Details

Time bar (total: 1.8s)

sample12.0ms

Algorithm
intervals
Results
5.0ms333×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
1102
2102

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* y y))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×add-sqr-sqrt
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip-- difference-of-squares
Counts
1 → 13
Calls
1 calls:
2.0ms
(- x (* y y))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(- x (* y y))

simplify82.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
07664
123959
264758
3242958
4500358

prune30.0ms

Filtered
16 candidates to 12 candidates (75.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (sqrt x) y)
0.0b
(- (sqrt x) y)
0.2b
(* (+ (sqrt x) y) (- (sqrt x) y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity
7×add-log-exp
6×associate-*r*
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×frac-times flip3-- flip3-+ associate-*l* flip-- flip-+ difference-of-squares
3×sub-neg
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ sqrt-prod distribute-lft-out distribute-lft-out--
1×+-commutative diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
3 → 61
Calls
3 calls:
4.0ms
(+ (sqrt x) y)
5.0ms
(- (sqrt x) y)
29.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

series161.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (sqrt x) y)
33.0ms
(- (sqrt x) y)
97.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0297440
11221380
25001369

prune126.0ms

Filtered
70 candidates to 52 candidates (74.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* y y) 3)
0.6b
(+ (* x (+ x (* y y))) (pow y 4))
1.1b
(- (pow x 3) (pow (* y y) 3))
42.6b
(/ (- (pow x 3) (pow (* y y) 3)) (+ (* x (+ x (* y y))) (pow y 4)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
111×add-sqr-sqrt
80×difference-of-squares
63×times-frac
41×unpow-prod-down *-un-lft-identity cube-prod sqr-pow
31×add-cube-cbrt
21×associate-/l*
12×pow1
9×add-exp-log add-cbrt-cube
8×add-log-exp
6×pow-pow
5×difference-cubes distribute-lft-out--
3×pow-unpow associate-/r*
2×associate-+l+ flip3-- flip3-+ pow-exp associate-/r/ flip-- flip-+ associate-/l/ rem-cube-cbrt
1×cbrt-undiv +-commutative pow2 distribute-rgt-in cube-mult pow-to-exp sub-neg frac-2neg distribute-lft-in pow-plus diff-log unpow3 div-sub div-exp pow-prod-down prod-exp clear-num sum-log pow-sqr pow-prod-up cbrt-unprod div-inv
Counts
4 → 173
Calls
4 calls:
3.0ms
(pow (* y y) 3)
6.0ms
(+ (* x (+ x (* y y))) (pow y 4))
13.0ms
(- (pow x 3) (pow (* y y) 3))
45.0ms
(/ (- (pow x 3) (pow (* y y) 3)) (+ (* x (+ x (* y y))) (pow y 4)))

series324.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(pow (* y y) 3)
55.0ms
(+ (* x (+ x (* y y))) (pow y 4))
98.0ms
(- (pow x 3) (pow (* y y) 3))
128.0ms
(/ (- (pow x 3) (pow (* y y) 3)) (+ (* x (+ x (* y y))) (pow y 4)))

simplify78.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05492429
121452330
250012322

prune418.0ms

Filtered
185 candidates to 119 candidates (64.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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
042

end0.0ms

sample313.0ms

Algorithm
intervals
Results
157.0ms10666×body80valid