Details

sample17.0ms

Algorithm

intervals

Results

7.0ms	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

simplify8.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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

series55.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* x (+ y z)) (* z 5.0))
25.0ms	(* x (+ y z))

simplify115.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (29.0ms)

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

prune77.0ms

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)))

rewrite15.0ms

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:

11.0ms	(* z (+ x 5.0))
3.0ms	(+ (* y x) (* z (+ x 5.0)))

series56.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* z (+ x 5.0))
26.0ms	(+ (* y x) (* z (+ x 5.0)))

simplify128.0ms

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

prune83.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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:

17.0ms	(* (cbrt (+ (* y x) (* z (+ x 5.0)))) (cbrt (+ (* y x) (* z (+ x 5.0)))))
2.0ms	(cbrt (+ (* y x) (* z (+ x 5.0))))
2.0ms	(cbrt (+ (* y x) (* z (+ x 5.0))))
2.0ms	(cbrt (+ (* y x) (* z (+ x 5.0))))

series561.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (+ (* y x) (* z (+ x 5.0)))) (cbrt (+ (* y x) (* z (+ x 5.0)))))
135.0ms	(cbrt (+ (* y x) (* z (+ x 5.0))))
131.0ms	(cbrt (+ (* y x) (* z (+ x 5.0))))
134.0ms	(cbrt (+ (* y x) (* z (+ x 5.0))))

simplify115.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	335	1275
1	1155	1188
2	4674	1097
3	5001	1090

prune260.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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:

2.0ms	(cbrt (+ (* y x) (* z (+ x 5.0))))
2.0ms	(cbrt (+ (* y x) (* z (+ x 5.0))))
2.0ms	(cbrt (+ (* y x) (* z (+ x 5.0))))
2.0ms	(cbrt (+ (* y x) (* z (+ x 5.0))))

series540.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (+ (* y x) (* z (+ x 5.0))))
138.0ms	(cbrt (+ (* y x) (* z (+ x 5.0))))
133.0ms	(cbrt (+ (* y x) (* z (+ x 5.0))))
137.0ms	(cbrt (+ (* y x) (* z (+ x 5.0))))

simplify61.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	190	680
1	589	636
2	2186	612
3	5002	608

prune252.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes112.0ms

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

sample440.0ms

Algorithm

intervals

Results

210.0ms	9874×	body	80	valid
13.0ms	96×	body	1280	valid
12.0ms	120×	body	640	valid
4.0ms	64×	body	320	valid
2.0ms	41×	body	160	valid