Details

Time bar (total: 10.5s)

sample21.0ms

Algorithm
intervals
Results
8.0ms333×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
16
04

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
associate-*r* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
19.0ms
(* (* x 3.0) x)

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* (* x 3.0) x)

simplify565.0ms

Counts
21 → 21
Iterations
IterNodes
done5000
2721
198
037

prune54.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* x 3.0))
0.3b
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
17.1b
(sqrt (* x (* x 3.0)))
17.1b
(sqrt (* x (* x 3.0)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-sqr-sqrt add-cbrt-cube add-exp-log pow-sqr
*-un-lft-identity add-cube-cbrt
associate-*l*
sqrt-prod
associate-*r*
swap-sqr prod-exp cbrt-unprod add-log-exp
*-commutative
pow2 rem-square-sqrt pow-plus sqrt-unprod unswap-sqr
Counts
4 → 108
Calls
4 calls:
13.0ms
(* x (* x 3.0))
73.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
16.0ms
(sqrt (* x (* x 3.0)))
17.0ms
(sqrt (* x (* x 3.0)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* x (* x 3.0))
82.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
50.0ms
(sqrt (* x (* x 3.0)))
43.0ms
(sqrt (* x (* x 3.0)))

simplify1.0s

Counts
120 → 120
Iterations
IterNodes
done5000
21286
1209
079

prune328.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (pow x 2) 3.0)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
associate-*l*
add-exp-log
unpow-prod-down *-un-lft-identity add-cube-cbrt unswap-sqr
add-cbrt-cube associate-*r* prod-exp
unpow2 sqr-pow
pow-to-exp pow1 pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 27
Calls
1 calls:
25.0ms
(* (pow x 2) 3.0)

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* (pow x 2) 3.0)

simplify4.4s

Counts
30 → 30
Iterations
IterNodes
done5001
33751
2415
1103
049

prune122.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (cbrt 3.0) (cbrt 3.0)) x)
0.2b
(* (* (* (cbrt 3.0) (cbrt 3.0)) x) x)
0.3b
(* (* (* (* (cbrt 3.0) (cbrt 3.0)) x) x) (cbrt 3.0))

rewrite515.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log
21×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
cbrt-prod associate-*l* *-commutative add-log-exp
unswap-sqr
Counts
3 → 67
Calls
3 calls:
33.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) x)
103.0ms
(* (* (* (cbrt 3.0) (cbrt 3.0)) x) x)
376.0ms
(* (* (* (* (cbrt 3.0) (cbrt 3.0)) x) x) (cbrt 3.0))

series415.0ms

Counts
3 → 9
Calls
3 calls:
120.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) x)
124.0ms
(* (* (* (cbrt 3.0) (cbrt 3.0)) x) x)
171.0ms
(* (* (* (* (cbrt 3.0) (cbrt 3.0)) x) x) (cbrt 3.0))

simplify1.7s

Counts
76 → 76
Iterations
IterNodes
done5001
22058
1244
087

prune261.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
04

end0.0ms

sample555.0ms

Algorithm
intervals
Results
334.0ms10689×body80valid