Details

Time bar (total: 13.3s)

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
13617
215217
349917
4203317
done500117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
19.7b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times flip3-+ flip-+
31×add-exp-log add-cbrt-cube
30×associate-*l/
27×*-un-lft-identity
26×associate-/r/
18×associate-*r/
15×pow1
13×prod-exp cbrt-unprod
11×add-sqr-sqrt
9×associate-*r* distribute-lft-out
8×add-cube-cbrt
6×cbrt-undiv swap-sqr div-exp
5×associate-*l*
4×pow-prod-down
3×add-log-exp
2×distribute-rgt-in distribute-lft-in *-commutative unswap-sqr
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* pow-sqr pow-prod-up div-inv associate-/l*
Counts
3 → 140
Calls
3 calls:
32.0ms
(* (+ x y) (+ x y))
112.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
69.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series225.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(* (+ x y) (+ x y))
46.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
163.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify2.0s

Counts
149 → 149
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02183333
18633063
248742795
done50012697

prune345.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 11.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
19.7b
(/ (* x y) (* (* (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))) (+ (+ x y) 1.0)))

rewrite704.0ms

Algorithm
rewrite-expression-head
Rules
568×frac-times
492×cbrt-div
408×flip3-+ flip-+
242×associate-/r/
230×associate-*l/
134×associate-*r/
49×add-exp-log
39×add-cbrt-cube
25×prod-exp cbrt-unprod
13×*-un-lft-identity
12×cbrt-prod
10×cbrt-undiv div-exp
7×add-sqr-sqrt add-cube-cbrt
4×pow1 add-log-exp
3×pow1/3 distribute-lft-out
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 317
Calls
4 calls:
6.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
645.0ms
(/ (* x y) (* (* (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))) (+ (+ x y) 1.0)))

series584.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(cbrt (+ x y))
130.0ms
(cbrt (+ x y))
135.0ms
(cbrt (+ x y))
192.0ms
(/ (* x y) (* (* (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))) (+ (+ x y) 1.0)))

simplify1.2s

Counts
329 → 329
Iterations

Useful iterations: done (1.2s)

IterNodesCost
075512207
1383012087
done500111353

prune1.4s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 7.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ x (* (+ x y) (pow (cbrt (+ x y)) 3))) (/ y (+ (+ x y) 1.0)))
0.6b
(cbrt (+ x y))
0.7b
(pow (cbrt (+ x y)) 3)
17.3b
(/ x (* (+ x y) (pow (cbrt (+ x y)) 3)))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
44×*-un-lft-identity
30×add-cbrt-cube
28×add-sqr-sqrt
23×add-cube-cbrt
22×times-frac
21×associate-*r*
19×prod-exp
18×associate-/r/
17×div-exp
16×cbrt-div
15×flip3-+ associate-*l* flip-+
14×cube-div
12×cbrt-prod distribute-lft-out
9×cbrt-undiv frac-times cbrt-unprod
7×pow1 unpow-prod-down cube-prod
5×associate-*r/ associate-*l/
4×pow-to-exp pow-exp add-log-exp
3×pow-unpow div-inv associate-/l*
2×pow-pow pow1/3 unswap-sqr
1×cube-mult frac-2neg unpow3 pow-prod-down clear-num associate-/r* *-commutative rem-cube-cbrt sqr-pow
Counts
4 → 145
Calls
4 calls:
154.0ms
(* (/ x (* (+ x y) (pow (cbrt (+ x y)) 3))) (/ y (+ (+ x y) 1.0)))
4.0ms
(cbrt (+ x y))
10.0ms
(pow (cbrt (+ x y)) 3)
22.0ms
(/ x (* (+ x y) (pow (cbrt (+ x y)) 3)))

series500.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (/ x (* (+ x y) (pow (cbrt (+ x y)) 3))) (/ y (+ (+ x y) 1.0)))
128.0ms
(cbrt (+ x y))
96.0ms
(pow (cbrt (+ x y)) 3)
90.0ms
(/ x (* (+ x y) (pow (cbrt (+ x y)) 3)))

simplify1.4s

Counts
157 → 157
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02492826
16842071
230601806
done50011799

prune378.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ y (+ (+ x y) 1.0))
0.1b
(* (/ 1 (+ x y)) (/ x (+ x y)))
0.1b
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
105×*-un-lft-identity
103×add-exp-log
73×times-frac
65×add-sqr-sqrt
61×add-cbrt-cube
48×add-cube-cbrt
42×prod-exp
39×associate-*r*
35×div-exp
31×distribute-lft-out
22×cbrt-unprod
19×cbrt-undiv associate-*l*
11×pow1
10×associate-/r/
9×associate-/r*
6×frac-times rec-exp 1-exp associate-*l/ associate-/l* unswap-sqr
5×flip3-+ flip-+ div-inv
4×associate-*r/ pow-prod-down add-log-exp
2×frac-2neg clear-num *-commutative
Counts
4 → 203
Calls
4 calls:
11.0ms
(/ x (+ x y))
33.0ms
(/ y (+ (+ x y) 1.0))
50.0ms
(* (/ 1 (+ x y)) (/ x (+ x y)))
119.0ms
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

series320.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ x (+ x y))
51.0ms
(/ y (+ (+ x y) 1.0))
65.0ms
(* (/ 1 (+ x y)) (/ x (+ x y)))
164.0ms
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

simplify1.4s

Counts
215 → 215
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02663629
17233108
227442622
done50012618

prune340.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11217
done1217

end0.0ms

sample389.0ms

Algorithm
intervals
Results
216.0ms8000×body80valid