Details

Time bar (total: 12.4s)

sample20.0ms

Algorithm
intervals
Results
8.0ms443×body80valid

simplify197.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1117
2277
3657
41047
51347
61547
71717
81737
done1737

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (+ x y) (+ x y))

rewrite50.0ms

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:
48.0ms
(* (+ x y) (+ x y))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* (+ x y) (+ x y))

simplify2.9s

Counts
45 → 45
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
064532
1193465
2792416
33639380
done5000380

prune78.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

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 y (fma x 2 y) (* x x))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(fma y (fma x 2 y) (* x x))

simplify1.3s

Counts
13 → 13
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
022165
142165
2100135
3323135
41691135
done5001135

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*l/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*l*
7×pow1 add-exp-log add-cube-cbrt flip3-+ add-cbrt-cube flip-+
6×associate-*r*
5×add-log-exp
4×frac-add
3×expm1-log1p-u log1p-expm1-u distribute-lft-out
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative fma-def sum-log
Counts
3 → 65
Calls
3 calls:
26.0ms
(+ (* (+ x y) x) (* (+ x y) y))
41.0ms
(* (+ x y) x)
33.0ms
(* (+ x y) y)

series114.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ (* (+ x y) x) (* (+ x y) y))
41.0ms
(* (+ x y) x)
30.0ms
(* (+ x y) y)

simplify1.4s

Counts
74 → 74
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0112875
1311745
21203663
done5000637

prune228.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
0.0ms
(fma x x (* y (fma x 2 y)))
13.0ms
(* y (fma x 2 y))

series121.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(fma x x (* y (fma x 2 y)))
66.0ms
(* y (fma x 2 y))

simplify4.7s

Counts
38 → 38
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
054382
1102379
2248316
3818316
44763316
done5000316

prune75.0ms

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

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
179
done79

end0.0ms

sample1.1s

Algorithm
intervals
Results
623.0ms14215×body80valid