Details

Time bar (total: 9.4s)

sample344.0ms

Algorithm
intervals
Results
326.0ms476×body80valid

simplify40.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (17.0ms)

IterNodesCost
0913
11812
24510
3759
4779
done779

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
fma-def sum-log
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
associate-+l+
Counts
2 → 32
Calls
2 calls:
9.0ms
(+ (* x x) (* (* x 2.0) y))
38.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series77.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ (* x x) (* (* x 2.0) y))
27.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify2.8s

Counts
38 → 38
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
062573
1203480
2862387
34160360
done5000360

prune166.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x (fma y 2.0 x) (* y y))

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 x (fma y 2.0 x) (* y y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(fma x (fma y 2.0 x) (* y y))

simplify1.4s

Counts
13 → 13
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
023165
143165
2101135
3313135
41664135
done5000135

prune46.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y (fma x 2.0 y)))
0.0b
(* y (fma x 2.0 y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef add-log-exp
associate-*r* associate-*l*
distribute-rgt-in expm1-log1p-u associate-+r+ distribute-lft-in log1p-expm1-u
+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 38
Calls
2 calls:
16.0ms
(+ (* x x) (* y (fma x 2.0 y)))
20.0ms
(* y (fma x 2.0 y))

series105.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* x x) (* y (fma x 2.0 y)))
65.0ms
(* y (fma x 2.0 y))

simplify1.6s

Counts
44 → 44
Iterations

Useful iterations: 3 (522.0ms)

IterNodesCost
069498
1175458
2516396
31916394
done5000394

prune132.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (cbrt (pow (* y (fma x 2.0 y)) 3)))
0.0b
(* y (fma x 2.0 y))
0.2b
(pow (* y (fma x 2.0 y)) 3)
31.0b
(cbrt (pow (* y (fma x 2.0 y)) 3))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
pow1 add-exp-log add-cbrt-cube
cbrt-prod add-cube-cbrt *-un-lft-identity
add-log-exp
expm1-log1p-u log1p-expm1-u
pow-unpow associate-*r* associate-*l*
cube-mult unpow-prod-down pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod fma-udef rem-cube-cbrt sqr-pow
+-commutative distribute-rgt-in pow-to-exp fma-def distribute-lft-in flip3-+ pow1/3 sum-log *-commutative rem-cbrt-cube flip-+ unswap-sqr
Counts
4 → 79
Calls
4 calls:
12.0ms
(+ (* x x) (cbrt (pow (* y (fma x 2.0 y)) 3)))
9.0ms
(* y (fma x 2.0 y))
7.0ms
(pow (* y (fma x 2.0 y)) 3)
3.0ms
(cbrt (pow (* y (fma x 2.0 y)) 3))

series244.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ (* x x) (cbrt (pow (* y (fma x 2.0 y)) 3)))
56.0ms
(* y (fma x 2.0 y))
66.0ms
(pow (* y (fma x 2.0 y)) 3)
74.0ms
(cbrt (pow (* y (fma x 2.0 y)) 3))

simplify823.0ms

Counts
91 → 91
Iterations

Useful iterations: done (820.0ms)

IterNodesCost
01341157
1303931
21038839
done5000829

prune305.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes50.0ms

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
done69

end0.0ms

sample1.1s

Algorithm
intervals
Results
570.0ms14278×body80valid