Details

Time bar (total: 1.6s)

sample18.0ms

Algorithm
intervals
Results
7.0ms496×body80valid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1273
2663
31133
41453
51653
61823
71843
81843

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
pow1
add-sqr-sqrt
flip3-+ swap-sqr flip-+ distribute-lft-out
add-cube-cbrt
frac-times associate-*r* associate-*l*
add-exp-log add-cbrt-cube
associate-*r/ associate-*l/
pow2 distribute-rgt-in expm1-log1p-u distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 42
Calls
1 calls:
18.0ms
(* (+ x y) (+ x y))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(* (+ x y) (+ x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0194221
1953194
25002180

prune65.0ms

Filtered
45 candidates to 21 candidates (46.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt *-un-lft-identity
associate-*r*
pow1 add-exp-log add-cube-cbrt flip3-+ add-cbrt-cube flip-+
associate-*l*
add-log-exp
distribute-rgt-in distribute-lft-in frac-add
expm1-log1p-u log1p-expm1-u
associate-+l+ associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
+-commutative distribute-rgt-out fma-def sum-log
Counts
3 → 73
Calls
3 calls:
10.0ms
(* x (+ x y))
10.0ms
(* y (+ x y))
6.0ms
(+ (* x (+ x y)) (* y (+ x y)))

series84.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* x (+ x y))
32.0ms
(* y (+ x y))
23.0ms
(+ (* x (+ x y)) (* y (+ x y)))

simplify69.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0371403
12121342
25002336

prune165.0ms

Filtered
82 candidates to 57 candidates (69.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (* 2 x) y (pow y 2))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (* 2 x) y (pow y 2))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(fma (* 2 x) y (pow y 2))

simplify98.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (16.0ms)

IterNodesCost
03059
18052
237948
3185947
4500247

prune41.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (fma x 2 y) y)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
3.0ms
(* (fma x 2 y) y)

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* (fma x 2 y) y)

simplify48.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
07886
126770
2181070
3500270

prune49.0ms

Filtered
23 candidates to 15 candidates (65.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes35.0ms

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
084
184

end0.0ms

sample646.0ms

Algorithm
intervals
Results
427.0ms14203×body80valid