Details

Time bar (total: 15.8s)

sample13.0ms

Algorithm
intervals
Results
6.0ms365×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0482
1682
2882
3982
done982

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
18.0ms
(* (* x 3.0) x)

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* (* x 3.0) x)

simplify2.3s

Counts
23 → 23
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0393698
11003004
23412844
312992844
done50092844

prune75.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 3.0) x)
0.4b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
21.2b
(sqrt (* (* x 3.0) x))
21.2b
(sqrt (* (* x 3.0) x))

rewrite198.0ms

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
9×*-un-lft-identity add-cube-cbrt
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 rem-square-sqrt pow-plus sqrt-unprod unswap-sqr
Counts
4 → 116
Calls
4 calls:
26.0ms
(* (* x 3.0) x)
139.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
13.0ms
(sqrt (* (* x 3.0) x))
11.0ms
(sqrt (* (* x 3.0) x))

series248.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* x 3.0) x)
88.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
64.0ms
(sqrt (* (* x 3.0) x))
63.0ms
(sqrt (* (* x 3.0) x))

simplify3.4s

Counts
128 → 128
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
08819467
121413629
260713349
3225113149
done500013149

prune410.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3.0 (* x x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
2×*-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
13.0ms
(* 3.0 (* x x))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* 3.0 (* x x))

simplify4.0s

Counts
24 → 24
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
0363821
1903168
22613008
310933008
done50013008

prune111.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
16×add-cbrt-cube
7×associate-*l*
6×add-sqr-sqrt
4×cbrt-prod *-un-lft-identity add-cube-cbrt
2×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 55
Calls
2 calls:
55.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x x)))
29.0ms
(* (cbrt 3.0) (* x x))

series200.0ms

Counts
2 → 6
Calls
2 calls:
119.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x x)))
81.0ms
(* (cbrt 3.0) (* x x))

simplify3.8s

Counts
61 → 61
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
07016207
116614481
258813441
325549801
done50019801

prune161.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes112.0ms

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
0482
1682
done682

end0.0ms

sample521.0ms

Algorithm
intervals
Results
297.0ms10724×body80valid