Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	322×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	160	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

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: 0.0b

Counts

2 → 1

localize6.0ms

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))

series27.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify52.0ms

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

prune31.0ms

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

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))

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))

series71.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma x z (fma 5.0 z (* x y)))
35.0ms	(fma 5.0 z (* x y))

simplify100.0ms

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

prune54.0ms

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:

0.5b	(* (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)))

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:

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)))

series721.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))
186.0ms	(cbrt (fma 5.0 z (* x y)))
180.0ms	(cbrt (fma 5.0 z (* x y)))
177.0ms	(cbrt (fma 5.0 z (* x y)))

simplify107.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (98.0ms)

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

prune253.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	92	4	96

Merged error: 0.0b

Counts

96 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow (pow (sqrt (cbrt (fma 5.0 z (* x y)))) 4) 1) (cbrt (fma 5.0 z (* x y))))
0.5b	(pow (sqrt (cbrt (fma 5.0 z (* x y)))) 4)
0.6b	(cbrt (fma 5.0 z (* x y)))
0.6b	(cbrt (fma 5.0 z (* x y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

47×	`unpow-prod-down`
41×	`add-sqr-sqrt`
24×	`cbrt-prod`
17×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
16×	`sqrt-prod`
14×	`unswap-sqr`
13×	`add-exp-log`
7×	`pow1` `sqr-pow`
6×	`associate-r`
5×	`pow-exp` `prod-exp` `add-cbrt-cube`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `pow1/3`
2×	`sqrt-pow1`
1×	`pow1/2` `pow-prod-down` `*-commutative` `sqrt-pow2` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

11.0ms	(* (pow (pow (sqrt (cbrt (fma 5.0 z (* x y)))) 4) 1) (cbrt (fma 5.0 z (* x y))))
4.0ms	(pow (sqrt (cbrt (fma 5.0 z (* x y)))) 4)
1.0ms	(cbrt (fma 5.0 z (* x y)))
1.0ms	(cbrt (fma 5.0 z (* x y)))

series716.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (pow (pow (sqrt (cbrt (fma 5.0 z (* x y)))) 4) 1) (cbrt (fma 5.0 z (* x y))))
316.0ms	(pow (sqrt (cbrt (fma 5.0 z (* x y)))) 4)
183.0ms	(cbrt (fma 5.0 z (* x y)))
182.0ms	(cbrt (fma 5.0 z (* x y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	441	1215
1	1622	991
2	5001	855

prune362.0ms

Filtered

121 candidates to 88 candidates (72.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	119	6	125

Merged error: 0.0b

Counts

125 → 6

regimes92.0ms

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

sample528.0ms

Algorithm

intervals

Results

276.0ms	9818×	body	80	valid
13.0ms	107×	body	1280	valid
11.0ms	115×	body	640	valid
4.0ms	59×	body	320	valid
2.0ms	30×	body	160	valid