Details

sample25.0ms

Algorithm

intervals

Results

15.0ms

356×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	9	3
1	11	3
2	13	2
3	14	2
4	14	2

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ y 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 (/ y z) y x)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(fma (/ y z) y x)

simplify44.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	27	44
1	68	39
2	221	39
3	820	39
4	5002	39

prune39.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (fma (/ y 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 (/ y z) y x)) (cbrt (fma (/ y z) y x)))
0.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))

series398.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
99.0ms	(cbrt (fma (/ y z) y x))
100.0ms	(cbrt (fma (/ y z) y x))
100.0ms	(cbrt (fma (/ y z) y x))

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	157	649
1	570	598
2	2522	552
3	5001	529

prune257.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`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 → 52

Calls

4 calls:

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

series400.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (fma (/ y z) y x))
100.0ms	(cbrt (fma (/ y z) y x))
100.0ms	(cbrt (fma (/ y z) y x))
100.0ms	(cbrt (fma (/ y z) y x))

simplify71.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (66.0ms)

Iter	Nodes	Cost
0	74	364
1	152	336
2	488	328
3	1903	312
4	5001	276

prune223.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`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 → 52

Calls

4 calls:

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

series408.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (fma (/ y z) y x))
101.0ms	(cbrt (fma (/ y z) y x))
102.0ms	(cbrt (fma (/ y z) y x))
102.0ms	(cbrt (fma (/ y z) y x))

simplify72.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (66.0ms)

Iter	Nodes	Cost
0	74	364
1	152	336
2	488	328
3	1903	312
4	5001	276

prune245.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes203.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	2

end0.0ms

sample688.0ms

Algorithm

intervals

Results

459.0ms

10797×

body

valid