Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

342×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	15	2
2	16	2
3	16	2

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.0b

Counts

2 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* y z) z)

rewrite8.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

7.0ms

(* (* y z) z)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* (* y z) z)

simplify59.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	129	122
1	510	101
2	2379	101
3	5002	98

prune49.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	32	6	38

Merged error: 0.0b

Counts

38 → 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×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series721.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt z) (cbrt z))
180.0ms	(cbrt z)
174.0ms	(cbrt z)
174.0ms	(cbrt z)

simplify88.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3251	261
3	5002	258

prune174.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	95	7	102

Merged error: 0.0b

Counts

102 → 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))

rewrite60.0ms

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×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 218

Calls

4 calls:

27.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
8.0ms	(cbrt (* (* y z) z))
7.0ms	(cbrt (* (* y z) z))
7.0ms	(cbrt (* (* y z) z))

series396.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
92.0ms	(cbrt (* (* y z) z))
92.0ms	(cbrt (* (* y z) z))
95.0ms	(cbrt (* (* y z) z))

simplify59.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	396	1938
1	1421	1858
2	5001	1722

prune462.0ms

Filtered

230 candidates to 163 candidates (70.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	227	3	230
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	229	8	237

Merged error: 0b

Counts

237 → 8

localize17.0ms

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))

rewrite31.0ms

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` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 122

Calls

4 calls:

4.0ms	(cbrt (* y z))
8.0ms	(cbrt (* (cbrt (* y z)) z))
7.0ms	(cbrt (* (* y z) z))
8.0ms	(cbrt (* (* y z) z))

series369.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(cbrt (* y z))
107.0ms	(cbrt (* (cbrt (* y z)) z))
94.0ms	(cbrt (* (* y z) z))
99.0ms	(cbrt (* (* y z) z))

simplify61.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	342	831
1	781	791
2	1929	759
3	5001	732

prune400.0ms

Filtered

134 candidates to 108 candidates (80.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	134	8	142

Merged error: 0b

Counts

142 → 8

regimes151.0ms

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

sample409.0ms

Algorithm

intervals

Results

209.0ms

10614×

body

valid