Details

Time bar (total: 17.7s)

sample30.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
13617
215617
353517
4228117
done500017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.1b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite336.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 146
Calls
3 calls:
57.0ms
(* (+ x y) (+ x y))
181.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
87.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series281.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(* (+ x y) (+ x y))
52.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
207.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify690.0ms

Counts
155 → 155
Iterations

Useful iterations: done (683.0ms)

IterNodesCost
02243413
18833113
done50002844

prune473.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 8.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ (+ x y) 1.0))
0.0b
(* (+ x y) (+ x y))
0.1b
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
17.7b
(/ x (* (+ x y) (+ x y)))

rewrite318.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
43×add-sqr-sqrt
40×times-frac
34×add-exp-log add-cbrt-cube
31×add-cube-cbrt
27×distribute-lft-out
25×associate-*r*
20×flip3-+ associate-/r/ flip-+
19×associate-*l*
13×pow1 frac-times
10×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*r/ associate-*l/
6×swap-sqr associate-/r* associate-/l*
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×frac-2neg pow-prod-down clear-num *-commutative
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-sqr pow-prod-up
Counts
4 → 178
Calls
4 calls:
38.0ms
(/ y (+ (+ x y) 1.0))
44.0ms
(* (+ x y) (+ x y))
211.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
18.0ms
(/ x (* (+ x y) (+ x y)))

series381.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ y (+ (+ x y) 1.0))
16.0ms
(* (+ x y) (+ x y))
222.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
86.0ms
(/ x (* (+ x y) (+ x y)))

simplify2.0s

Counts
190 → 190
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02252961
16372680
227232397
done50012293

prune643.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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

rewrite368.0ms

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-exp-log add-cbrt-cube
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×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 318
Calls
4 calls:
16.0ms
(/ x (+ x y))
48.0ms
(/ y (+ (+ x y) 1.0))
244.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))
40.0ms
(/ (/ x (+ x y)) (+ x y))

series455.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ x (+ x y))
69.0ms
(/ y (+ (+ x y) 1.0))
221.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))
94.0ms
(/ (/ x (+ x y)) (+ x y))

simplify2.2s

Counts
330 → 330
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03375725
19705401
230565031
done50014920

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize21.0ms

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

rewrite422.0ms

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-exp-log add-cbrt-cube
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×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 342
Calls
4 calls:
21.0ms
(/ x (+ x y))
74.0ms
(/ y (+ (+ x y) 1.0))
200.0ms
(* (/ x (+ x y)) (/ (/ y (+ (+ x y) 1.0)) (+ y x)))
93.0ms
(/ (/ y (+ (+ x y) 1.0)) (+ y x))

series557.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ x (+ x y))
65.0ms
(/ y (+ (+ x y) 1.0))
270.0ms
(* (/ x (+ x y)) (/ (/ y (+ (+ x y) 1.0)) (+ y x)))
164.0ms
(/ (/ y (+ (+ x y) 1.0)) (+ y x))

simplify2.8s

Counts
354 → 354
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
03616623
110396113
237565806
done50015806

prune969.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11217
done1217

end0.0ms

sample924.0ms

Algorithm
intervals
Results
576.0ms8000×body80valid