Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	42	4
3	44	4
4	44	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize6.0ms

Local error

Found 1 expressions with local error:

15.6b

(/ (+ x y) (* (* x 2.0) y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
7×	`*-un-lft-identity`
4×	`times-frac` `associate-/l*`
3×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/l/` `distribute-lft-out`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

31.0ms

(/ (+ x y) (* (* x 2.0) y))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(/ (+ x y) (* (* x 2.0) y))

simplify30.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	225	198
1	956	161
2	5001	161

prune55.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))

simplify55.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	30	74
1	86	65
2	435	64
3	1988	59
4	5001	59

prune37.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
0.6b	(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
0.6b	(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
0.6b	(* (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
1.0ms	(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
1.0ms	(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
12.0ms	(* (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))))

series850.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
145.0ms	(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
136.0ms	(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
429.0ms	(* (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))))

simplify107.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	276	1075
1	825	992
2	3708	911
3	5001	883

prune289.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
7.5b	(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
34×	`*-un-lft-identity`
32×	`add-cbrt-cube`
30×	`add-sqr-sqrt`
25×	`cbrt-prod` `associate-r`
24×	`times-frac`
22×	`add-cube-cbrt`
18×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
6×	`pow1` `cbrt-div` `distribute-lft-out`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow1/3` `flip-+` `unswap-sqr`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 115

Calls

4 calls:

4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
86.0ms	(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y))

series508.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (+ x y))
128.0ms	(cbrt (+ x y))
154.0ms	(cbrt (+ x y))
79.0ms	(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y))

simplify89.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	595	1293
1	3436	1076
2	5001	958

prune479.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes33.0ms

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	11	4
1	11	4

end0.0ms

sample350.0ms

Algorithm

intervals

Results

178.0ms

8001×

body

valid