Details

Time bar (total: 11.3s)

sample164.0ms

Algorithm
intervals
Results
149.0ms470×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0176
1375
2465
3465

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (+ (* x 2.0) y))
0.0b
(+ (* y (+ (* x 2.0) y)) (* x x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
6.0ms
(* y (+ (* x 2.0) y))
7.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* y (+ (* x 2.0) y))
6.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))

simplify37.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0222234
11119217
25001217

prune46.0ms

Filtered
28 candidates to 41 candidates (-46.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New40141
Fresh101
Picked011
Done000
Total41243

Merged error: 0.0b

Counts
43 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))))
7.2b
(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
7.2b
(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
7.2b
(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

rewrite37.0ms

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:
15.0ms
(* (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))))
6.0ms
(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
8.0ms
(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
6.0ms
(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

series132.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))))
34.0ms
(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
32.0ms
(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
31.0ms
(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

simplify50.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03131465
110311372
250011263

prune220.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh000
Picked011
Done011
Total983101

Merged error: 0b

Counts
101 → 3

localize30.0ms

Local error

Found 4 expressions with local error:

33.2b
(cbrt (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x)))))
35.0b
(/ (* (cbrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3))) (cbrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3)))) (* (cbrt (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x))))) (cbrt (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x)))))))
36.8b
(cbrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3)))
36.8b
(cbrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3)))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
1112×associate-*r/
718×cbrt-div
640×frac-times
624×frac-add
515×flip3-+ flip-+
360×associate-/r/
312×flip3-- flip--
176×associate-*l/
16×add-exp-log
13×cbrt-prod
11×*-un-lft-identity
8×add-cbrt-cube associate-/l/
7×add-sqr-sqrt add-cube-cbrt
4×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×sum-cubes distribute-lft-out
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 448
Calls
4 calls:
23.0ms
(cbrt (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x)))))
97.0ms
(/ (* (cbrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3))) (cbrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3)))) (* (cbrt (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x))))) (cbrt (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x)))))))
8.0ms
(cbrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3)))
8.0ms
(cbrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3)))

series201.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cbrt (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x)))))
69.0ms
(/ (* (cbrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3))) (cbrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3)))) (* (cbrt (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x))))) (cbrt (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x)))))))
39.0ms
(cbrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3)))
49.0ms
(cbrt (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3)))

simplify433.0ms

Algorithm
egg-herbie
Counts
460 → 460
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0315448395
1500147924

prune8.8s

Filtered
297 candidates to 460 candidates (-54.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4600460
Fresh000
Picked011
Done022
Total4603463

Merged error: 0b

Counts
463 → 3

regimes83.0ms

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
0125
1125

end0.0ms

sample829.0ms

Algorithm
intervals
Results
466.0ms14176×body80valid

Profiling

Loading profile data...