Details

Time bar (total: 6.6s)

sample22.0ms

Algorithm
intervals
Results
9.0ms326×body80valid

simplify10.0ms

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: 6.9b

localize5.0ms

Local error

Found 1 expressions with local error:

6.4b
(* x (+ 1.0 (* y y)))

rewrite17.0ms

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:
16.0ms
(* x (+ 1.0 (* y y)))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(* x (+ 1.0 (* y y)))

simplify433.0ms

Counts
25 → 25
Iterations

Useful iterations: done (432.0ms)

IterNodesCost
050247
1161244
2756208
done5000206

prune52.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 6.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* y y) x))
10.4b
(* (* y y) x)

rewrite29.0ms

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-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
9.0ms
(+ (* x 1.0) (* (* y y) x))
19.0ms
(* (* y y) x)

series96.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(+ (* x 1.0) (* (* y y) x))
24.0ms
(* (* y y) x)

simplify849.0ms

Counts
36 → 36
Iterations

Useful iterations: done (848.0ms)

IterNodesCost
061367
1185345
21144277
done5000271

prune94.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
10.0ms
(+ (* x 1.0) (* y (* y x)))
19.0ms
(* y (* y x))

series112.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(+ (* x 1.0) (* y (* y x)))
30.0ms
(* y (* y x))

simplify584.0ms

Counts
35 → 35
Iterations

Useful iterations: done (583.0ms)

IterNodesCost
057356
1166336
2876272
done5001264

prune83.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.5b
(* (cbrt x) (+ 1.0 (* y y)))
5.2b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ 1.0 (* y y))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×associate-*r/
5×distribute-rgt-in distribute-lft-in
4×associate-*r* add-log-exp
2×flip3-+ pow1/3 *-commutative flip-+ unswap-sqr
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
26.0ms
(* (cbrt x) (+ 1.0 (* y y)))
62.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ 1.0 (* y y))))

series848.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(cbrt x)
241.0ms
(cbrt x)
249.0ms
(* (cbrt x) (+ 1.0 (* y y)))
107.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ 1.0 (* y y))))

simplify1.8s

Counts
88 → 88
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01091047
13571020
22510743
done5002629

prune159.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes117.0ms

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

sample1.0s

Algorithm
intervals
Results
395.0ms10693×body80valid