (* y z) z))
19.5b	(cbrt (* (* y z) z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
51×	`associate-l`
48×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
21×	`associate-r`
14×	`unswap-sqr`
7×	`*-commutative`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 114

Calls

4 calls:

4.0ms	(cbrt (* y z))
8.0ms	(cbrt (* (cbrt (* y z)) z))
8.0ms	(cbrt (* (* y z) z))
8.0ms	(cbrt (* (* y z) z))

series364.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(cbrt (* y z))
111.0ms	(cbrt (* (cbrt (* y z)) z))
93.0ms	(cbrt (* (* y z) z))
94.0ms	(cbrt (* (* y z) z))

simplify64.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	330	808
1	745	768
2	1830	727
3	5001	700

prune370.0ms

Filtered

126 candidates to 100 candidates (79.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	126	8	134

Merged error: 0b

Counts

134 → 8

regimes157.0ms

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

sample398.0ms

Algorithm

intervals

Results

202.0ms

10614×

body

valid