Details

sample35.0ms

Algorithm

intervals

Results

13.0ms	269×	body	80	valid
7.0ms	249×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b	(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:

0.0ms

(fma (sqrt z) y x)

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(fma (sqrt z) y x)

simplify61.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (59.0ms)

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

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

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))

rewrite9.0ms

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)))
0.0ms	(cbrt (fma (sqrt z) y x))
0.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))

series1.2s

Counts

4 → 12

Calls

4 calls:

234.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
323.0ms	(cbrt (fma (sqrt z) y x))
314.0ms	(cbrt (fma (sqrt z) y x))
325.0ms	(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

prune305.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

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)) (cbrt (fma (sqrt z) y x))))
0.6b	(cbrt (cbrt (fma (sqrt z) y x)))

rewrite5.0ms

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:

0.0ms	(cbrt (fma (sqrt z) y x))
0.0ms	(cbrt (fma (sqrt z) y x))
3.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
1.0ms	(cbrt (cbrt (fma (sqrt z) y x)))

series1.2s

Counts

4 → 12

Calls

4 calls:

306.0ms	(cbrt (fma (sqrt z) y x))
324.0ms	(cbrt (fma (sqrt z) y x))
246.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
320.0ms	(cbrt (cbrt (fma (sqrt z) y x)))

simplify132.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (125.0ms)

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

prune312.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (fma (sqrt z) y x)))
0.6b	(cbrt (cbrt (fma (sqrt z) y x)))
0.6b	(cbrt (cbrt (fma (sqrt z) y x)))
0.6b	(cbrt (cbrt (fma (sqrt z) y x)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
12×	`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 → 64

Calls

4 calls:

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

series1.4s

Counts

4 → 12

Calls

4 calls:

304.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
312.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
506.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
320.0ms	(cbrt (cbrt (fma (sqrt z) y x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	172	776
1	465	728
2	1794	716
3	5001	680

prune354.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

regimes161.0ms

Accuracy

0% (0.0b 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

sample1.0s

Algorithm

intervals

Results

416.0ms	8572×	body	80	valid
255.0ms	8491×	body	80	nan