Details

Time bar (total: 22.3s)

sample49.0ms

Algorithm
intervals
Results
18.0ms297×body80valid

simplify440.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
8.8b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite199.0ms

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 insert-posit16 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 → 52
Calls
2 calls:
125.0ms
(* x (+ (/ x y) 1.0))
70.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series148.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* x (+ (/ x y) 1.0))
88.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify2.4s

Counts
58 → 58
Iterations
IterNodes
done5001
21306
1322
0104

prune552.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite193.0ms

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 insert-posit16 add-log-exp associate-/l/
Counts
2 → 148
Calls
2 calls:
96.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
80.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series183.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
110.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify3.3s

Counts
154 → 154
Iterations
IterNodes
done5004
22109
1559
0208

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite144.0ms

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×frac-times cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod insert-posit16 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 → 79
Calls
2 calls:
20.0ms
(/ x (+ x 1.0))
114.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series126.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ x (+ x 1.0))
81.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify3.5s

Counts
85 → 85
Iterations
IterNodes
done5005
22286
1504
0142

prune780.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite418.0ms

Algorithm
rewrite-expression-head
Rules
139×*-un-lft-identity
120×times-frac
116×add-sqr-sqrt
79×sqrt-prod
69×add-cube-cbrt
34×associate-*r*
32×add-exp-log distribute-lft-out
27×associate-*l*
20×add-cbrt-cube
15×unswap-sqr
14×associate-/r*
11×div-exp
10×sqrt-div
9×pow1
8×prod-exp associate-/r/
7×associate-/l*
6×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod insert-posit16 div-inv add-log-exp
3×rec-exp 1-exp pow-flip
2×clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
1×frac-times rem-sqrt-square pow-prod-down associate-*l/ associate-*r/ *-commutative inv-pow
Counts
4 → 226
Calls
4 calls:
39.0ms
(sqrt (+ (/ x y) 1.0))
56.0ms
(/ 1 (sqrt (+ (/ x y) 1.0)))
61.0ms
(/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))
237.0ms
(* (/ 1 (sqrt (+ (/ x y) 1.0))) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
448.0ms
(sqrt (+ (/ x y) 1.0))
282.0ms
(/ 1 (sqrt (+ (/ x y) 1.0)))
340.0ms
(/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))
112.0ms
(* (/ 1 (sqrt (+ (/ x y) 1.0))) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0))))

simplify4.3s

Counts
238 → 238
Iterations
IterNodes
done5000
21935
1655
0231

prune1.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes271.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample879.0ms

Algorithm
intervals
Results
567.0ms9192×body80valid