Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	239×	body	80	valid
1.0ms	9×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	25	3
2	34	3
3	41	3
4	47	3
5	50	3
6	50	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

5.0ms

(- x (* (/ 3.0 8.0) y))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(- x (* (/ 3.0 8.0) y))

simplify107.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	80	79
1	258	72
2	1053	72
3	3864	72
4	5002	72

prune32.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite46.0ms

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:

29.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
7.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

261.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
294.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
295.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
293.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	237	1018
1	740	953
2	2721	895
3	5002	874

prune300.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`cbrt-prod`
9×	`flip3--` `flip--`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 59

Calls

4 calls:

3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
17.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
296.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
295.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
261.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	265	818
1	617	768
2	1725	760
3	5001	742

prune311.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`cbrt-prod`
9×	`flip3--` `flip--`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 59

Calls

4 calls:

3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
17.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
292.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
290.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
259.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	265	818
1	617	768
2	1725	760
3	5001	742

prune290.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes154.0ms

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	8	3
1	8	3

end0.0ms

sample376.0ms

Algorithm

intervals

Results

144.0ms	7370×	body	80	valid
21.0ms	219×	body	1280	valid
11.0ms	171×	body	640	valid
9.0ms	101×	body	2560	valid
4.0ms	93×	body	320	valid
2.0ms	46×	body	160	valid