Details

Time bar (total: 11.6s)

sample17.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms256×pre80true

simplify533.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
049
1137
2267
3437
41317
55627
done50007

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
7×add-exp-log add-cbrt-cube
5×pow-prod-up
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 pow2 distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* sum-log pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
22.0ms
(+ (* x (* x x)) (* x x))
19.0ms
(* x (* x x))

series145.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(+ (* x (* x x)) (* x x))
46.0ms
(* x (* x x))

simplify1.4s

Counts
43 → 43
Iterations

Useful iterations: 2 (272.0ms)

IterNodesCost
057384
1191260
21407227
done5000227

prune81.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ (* x x) x))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt associate-*r*
4×*-un-lft-identity
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-rgt-out distribute-lft-in distribute-lft1-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
65.0ms
(* x (+ (* x x) x))

series124.0ms

Counts
1 → 3
Calls
1 calls:
124.0ms
(* x (+ (* x x) x))

simplify1.1s

Counts
27 → 27
Iterations

Useful iterations: 2 (303.0ms)

IterNodesCost
044255
1164246
21263216
done5000216

prune70.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* x x) x))
0.0b
(sqrt (+ (* x x) x))
0.2b
(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))
0.2b
(* x (sqrt (+ (* x x) x)))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
15×*-un-lft-identity
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times distribute-rgt-out distribute-lft1-in associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
16.0ms
(sqrt (+ (* x x) x))
17.0ms
(sqrt (+ (* x x) x))
88.0ms
(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))
61.0ms
(* x (sqrt (+ (* x x) x)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(sqrt (+ (* x x) x))
46.0ms
(sqrt (+ (* x x) x))
74.0ms
(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))
83.0ms
(* x (sqrt (+ (* x x) x)))

simplify1.4s

Counts
103 → 103
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01211509
13411221
220031053
done50021046

prune400.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ (* x x) x)))
0.2b
(* (* (* x (sqrt (sqrt (+ (* x x) x)))) (sqrt (sqrt (+ (* x x) x)))) (sqrt (+ (* x x) x)))
0.2b
(* x (sqrt (sqrt (+ (* x x) x))))
0.2b
(* (* x (sqrt (sqrt (+ (* x x) x)))) (sqrt (sqrt (+ (* x x) x))))

rewrite578.0ms

Algorithm
rewrite-expression-head
Rules
122×sqrt-div
48×sqrt-prod
36×associate-*r/
35×flip3-+ flip-+
32×frac-times
30×associate-*r*
23×add-sqr-sqrt
22×pow1
20×add-exp-log add-cbrt-cube
19×*-un-lft-identity
16×associate-*l/
15×add-cube-cbrt
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×distribute-rgt-out distribute-lft1-in sqrt-pow1 add-log-exp
3×*-commutative unswap-sqr
2×rem-sqrt-square pow1/2
Counts
4 → 139
Calls
4 calls:
17.0ms
(sqrt (sqrt (+ (* x x) x)))
374.0ms
(* (* (* x (sqrt (sqrt (+ (* x x) x)))) (sqrt (sqrt (+ (* x x) x)))) (sqrt (+ (* x x) x)))
51.0ms
(* x (sqrt (sqrt (+ (* x x) x))))
128.0ms
(* (* x (sqrt (sqrt (+ (* x x) x)))) (sqrt (sqrt (+ (* x x) x))))

series339.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(sqrt (sqrt (+ (* x x) x)))
126.0ms
(* (* (* x (sqrt (sqrt (+ (* x x) x)))) (sqrt (sqrt (+ (* x x) x)))) (sqrt (+ (* x x) x)))
89.0ms
(* x (sqrt (sqrt (+ (* x x) x))))
59.0ms
(* (* x (sqrt (sqrt (+ (* x x) x)))) (sqrt (sqrt (+ (* x x) x))))

simplify3.4s

Counts
151 → 151
Iterations

Useful iterations: done (3.4s)

IterNodesCost
02443949
16853187
238902549
done50012301

prune698.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
167
done67

end0.0ms

sample664.0ms

Algorithm
intervals
Results
258.0ms8000×body80valid
126.0ms8000×pre80true