Details

Time bar (total: 11.7s)

sample12.0ms

Algorithm
intervals
Results
6.0ms342×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1117
2167
3207
4217
done217

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×times-frac
11×add-cube-cbrt *-un-lft-identity
5×difference-of-squares
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
3×associate-/r*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 47
Calls
2 calls:
3.0ms
(- (* x x) 3.0)
9.0ms
(/ (- (* x x) 3.0) 6.0)

series111.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (* x x) 3.0)
67.0ms
(/ (- (* x x) 3.0) 6.0)

simplify1.3s

Counts
53 → 53
Iterations

Useful iterations: done (1.3s)

IterNodesCost
089587
1204571
2652519
32656519
done5000518

prune101.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 0.16666666666666666 (pow x 2))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*r*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*l* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 27
Calls
1 calls:
6.0ms
(* 0.16666666666666666 (pow x 2))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* 0.16666666666666666 (pow x 2))

simplify1.8s

Counts
30 → 30
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
051232
1110209
2414176
31775176
done5000176

prune51.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x 0.16666666666666666) (pow x (/ 2 2)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log
9×prod-exp
7×associate-*r*
6×add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity cbrt-unprod
2×pow-to-exp pow-exp
1×pow1 associate-*l* *-commutative add-log-exp sqr-pow
Counts
1 → 24
Calls
1 calls:
9.0ms
(* (* x 0.16666666666666666) (pow x (/ 2 2)))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* (* x 0.16666666666666666) (pow x (/ 2 2)))

simplify4.7s

Counts
27 → 27
Iterations

Useful iterations: 3 (546.0ms)

IterNodesCost
057324
1155235
2702160
33307157
done5000157

prune44.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (fabs x) (sqrt 0.16666666666666666))
0.2b
(* (fabs x) (sqrt 0.16666666666666666))
0.3b
(* (* (fabs x) (sqrt 0.16666666666666666)) (* (fabs x) (sqrt 0.16666666666666666)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
46×pow1
19×add-exp-log pow-prod-down add-cbrt-cube
17×add-sqr-sqrt
13×associate-*r*
10×prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
8×sqrt-prod
7×associate-*l*
4×pow-sqr pow-prod-up unswap-sqr
3×*-commutative add-log-exp
2×pow-plus
1×pow2 swap-sqr
Counts
3 → 78
Calls
3 calls:
5.0ms
(* (fabs x) (sqrt 0.16666666666666666))
5.0ms
(* (fabs x) (sqrt 0.16666666666666666))
16.0ms
(* (* (fabs x) (sqrt 0.16666666666666666)) (* (fabs x) (sqrt 0.16666666666666666)))

series140.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* (fabs x) (sqrt 0.16666666666666666))
30.0ms
(* (fabs x) (sqrt 0.16666666666666666))
67.0ms
(* (* (fabs x) (sqrt 0.16666666666666666)) (* (fabs x) (sqrt 0.16666666666666666)))

simplify2.8s

Counts
87 → 87
Iterations

Useful iterations: 3 (357.0ms)

IterNodesCost
061821
1137608
2579504
33039499
done5000499

prune116.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample285.0ms

Algorithm
intervals
Results
175.0ms10709×body80valid