Details

Time bar (total: 22.2s)

sample33.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09243
136243
2148243
3579243
42278243
done5011243

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x y) 1.0)
0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
21.8b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite343.0ms

Algorithm
rewrite-expression-head
Rules
61×flip3-+ flip-+
60×frac-times
33×*-un-lft-identity
32×add-cbrt-cube add-exp-log
30×associate-*l/
26×associate-/r/
18×associate-*r/
16×pow1
13×prod-exp cbrt-unprod
12×add-sqr-sqrt distribute-lft-out
9×associate-*r* add-cube-cbrt add-log-exp
6×cbrt-undiv swap-sqr div-exp
5×associate-*l*
4×pow-prod-down
3×sum-log
2×distribute-rgt-in distribute-lft-in *-commutative unswap-sqr
1×pow2 +-commutative associate-+l+ clear-num associate-/r* frac-2neg times-frac pow-plus pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 155
Calls
4 calls:
21.0ms
(+ (+ x y) 1.0)
26.0ms
(* (+ x y) (+ x y))
182.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
101.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series342.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ (+ x y) 1.0)
16.0ms
(* (+ x y) (+ x y))
73.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
235.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.7s

Counts
167 → 167
Iterations

Useful iterations: done (1.7s)

IterNodesCost
022873652
198352618
done500051338

prune745.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.8b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(/ y (+ (+ x y) 1.0))
0.1b
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
20.5b
(/ x (* (+ x y) (+ x y)))

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
43×add-sqr-sqrt
40×times-frac
34×add-cbrt-cube add-exp-log
31×add-cube-cbrt
27×distribute-lft-out
25×associate-*r*
20×flip3-+ associate-/r/ flip-+
19×associate-*l*
13×frac-times pow1
10×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l/ associate-*r/
6×associate-/r* swap-sqr associate-/l*
5×unswap-sqr
4×div-inv add-log-exp
2×clear-num frac-2neg pow-prod-down *-commutative
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-sqr pow-prod-up
Counts
4 → 170
Calls
4 calls:
33.0ms
(* (+ x y) (+ x y))
42.0ms
(/ y (+ (+ x y) 1.0))
155.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
24.0ms
(/ x (* (+ x y) (+ x y)))

series402.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (+ x y) (+ x y))
73.0ms
(/ y (+ (+ x y) 1.0))
210.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
93.0ms
(/ x (* (+ x y) (+ x y)))

simplify3.2s

Counts
182 → 182
Iterations

Useful iterations: done (3.2s)

IterNodesCost
021750940
171542574
2318141931
done508140811

prune873.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite326.0ms

Algorithm
rewrite-expression-head
Rules
313×*-un-lft-identity
303×times-frac
163×add-sqr-sqrt
142×add-cube-cbrt
89×distribute-lft-out
78×associate-*l*
34×add-cbrt-cube add-exp-log
28×associate-/r/
24×associate-/l*
21×associate-*r*
14×cbrt-undiv flip3-+ div-exp flip-+ div-inv
13×associate-/r*
6×pow1 prod-exp cbrt-unprod unswap-sqr
4×add-log-exp
3×clear-num frac-2neg
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 310
Calls
4 calls:
13.0ms
(/ x (+ x y))
27.0ms
(/ y (+ (+ x y) 1.0))
43.0ms
(/ (/ x (+ x y)) (+ x y))
210.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series465.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ x (+ x y))
56.0ms
(/ y (+ (+ x y) 1.0))
107.0ms
(/ (/ x (+ x y)) (+ x y))
225.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify3.0s

Counts
322 → 322
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0329102960
1102094389
2357691781
done500291341

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite350.0ms

Algorithm
rewrite-expression-head
Rules
411×*-un-lft-identity
351×times-frac
177×add-sqr-sqrt
156×add-cube-cbrt
143×distribute-lft-out
90×associate-*r*
34×add-cbrt-cube add-exp-log
28×associate-/r/
27×associate-/l*
18×associate-*l*
14×cbrt-undiv flip3-+ div-exp flip-+ div-inv
13×associate-/r*
6×pow1 prod-exp cbrt-unprod unswap-sqr
4×add-log-exp
3×clear-num frac-2neg
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 334
Calls
4 calls:
18.0ms
(/ x (+ x y))
27.0ms
(/ y (+ (+ x y) 1.0))
192.0ms
(* (/ x (+ x y)) (/ (/ y (+ (+ x y) 1.0)) (+ x y)))
91.0ms
(/ (/ y (+ (+ x y) 1.0)) (+ x y))

series487.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ x (+ x y))
80.0ms
(/ y (+ (+ x y) 1.0))
240.0ms
(* (/ x (+ x y)) (/ (/ y (+ (+ x y) 1.0)) (+ x y)))
111.0ms
(/ (/ y (+ (+ x y) 1.0)) (+ x y))

simplify3.5s

Counts
346 → 346
Iterations

Useful iterations: 2 (2.1s)

IterNodesCost
0339120875
11077107370
24199105035
done5015105035

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09243
112243
done12243

end0.0ms

sample594.0ms

Algorithm
intervals
Results
430.0ms8000×body80valid