Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	319×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify10.0ms

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

prune2.0ms

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

rewrite35.0ms

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:

20.0ms	(* x (+ y z))
14.0ms	(+ (* x (+ y z)) (* z 5.0))

series53.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* x (+ y z))
30.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify122.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4182	168
3	5001	168

prune81.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:

9.0ms	(+ (* y x) (* z (+ x 5.0)))
19.0ms	(* z (+ x 5.0))

series56.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* y x) (* z (+ x 5.0)))
29.0ms	(* z (+ x 5.0))

simplify134.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	210	182
1	941	168
2	4793	168
3	5002	168

prune82.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(* (cbrt z) (cbrt z))

rewrite16.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
11.0ms	(* (cbrt z) (cbrt z))

series725.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt z)
178.0ms	(cbrt z)
179.0ms	(cbrt z)
193.0ms	(* (cbrt z) (cbrt z))

simplify89.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	479	261
2	2963	238
3	5002	235

prune214.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))
0.8b	(cbrt (+ x 5.0))
0.8b	(cbrt (+ x 5.0))
0.8b	(cbrt (+ x 5.0))

rewrite55.0ms

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×	`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 → 95

Calls

4 calls:

40.0ms	(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))
4.0ms	(cbrt (+ x 5.0))
4.0ms	(cbrt (+ x 5.0))
4.0ms	(cbrt (+ x 5.0))

series355.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))
84.0ms	(cbrt (+ x 5.0))
85.0ms	(cbrt (+ x 5.0))
86.0ms	(cbrt (+ x 5.0))

simplify154.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (145.0ms)

Iter	Nodes	Cost
0	328	792
1	1078	748
2	4737	669
3	5001	665

prune279.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes79.0ms

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

sample520.0ms

Algorithm

intervals

Results

206.0ms	9905×	body	80	valid
13.0ms	116×	body	1280	valid
11.0ms	110×	body	640	valid
3.0ms	55×	body	320	valid
1.0ms	31×	body	160	valid