Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	316×	body	80	valid
1.0ms	7×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	3
1	34	3
2	53	3
3	63	3
4	64	3
5	64	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (+ y z) (* z 5.0))

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:

0.0ms

(fma x (+ y z) (* z 5.0))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(fma x (+ y z) (* z 5.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	36	59
1	74	52
2	288	52
3	1708	52
4	5001	52

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x z (fma 5.0 z (* x y)))
0.0b	(fma 5.0 z (* x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

0.0ms	(fma x z (fma 5.0 z (* x y)))
0.0ms	(fma 5.0 z (* x y))

series74.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma x z (fma 5.0 z (* x y)))
38.0ms	(fma 5.0 z (* x y))

simplify102.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	40	100
1	122	88
2	579	88
3	3524	88
4	5001	88

prune71.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))
0.6b	(cbrt (fma 5.0 z (* x y)))
0.6b	(cbrt (fma 5.0 z (* x y)))
0.6b	(cbrt (fma 5.0 z (* x y)))

rewrite9.0ms

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 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))
0.0ms	(cbrt (fma 5.0 z (* x y)))
0.0ms	(cbrt (fma 5.0 z (* x y)))
1.0ms	(cbrt (fma 5.0 z (* x y)))

series779.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))
196.0ms	(cbrt (fma 5.0 z (* x y)))
197.0ms	(cbrt (fma 5.0 z (* x y)))
194.0ms	(cbrt (fma 5.0 z (* x y)))

simplify108.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	271	726
1	833	671
2	3661	604
3	5001	580

prune303.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma 5.0 z (* x y)))
0.6b	(cbrt (fma 5.0 z (* x y)))
0.6b	(cbrt (fma 5.0 z (* x y)))
0.6b	(cbrt (fma 5.0 z (* x y)))

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 5.0 z (* x y)))
0.0ms	(cbrt (fma 5.0 z (* x y)))
0.0ms	(cbrt (fma 5.0 z (* x y)))
1.0ms	(cbrt (fma 5.0 z (* x y)))

series792.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt (fma 5.0 z (* x y)))
200.0ms	(cbrt (fma 5.0 z (* x y)))
199.0ms	(cbrt (fma 5.0 z (* x y)))
196.0ms	(cbrt (fma 5.0 z (* x y)))

simplify115.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (109.0ms)

Iter	Nodes	Cost
0	138	440
1	314	408
2	947	384
3	3718	352
4	5001	344

prune290.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes110.0ms

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

sample453.0ms

Algorithm

intervals

Results

222.0ms	9874×	body	80	valid
9.0ms	96×	body	1280	valid
9.0ms	120×	body	640	valid
4.0ms	64×	body	320	valid
2.0ms	41×	body	160	valid