Details

Time bar (total: 12.8s)

sample21.0ms

Algorithm
intervals
Results
9.0ms359×body80valid

simplify23.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
079
1187
2367
3557
done557

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity associate-*r*
5×add-cube-cbrt
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*l/ *-commutative flip-+ add-log-exp
1×distribute-rgt-in distribute-lft-in distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
49.0ms
(* (* x (+ x y)) 2.0)
30.0ms
(* x (+ x y))

series96.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (* x (+ x y)) 2.0)
43.0ms
(* x (+ x y))

simplify3.7s

Counts
49 → 49
Iterations

Useful iterations: 2 (180.0ms)

IterNodesCost
072439
1198407
2766349
33936349
done5000349

prune123.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l/
1×flip3-+ associate-*r* *-commutative flip-+ add-log-exp
Counts
1 → 20
Calls
1 calls:
50.0ms
(* x (* (+ x y) 2.0))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* x (* (+ x y) 2.0))

simplify1.8s

Counts
23 → 23
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
052242
1147223
2533185
32463185
done5002185

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×distribute-rgt-out flip3-+ associate-*l/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
34.0ms
(* (+ (* x x) (* y x)) 2.0)
8.0ms
(+ (* x x) (* y x))

series100.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(* (+ (* x x) (* y x)) 2.0)
35.0ms
(+ (* x x) (* y x))

simplify2.3s

Counts
39 → 39
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
061469
1164365
2641317
32659317
done5000317

prune84.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ x y))
0.1b
(* (sqrt (* x (+ x y))) (sqrt (* x (+ x y))))
7.3b
(sqrt (* x (+ x y)))
7.3b
(sqrt (* x (+ x y)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ flip-+
8×add-exp-log associate-*r* add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 106
Calls
4 calls:
37.0ms
(* x (+ x y))
82.0ms
(* (sqrt (* x (+ x y))) (sqrt (* x (+ x y))))
7.0ms
(sqrt (* x (+ x y)))
7.0ms
(sqrt (* x (+ x y)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* x (+ x y))
29.0ms
(* (sqrt (* x (+ x y))) (sqrt (* x (+ x y))))
70.0ms
(sqrt (* x (+ x y)))
73.0ms
(sqrt (* x (+ x y)))

simplify2.7s

Counts
118 → 118
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01151332
1250978
2771904
33155862
done5002856

prune278.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end0.0ms

sample842.0ms

Algorithm
intervals
Results
493.0ms11068×body80valid