Details

Time bar (total: 12.1s)

sample21.0ms

Algorithm
intervals
Results
9.0ms356×body80valid

simplify97.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
079
1197
2417
3707
41007
51267
done1267

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (+ (* x x) (* x y)))
0.0b
(+ (* x x) (* x y))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u distribute-lft-out
1×+-commutative distribute-rgt-in fma-def distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
42.0ms
(* 2.0 (+ (* x x) (* x y)))
16.0ms
(+ (* x x) (* x y))

series99.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* 2.0 (+ (* x x) (* x y)))
40.0ms
(+ (* x x) (* x y))

simplify1.2s

Counts
46 → 46
Iterations

Useful iterations: 2 (232.0ms)

IterNodesCost
066523
1224426
21162362
done5001362

prune105.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (fma x x (* x y)))
0.0b
(fma x x (* x y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
7.0ms
(* 2.0 (fma x x (* x y)))
0.0ms
(fma x x (* x y))

series132.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* 2.0 (fma x x (* x y)))
64.0ms
(fma x x (* x y))

simplify4.0s

Counts
38 → 38
Iterations

Useful iterations: 3 (863.0ms)

IterNodesCost
048388
1103373
2402294
33219292
done5000292

prune157.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (* 2.0 x) (+ x y))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
4×*-un-lft-identity associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 25
Calls
1 calls:
54.0ms
(* (* 2.0 x) (+ x y))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(* (* 2.0 x) (+ x y))

simplify1.3s

Counts
28 → 28
Iterations

Useful iterations: done (1.3s)

IterNodesCost
059286
1181265
21393229
done5002225

prune49.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 2.0 x) (+ x y))
0.4b
(* (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))))
9.1b
(sqrt (* (* 2.0 x) (+ x y)))
9.1b
(sqrt (* (* 2.0 x) (+ x y)))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
20×associate-*r/
17×pow-prod-up
16×sqrt-div
14×pow1/2
11×add-exp-log add-sqr-sqrt *-un-lft-identity pow-sqr add-cbrt-cube
9×add-cube-cbrt flip3-+ flip-+
8×associate-*r*
6×sqrt-prod
5×associate-*l*
4×expm1-log1p-u frac-times swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×associate-*l/ *-commutative
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out unswap-sqr
Counts
4 → 133
Calls
4 calls:
31.0ms
(* (* 2.0 x) (+ x y))
138.0ms
(* (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))))
19.0ms
(sqrt (* (* 2.0 x) (+ x y)))
18.0ms
(sqrt (* (* 2.0 x) (+ x y)))

series454.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (* 2.0 x) (+ x y))
113.0ms
(* (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))))
145.0ms
(sqrt (* (* 2.0 x) (+ x y)))
155.0ms
(sqrt (* (* 2.0 x) (+ x y)))

simplify2.8s

Counts
145 → 145
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01461953
13941443
227091302
done50001249

prune319.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
188
done88

end0.0ms

sample891.0ms

Algorithm
intervals
Results
524.0ms11165×body80valid