Details

Time bar (total: 13.4s)

sample13.0ms

Algorithm
intervals
Results
6.0ms342×body80valid

simplify11.0ms

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)

rewrite12.0ms

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)
8.0ms
(/ (- (* x x) 3.0) 6.0)

series109.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (* x x) 3.0)
67.0ms
(/ (- (* x x) 3.0) 6.0)

simplify1.2s

Counts
53 → 53
Iterations

Useful iterations: done (1.2s)

IterNodesCost
089587
1204571
2506519
31401519
done5000518

prune103.0ms

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))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* 0.16666666666666666 (pow x 2))

simplify2.5s

Counts
30 → 30
Iterations

Useful iterations: 4 (867.0ms)

IterNodesCost
051232
1108209
2276176
3691176
43215173
done5001173

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)))

rewrite9.0ms

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:
8.0ms
(* (* x 0.16666666666666666) (pow x (/ 2 2)))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* (* x 0.16666666666666666) (pow x (/ 2 2)))

simplify1.9s

Counts
27 → 27
Iterations

Useful iterations: 3 (539.0ms)

IterNodesCost
057324
1152235
2564160
31722157
done5000157

prune45.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

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-*l*
10×prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
8×sqrt-prod
7×associate-*r*
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:
4.0ms
(* (sqrt 0.16666666666666666) x)
4.0ms
(* (sqrt 0.16666666666666666) x)
16.0ms
(* (* (sqrt 0.16666666666666666) x) (* (sqrt 0.16666666666666666) x))

series151.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* (sqrt 0.16666666666666666) x)
44.0ms
(* (sqrt 0.16666666666666666) x)
69.0ms
(* (* (sqrt 0.16666666666666666) x) (* (sqrt 0.16666666666666666) x))

simplify6.7s

Counts
87 → 87
Iterations

Useful iterations: 3 (562.0ms)

IterNodesCost
058685
1128512
2443430
31926425
44965425
done5000425

prune118.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
done1111

end0.0ms

sample301.0ms

Algorithm
intervals
Results
185.0ms10709×body80valid