Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

350×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	3
1	41	3
2	72	3
3	81	3
4	81	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x x (* x y))

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 x x (* x y))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(fma x x (* x y))

simplify48.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	43
1	66	38
2	262	38
3	1042	38
4	5002	38

prune25.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x x (* x y))) (cbrt (fma x x (* x y))))
7.7b	(cbrt (fma x x (* x y)))
7.7b	(cbrt (fma x x (* x y)))
7.7b	(cbrt (fma x x (* x y)))

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:

8.0ms	(* (cbrt (fma x x (* x y))) (cbrt (fma x x (* x y))))
0.0ms	(cbrt (fma x x (* x y)))
0.0ms	(cbrt (fma x x (* x y)))
1.0ms	(cbrt (fma x x (* x y)))

series748.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt (fma x x (* x y))) (cbrt (fma x x (* x y))))
180.0ms	(cbrt (fma x x (* x y)))
182.0ms	(cbrt (fma x x (* x y)))
181.0ms	(cbrt (fma x x (* x y)))

simplify121.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 4 (114.0ms)

Iter	Nodes	Cost
0	132	610
1	424	559
2	1512	505
3	4133	500
4	5001	475

prune222.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

6.9b	(sqrt (fma x x (* x y)))
6.9b	(sqrt (fma x x (* x y)))
7.7b	(cbrt (fma x x (* x y)))
7.7b	(cbrt (fma x x (* x y)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 56

Calls

4 calls:

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

series505.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sqrt (fma x x (* x y)))
67.0ms	(sqrt (fma x x (* x y)))
185.0ms	(cbrt (fma x x (* x y)))
185.0ms	(cbrt (fma x x (* x y)))

simplify152.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	115	322
1	280	294
2	911	284
3	4004	280
4	5001	280

prune232.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

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	8	3
1	8	3

end0.0ms

sample411.0ms

Algorithm

intervals

Results

233.0ms

11191×

body

valid