Details

Time bar (total: 2.9s)

sample23.0ms

Algorithm
intervals
Results
12.0ms438×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1254
2274
3274

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
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
(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b
(+ (* x 2.0) (* x x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
11.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
3.0ms
(+ (* x 2.0) (* x x))

series89.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
57.0ms
(+ (* x 2.0) (* x x))

simplify105.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0182191
1887164
23634160
35002160

prune60.0ms

Filtered
31 candidates to 23 candidates (74.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (pow y 2) (* x (+ 2.0 x)))
0.0b
(* x (+ 2.0 x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
6.0ms
(+ (pow y 2) (* x (+ 2.0 x)))
10.0ms
(* x (+ 2.0 x))

series73.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (pow y 2) (* x (+ 2.0 x)))
41.0ms
(* x (+ 2.0 x))

simplify34.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0195180
1967167
25002167

prune71.0ms

Filtered
42 candidates to 27 candidates (64.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (pow y 2) (* x (+ 2.0 x)))) (cbrt (+ (pow y 2) (* x (+ 2.0 x)))))
0.6b
(cbrt (+ (pow y 2) (* x (+ 2.0 x))))
0.6b
(cbrt (+ (pow y 2) (* x (+ 2.0 x))))
0.6b
(cbrt (+ (pow y 2) (* x (+ 2.0 x))))

rewrite54.0ms

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:
36.0ms
(* (cbrt (+ (pow y 2) (* x (+ 2.0 x)))) (cbrt (+ (pow y 2) (* x (+ 2.0 x)))))
4.0ms
(cbrt (+ (pow y 2) (* x (+ 2.0 x))))
4.0ms
(cbrt (+ (pow y 2) (* x (+ 2.0 x))))
7.0ms
(cbrt (+ (pow y 2) (* x (+ 2.0 x))))

series428.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (cbrt (+ (pow y 2) (* x (+ 2.0 x)))) (cbrt (+ (pow y 2) (* x (+ 2.0 x)))))
102.0ms
(cbrt (+ (pow y 2) (* x (+ 2.0 x))))
99.0ms
(cbrt (+ (pow y 2) (* x (+ 2.0 x))))
98.0ms
(cbrt (+ (pow y 2) (* x (+ 2.0 x))))

simplify120.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
02561232
19091153
242491071
350021064

prune233.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* 2.0 x))
0.0b
(+ (pow y 2) (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))))
0.0b
(* x (+ (pow 2.0 3) (pow x 3)))
7.5b
(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×associate-*r*
8×add-cube-cbrt add-log-exp
6×pow1 distribute-lft-out
4×unpow-prod-down flip3-+ cube-prod associate-*r/ flip-+
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
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 sum-cubes *-commutative flip-- div-inv associate-/l* unswap-sqr
Counts
4 → 78
Calls
4 calls:
3.0ms
(- (* x x) (* 2.0 x))
31.0ms
(+ (pow y 2) (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))))
54.0ms
(* x (+ (pow 2.0 3) (pow x 3)))
30.0ms
(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

series459.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (* x x) (* 2.0 x))
98.0ms
(+ (pow y 2) (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))))
92.0ms
(* x (+ (pow 2.0 3) (pow x 3)))
193.0ms
(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

simplify74.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0462809
12409713
25001706

prune238.0ms

Filtered
90 candidates to 63 candidates (70.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

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
0114
1114

end0.0ms

sample613.0ms

Algorithm
intervals
Results
385.0ms14290×body80valid