Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

294×

body

valid

simplify167.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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:

35.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify40.0ms

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

prune27.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite188.0ms

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:

134.0ms	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))
16.0ms	(cbrt (- (+ x y) (* x y)))
18.0ms	(cbrt (- (+ x y) (* x y)))
16.0ms	(cbrt (- (+ x y) (* x y)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))
71.0ms	(cbrt (- (+ x y) (* x y)))
72.0ms	(cbrt (- (+ x y) (* x y)))
71.0ms	(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

prune232.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (+ x y) (* x y)))
0.6b	(cbrt (+ (+ x y) (* x y)))
6.8b	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
25.1b	(cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`associate--l+` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `diff-log` `flip-+`

Counts

4 → 55

Calls

4 calls:

17.0ms	(cbrt (- (+ x y) (* x y)))
15.0ms	(cbrt (+ (+ x y) (* x y)))
29.0ms	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
24.0ms	(cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))

series277.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(cbrt (- (+ x y) (* x y)))
58.0ms	(cbrt (+ (+ x y) (* x y)))
35.0ms	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
115.0ms	(cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	467	842
1	1697	778
2	5002	772

prune230.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (sqrt (- (+ x y) (* x y)))) (cbrt (sqrt (- (+ x y) (* x y)))))
0.5b	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))
0.5b	(cbrt (- (+ x y) (* x y)))
0.5b	(cbrt (- (+ x y) (* x y)))

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-prod`
56×	`add-sqr-sqrt`
28×	`cbrt-div`
26×	`add-cube-cbrt` `*-un-lft-identity`
20×	`sqrt-prod`
18×	`pow1`
17×	`swap-sqr`
15×	`associate-r` `associate-l`
14×	`flip3--` `pow1/3` `flip--`
13×	`unswap-sqr`
12×	`sqrt-div`
8×	`add-exp-log` `frac-times`
4×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 138

Calls

4 calls:

140.0ms	(* (cbrt (sqrt (- (+ x y) (* x y)))) (cbrt (sqrt (- (+ x y) (* x y)))))
133.0ms	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))
16.0ms	(cbrt (- (+ x y) (* x y)))
19.0ms	(cbrt (- (+ x y) (* x y)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (cbrt (sqrt (- (+ x y) (* x y)))) (cbrt (sqrt (- (+ x y) (* x y)))))
102.0ms	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))
69.0ms	(cbrt (- (+ x y) (* x y)))
74.0ms	(cbrt (- (+ x y) (* x y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	489	2160
1	1870	2053
2	5002	1914

prune357.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

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

sample341.0ms

Algorithm

intervals

Results

151.0ms	9112×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid