Details

Time bar (total: 26.5s)

sample19.0ms

Algorithm
intervals
Results
8.0ms390×body80valid

simplify5.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1139
2359
3889
41409
51479
61649
72119
83559
98299
1026199
done50009

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log prod-diff add-cbrt-cube
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×add-cube-cbrt *-un-lft-identity
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 33
Calls
1 calls:
63.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series92.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify3.2s

Counts
36 → 36
Iterations

Useful iterations: done (3.2s)

IterNodesCost
077533
1207518
2681442
32676421
done5002397

prune100.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
0.2b
(* (* x 3.0) x)

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt associate-*r*
13×add-exp-log
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×prod-exp
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod unswap-sqr
3×expm1-log1p-u pow-prod-down log1p-expm1-u
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- fma-def flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 71
Calls
3 calls:
29.0ms
(* 2.0 (pow x 3))
43.0ms
(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
38.0ms
(* (* x 3.0) x)

series274.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* 2.0 (pow x 3))
171.0ms
(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
52.0ms
(* (* x 3.0) x)

simplify1.8s

Counts
80 → 80
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0113760
1289673
21064609
done5000573

prune300.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

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)))
21.1b
(sqrt (* (* x 3.0) x))
21.1b
(sqrt (* (* x 3.0) x))

rewrite234.0ms

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:
19.0ms
(* (* x 3.0) x)
168.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
27.0ms
(sqrt (* (* x 3.0) x))
14.0ms
(sqrt (* (* x 3.0) x))

series272.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (* x 3.0) x)
127.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
41.0ms
(sqrt (* (* x 3.0) x))
58.0ms
(sqrt (* (* x 3.0) x))

simplify4.4s

Counts
128 → 128
Iterations

Useful iterations: done (4.4s)

IterNodesCost
0881171
1175809
2567696
32088617
done5000607

prune371.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (expm1 (log1p (fabs (* x (sqrt 3.0))))) (sqrt (* (* x 3.0) x)))
0.4b
(* x (sqrt 3.0))
1.1b
(expm1 (log1p (fabs (* x (sqrt 3.0)))))
21.1b
(sqrt (* (* x 3.0) x))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
14×pow1
10×associate-*r*
9×add-cube-cbrt *-un-lft-identity
8×add-exp-log add-cbrt-cube
6×associate-*l* sqrt-prod
5×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×sqrt-pow1 unswap-sqr
2×prod-exp *-commutative cbrt-unprod
1×expm1-log1p pow1/2 expm1-udef
Counts
4 → 70
Calls
4 calls:
76.0ms
(* (expm1 (log1p (fabs (* x (sqrt 3.0))))) (sqrt (* (* x 3.0) x)))
23.0ms
(* x (sqrt 3.0))
1.0ms
(expm1 (log1p (fabs (* x (sqrt 3.0)))))
28.0ms
(sqrt (* (* x 3.0) x))

series815.0ms

Counts
4 → 12
Calls
4 calls:
410.0ms
(* (expm1 (log1p (fabs (* x (sqrt 3.0))))) (sqrt (* (* x 3.0) x)))
82.0ms
(* x (sqrt 3.0))
251.0ms
(expm1 (log1p (fabs (* x (sqrt 3.0)))))
71.0ms
(sqrt (* (* x 3.0) x))

simplify7.2s

Counts
82 → 82
Iterations

Useful iterations: done (7.2s)

IterNodesCost
091820
1165692
2381638
3719521
42069505
done5001495

prune311.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11812
22012
done2012

end0.0ms

sample600.0ms

Algorithm
intervals
Results
334.0ms12102×body80valid