Details

sample28.0ms

Algorithm

intervals

Results

14.0ms	316×	body	80	valid
1.0ms	7×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	4

prune5.0ms

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)) (* 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` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x (+ y z)) (* z 5.0))
7.0ms	(* x (+ y z))

simplify114.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4187	168
3	5001	168

prune204.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (+ x 5.0))
0.0b	(+ (* y x) (* z (+ x 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` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

10.0ms	(* z (+ x 5.0))
3.0ms	(+ (* y x) (* z (+ x 5.0)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* z (+ x 5.0))
9.0ms	(+ (* y x) (* z (+ x 5.0)))

simplify126.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	210	182
1	941	168
2	4788	168
3	5001	168

prune211.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `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 → 87

Calls

4 calls:

35.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
4.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
4.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
4.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
44.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
42.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
44.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	323	1273
1	1135	1175
2	5002	1048

prune804.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
4.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
4.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
4.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
42.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
44.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
43.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	183	676
1	562	616
2	2320	556
3	5001	552

prune930.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes355.0ms

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	12	4
1	12	4

end0.0ms

sample734.0ms

Algorithm

intervals

Results

462.0ms	9874×	body	80	valid
21.0ms	96×	body	1280	valid
21.0ms	120×	body	640	valid
8.0ms	64×	body	320	valid
4.0ms	41×	body	160	valid