Details

Time bar (total: 9.3s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify858.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0917
13617
213417
344417
4143617
done500217

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.8b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite119.0ms

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:
17.0ms
(* (+ x y) (+ x y))
61.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
34.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series220.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* (+ x y) (+ x y))
44.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
161.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.4s

Counts
155 → 155
Iterations

Useful iterations: 2 (332.0ms)

IterNodesCost
02243413
18173113
246192834
done50002834

prune321.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.0b

localize8.0ms

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)))
18.9b
(/ x (* (+ x y) (+ x y)))

rewrite122.0ms

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:
18.0ms
(/ y (+ (+ x y) 1.0))
17.0ms
(* (+ x y) (+ x y))
72.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms
(/ x (* (+ x y) (+ x y)))

series289.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ y (+ (+ x y) 1.0))
15.0ms
(* (+ x y) (+ x y))
159.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
66.0ms
(/ x (* (+ x y) (+ x y)))

simplify1.1s

Counts
190 → 190
Iterations

Useful iterations: 2 (335.0ms)

IterNodesCost
02252961
16622680
229452397
done50012397

prune374.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
92×*-un-lft-identity
70×times-frac
64×add-sqr-sqrt
61×add-cbrt-cube
47×add-cube-cbrt
42×prod-exp
39×associate-*r*
36×div-exp
23×distribute-lft-out
22×cbrt-unprod
19×cbrt-undiv associate-*l*
12×pow1
10×associate-/r/
8×associate-/r*
7×rec-exp 1-exp
6×frac-times associate-*l/ associate-/l* unswap-sqr
5×flip3-+ flip-+ div-inv
4×expm1-log1p-u associate-*r/ pow-prod-down log1p-expm1-u add-log-exp
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 211
Calls
4 calls:
8.0ms
(/ 1 (+ x y))
5.0ms
(/ x (+ x y))
31.0ms
(* (/ 1 (+ x y)) (/ x (+ x y)))
68.0ms
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

series306.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ 1 (+ x y))
40.0ms
(/ x (+ x y))
65.0ms
(* (/ 1 (+ x y)) (/ x (+ x y)))
165.0ms
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

simplify1.1s

Counts
223 → 223
Iterations

Useful iterations: 2 (392.0ms)

IterNodesCost
02683582
18173009
230502544
done50012544

prune359.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x y))
0.0b
(/ x (+ x y))
0.0b
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
0.2b
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
99×add-exp-log
90×*-un-lft-identity
67×times-frac
61×add-cbrt-cube
59×add-sqr-sqrt
47×add-cube-cbrt
40×prod-exp
36×associate-*l*
33×div-exp
23×distribute-lft-out
22×associate-*r* cbrt-unprod
19×cbrt-undiv
12×pow1
10×associate-/r/
8×associate-/r*
6×frac-times rec-exp 1-exp associate-*r/ associate-/l*
5×flip3-+ flip-+ div-inv
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 207
Calls
4 calls:
6.0ms
(/ 1 (+ x y))
7.0ms
(/ x (+ x y))
57.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
64.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series368.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ 1 (+ x y))
42.0ms
(/ x (+ x y))
124.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
167.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify1.3s

Counts
219 → 219
Iterations

Useful iterations: 2 (391.0ms)

IterNodesCost
02633647
17993222
228902738
done50002738

prune372.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11217
done1217

end0.0ms

sample360.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid