Details

Time bar (total: 13.5s)

sample14.0ms

Algorithm
intervals
Results
6.0ms356×body80valid

simplify6.0ms

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: 5.3b

localize4.0ms

Local error

Found 1 expressions with local error:

5.0b
(* x (+ 1.0 (* y y)))

rewrite8.0ms

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:
7.0ms
(* x (+ 1.0 (* y y)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(* x (+ 1.0 (* y y)))

simplify1.4s

Counts
25 → 25
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
050247
1143240
2434206
31426206
done5002206

prune49.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (pow y 2) x))
9.2b
(* (pow y 2) x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*l*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r* prod-exp
2×pow1 unpow2 sqr-pow
1×+-commutative pow-to-exp distribute-rgt-out flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 39
Calls
2 calls:
3.0ms
(+ (* 1.0 x) (* (pow y 2) x))
6.0ms
(* (pow y 2) x)

series85.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ (* 1.0 x) (* (pow y 2) x))
21.0ms
(* (pow y 2) x)

simplify2.1s

Counts
45 → 45
Iterations

Useful iterations: 3 (779.0ms)

IterNodesCost
073436
1182372
2633325
32502321
done5000321

prune87.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:
3.0ms
(+ (* 1.0 x) (* y (* x y)))
6.0ms
(* y (* x y))

series82.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (* 1.0 x) (* y (* x y)))
17.0ms
(* y (* x y))

simplify3.2s

Counts
35 → 35
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
057356
1160336
2508272
31489266
44309257
done5000257

prune63.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (* (cbrt (pow y 2)) (cbrt (pow y 2))) (* (cbrt (pow y 2)) x))
24.3b
(cbrt (pow y 2))
24.3b
(cbrt (pow y 2))
24.3b
(cbrt (pow y 2))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
16×pow1 add-exp-log
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×unpow-prod-down
8×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 unpow2 sqr-pow
1×associate-*r* associate-*l* *-commutative
Counts
4 → 70
Calls
4 calls:
26.0ms
(* (* (cbrt (pow y 2)) (cbrt (pow y 2))) (* (cbrt (pow y 2)) x))
1.0ms
(cbrt (pow y 2))
1.0ms
(cbrt (pow y 2))
1.0ms
(cbrt (pow y 2))

series553.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (* (cbrt (pow y 2)) (cbrt (pow y 2))) (* (cbrt (pow y 2)) x))
181.0ms
(cbrt (pow y 2))
179.0ms
(cbrt (pow y 2))
176.0ms
(cbrt (pow y 2))

simplify5.1s

Counts
82 → 82
Iterations

Useful iterations: 3 (492.0ms)

IterNodesCost
071907
1172854
2569547
31968460
done5001460

prune176.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes39.0ms

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

sample343.0ms

Algorithm
intervals
Results
190.0ms10676×body80valid