Details

Time bar (total: 2.1s)

sample25.0ms

Algorithm
intervals
Results
14.0ms449×body80valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1273
2663
31133
41453
51653
61823
71843
81843

prune2.0ms

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))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×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:
17.0ms
(* (+ x y) (+ x y))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(* (+ x y) (+ x y))

simplify47.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0194221
1953194
25002180

prune61.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*r*
7×pow1 add-exp-log add-cube-cbrt flip3-+ add-cbrt-cube flip-+
6×associate-*l*
5×add-log-exp
4×distribute-rgt-in distribute-lft-in frac-add
3×expm1-log1p-u log1p-expm1-u
2×associate-+l+ associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×+-commutative distribute-rgt-out fma-def sum-log
Counts
3 → 73
Calls
3 calls:
9.0ms
(* y (+ x y))
6.0ms
(+ (* x (+ x y)) (* y (+ x y)))
9.0ms
(* x (+ x y))

series87.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* y (+ x y))
29.0ms
(+ (* x (+ x y)) (* y (+ x y)))
28.0ms
(* x (+ x y))

simplify77.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0371403
12121342
25001336

prune173.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×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
2 → 20
Calls
2 calls:
0.0ms
(fma x x (fma (* 2 x) y (pow y 2)))
0.0ms
(fma (* 2 x) y (pow y 2))

series83.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(fma x x (fma (* 2 x) y (pow y 2)))
51.0ms
(fma (* 2 x) y (pow y 2))

simplify41.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
050132
1154116
2888112
35001107

prune295.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity flip3-+ flip-+
6×associate-*r/
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×associate-*r* frac-add sum-log
3×expm1-log1p-u distribute-rgt-out associate-*l* log1p-expm1-u
2×+-commutative distribute-rgt-in associate-+l+ fma-def distribute-lft-in unpow2
1×associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 63
Calls
3 calls:
5.0ms
(+ (* x y) (pow y 2))
16.0ms
(+ (* x (+ x y)) (+ (* x y) (pow y 2)))
13.0ms
(* x (+ x y))

series96.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ (* x y) (pow y 2))
26.0ms
(+ (* x (+ x y)) (+ (* x y) (pow y 2)))
30.0ms
(* x (+ x y))

simplify81.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0395446
12050403
25002368

prune172.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample701.0ms

Algorithm
intervals
Results
470.0ms14106×body80valid