Details

sample16.0ms

Algorithm

intervals

Results

7.0ms	314×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

series55.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ y z))
30.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify120.0ms

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

prune77.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`associate-+r+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

4.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify72.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	115	101
1	488	92
2	2644	92
3	5001	92

prune34.0ms

Filtered

16 candidates to 11 candidates (68.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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:

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

series636.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt (+ (* x y) (* z (+ x 5.0)))) (cbrt (+ (* x y) (* z (+ x 5.0)))))
146.0ms	(cbrt (+ (* x y) (* z (+ x 5.0))))
144.0ms	(cbrt (+ (* x y) (* z (+ x 5.0))))
147.0ms	(cbrt (+ (* x y) (* z (+ x 5.0))))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	323	1273
1	1158	1175
2	5001	1048

prune258.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-div`
19×	`flip3-+` `flip-+`
12×	`frac-times`
6×	`cbrt-prod` `associate-r/` `associate-l/`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

3.0ms	(cbrt (+ (* x y) (* z (+ x 5.0))))
9.0ms	(cbrt (* (cbrt (+ (* x y) (* z (+ x 5.0)))) (cbrt (+ (* x y) (* z (+ x 5.0))))))
9.0ms	(cbrt (* (cbrt (+ (* x y) (* z (+ x 5.0)))) (cbrt (+ (* x y) (* z (+ x 5.0))))))
9.0ms	(cbrt (* (cbrt (+ (* x y) (* z (+ x 5.0)))) (cbrt (+ (* x y) (* z (+ x 5.0))))))

series776.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (+ (* x y) (* z (+ x 5.0))))
213.0ms	(cbrt (* (cbrt (+ (* x y) (* z (+ x 5.0)))) (cbrt (+ (* x y) (* z (+ x 5.0))))))
209.0ms	(cbrt (* (cbrt (+ (* x y) (* z (+ x 5.0)))) (cbrt (+ (* x y) (* z (+ x 5.0))))))
206.0ms	(cbrt (* (cbrt (+ (* x y) (* z (+ x 5.0)))) (cbrt (+ (* x y) (* z (+ x 5.0))))))

simplify98.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	292	1534
1	828	1423
2	3363	1351
3	5001	1350

prune285.0ms

Filtered

76 candidates to 63 candidates (82.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes87.0ms

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

sample442.0ms

Algorithm

intervals

Results

223.0ms	9842×	body	80	valid
10.0ms	102×	body	1280	valid
9.0ms	117×	body	640	valid
4.0ms	61×	body	320	valid
1.0ms	30×	body	160	valid