Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

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: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-def` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ x (* (* y z) z))
5.0ms	(* (* y z) z)

series89.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ x (* (* y z) z))
36.0ms	(* (* y z) z)

simplify104.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	167	152
1	756	130
2	3750	130
3	5002	129

prune82.0ms

Filtered

42 candidates to 30 candidates (71.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	37	7	44

Merged error: 0.0b

Counts

44 → 7

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))

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×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `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 → 66

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))

series377.0ms

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))

simplify89.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	211	461
1	684	410
2	3048	353
3	5001	345

prune196.0ms

Filtered

78 candidates to 61 candidates (78.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

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`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

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

series710.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt z) (cbrt z))
170.0ms	(cbrt z)
173.0ms	(cbrt z)
172.0ms	(cbrt z)

simplify85.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune235.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	93	7	100

Merged error: 0.0b

Counts

100 → 7

localize17.0ms

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))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 46

Calls

4 calls:

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

series417.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt z)
81.0ms	(cbrt (* y z))
62.0ms	(cbrt (* y z))
93.0ms	(cbrt (* (* y z) z))

simplify98.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	168	229
1	355	209
2	1046	183
3	3611	178
4	5001	178

prune199.0ms

Filtered

58 candidates to 51 candidates (87.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	57	8	65

Merged error: 0.0b

Counts

65 → 8

regimes146.0ms

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

sample426.0ms

Algorithm

intervals

Results

217.0ms

10482×

body

valid