Details

sample30.0ms

Algorithm

intervals

Results

18.0ms	314×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	1×	body	320	valid

simplify13.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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:

0.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify60.0ms

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

prune43.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

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))

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))

series81.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(fma x z (fma 5.0 z (* x y)))
39.0ms	(fma 5.0 z (* x y))

simplify111.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

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

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (fma x (+ y z) (* z 5.0)))
0.0b	(fma x (+ y z) (* z 5.0))
1.9b	(expm1 (log1p (fma x (+ y z) (* z 5.0))))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`expm1-log1p-u`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `fma-udef` `expm1-udef`

Counts

3 → 32

Calls

3 calls:

0.0ms	(log1p (fma x (+ y z) (* z 5.0)))
0.0ms	(fma x (+ y z) (* z 5.0))
0.0ms	(expm1 (log1p (fma x (+ y z) (* z 5.0))))

series396.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(log1p (fma x (+ y z) (* z 5.0)))
30.0ms	(fma x (+ y z) (* z 5.0))
203.0ms	(expm1 (log1p (fma x (+ y z) (* z 5.0))))

simplify109.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 4 (105.0ms)

Iter	Nodes	Cost
0	128	232
1	280	207
2	827	196
3	4061	187
4	5001	184

prune119.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 5.0 z (* x y))
0.1b	(sqrt (fma 5.0 z (* x y)))
0.1b	(sqrt (fma 5.0 z (* x y)))
0.2b	(* (sqrt (fma 5.0 z (* x y))) (sqrt (fma 5.0 z (* x y))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma 5.0 z (* x y))
1.0ms	(sqrt (fma 5.0 z (* x y)))
1.0ms	(sqrt (fma 5.0 z (* x y)))
7.0ms	(* (sqrt (fma 5.0 z (* x y))) (sqrt (fma 5.0 z (* x y))))

series231.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma 5.0 z (* x y))
76.0ms	(sqrt (fma 5.0 z (* x y)))
73.0ms	(sqrt (fma 5.0 z (* x y)))
42.0ms	(* (sqrt (fma 5.0 z (* x y))) (sqrt (fma 5.0 z (* x y))))

simplify149.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (141.0ms)

Iter	Nodes	Cost
0	143	462
1	572	404
2	3246	386
3	5003	375

prune231.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes71.0ms

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

sample793.0ms

Algorithm

intervals

Results

514.0ms	9660×	body	80	valid
27.0ms	121×	body	1280	valid
23.0ms	127×	body	640	valid
10.0ms	74×	body	320	valid
3.0ms	34×	body	160	valid