Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

344×

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* y z) z)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* (* y z) z)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* (* y z) z)

simplify59.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	97	78
1	468	63
2	2089	63
3	5001	62

prune33.0ms

Filtered

23 candidates to 13 candidates (56.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	20	5	25

Merged error: 0.0b

Counts

25 → 5

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)

series743.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt z) (cbrt z))
182.0ms	(cbrt z)
191.0ms	(cbrt z)
171.0ms	(cbrt z)

simplify89.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (84.0ms)

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

prune210.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

6.1b	(fma y (* z z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma y (* z z) x)

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(fma y (* z z) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	42
1	75	37
2	232	37
3	893	37
4	5001	37

prune29.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	13	6	19

Merged error: 0.0b

Counts

19 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* y z) (cbrt (pow z 2))) (cbrt z))
0.2b	(* (* y z) (cbrt (pow z 2)))
0.6b	(cbrt z)
24.9b	(cbrt (pow z 2))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
18×	`pow1` `add-exp-log`
17×	`associate-r`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative` `unpow2` `sqr-pow`

Counts

4 → 85

Calls

4 calls:

12.0ms	(* (* (* y z) (cbrt (pow z 2))) (cbrt z))
7.0ms	(* (* y z) (cbrt (pow z 2)))
1.0ms	(cbrt z)
2.0ms	(cbrt (pow z 2))

series457.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* (* y z) (cbrt (pow z 2))) (cbrt z))
78.0ms	(* (* y z) (cbrt (pow z 2)))
169.0ms	(cbrt z)
170.0ms	(cbrt (pow z 2))

simplify49.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	320	488
1	1636	430
2	5001	401

prune194.0ms

Filtered

97 candidates to 69 candidates (71.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	96	7	103

Merged error: 0.0b

Counts

103 → 7

regimes126.0ms

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

sample506.0ms

Algorithm

intervals

Results

270.0ms

10637×

body

valid