Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	311×	body	80	valid
0.0ms	6×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid

simplify18.0ms

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 (0.0%)

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

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))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify79.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	36	59
1	74	52
2	287	52
3	1707	52
4	5001	52

prune29.0ms

Filtered

13 candidates to 11 candidates (15.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	5	14

Merged error: 0.0b

Counts

14 → 5

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))

series85.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(fma x z (fma 5.0 z (* x y)))
45.0ms	(fma 5.0 z (* x y))

simplify137.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (6.0ms)

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 (19.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	26	5	31

Merged error: 0.0b

Counts

31 → 5

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)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

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)))

series857.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))
211.0ms	(cbrt (fma 5.0 z (* x y)))
212.0ms	(cbrt (fma 5.0 z (* x y)))
212.0ms	(cbrt (fma 5.0 z (* x y)))

simplify160.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (149.0ms)

Iter	Nodes	Cost
0	280	777
1	881	705
2	4064	616
3	5001	597

prune229.0ms

Filtered

96 candidates to 72 candidates (25.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	95	6	101

Merged error: 0.0b

Counts

101 → 6

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)))

rewrite7.0ms

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:

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

series878.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt (fma 5.0 z (* x y)))
221.0ms	(cbrt (fma 5.0 z (* x y)))
216.0ms	(cbrt (fma 5.0 z (* x y)))
225.0ms	(cbrt (fma 5.0 z (* x y)))

simplify159.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (152.0ms)

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

prune221.0ms

Filtered

64 candidates to 60 candidates (6.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

regimes86.0ms

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

sample448.0ms

Algorithm

intervals

Results

221.0ms	9854×	body	80	valid
14.0ms	105×	body	1280	valid
9.0ms	113×	body	640	valid
4.0ms	73×	body	320	valid
1.0ms	26×	body	160	valid