Details

Time bar (total: 1.7s)

sample16.0ms

Algorithm
intervals
Results
6.0ms456×body80valid

simplify28.0ms

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))

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))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* (+ x y) (+ x y))

simplify43.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0194221
1953194
25002180

prune64.0ms

Filtered
45 candidates to 21 candidates (46.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

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))

rewrite27.0ms

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)))
10.0ms
(* x (+ x y))

series91.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* y (+ x y))
26.0ms
(+ (* x (+ x y)) (* y (+ x y)))
31.0ms
(* x (+ x y))

simplify78.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0371403
12121342
25001336

prune171.0ms

Filtered
82 candidates to 57 candidates (69.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
4×associate-*r*
3×expm1-log1p-u associate-*l* log1p-expm1-u
2×flip3-+ associate-*r/ flip-+ fma-udef
1×+-commutative distribute-rgt-in associate-+r+ fma-def distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 50
Calls
3 calls:
0.0ms
(fma y x (* y (+ x y)))
3.0ms
(+ (* x x) (fma y x (* y (+ x y))))
10.0ms
(* y (+ x y))

series114.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(fma y x (* y (+ x y)))
33.0ms
(+ (* x x) (fma y x (* y (+ x y))))
30.0ms
(* y (+ x y))

simplify40.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0225277
11042245
25001226

prune131.0ms

Filtered
59 candidates to 43 candidates (72.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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 x x (fma (* 2 x) y (pow y 2)))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(fma x x (fma (* 2 x) y (pow y 2)))

simplify264.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
03973
111764
266464
3488160
4500160

prune37.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample421.0ms

Algorithm
intervals
Results
207.0ms14390×body80valid