Details

sample21.0ms

Algorithm

intervals

Results

5.0ms	234×	body	80	valid
3.0ms	12×	body	160	valid
2.0ms	26×	body	640	valid
2.0ms	17×	body	1280	valid
1.0ms	14×	body	320	valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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: 16.2b

localize6.0ms

Local error

Found 1 expressions with local error:

3.5b	(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)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify60.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (18.0ms)

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

prune43.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

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)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(fma y (- x 1.0) 1.0)

simplify52.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (5.0ms)

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

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

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

rewrite13.0ms

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:

1.0ms	(cbrt (fma y (- x 1.0) 1.0))
1.0ms	(cbrt (fma y (- x 1.0) 1.0))
2.0ms	(cbrt (fma y (- x 1.0) 1.0))
7.0ms	(* (cbrt (fma y (- x 1.0) 1.0)) (cbrt (fma y (- x 1.0) 1.0)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt (fma y (- x 1.0) 1.0))
109.0ms	(cbrt (fma y (- x 1.0) 1.0))
111.0ms	(cbrt (fma y (- x 1.0) 1.0))
163.0ms	(* (cbrt (fma y (- x 1.0) 1.0)) (cbrt (fma y (- x 1.0) 1.0)))

simplify142.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	287	847
1	959	786
2	4304	663
3	5001	617

prune256.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y (- x 1.0) 1.0)
0.1b	(pow (fma y (- x 1.0) 1.0) 3)
23.2b	(cbrt (pow (fma y (- x 1.0) 1.0) 3))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

1.0ms	(fma y (- x 1.0) 1.0)
2.0ms	(pow (fma y (- x 1.0) 1.0) 3)
3.0ms	(cbrt (pow (fma y (- x 1.0) 1.0) 3))

series101.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(fma y (- x 1.0) 1.0)
51.0ms	(pow (fma y (- x 1.0) 1.0) 3)
25.0ms	(cbrt (pow (fma y (- x 1.0) 1.0) 3))

simplify220.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (214.0ms)

Iter	Nodes	Cost
0	170	308
1	665	278
2	4706	270
3	5001	267

prune128.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

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

sample439.0ms

Algorithm

intervals

Results

143.0ms	6997×	body	80	valid
62.0ms	814×	body	640	valid
34.0ms	388×	body	1280	valid
33.0ms	616×	body	320	valid
12.0ms	328×	body	160	valid