Details

Time bar (total: 2.9s)

sample24.0ms

Algorithm
intervals
Results
13.0ms496×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0176
1375
2465
3465

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

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:
7.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))
6.0ms
(* y (+ (* x 2.0) y))

series66.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))
41.0ms
(* y (+ (* x 2.0) y))

simplify39.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0222234
11119217
25001217

prune79.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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))))
5.6b
(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.6b
(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.6b
(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:
16.0ms
(* (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)))
6.0ms
(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
6.0ms
(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

series548.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(* (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))))
134.0ms
(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
131.0ms
(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
136.0ms
(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
02641380
110551287
250021202

prune248.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y y) (* (* x 2.0) y))
0.4b
(+ (pow (* x 2.0) 3) (pow y 3))
2.3b
(* y (+ (pow (* x 2.0) 3) (pow y 3)))
24.9b
(/ (* y (+ (pow (* x 2.0) 3) (pow y 3))) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt add-log-exp
6×pow1
5×associate-*r*
4×flip3-+ associate-*r/ flip-+
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp associate-/r/ sum-cubes cbrt-unprod associate-/l/ distribute-lft-out
1×+-commutative distribute-rgt-in sub-neg flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in diff-log pow-prod-down clear-num sum-log *-commutative flip-- div-inv associate-/l* unswap-sqr
Counts
4 → 75
Calls
4 calls:
3.0ms
(- (* y y) (* (* x 2.0) y))
9.0ms
(+ (pow (* x 2.0) 3) (pow y 3))
11.0ms
(* y (+ (pow (* x 2.0) 3) (pow y 3)))
19.0ms
(/ (* y (+ (pow (* x 2.0) 3) (pow y 3))) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y))))

series288.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* y y) (* (* x 2.0) y))
60.0ms
(+ (pow (* x 2.0) 3) (pow y 3))
59.0ms
(* y (+ (pow (* x 2.0) 3) (pow y 3)))
123.0ms
(/ (* y (+ (pow (* x 2.0) 3) (pow y 3))) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y))))

simplify85.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
0418882
12450754
25001746

prune240.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y (+ (* x 2.0) y)) (* x x))
0.0b
(* y (+ (* x 2.0) y))
0.2b
(pow (+ (* y (+ (* x 2.0) y)) (* x x)) 3)
35.9b
(cbrt (pow (+ (* y (+ (* x 2.0) y)) (* x x)) 3))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×cbrt-prod add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod add-log-exp
4×cube-div flip3-+ flip-+
3×pow-unpow associate-*r* associate-*l*
2×distribute-rgt-in cube-mult associate-+l+ cbrt-div distribute-lft-in unpow3 associate-*r/ sqr-pow
1×+-commutative pow-to-exp pow-pow pow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative rem-cbrt-cube cbrt-unprod rem-cube-cbrt unswap-sqr
Counts
4 → 83
Calls
4 calls:
7.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))
6.0ms
(* y (+ (* x 2.0) y))
8.0ms
(pow (+ (* y (+ (* x 2.0) y)) (* x x)) 3)
8.0ms
(cbrt (pow (+ (* y (+ (* x 2.0) y)) (* x x)) 3))

series196.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))
36.0ms
(* y (+ (* x 2.0) y))
105.0ms
(pow (+ (* y (+ (* x 2.0) y)) (* x x)) 3)
27.0ms
(cbrt (pow (+ (* y (+ (* x 2.0) y)) (* x x)) 3))

simplify61.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0388754
11991715
25003709

prune174.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes40.0ms

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

sample593.0ms

Algorithm
intervals
Results
375.0ms14203×body80valid