Details

Time bar (total: 15.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms337×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
2105
done105

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x 3.0) x)

rewrite23.0ms

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:
21.0ms
(* (* x 3.0) x)

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (* x 3.0) x)

simplify4.8s

Counts
21 → 21
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
037157
190152
2314122
3664122
4975121
52720121
done5000121

prune40.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3.0 (* x x))

rewrite36.0ms

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:
35.0ms
(* 3.0 (* x x))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* 3.0 (* x x))

simplify3.6s

Counts
22 → 22
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
034162
178159
2209129
3468129
4677129
51860129
done5001129

prune48.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x 3.0) x)
0.3b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
20.3b
(sqrt (* (* x 3.0) x))
20.3b
(sqrt (* (* x 3.0) x))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
18.0ms
(* (* x 3.0) x)
131.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
14.0ms
(sqrt (* (* x 3.0) x))
25.0ms
(sqrt (* (* x 3.0) x))

series272.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* x 3.0) x)
112.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
58.0ms
(sqrt (* (* x 3.0) x))
65.0ms
(sqrt (* (* x 3.0) x))

simplify3.0s

Counts
120 → 120
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0821103
1170757
2569644
32100569
done5000559

prune200.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (fabs (* x (sqrt 3.0)))) 3))
0.4b
(* x (sqrt 3.0))
0.5b
(pow (sqrt (fabs (* x (sqrt 3.0)))) 3)
20.3b
(sqrt (* (* x 3.0) x))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
32×sqrt-prod
24×associate-*r*
19×add-cube-cbrt *-un-lft-identity
16×unpow-prod-down cube-prod
14×pow1 unswap-sqr
12×add-exp-log
10×associate-*l*
9×add-cbrt-cube
4×sqrt-pow1 pow-prod-down prod-exp add-log-exp sqr-pow
3×pow-unpow pow-pow
2×cube-mult pow-to-exp pow1/2 unpow3 pow-exp *-commutative cbrt-unprod
1×sqrt-pow2 rem-cube-cbrt
Counts
4 → 115
Calls
4 calls:
106.0ms
(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (fabs (* x (sqrt 3.0)))) 3))
10.0ms
(* x (sqrt 3.0))
4.0ms
(pow (sqrt (fabs (* x (sqrt 3.0)))) 3)
17.0ms
(sqrt (* (* x 3.0) x))

series349.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (fabs (* x (sqrt 3.0)))) 3))
65.0ms
(* x (sqrt 3.0))
79.0ms
(pow (sqrt (fabs (* x (sqrt 3.0)))) 3)
64.0ms
(sqrt (* (* x 3.0) x))

simplify1.5s

Counts
127 → 127
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01631995
13781705
212881652
done50011203

prune339.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes55.0ms

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

sample489.0ms

Algorithm
intervals
Results
245.0ms10619×body80valid