Details

Time bar (total: 2.7s)

sample15.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
193
293

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))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
11.0ms
(/ (+ x y) (- x y))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (+ x y) (- x y))

simplify44.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0169288
1510274
21435270
35001270

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- x y))
0.2b
(* (+ x y) (/ 1 (- x y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 90
Calls
2 calls:
5.0ms
(/ 1 (- x y))
23.0ms
(* (+ x y) (/ 1 (- x y)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ 1 (- x y))
65.0ms
(* (+ x y) (/ 1 (- x y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0288480
11398418
25001364

prune126.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
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 → 101
Calls
4 calls:
19.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))

series563.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
146.0ms
(cbrt (- x y))
152.0ms
(cbrt (- x y))
144.0ms
(cbrt (- x y))

simplify162.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (153.0ms)

IterNodesCost
0261760
1912723
24506670
35001660

prune274.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- x y) (+ (* y (- y x)) (* x x)))
1.2b
(+ (* y (- y x)) (* x x))
2.1b
(+ (pow x 3) (pow y 3))
39.4b
(/ (+ (pow x 3) (pow y 3)) (* (- x y) (+ (* y (- y x)) (* x x))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
15×distribute-lft-out
12×add-sqr-sqrt unpow-prod-down cube-prod
11×add-exp-log add-cbrt-cube
9×flip3-+ times-frac flip-+ associate-/l*
8×frac-times add-cube-cbrt associate-/r/ add-log-exp
6×pow1 flip3-- flip--
5×associate-*l*
4×associate-+l+ associate-*r/ associate-*l/
3×distribute-rgt-in distribute-lft-in associate-*r* sum-cubes
2×cbrt-undiv +-commutative sub-neg div-exp prod-exp sum-log cbrt-unprod associate-/l/
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 105
Calls
4 calls:
24.0ms
(* (- x y) (+ (* y (- y x)) (* x x)))
5.0ms
(+ (* y (- y x)) (* x x))
15.0ms
(+ (pow x 3) (pow y 3))
47.0ms
(/ (+ (pow x 3) (pow y 3)) (* (- x y) (+ (* y (- y x)) (* x x))))

series235.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (- x y) (+ (* y (- y x)) (* x x)))
22.0ms
(+ (* y (- y x)) (* x x))
50.0ms
(+ (pow x 3) (pow y 3))
112.0ms
(/ (+ (pow x 3) (pow y 3)) (* (- x y) (+ (* y (- y x)) (* x x))))

simplify79.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
04941108
12850989
25002988

prune256.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes48.0ms

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)

IterNodesCost
063
163

end0.0ms

sample410.0ms

Algorithm
intervals
Results
279.0ms8000×body80valid