Details

Time bar (total: 12.8s)

sample45.0ms

Algorithm
intervals
Results
28.0ms365×body80valid

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
079
1187
2367
3557
done557

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite100.0ms

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:
66.0ms
(* (* x (+ x y)) 2.0)
32.0ms
(* x (+ x y))

series77.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (* x (+ x y)) 2.0)
30.0ms
(* x (+ x y))

simplify3.4s

Counts
49 → 49
Iterations

Useful iterations: 2 (183.0ms)

IterNodesCost
072439
1198407
2766349
33936349
done5000349

prune85.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (* (+ x y) 2.0))

rewrite36.0ms

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:
36.0ms
(* x (* (+ x y) 2.0))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* x (* (+ x y) 2.0))

simplify1.6s

Counts
23 → 23
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
052242
1147223
2533185
32463185
done5002185

prune54.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* y y))
0.0b
(* (/ (* x (- (* x x) (* y y))) (- x y)) 2.0)
4.6b
(* x (- (* x x) (* y y)))
18.3b
(/ (* x (- (* x x) (* y y))) (- x y))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
20×add-exp-log add-cbrt-cube
17×*-un-lft-identity
14×associate-*l*
11×add-cube-cbrt
10×times-frac
8×pow1
7×associate-*r*
6×prod-exp cbrt-unprod add-log-exp
5×flip3-- associate-/r* flip-- difference-of-squares
4×cbrt-undiv associate-*r/ div-exp associate-/r/
3×sub-neg distribute-lft-out--
2×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative div-inv associate-/l/ unswap-sqr
1×frac-2neg diff-log associate-*l/ clear-num associate-/l*
Counts
4 → 98
Calls
4 calls:
13.0ms
(- (* x x) (* y y))
82.0ms
(* (/ (* x (- (* x x) (* y y))) (- x y)) 2.0)
40.0ms
(* x (- (* x x) (* y y)))
56.0ms
(/ (* x (- (* x x) (* y y))) (- x y))

series306.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* x x) (* y y))
112.0ms
(* (/ (* x (- (* x x) (* y y))) (- x y)) 2.0)
53.0ms
(* x (- (* x x) (* y y)))
92.0ms
(/ (* x (- (* x x) (* y y))) (- x y))

simplify1.3s

Counts
110 → 110
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01491705
13961628
214471348
done50011114

prune325.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sqrt x) (* (sqrt x) (* (+ x y) 2.0)))
0.1b
(* (sqrt x) (* (+ x y) 2.0))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/ sqrt-prod
4×associate-*l/
2×flip3-+ associate-*r* *-commutative flip-+ add-log-exp
Counts
2 → 49
Calls
2 calls:
81.0ms
(* (sqrt x) (* (sqrt x) (* (+ x y) 2.0)))
49.0ms
(* (sqrt x) (* (+ x y) 2.0))

series174.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(* (sqrt x) (* (sqrt x) (* (+ x y) 2.0)))
82.0ms
(* (sqrt x) (* (+ x y) 2.0))

simplify3.9s

Counts
55 → 55
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
094756
1274615
2955499
34663491
done5001491

prune110.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes33.0ms

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

sample773.0ms

Algorithm
intervals
Results
522.0ms11077×body80valid