Details

Time bar (total: 6.9s)

sample34.0ms

Algorithm
intervals
Results
24.0ms291×body80valid

simplify131.0ms

Counts
1 → 1
Iterations
IterNodes
done128
12128
11127
10123
9119
8113
7100
681
570
455
343
228
119
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
8.6b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite59.0ms

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×expm1-log1p-u cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 log1p-expm1-u 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 → 56
Calls
2 calls:
38.0ms
(* x (+ (/ x y) 1.0))
21.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series83.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* x (+ (/ x y) 1.0))
54.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify889.0ms

Counts
62 → 62
Iterations
IterNodes
done2012
21402
1332
0108

prune246.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite70.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
Counts
2 → 152
Calls
2 calls:
26.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
40.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series179.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
111.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify505.0ms

Counts
158 → 158
Iterations
IterNodes
done2000
1569
0212

prune472.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-cbrt-cube add-exp-log
8×distribute-lft-out
4×pow1 associate-/r* flip3-+ associate-*r* associate-/r/ flip-+
3×associate-/l*
2×expm1-log1p-u frac-times cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down associate-*l/ *-commutative
Counts
2 → 83
Calls
2 calls:
9.0ms
(/ x (+ x 1.0))
54.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series104.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ x (+ x 1.0))
59.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify433.0ms

Counts
89 → 89
Iterations
IterNodes
done2000
1517
0146

prune269.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (/ (+ 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))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
812×times-frac
619×*-un-lft-identity
343×add-sqr-sqrt add-cube-cbrt
138×distribute-lft-out
77×associate-/r*
35×associate-/r/
31×add-exp-log
29×associate-/l*
23×div-inv
19×add-cbrt-cube div-exp
18×flip3-+ flip-+
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×pow-flip inv-pow
Counts
3 → 463
Calls
3 calls:
37.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
23.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
29.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series241.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
87.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
57.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify873.0ms

Counts
472 → 472
Iterations
IterNodes
done2002
11434
0519

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample901.0ms

Algorithm
intervals
Results
713.0ms9166×body80valid