Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	325×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify12.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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

series54.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ y z))
29.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify125.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

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

prune105.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
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`
1×	`+-commutative` `associate-+r+` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

2 → 25

Calls

2 calls:

4.0ms	(+ (* y x) (fma z x (* z 5.0)))
1.0ms	(fma z x (* z 5.0))

series67.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* y x) (fma z x (* z 5.0)))
39.0ms	(fma z x (* z 5.0))

simplify71.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	117	142
1	500	130
2	2359	130
3	5001	130

prune85.0ms

Pruning

4 alts after pruning (4 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))

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))

series73.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(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

prune68.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ y z)) (cbrt (+ y z)))
0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

10.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
3.0ms	(cbrt (+ y z))
3.0ms	(cbrt (+ y z))
3.0ms	(cbrt (+ y z))

series552.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
131.0ms	(cbrt (+ y z))
126.0ms	(cbrt (+ y z))
128.0ms	(cbrt (+ y z))

simplify142.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	256	701
1	932	660
2	4373	610
3	5001	606

prune293.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes60.0ms

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

sample473.0ms

Algorithm

intervals

Results

225.0ms	9788×	body	80	valid
14.0ms	117×	body	1280	valid
9.0ms	116×	body	640	valid
3.0ms	56×	body	320	valid
1.0ms	33×	body	160	valid