Details

Time bar (total: 12.2s)

sample27.0ms

Algorithm
intervals
Results
16.0ms286×body80valid

simplify152.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
10.4b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite50.0ms

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:
27.0ms
(* x (+ (/ x y) 1.0))
22.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series78.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (+ (/ x y) 1.0))
45.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.1s

Counts
58 → 58
Iterations
IterNodes
done5022
21342
1322
0104

prune216.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

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))

rewrite69.0ms

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:
27.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
39.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series149.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
92.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.5s

Counts
154 → 154
Iterations
IterNodes
done5004
22119
1559
0208

prune431.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
0.5b
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.5b
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.5b
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
1062×times-frac
1022×*-un-lft-identity
641×cbrt-prod
478×add-sqr-sqrt
422×add-cube-cbrt
264×distribute-lft-out
134×swap-sqr
74×associate-*r* associate-*l*
49×associate-/r/
28×div-inv
21×flip3-+ flip-+
16×unswap-sqr
11×pow1
9×pow1/3
7×cbrt-div
6×add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 563
Calls
4 calls:
94.0ms
(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
9.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
9.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
9.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
290.0ms
(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
226.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
217.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
268.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

simplify2.1s

Counts
575 → 575
Iterations
IterNodes
done5001
22533
11005
0536

prune2.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) x) (* 1.0 x))
0.1b
(* (/ x y) x)
10.4b
(/ (+ (* (/ x y) x) (* 1.0 x)) (+ x 1.0))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
26×add-sqr-sqrt times-frac
21×add-cube-cbrt
13×associate-*l*
10×add-cbrt-cube add-exp-log
6×distribute-rgt-out
5×pow1 distribute-lft-out add-log-exp
4×associate-/r* associate-/l*
3×flip3-+ associate-*r* flip-+ insert-posit16
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative clear-num sum-log frac-2neg pow-prod-down associate-*l/ *-commutative
Counts
3 → 87
Calls
3 calls:
10.0ms
(+ (* (/ x y) x) (* 1.0 x))
15.0ms
(* (/ x y) x)
33.0ms
(/ (+ (* (/ x y) x) (* 1.0 x)) (+ x 1.0))

series122.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(+ (* (/ x y) x) (* 1.0 x))
26.0ms
(* (/ x y) x)
53.0ms
(/ (+ (* (/ x y) x) (* 1.0 x)) (+ x 1.0))

simplify1.2s

Counts
96 → 96
Iterations
IterNodes
done5004
21693
1410
0154

prune370.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes80.0ms

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

sample938.0ms

Algorithm
intervals
Results
795.0ms9073×body80valid