Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	309×	body	80	valid
0.0ms	5×	body	640	valid
0.0ms	4×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify15.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

5.0ms	(+ (* x (+ y z)) (* z 5.0))
10.0ms	(* x (+ y z))

series66.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x (+ y z)) (* z 5.0))
29.0ms	(* x (+ y z))

simplify134.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	227	194
1	1011	179
2	4716	179
3	5001	179

prune114.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x z (* x y))
0.0b	(+ (* 1 (fma x z (* x y))) (* z 5.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
3×	`fma-udef`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-in` `fma-def` `distribute-lft-in` `flip3-+` `sum-log` `flip-+`

Counts

2 → 26

Calls

2 calls:

0.0ms	(fma x z (* x y))
3.0ms	(+ (* 1 (fma x z (* x y))) (* z 5.0))

series81.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(fma x z (* x y))
38.0ms	(+ (* 1 (fma x z (* x y))) (* z 5.0))

simplify95.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	145	163
1	615	143
2	3188	143
3	5001	141

prune95.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1 (* x z)) (fma 5.0 z (* x y)))
0.0b	(fma 5.0 z (* x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
3×	`*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+r+` `fma-def` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

2 → 26

Calls

2 calls:

6.0ms	(+ (* 1 (* x z)) (fma 5.0 z (* x y)))
0.0ms	(fma 5.0 z (* x y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* 1 (* x z)) (fma 5.0 z (* x y)))
40.0ms	(fma 5.0 z (* x y))

simplify78.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	119	163
1	507	140
2	2669	140
3	5001	138

prune93.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma 5.0 z (* x y)))
0.5b	(cbrt (fma 5.0 z (* x y)))
0.5b	(cbrt (fma 5.0 z (* x y)))
0.6b	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))

rewrite10.0ms

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:

0.0ms	(cbrt (fma 5.0 z (* x y)))
0.0ms	(cbrt (fma 5.0 z (* x y)))
0.0ms	(cbrt (fma 5.0 z (* x y)))
6.0ms	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))

series816.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt (fma 5.0 z (* x y)))
207.0ms	(cbrt (fma 5.0 z (* x y)))
202.0ms	(cbrt (fma 5.0 z (* x y)))
199.0ms	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))

simplify115.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	271	726
1	841	671
2	3669	604
3	5001	580

prune286.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes85.0ms

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	16	4
1	18	4
2	18	4

end0.0ms

sample456.0ms

Algorithm

intervals

Results

221.0ms	9753×	body	80	valid
13.0ms	129×	body	1280	valid
10.0ms	119×	body	640	valid
4.0ms	64×	body	320	valid
2.0ms	37×	body	160	valid