Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	329×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid

simplify11.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

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:

1.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify53.0ms

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

prune30.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0.0b

Counts

14 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x z (fma 5.0 z (* x y)))
0.1b	(fma 5.0 z (* x y))

rewrite2.0ms

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:

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

series78.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(fma x z (fma 5.0 z (* x y)))
39.0ms	(fma 5.0 z (* x y))

simplify103.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

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

prune59.0ms

Filtered

26 candidates to 21 candidates (80.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (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)))

rewrite12.0ms

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 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)))

series809.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))
205.0ms	(cbrt (fma 5.0 z (* x y)))
205.0ms	(cbrt (fma 5.0 z (* x y)))
202.0ms	(cbrt (fma 5.0 z (* x y)))

simplify116.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	271	726
1	833	671
2	3661	617
3	5001	594

prune265.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	91	5	96

Merged error: 0.0b

Counts

96 → 5

localize22.0ms

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)))
0.9b	(pow (cbrt (cbrt (fma 5.0 z (* x y)))) (+ 3 1))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow-unpow` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-pow`
1×	`unpow-prod-up` `pow-to-exp` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

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)))
6.0ms	(pow (cbrt (cbrt (fma 5.0 z (* x y)))) (+ 3 1))

series1.1s

Counts

4 → 12

Calls

4 calls:

397.0ms	(cbrt (fma 5.0 z (* x y)))
193.0ms	(cbrt (fma 5.0 z (* x y)))
204.0ms	(cbrt (fma 5.0 z (* x y)))
335.0ms	(pow (cbrt (cbrt (fma 5.0 z (* x y)))) (+ 3 1))

simplify54.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	332	628
1	1170	558
2	5002	516

prune300.0ms

Filtered

79 candidates to 66 candidates (83.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

regimes88.0ms

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

sample458.0ms

Algorithm

intervals

Results

223.0ms	9789×	body	80	valid
11.0ms	114×	body	1280	valid
7.0ms	64×	body	320	valid
7.0ms	82×	body	640	valid
2.0ms	40×	body	160	valid