Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

340×

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)

rewrite11.0ms

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))
7.0ms	(* (* y z) z)

series88.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ x (* (* y z) z))
38.0ms	(* (* y z) z)

simplify107.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (103.0ms)

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

prune81.0ms

Filtered

42 candidates to 30 candidates (71.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	38	6	44

Merged error: 0.0b

Counts

44 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
21.3b	(cbrt (* (* y z) z))
21.3b	(cbrt (* (* y z) z))
21.3b	(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))

series379.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
89.0ms	(cbrt (* (* y z) z))
88.0ms	(cbrt (* (* y z) z))
90.0ms	(cbrt (* (* y z) z))

simplify97.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (88.0ms)

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

prune194.0ms

Filtered

78 candidates to 61 candidates (78.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
8.9b	(cbrt (* y z))
8.9b	(cbrt (* y z))
21.3b	(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))

series383.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt z)
63.0ms	(cbrt (* y z))
61.0ms	(cbrt (* y z))
88.0ms	(cbrt (* (* y z) z))

simplify96.0ms

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

prune220.0ms

Filtered

58 candidates to 51 candidates (87.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	57	7	64

Merged error: 0.0b

Counts

64 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

8.9b	(cbrt (* y z))
21.3b	(cbrt (* (* y z) z))
21.3b	(cbrt (* (* y z) z))
21.3b	(cbrt (* (* y z) z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

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

series334.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(cbrt (* y z))
90.0ms	(cbrt (* (* y z) z))
91.0ms	(cbrt (* (* y z) z))
90.0ms	(cbrt (* (* y z) z))

simplify59.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (50.0ms)

Iter	Nodes	Cost
0	137	273
1	285	247
2	683	215
3	1837	210
4	5002	208

prune240.0ms

Filtered

56 candidates to 51 candidates (91.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	55	8	63

Merged error: 0.0b

Counts

63 → 8

regimes171.0ms

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

sample427.0ms

Algorithm

intervals

Results

216.0ms

10621×

body

valid