Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	324×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify14.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 2

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))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify59.0ms

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

prune34.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

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))

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))

series84.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(fma x z (fma 5.0 z (* x y)))
41.0ms	(fma 5.0 z (* x y))

simplify109.0ms

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

prune62.0ms

Filtered

26 candidates to 21 candidates (80.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	25	5	30

Merged error: 0.0b

Counts

30 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

6.0ms	(* x (+ y z))
7.0ms	(+ (* x (+ y z)) (* z 5.0))

series63.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* x (+ y z))
31.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify132.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	227	194
1	1011	179
2	4711	179
3	5001	179

prune80.0ms

Filtered

47 candidates to 35 candidates (74.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	47	5	52

Merged error: 0.0b

Counts

52 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

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

series732.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
172.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
163.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
170.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify119.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	246	863
1	804	780
2	3786	664
3	5001	664

prune230.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

regimes90.0ms

Accuracy

0% (0.0b 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	8	3
1	8	3

end0.0ms

sample492.0ms

Algorithm

intervals

Results

253.0ms	9819×	body	80	valid
13.0ms	111×	body	1280	valid
11.0ms	115×	body	640	valid
8.0ms	68×	body	320	valid
2.0ms	38×	body	160	valid

Details

sample19.0ms

simplify14.0ms

prune7.0ms

localize6.0ms

rewrite1.0ms

series33.0ms

simplify59.0ms

prune34.0ms

localize7.0ms

rewrite2.0ms

series84.0ms

simplify109.0ms

prune62.0ms

localize7.0ms

rewrite14.0ms

series63.0ms

simplify132.0ms

prune80.0ms

localize10.0ms

rewrite11.0ms

series732.0ms

simplify119.0ms

prune230.0ms

regimes90.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample492.0ms

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