Details

Time bar (total: 7.5s)

sample11.0ms

Algorithm
intervals
Results
4.0ms336×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
295
done95

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite7.0ms

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×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
7.0ms
(* (* x 3.0) x)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* (* x 3.0) x)

simplify2.1s

Counts
23 → 23
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
039169
194164
2419134
31749134
done5001134

prune38.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

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)))
19.7b
(sqrt (* (* x 3.0) x))
19.7b
(sqrt (* (* x 3.0) x))

rewrite64.0ms

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×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 116
Calls
4 calls:
7.0ms
(* (* x 3.0) x)
42.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms
(sqrt (* (* x 3.0) x))
6.0ms
(sqrt (* (* x 3.0) x))

series161.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* x 3.0) x)
67.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
37.0ms
(sqrt (* (* x 3.0) x))
33.0ms
(sqrt (* (* x 3.0) x))

simplify578.0ms

Counts
128 → 128
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
0881171
1183809
2886696
done5000696

prune165.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3.0 (* x x))

rewrite7.0ms

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×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
7.0ms
(* 3.0 (* x x))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* 3.0 (* x x))

simplify1.6s

Counts
24 → 24
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
036174
187171
2265141
3702141
42222141
done5000141

prune38.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

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))

rewrite40.0ms

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 add-cube-cbrt *-un-lft-identity
2×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 55
Calls
2 calls:
29.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x x)))
9.0ms
(* (cbrt 3.0) (* x x))

series135.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x x)))
48.0ms
(* (cbrt 3.0) (* x x))

simplify2.1s

Counts
61 → 61
Iterations

Useful iterations: 3 (310.0ms)

IterNodesCost
070732
1188714
2682490
32667382
done5000382

prune71.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes33.0ms

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
045
165
done65

end0.0ms

sample252.0ms

Algorithm
intervals
Results
138.0ms10574×body80valid