Details

Time bar (total: 14.6s)

sample28.0ms

Algorithm
intervals
Results
14.0ms295×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08203
119203
230203
345203
460203
574203
686203
7120203
8148203
9166203
10170203
11277203
12595203
131561203
144468203
done5000203

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
8.5b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
16×add-sqr-sqrt
14×add-cube-cbrt
13×fma-def times-frac
10×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
4×associate-/r* flip3-+ associate-*r* associate-*r/ flip-+ distribute-lft-out
3×expm1-log1p-u associate-*l* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod div-inv associate-/l/
1×distribute-rgt-in +-commutative clear-num sum-log frac-2neg distribute-lft-in pow-prod-down *-commutative associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
14.0ms
(+ (/ x y) 1.0)
40.0ms
(* x (+ (/ x y) 1.0))
26.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series125.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ (/ x y) 1.0)
43.0ms
(* x (+ (/ x y) 1.0))
63.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.4s

Counts
90 → 90
Iterations

Useful iterations: done (1.4s)

IterNodesCost
011218096
133915617
2192815340
done500015300

prune413.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
165×*-un-lft-identity
155×times-frac
79×add-sqr-sqrt add-cube-cbrt
43×distribute-lft-out
26×associate-/r*
13×fma-def
11×associate-/r/
10×add-cbrt-cube add-exp-log
7×flip3-+ flip-+ div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 log1p-expm1-u
2×clear-num frac-2neg associate-/l/
1×+-commutative sum-log
Counts
3 → 177
Calls
3 calls:
28.0ms
(+ (/ x y) 1.0)
62.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
43.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series161.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (/ x y) 1.0)
58.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
90.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify2.5s

Counts
186 → 186
Iterations

Useful iterations: 2 (829.0ms)

IterNodesCost
021665401
158059701
2317958290
done500158290

prune865.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
821×times-frac
629×*-un-lft-identity
351×add-sqr-sqrt add-cube-cbrt
139×distribute-lft-out
77×associate-/r*
35×associate-/r/
32×add-exp-log
29×associate-/l*
24×div-inv
20×add-cbrt-cube
19×flip3-+ div-exp flip-+
13×fma-def
10×cbrt-undiv
6×add-log-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u
3×rec-exp clear-num frac-2neg 1-exp associate-/l/
1×+-commutative sum-log pow-flip inv-pow
Counts
4 → 487
Calls
4 calls:
14.0ms
(+ (/ x y) 1.0)
65.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
37.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
54.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series257.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (/ x y) 1.0)
97.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
90.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
56.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify1.8s

Counts
499 → 499
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0522253780
11508211634
done5000204829

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
0.1b
(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
11.0b
(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite263.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
20×add-cbrt-cube add-exp-log
18×prod-diff
17×times-frac
13×fma-def associate-*l*
12×distribute-rgt-in distribute-lft-in
9×associate-*r*
8×pow1
6×prod-exp associate-*r/ cbrt-unprod add-log-exp
4×expm1-log1p-u cbrt-undiv associate-/r* flip3-- div-exp associate-/r/ log1p-expm1-u flip-- difference-of-squares
3×flip3-+ flip-+ div-inv
2×frac-times sub-neg pow-prod-down *-commutative distribute-lft-out unswap-sqr associate-/l/
1×+-commutative clear-num sum-log frac-2neg associate-*l/ associate-/l* distribute-lft-out--
Counts
4 → 141
Calls
4 calls:
26.0ms
(+ (/ x y) 1.0)
76.0ms
(* x (+ (/ x y) 1.0))
120.0ms
(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
32.0ms
(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (/ x y) 1.0)
32.0ms
(* x (+ (/ x y) 1.0))
87.0ms
(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
96.0ms
(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify943.0ms

Counts
153 → 153
Iterations

Useful iterations: done (917.0ms)

IterNodesCost
023760848
177955075
done500149772

prune746.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes98.0ms

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 (1.0ms)

IterNodesCost
08203
110203
done10203

end0.0ms

sample699.0ms

Algorithm
intervals
Results
487.0ms9148×body80valid