Details

Time bar (total: 13.1s)

sample32.0ms

Algorithm
intervals
Results
19.0ms345×body80valid

simplify19.0ms

Counts
1 → 1
Iterations
IterNodes
done22
322
220
114
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize15.0ms

Local error

Found 1 expressions with local error:

4.8b
(* x (+ 1.0 (* y y)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
17.0ms
(* x (+ 1.0 (* y y)))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(* x (+ 1.0 (* y y)))

simplify1.9s

Counts
26 → 26
Iterations
IterNodes
done5003
32735
2601
1150
051

prune111.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.7b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* y y) x))
9.1b
(* (* y y) x)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×+-commutative sum-log flip3-+ distribute-rgt-out associate-*l* *-commutative flip-+ unswap-sqr
Counts
2 → 33
Calls
2 calls:
16.0ms
(+ (* 1.0 x) (* (* y y) x))
28.0ms
(* (* y y) x)

series113.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(+ (* 1.0 x) (* (* y y) x))
25.0ms
(* (* y y) x)

simplify2.3s

Counts
39 → 39
Iterations
IterNodes
done5002
33282
2703
1183
063

prune113.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+
Counts
2 → 31
Calls
2 calls:
15.0ms
(+ (* 1.0 x) (* y (* y x)))
21.0ms
(* y (* y x))

series115.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(+ (* 1.0 x) (* y (* y x)))
20.0ms
(* y (* y x))

simplify2.1s

Counts
37 → 37
Iterations
IterNodes
done5005
33100
2631
1167
058

prune139.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 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 → 77
Calls
4 calls:
9.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series896.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(* (cbrt y) (cbrt y))
216.0ms
(cbrt y)
239.0ms
(cbrt y)
208.0ms
(cbrt y)

simplify3.3s

Counts
89 → 89
Iterations
IterNodes
done5000
44217
31188
2391
1138
063

prune407.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes278.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
07

end0.0ms

sample979.0ms

Algorithm
intervals
Results
741.0ms10736×body80valid