Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	274×	body	80	valid
6.0ms	235×	body	80	nan

simplify20.0ms

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: 0.1b

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:

0.0ms

(fma (sqrt z) y x)

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(fma (sqrt z) y x)

simplify65.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (63.0ms)

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

prune45.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite10.0ms

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

series1.2s

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
329.0ms	(cbrt (fma (sqrt z) y x))
320.0ms	(cbrt (fma (sqrt z) y x))
323.0ms	(cbrt (fma (sqrt z) y x))

simplify45.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (35.0ms)

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

prune302.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (sqrt z) y x))
0.5b	(cbrt (fma (sqrt z) y x))
0.6b	(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:

320.0ms	(cbrt (fma (sqrt z) y x))
317.0ms	(cbrt (fma (sqrt z) y x))
249.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
334.0ms	(cbrt (cbrt (fma (sqrt z) y x)))

simplify134.0ms

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

prune313.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
6×	`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 → 49

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
248.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
234.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
317.0ms	(cbrt (cbrt (fma (sqrt z) y x)))

simplify98.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	285	767
1	860	695
2	3379	687
3	5002	655

prune313.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes160.0ms

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

sample821.0ms

Algorithm

intervals

Results

242.0ms	8538×	body	80	valid
220.0ms	8558×	body	80	nan