Details

Time bar (total: 12.6s)

sample25.0ms

Algorithm
intervals
Results
12.0ms292×body80valid

simplify165.0ms

Counts
1 → 1
Iterations
IterNodes
done112
12112
11111
10107
9103
897
792
673
562
447
339
226
119
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
6.4b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 associate-/r* times-frac associate-*r* associate-*r/
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
47.0ms
(* x (+ (/ x y) 1.0))
43.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series107.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (+ (/ x y) 1.0))
69.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.4s

Counts
56 → 56
Iterations
IterNodes
done5005
21347
1321
0102

prune319.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp associate-/l/
Counts
2 → 146
Calls
2 calls:
41.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
63.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series165.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
106.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.8s

Counts
152 → 152
Iterations
IterNodes
done5008
22107
1557
0206

prune585.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (+ 1.0 (/ x y)) (+ x 1.0))
0.2b
(* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
33×times-frac
27×add-sqr-sqrt
22×associate-*r* add-cube-cbrt
18×distribute-lft-out
9×add-cbrt-cube add-exp-log
4×pow1 associate-/r* associate-/r/ associate-/l*
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
2 → 81
Calls
2 calls:
43.0ms
(/ (+ 1.0 (/ x y)) (+ x 1.0))
59.0ms
(* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ (+ 1.0 (/ x y)) (+ x 1.0))
71.0ms
(* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))

simplify1.2s

Counts
87 → 87
Iterations
IterNodes
done5001
21231
1346
0124

prune383.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ x y) (/ x y))
0.3b
(* (/ x y) (/ x y))
0.7b
(* (+ (* (* 1.0 1.0) 1.0) (* (* (/ x y) (/ x y)) (/ x y))) (/ x (+ x 1.0)))
11.5b
(/ (* (+ (* (* 1.0 1.0) 1.0) (* (* (/ x y) (/ x y)) (/ x y))) (/ x (+ x 1.0))) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0))))

rewrite474.0ms

Algorithm
rewrite-expression-head
Rules
100×add-sqr-sqrt
96×times-frac
77×*-un-lft-identity
71×add-cube-cbrt
44×associate-*r*
42×add-cbrt-cube add-exp-log
30×associate-*l*
26×swap-sqr
20×pow1
13×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×associate-/r/ div-inv unswap-sqr
8×frac-times associate-*l/
6×flip3-+ frac-add associate-*r/ flip-+
5×associate-/l/
4×add-log-exp
3×associate-/r* flip3-- pow-prod-down *-commutative flip-- distribute-lft-out
2×pow2 pow-plus pow3 pow-sqr pow-prod-up
1×clear-num frac-2neg sum-cubes associate-/l*
Counts
4 → 212
Calls
4 calls:
34.0ms
(* (/ x y) (/ x y))
18.0ms
(* (/ x y) (/ x y))
262.0ms
(* (+ (* (* 1.0 1.0) 1.0) (* (* (/ x y) (/ x y)) (/ x y))) (/ x (+ x 1.0)))
144.0ms
(/ (* (+ (* (* 1.0 1.0) 1.0) (* (* (/ x y) (/ x y)) (/ x y))) (/ x (+ x 1.0))) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0))))

series354.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (/ x y) (/ x y))
31.0ms
(* (/ x y) (/ x y))
140.0ms
(* (+ (* (* 1.0 1.0) 1.0) (* (* (/ x y) (/ x y)) (/ x y))) (/ x (+ x 1.0)))
148.0ms
(/ (* (+ (* (* 1.0 1.0) 1.0) (* (* (/ x y) (/ x y)) (/ x y))) (/ x (+ x 1.0))) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0))))

simplify2.9s

Counts
224 → 224
Iterations
IterNodes
done5002
24696
11039
0301

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample658.0ms

Algorithm
intervals
Results
473.0ms9134×body80valid