Details

Time bar (total: 19.2s)

sample16.0ms

Algorithm
intervals
Results
7.0ms330×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
2105
done105

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
43.0ms
(* (* x 3.0) x)

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (* x 3.0) x)

simplify5.1s

Counts
21 → 21
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
037157
190152
2314122
3664122
4975121
52720121
done5000121

prune59.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3.0 (* x x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt *-un-lft-identity
1×associate-*r* *-commutative add-log-exp unswap-sqr
Counts
1 → 19
Calls
1 calls:
18.0ms
(* 3.0 (* x x))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* 3.0 (* x x))

simplify3.8s

Counts
22 → 22
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
034162
178159
2209129
3468129
4677129
51860129
done5001129

prune78.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* x x))
0.4b
(* (sqrt (* 3.0 (* x x))) (sqrt (* 3.0 (* x x))))
17.9b
(sqrt (* 3.0 (* x x)))
17.9b
(sqrt (* 3.0 (* x x)))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
12×add-sqr-sqrt
11×add-exp-log pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 109
Calls
4 calls:
19.0ms
(* 3.0 (* x x))
100.0ms
(* (sqrt (* 3.0 (* x x))) (sqrt (* 3.0 (* x x))))
28.0ms
(sqrt (* 3.0 (* x x)))
23.0ms
(sqrt (* 3.0 (* x x)))

series252.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* 3.0 (* x x))
94.0ms
(* (sqrt (* 3.0 (* x x))) (sqrt (* 3.0 (* x x))))
46.0ms
(sqrt (* 3.0 (* x x)))
68.0ms
(sqrt (* 3.0 (* x x)))

simplify4.0s

Counts
121 → 121
Iterations

Useful iterations: done (4.0s)

IterNodesCost
0791108
1154749
2460623
31793605
done5000597

prune253.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (* 3.0 (* x x))) (fabs x))
0.2b
(* 3.0 (* x x))
0.3b
(* (sqrt 3.0) (* (sqrt (* 3.0 (* x x))) (fabs x)))
17.9b
(sqrt (* 3.0 (* x x)))

rewrite334.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1
16×add-exp-log add-cbrt-cube
13×associate-*l*
12×add-sqr-sqrt
10×pow-prod-down
9×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
5×associate-*r* sqrt-prod
4×add-log-exp
3×sqrt-pow1 *-commutative
2×unswap-sqr
1×pow1/2
Counts
4 → 71
Calls
4 calls:
76.0ms
(* (sqrt (* 3.0 (* x x))) (fabs x))
34.0ms
(* 3.0 (* x x))
204.0ms
(* (sqrt 3.0) (* (sqrt (* 3.0 (* x x))) (fabs x)))
18.0ms
(sqrt (* 3.0 (* x x)))

series288.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (sqrt (* 3.0 (* x x))) (fabs x))
30.0ms
(* 3.0 (* x x))
129.0ms
(* (sqrt 3.0) (* (sqrt (* 3.0 (* x x))) (fabs x)))
49.0ms
(sqrt (* 3.0 (* x x)))

simplify3.7s

Counts
83 → 83
Iterations

Useful iterations: 2 (138.0ms)

IterNodesCost
0100896
1227805
2722713
32839713
done5000713

prune232.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

end0.0ms

sample581.0ms

Algorithm
intervals
Results
294.0ms10630×body80valid