Details

Time bar (total: 12.9s)

sample37.0ms

Algorithm
intervals
Results
18.0ms341×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1147
2207
3227
done227

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize10.0ms

Local error

Found 1 expressions with local error:

5.5b
(* x (+ 1.0 (* y y)))

rewrite31.0ms

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:
30.0ms
(* x (+ 1.0 (* y y)))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(* x (+ 1.0 (* y y)))

simplify2.3s

Counts
25 → 25
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
050247
1143240
2451206
31576206
done5000206

prune53.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* y y)))
9.4b
(* x (* y y))

rewrite45.0ms

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:
15.0ms
(+ (* x 1.0) (* x (* y y)))
28.0ms
(* x (* y y))

series140.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(+ (* x 1.0) (* x (* y y)))
45.0ms
(* x (* y y))

simplify2.4s

Counts
37 → 37
Iterations

Useful iterations: done (2.4s)

IterNodesCost
059369
1160317
2536291
31846273
done5000271

prune81.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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))
25.0ms
(* (* x y) y)

series140.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(+ (* x 1.0) (* (* x y) y))
45.0ms
(* (* x y) y)

simplify2.9s

Counts
35 → 35
Iterations

Useful iterations: done (2.9s)

IterNodesCost
060359
1173337
2654269
32147261
done5000259

prune103.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
22.8b
(cbrt (* (* x y) y))
22.8b
(cbrt (* (* x y) y))
22.8b
(cbrt (* (* x y) y))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
32.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
17.0ms
(cbrt (* (* x y) y))
18.0ms
(cbrt (* (* x y) y))
23.0ms
(cbrt (* (* x y) y))

series627.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
147.0ms
(cbrt (* (* x y) y))
131.0ms
(cbrt (* (* x y) y))
170.0ms
(cbrt (* (* x y) y))

simplify2.7s

Counts
70 → 70
Iterations

Useful iterations: done (2.7s)

IterNodesCost
086846
1200763
2485668
31096567
42929545
done5001497

prune265.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes78.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1119
done119

end0.0ms

sample845.0ms

Algorithm
intervals
Results
371.0ms10796×body80valid