Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

294×

body

valid

simplify168.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

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:

5.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 1 (4.0ms)

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

prune29.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))
0.6b	(cbrt (- (+ x y) (* x y)))
0.6b	(cbrt (- (+ x y) (* x y)))
0.6b	(cbrt (- (+ x y) (* x y)))

rewrite30.0ms

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:

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

series331.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))
76.0ms	(cbrt (- (+ x y) (* x y)))
76.0ms	(cbrt (- (+ x y) (* x y)))
78.0ms	(cbrt (- (+ x y) (* x y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	374	1246
1	1445	1180
2	5001	1117

prune257.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (* x y) 3)
3.2b	(+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y)))
6.4b	(- (pow (+ x y) 3) (pow (* x y) 3))
38.4b	(/ (- (pow (+ x y) 3) (pow (* x y) 3)) (+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
42×	`flip3-+` `flip-+`
40×	`associate-*r/` `difference-of-squares`
39×	`times-frac`
33×	`*-un-lft-identity`
32×	`frac-add`
31×	`sqr-pow`
23×	`add-cube-cbrt`
18×	`associate-/r/`
16×	`frac-times`
13×	`associate-/l*`
11×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-*l/` `add-log-exp`
7×	`pow1`
5×	`difference-cubes` `distribute-lft-out--`
3×	`pow-unpow` `associate-/r*`
2×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `flip3--` `pow-pow` `distribute-lft-in` `pow-exp` `flip--` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `unpow3` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `div-inv`

Counts

4 → 163

Calls

4 calls:

4.0ms	(pow (* x y) 3)
15.0ms	(+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y)))
12.0ms	(- (pow (+ x y) 3) (pow (* x y) 3))
27.0ms	(/ (- (pow (+ x y) 3) (pow (* x y) 3)) (+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y))))

series308.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(pow (* x y) 3)
46.0ms	(+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y)))
85.0ms	(- (pow (+ x y) 3) (pow (* x y) 3))
131.0ms	(/ (- (pow (+ x y) 3) (pow (* x y) 3)) (+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y))))

simplify147.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	902	3664
1	4881	3521
2	5002	3521

prune489.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample309.0ms

Algorithm

intervals

Results

166.0ms	9161×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid