Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	272×	body	80	valid
6.0ms	241×	body	80	nan

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	5
1	51	4
2	86	4
3	126	4
4	151	4
5	169	4
6	185	4
7	187	4
8	187	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (sqrt z) y 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 (sqrt z) y x)

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(fma (sqrt z) y x)

simplify57.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (55.0ms)

Iter	Nodes	Cost
0	70	58
1	176	50
2	528	50
3	1813	46
4	5001	43

prune36.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0.1b

Counts

14 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
0.5b	(cbrt (fma (sqrt z) y x))
0.5b	(cbrt (fma (sqrt z) y x))
0.5b	(cbrt (fma (sqrt z) y x))

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:

5.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))

series1.1s

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
306.0ms	(cbrt (fma (sqrt z) y x))
297.0ms	(cbrt (fma (sqrt z) y x))
293.0ms	(cbrt (fma (sqrt z) y x))

simplify41.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	318	868
1	1125	805
2	5001	760

prune280.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (sqrt z) y x))
0.5b	(cbrt (fma (sqrt z) y x))
0.5b	(cbrt (cbrt (fma (sqrt z) y x)))
0.5b	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`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 → 53

Calls

4 calls:

1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
2.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
4.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))

series1.2s

Counts

4 → 12

Calls

4 calls:

321.0ms	(cbrt (fma (sqrt z) y x))
308.0ms	(cbrt (fma (sqrt z) y x))
316.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
233.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))

simplify128.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	391	677
1	1201	625
2	4752	615
3	5001	607

prune306.0ms

Filtered

65 candidates to 61 candidates (93.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	63	9	72

Merged error: 0.0b

Counts

72 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (fma (sqrt z) y x)))
0.5b	(cbrt (cbrt (fma (sqrt z) y x)))
0.5b	(cbrt (* (* (cbrt (cbrt (fma (sqrt z) y x))) (cbrt (cbrt (fma (sqrt z) y x)))) (cbrt (cbrt (fma (sqrt z) y x)))))
0.5b	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
8×	`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`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 55

Calls

4 calls:

2.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
2.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
9.0ms	(cbrt (* (* (cbrt (cbrt (fma (sqrt z) y x))) (cbrt (cbrt (fma (sqrt z) y x)))) (cbrt (cbrt (fma (sqrt z) y x)))))
4.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))

series1.2s

Counts

4 → 12

Calls

4 calls:

332.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
344.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
311.0ms	(cbrt (* (* (cbrt (cbrt (fma (sqrt z) y x))) (cbrt (cbrt (fma (sqrt z) y x)))) (cbrt (cbrt (fma (sqrt z) y x)))))
242.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))

simplify98.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	296	860
1	872	782
2	3394	664
3	5001	632

prune314.0ms

Filtered

67 candidates to 63 candidates (94.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	67	9	76

Merged error: 0.0b

Counts

76 → 9

regimes177.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample768.0ms

Algorithm

intervals

Results

230.0ms	8522×	body	80	valid
207.0ms	8541×	body	80	nan