Details

sample18.0ms

Algorithm

intervals

Results

6.0ms	322×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid

simplify10.0ms

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

prune7.0ms

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 (+ 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))

series25.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

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

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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))

series64.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(fma x z (fma 5.0 z (* x y)))
33.0ms	(fma 5.0 z (* x y))

simplify99.0ms

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

prune66.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite14.0ms

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:

10.0ms	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))
1.0ms	(cbrt (fma 5.0 z (* x y)))
1.0ms	(cbrt (fma 5.0 z (* x y)))
1.0ms	(cbrt (fma 5.0 z (* x y)))

series686.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))
169.0ms	(cbrt (fma 5.0 z (* x y)))
172.0ms	(cbrt (fma 5.0 z (* x y)))
170.0ms	(cbrt (fma 5.0 z (* x y)))

simplify119.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (110.0ms)

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

prune279.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma 5.0 z (* x y)))
0.6b	(cbrt (cbrt (fma 5.0 z (* x y))))
0.6b	(cbrt (* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y)))))
0.9b	(pow (cbrt (cbrt (fma 5.0 z (* x y)))) 4)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
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`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt (fma 5.0 z (* x y)))
1.0ms	(cbrt (cbrt (fma 5.0 z (* x y))))
5.0ms	(cbrt (* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y)))))
4.0ms	(pow (cbrt (cbrt (fma 5.0 z (* x y)))) 4)

series839.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (fma 5.0 z (* x y)))
175.0ms	(cbrt (cbrt (fma 5.0 z (* x y))))
179.0ms	(cbrt (* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y)))))
302.0ms	(pow (cbrt (cbrt (fma 5.0 z (* x y)))) 4)

simplify145.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	478	682
1	1345	632
2	4748	584
3	5001	574

prune337.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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

sample495.0ms

Algorithm

intervals

Results

208.0ms	9847×	body	80	valid
10.0ms	107×	body	1280	valid
7.0ms	97×	body	640	valid
3.0ms	62×	body	320	valid
1.0ms	29×	body	160	valid