Details

Time bar (total: 14.4s)

sample29.0ms

Algorithm
intervals
Results
15.0ms347×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1147
2207
3227
done227

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize7.0ms

Local error

Found 1 expressions with local error:

4.0b
(* x (+ 1.0 (* y y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
27.0ms
(* x (+ 1.0 (* y y)))

series83.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(* x (+ 1.0 (* y y)))

simplify2.2s

Counts
25 → 25
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
050247
1143240
2451206
31576206
done5000206

prune83.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 4.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* y y)))
10.3b
(* x (* y y))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 31
Calls
2 calls:
18.0ms
(+ (* x 1.0) (* x (* y y)))
36.0ms
(* x (* y y))

series125.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(+ (* x 1.0) (* x (* y y)))
37.0ms
(* x (* y y))

simplify2.5s

Counts
37 → 37
Iterations

Useful iterations: done (2.5s)

IterNodesCost
059369
1160317
2536291
31846273
done5000271

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
14.0ms
(+ (* x 1.0) (* (* x y) y))
32.0ms
(* (* x y) y)

series137.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(+ (* x 1.0) (* (* x y) y))
44.0ms
(* (* x y) y)

simplify2.5s

Counts
35 → 35
Iterations

Useful iterations: done (2.5s)

IterNodesCost
060359
1173337
2654269
32147261
done5000259

prune85.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
269.0ms
(* (cbrt y) (cbrt y))
242.0ms
(cbrt y)
261.0ms
(cbrt y)
288.0ms
(cbrt y)

simplify4.2s

Counts
85 → 85
Iterations

Useful iterations: done (4.2s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune255.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes64.0ms

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

sample768.0ms

Algorithm
intervals
Results
340.0ms10632×body80valid