Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

327×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune10.0ms

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

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:

5.0ms	(+ x (* (* y z) z))
11.0ms	(* (* y z) z)

series132.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(+ x (* (* y z) z))
51.0ms	(* (* y z) z)

simplify113.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (106.0ms)

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

prune83.0ms

Filtered

42 candidates to 30 candidates (71.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

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)

series682.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (cbrt z) (cbrt z))
164.0ms	(cbrt z)
168.0ms	(cbrt z)
165.0ms	(cbrt z)

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (82.0ms)

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

prune178.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	92	5	97

Merged error: 0.0b

Counts

97 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

6.7b	(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)

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(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

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	13	5	18

Merged error: 0.0b

Counts

18 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* y z) (cbrt (pow z 2))) (cbrt z))
0.3b	(* (* y z) (cbrt (pow z 2)))
0.6b	(cbrt z)
26.4b	(cbrt (pow z 2))

rewrite21.0ms

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:

9.0ms	(* (* (* 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))

series456.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* (* y z) (cbrt (pow z 2))) (cbrt z))
76.0ms	(* (* y z) (cbrt (pow z 2)))
178.0ms	(cbrt z)
168.0ms	(cbrt (pow z 2))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

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

prune185.0ms

Filtered

97 candidates to 69 candidates (71.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

regimes99.0ms

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

sample413.0ms

Algorithm

intervals

Results

211.0ms

10676×

body

valid