Details

Time bar (total: 19.5s)

sample24.0ms

Algorithm
intervals
Results
11.0ms350×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
2105
done105

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite38.0ms

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:
37.0ms
(* (* x 3.0) x)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* (* x 3.0) x)

simplify5.0s

Counts
23 → 23
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
039169
194164
2314134
3654134
4983133
52724133
done5001133

prune66.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3.0 (pow x 2))

rewrite15.0ms

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 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 29
Calls
1 calls:
14.0ms
(* 3.0 (pow x 2))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* 3.0 (pow x 2))

simplify4.3s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
053244
1109221
2237188
3672188
43356185
done5001185

prune92.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 3.0) x)
0.3b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
19.1b
(sqrt (* (* x 3.0) x))
19.1b
(sqrt (* (* x 3.0) x))

rewrite203.0ms

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:
28.0ms
(* (* x 3.0) x)
122.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
22.0ms
(sqrt (* (* x 3.0) x))
22.0ms
(sqrt (* (* x 3.0) x))

series267.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* x 3.0) x)
110.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
72.0ms
(sqrt (* (* x 3.0) x))
45.0ms
(sqrt (* (* x 3.0) x))

simplify4.6s

Counts
128 → 128
Iterations

Useful iterations: done (4.6s)

IterNodesCost
0881171
1175809
2567696
32088617
done5000607

prune244.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (sqrt 3.0))
0.4b
(* x (sqrt 3.0))
19.1b
(sqrt (* (* x 3.0) x))
19.1b
(sqrt (* (fabs (* x (sqrt 3.0))) (fabs (* x (sqrt 3.0)))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1
18×add-sqr-sqrt
12×associate-*r*
10×add-cube-cbrt *-un-lft-identity sqrt-prod
9×sqrt-pow1
8×add-exp-log add-cbrt-cube
6×associate-*l* pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
2×pow1/2 prod-exp *-commutative cbrt-unprod
1×pow2 rem-sqrt-square pow-plus pow-sqr pow-prod-up
Counts
4 → 80
Calls
4 calls:
33.0ms
(* x (sqrt 3.0))
22.0ms
(* x (sqrt 3.0))
29.0ms
(sqrt (* (* x 3.0) x))
10.0ms
(sqrt (* (fabs (* x (sqrt 3.0))) (fabs (* x (sqrt 3.0)))))

series222.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* x (sqrt 3.0))
78.0ms
(* x (sqrt 3.0))
68.0ms
(sqrt (* (* x 3.0) x))
11.0ms
(sqrt (* (fabs (* x (sqrt 3.0))) (fabs (* x (sqrt 3.0)))))

simplify3.2s

Counts
92 → 92
Iterations

Useful iterations: 3 (159.0ms)

IterNodesCost
074656
1120515
2196485
3283465
4370465
5520465
61006465
72954465
done5001465

prune331.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes75.0ms

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
045
165
done65

end0.0ms

sample615.0ms

Algorithm
intervals
Results
317.0ms10719×body80valid