Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

350×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune7.0ms

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)

rewrite26.0ms

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:

6.0ms	(+ x (* (* y z) z))
17.0ms	(* (* y z) z)

series86.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ x (* (* y z) z))
37.0ms	(* (* y z) z)

simplify127.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (119.0ms)

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

prune68.0ms

Filtered

42 candidates to 30 candidates (71.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	39	5	44

Merged error: 0.0b

Counts

44 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
21.6b	(cbrt (* (* y z) z))
21.6b	(cbrt (* (* y z) z))
21.6b	(cbrt (* (* y z) z))

rewrite17.0ms

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:

5.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
3.0ms	(cbrt (* (* y z) z))
3.0ms	(cbrt (* (* y z) z))
4.0ms	(cbrt (* (* y z) z))

series364.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
85.0ms	(cbrt (* (* y z) z))
85.0ms	(cbrt (* (* y z) z))
88.0ms	(cbrt (* (* y z) z))

simplify91.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (85.0ms)

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

prune166.0ms

Filtered

78 candidates to 61 candidates (78.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	76	7	83

Merged error: 0.0b

Counts

83 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
12.0b	(cbrt (* y z))
21.6b	(cbrt (* (* y z) z))
21.6b	(cbrt (* (* y z) z))

rewrite11.0ms

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))
3.0ms	(cbrt (* (* y z) z))
4.0ms	(cbrt (* (* y z) z))

series404.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt z)
62.0ms	(cbrt (* y z))
85.0ms	(cbrt (* (* y z) z))
85.0ms	(cbrt (* (* y z) z))

simplify94.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	168	244
1	355	222
2	1046	196
3	3611	192
4	5001	192

prune167.0ms

Filtered

58 candidates to 52 candidates (89.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	59	6	65

Merged error: 0.0b

Counts

65 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt z) (cbrt z)))
12.0b	(cbrt (* y z))
21.6b	(cbrt (* (* y z) z))
21.6b	(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:

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

series506.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(cbrt (* (cbrt z) (cbrt z)))
64.0ms	(cbrt (* y z))
88.0ms	(cbrt (* (* y z) z))
87.0ms	(cbrt (* (* y z) z))

simplify41.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	180	274
1	385	246
2	1234	220
3	5001	214

prune206.0ms

Filtered

56 candidates to 52 candidates (92.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	56	6	62

Merged error: 0.0b

Counts

62 → 6

regimes133.0ms

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

200.0ms

10611×

body

valid