Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

342×

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)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-l`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt` `associate-r`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out`
2×	`*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

2 → 45

Calls

2 calls:

9.0ms	(+ x (* (* y z) z))
7.0ms	(* (* y z) z)

series78.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ x (* (* y z) z))
26.0ms	(* (* y z) z)

simplify109.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	191	193
1	766	170
2	3839	170
3	5001	168

prune91.0ms

Filtered

51 candidates to 34 candidates (66.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	44	7	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	8	52

Merged error: 0.0b

Counts

52 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
18.6b	(cbrt (* (* y z) z))
18.6b	(cbrt (* (* y z) z))
18.6b	(cbrt (* (* y z) z))

rewrite58.0ms

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:

27.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
7.0ms	(cbrt (* (* y z) z))
7.0ms	(cbrt (* (* y z) z))
7.0ms	(cbrt (* (* y z) z))

series368.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
86.0ms	(cbrt (* (* y z) z))
86.0ms	(cbrt (* (* y z) z))
90.0ms	(cbrt (* (* y z) z))

simplify53.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 2 (36.0ms)

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

prune518.0ms

Filtered

222 candidates to 155 candidates (69.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	220	2	222
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	223	7	230

Merged error: 0b

Counts

230 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
8.7b	(cbrt (* y z))
8.7b	(cbrt (* y z))
18.6b	(cbrt (* (* y z) z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

49×	`cbrt-prod`
27×	`add-sqr-sqrt`
21×	`associate-l`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r`
6×	`unswap-sqr`
4×	`pow1` `add-exp-log` `pow1/3` `*-commutative` `add-cbrt-cube` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt z)
4.0ms	(cbrt (* y z))
4.0ms	(cbrt (* y z))
7.0ms	(cbrt (* (* y z) z))

series422.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt z)
61.0ms	(cbrt (* y z))
80.0ms	(cbrt (* y z))
101.0ms	(cbrt (* (* y z) z))

simplify53.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	238	459
1	581	433
2	1830	404
3	5002	387

prune303.0ms

Filtered

93 candidates to 74 candidates (79.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	93	7	100

Merged error: 0b

Counts

100 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (* y (* (cbrt z) (cbrt z))))
10.0b	(cbrt (* (cbrt z) z))
18.6b	(cbrt (* (* y z) z))
18.6b	(cbrt (* (* y z) z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

130×	`cbrt-prod`
77×	`add-sqr-sqrt`
48×	`associate-r`
45×	`associate-l`
29×	`add-cube-cbrt` `*-un-lft-identity`
27×	`unswap-sqr`
8×	`swap-sqr` `*-commutative`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 136

Calls

4 calls:

14.0ms	(cbrt (* y (* (cbrt z) (cbrt z))))
5.0ms	(cbrt (* (cbrt z) z))
10.0ms	(cbrt (* (* y z) z))
7.0ms	(cbrt (* (* y z) z))

series667.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt (* y (* (cbrt z) (cbrt z))))
291.0ms	(cbrt (* (cbrt z) z))
88.0ms	(cbrt (* (* y z) z))
90.0ms	(cbrt (* (* y z) z))

simplify45.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	437	1085
1	1292	1048
2	5002	999

prune489.0ms

Filtered

148 candidates to 107 candidates (72.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	148	7	155

Merged error: 0b

Counts

155 → 7

regimes129.0ms

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

sample412.0ms

Algorithm

intervals

Results

209.0ms

10482×

body

valid