Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

281×

body

valid

simplify196.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	39	3
3	50	3
4	72	3
5	120	3
6	267	3
7	446	3
8	730	3
9	889	3
10	1175	3
11	2720	3
12	5001	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ x y) (* x y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`diff-log`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `associate--l+` `sum-log` `add-cbrt-cube` `flip--`

Counts

1 → 14

Calls

1 calls:

6.0ms

(- (+ x y) (* x y))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(- (+ x y) (* x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	87	87
1	309	80
2	1324	80
3	5002	80

prune27.0ms

Filtered

17 candidates to 11 candidates (64.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x y) (* x y))
0.0b	(pow (- (+ x y) (* x y)) 3)
36.9b	(cbrt (pow (- (+ x y) (* x y)) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `diff-log` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `pow-exp` `associate--l+` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 62

Calls

3 calls:

6.0ms	(- (+ x y) (* x y))
6.0ms	(pow (- (+ x y) (* x y)) 3)
6.0ms	(cbrt (pow (- (+ x y) (* x y)) 3))

series87.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(- (+ x y) (* x y))
38.0ms	(pow (- (+ x y) (* x y)) 3)
27.0ms	(cbrt (pow (- (+ x y) (* x y)) 3))

simplify51.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	265	453
1	1153	426
2	5002	420

prune111.0ms

Filtered

71 candidates to 40 candidates (56.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	70	3	73

Merged error: 0b

Counts

73 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (+ x y) (* x y)) (- (+ x y) (* x y)))
0.3b	(* (cbrt (* (- (+ x y) (* x y)) (- (+ x y) (* x y)))) (cbrt (- (+ x y) (* x y))))
0.5b	(cbrt (- (+ x y) (* x y)))
28.6b	(cbrt (* (- (+ x y) (* x y)) (- (+ x y) (* x y))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
40×	`flip3--` `flip--`
36×	`frac-times`
20×	`add-sqr-sqrt`
18×	`associate-*l/`
13×	`pow1` `cbrt-prod`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
9×	`associate-r`
8×	`add-exp-log`
7×	`associate-l`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1/3` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr` `pow-prod-down`
2×	`sub-neg` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod`
1×	`pow2` `pow-plus` `pow3` `pow-sqr` `pow-prod-up`

Counts

4 → 122

Calls

4 calls:

13.0ms	(* (- (+ x y) (* x y)) (- (+ x y) (* x y)))
20.0ms	(* (cbrt (* (- (+ x y) (* x y)) (- (+ x y) (* x y)))) (cbrt (- (+ x y) (* x y))))
5.0ms	(cbrt (- (+ x y) (* x y)))
12.0ms	(cbrt (* (- (+ x y) (* x y)) (- (+ x y) (* x y))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (- (+ x y) (* x y)) (- (+ x y) (* x y)))
27.0ms	(* (cbrt (* (- (+ x y) (* x y)) (- (+ x y) (* x y)))) (cbrt (- (+ x y) (* x y))))
83.0ms	(cbrt (- (+ x y) (* x y)))
92.0ms	(cbrt (* (- (+ x y) (* x y)) (- (+ x y) (* x y))))

simplify91.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	584	2274
1	2227	2164
2	5003	2111

prune324.0ms

Filtered

134 candidates to 94 candidates (70.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	134	3	137

Merged error: 0b

Counts

137 → 3

regimes48.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample322.0ms

Algorithm

intervals

Results

176.0ms

9125×

body

valid

Details

sample13.0ms

simplify196.0ms

prune2.0ms

localize5.0ms

rewrite6.0ms

series19.0ms

simplify50.0ms

prune27.0ms

localize13.0ms

rewrite20.0ms

series87.0ms

simplify51.0ms

prune111.0ms

localize11.0ms

rewrite55.0ms

series229.0ms

simplify91.0ms

prune324.0ms

regimes48.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample322.0ms

Profiling