Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	225×	body	80	valid
1.0ms	19×	body	640	valid
1.0ms	14×	body	1280	valid
1.0ms	21×	body	320	valid
1.0ms	16×	body	160	valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	4
1	29	3
2	84	3
3	281	3
4	786	3
5	1465	3
6	3536	3
7	5002	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.0b

localize5.0ms

Local error

Found 1 expressions with local error:

5.3b	(fma (- 1.0 y) (- 1.0 x) 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 (- 1.0 y) (- 1.0 x) x)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(fma (- 1.0 y) (- 1.0 x) x)

simplify48.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (13.0ms)

Iter	Nodes	Cost
0	35	63
1	84	53
2	298	53
3	1476	50
4	5001	50

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (- x 1.0) 1.0)

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 (- x 1.0) 1.0)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(fma y (- x 1.0) 1.0)

simplify46.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	50
1	67	39
2	280	39
3	1533	39
4	5002	39

prune31.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma y (- x 1.0) 1.0)) (cbrt (fma y (- x 1.0) 1.0)))
0.3b	(cbrt (fma y (- x 1.0) 1.0))
0.3b	(cbrt (fma y (- x 1.0) 1.0))
0.3b	(cbrt (fma y (- x 1.0) 1.0))

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 y (- x 1.0) 1.0)) (cbrt (fma y (- x 1.0) 1.0)))
1.0ms	(cbrt (fma y (- x 1.0) 1.0))
1.0ms	(cbrt (fma y (- x 1.0) 1.0))
1.0ms	(cbrt (fma y (- x 1.0) 1.0))

series485.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (fma y (- x 1.0) 1.0)) (cbrt (fma y (- x 1.0) 1.0)))
108.0ms	(cbrt (fma y (- x 1.0) 1.0))
108.0ms	(cbrt (fma y (- x 1.0) 1.0))
108.0ms	(cbrt (fma y (- x 1.0) 1.0))

simplify125.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	287	847
1	951	786
2	4297	663
3	5001	617

prune252.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (fma y (- x 1.0) 1.0))
0.3b	(cbrt (fma y (- x 1.0) 1.0))
0.4b	(pow (cbrt (fma y (- x 1.0) 1.0)) 6)
17.4b	(cbrt (pow (cbrt (fma y (- x 1.0) 1.0)) 6))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt (fma y (- x 1.0) 1.0))
1.0ms	(cbrt (fma y (- x 1.0) 1.0))
3.0ms	(pow (cbrt (fma y (- x 1.0) 1.0)) 6)
3.0ms	(cbrt (pow (cbrt (fma y (- x 1.0) 1.0)) 6))

series573.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt (fma y (- x 1.0) 1.0))
108.0ms	(cbrt (fma y (- x 1.0) 1.0))
199.0ms	(pow (cbrt (fma y (- x 1.0) 1.0)) 6)
156.0ms	(cbrt (pow (cbrt (fma y (- x 1.0) 1.0)) 6))

simplify48.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	370	759
1	1192	717
2	5001	642

prune477.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	2

end0.0ms

sample434.0ms

Algorithm

intervals

Results

142.0ms	6994×	body	80	valid
62.0ms	839×	body	640	valid
39.0ms	401×	body	1280	valid
32.0ms	594×	body	320	valid
12.0ms	314×	body	160	valid