Details

Time bar (total: 20.0s)

sample11.0ms

Algorithm
intervals
Results
5.0ms345×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
295
done95

prune2.0ms

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)

series33.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* (* x 3.0) x)

simplify5.9s

Counts
23 → 23
Iterations

Useful iterations: 4 (3.2s)

IterNodesCost
039169
192164
2351134
31206134
43389133
done5000133

prune33.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

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)))
17.6b
(sqrt (* (* x 3.0) x))
17.6b
(sqrt (* (* x 3.0) x))

rewrite62.0ms

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)
39.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms
(sqrt (* (* x 3.0) x))
6.0ms
(sqrt (* (* x 3.0) x))

series191.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* x 3.0) x)
79.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
38.0ms
(sqrt (* (* x 3.0) x))
45.0ms
(sqrt (* (* x 3.0) x))

simplify4.8s

Counts
128 → 128
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
0881171
1175809
2632696
33326617
done5000617

prune236.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (sqrt 3.0))
0.4b
(* x (sqrt 3.0))
17.6b
(sqrt (* (* x 3.0) x))
17.6b
(sqrt (* (fabs (* x (sqrt 3.0))) (fabs (* x (sqrt 3.0)))))

rewrite18.0ms

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:
4.0ms
(* x (sqrt 3.0))
4.0ms
(* x (sqrt 3.0))
5.0ms
(sqrt (* (* x 3.0) x))
2.0ms
(sqrt (* (fabs (* x (sqrt 3.0))) (fabs (* x (sqrt 3.0)))))

series143.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* x (sqrt 3.0))
45.0ms
(* x (sqrt 3.0))
42.0ms
(sqrt (* (* x 3.0) x))
8.0ms
(sqrt (* (fabs (* x (sqrt 3.0))) (fabs (* x (sqrt 3.0)))))

simplify2.1s

Counts
92 → 92
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
074656
1119519
2195485
3282465
4378465
5522465
6946465
72500465
done5000465

prune260.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
1.0b
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))
17.6b
(sqrt (* (fabs (* x (sqrt 3.0))) (fabs (* (* x (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0))))))
17.6b
(sqrt (* (* x 3.0) x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-prod add-sqr-sqrt
25×pow1
22×sqrt-prod
17×add-cube-cbrt *-un-lft-identity
12×associate-*l*
11×add-exp-log swap-sqr
10×associate-*r* unswap-sqr
9×pow-prod-down
7×add-cbrt-cube
6×pow1/3
5×sqrt-pow1
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×pow1/2 pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 106
Calls
4 calls:
12.0ms
(* x (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
9.0ms
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))
2.0ms
(sqrt (* (fabs (* x (sqrt 3.0))) (fabs (* (* x (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0))))))
6.0ms
(sqrt (* (* x 3.0) x))

series411.0ms

Counts
4 → 10
Calls
4 calls:
355.0ms
(* x (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
0.0ms
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))
12.0ms
(sqrt (* (fabs (* x (sqrt 3.0))) (fabs (* (* x (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0))))))
43.0ms
(sqrt (* (* x 3.0) x))

simplify4.9s

Counts
116 → 116
Iterations

Useful iterations: 4 (3.3s)

IterNodesCost
01191349
12061211
25421051
31710954
44194865
done5001865

prune390.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes65.0ms

Accuracy

0% (0.1b 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

sample256.0ms

Algorithm
intervals
Results
147.0ms10691×body80valid