Details

Time bar (total: 8.7s)

sample14.0ms

Algorithm
intervals
Results
6.0ms327×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1147
2197
done197

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (* y y))
7.1b
(* x (+ 1.0 (* y y)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
associate-*r* associate-*l*
flip3-+ associate-*r/ flip-+
+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
2.0ms
(+ 1.0 (* y y))
7.0ms
(* x (+ 1.0 (* y y)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ 1.0 (* y y))
59.0ms
(* x (+ 1.0 (* y y)))

simplify1.3s

Counts
39 → 39
Iterations

Useful iterations: 3 (399.0ms)

IterNodesCost
059371
1167359
2588309
32424307
done5001307

prune77.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 7.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* x (* y y)))
12.7b
(* x (* y y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
4.0ms
(+ (* 1.0 x) (* x (* y y)))
7.0ms
(* x (* y y))

series99.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ (* 1.0 x) (* x (* y y)))
31.0ms
(* x (* y y))

simplify1.1s

Counts
36 → 36
Iterations

Useful iterations: 3 (232.0ms)

IterNodesCost
057364
1159344
2509276
31662268
done5000268

prune63.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* x y) y))
0.2b
(* (* x y) y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
3.0ms
(+ (* 1.0 x) (* (* x y) y))
7.0ms
(* (* x y) y)

series99.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (* 1.0 x) (* (* x y) y))
34.0ms
(* (* x y) y)

simplify2.2s

Counts
35 → 35
Iterations

Useful iterations: 3 (613.0ms)

IterNodesCost
059359
1174337
2680269
33125261
done5000261

prune59.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (sqrt (+ 1.0 (* y y))))
0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
7.1b
(sqrt (+ 1.0 (* y y)))
7.1b
(sqrt (+ 1.0 (* y y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
flip3-+ flip-+
frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
9.0ms
(* x (sqrt (+ 1.0 (* y y))))
21.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(sqrt (+ 1.0 (* y y)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* x (sqrt (+ 1.0 (* y y))))
53.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
47.0ms
(sqrt (+ 1.0 (* y y)))
44.0ms
(sqrt (+ 1.0 (* y y)))

simplify2.5s

Counts
95 → 95
Iterations

Useful iterations: 3 (873.0ms)

IterNodesCost
01221468
13041152
210091012
347481002
done50001002

prune209.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1119
done119

end0.0ms

sample351.0ms

Algorithm
intervals
Results
189.0ms10636×body80valid