Details

Time bar (total: 11.8s)

sample29.0ms

Algorithm
intervals
Results
20.0ms297×body80valid

simplify118.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
8.3b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite76.0ms

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* insert-posit16 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 → 84
Calls
3 calls:
19.0ms
(+ (/ x y) 1.0)
33.0ms
(* x (+ (/ x y) 1.0))
22.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series123.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ (/ x y) 1.0)
43.0ms
(* x (+ (/ x y) 1.0))
60.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.2s

Counts
93 → 93
Iterations
IterNodes
done5013
21402
1340
0115

prune432.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

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 insert-posit16 log1p-expm1-u
2×clear-num frac-2neg associate-/l/
1×+-commutative sum-log
Counts
3 → 180
Calls
3 calls:
18.0ms
(+ (/ x y) 1.0)
22.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
41.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series134.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (/ x y) 1.0)
47.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
74.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.5s

Counts
189 → 189
Iterations
IterNodes
done5003
22131
1577
0219

prune539.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
38×add-sqr-sqrt times-frac
32×add-exp-log
31×add-cube-cbrt
20×add-cbrt-cube
18×associate-*r*
13×fma-def
11×div-exp
10×associate-/r/
9×distribute-lft-out
8×prod-exp
7×pow1 flip3-+ flip-+
6×cbrt-undiv associate-/l* add-log-exp
5×associate-/r*
4×expm1-log1p-u frac-times associate-*l* associate-*l/ cbrt-unprod insert-posit16 log1p-expm1-u div-inv
3×rec-exp 1-exp unswap-sqr
2×clear-num frac-2neg associate-*r/ un-div-inv
1×+-commutative sum-log pow-prod-down *-commutative pow-flip inv-pow
Counts
4 → 151
Calls
4 calls:
12.0ms
(+ (/ x y) 1.0)
41.0ms
(* (+ x 1.0) (/ 1 (+ (/ x y) 1.0)))
19.0ms
(/ x (* (+ x 1.0) (/ 1 (+ (/ x y) 1.0))))
14.0ms
(/ 1 (+ (/ x y) 1.0))

series222.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ (/ x y) 1.0)
93.0ms
(* (+ x 1.0) (/ 1 (+ (/ x y) 1.0)))
52.0ms
(/ x (* (+ x 1.0) (/ 1 (+ (/ x y) 1.0))))
61.0ms
(/ 1 (+ (/ x y) 1.0))

simplify1.3s

Counts
163 → 163
Iterations
IterNodes
done5000
21824
1478
0184

prune493.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
794×times-frac
636×*-un-lft-identity
338×add-sqr-sqrt add-cube-cbrt
149×distribute-lft-out
77×associate-/r*
32×add-exp-log
28×div-inv
23×associate-/l*
20×add-cbrt-cube
19×div-exp
11×associate-/r/
10×cbrt-undiv
7×flip3-+ flip-+
6×add-log-exp
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×rec-exp clear-num fma-def frac-2neg 1-exp associate-/l/
1×+-commutative sum-log pow-flip inv-pow
Counts
4 → 469
Calls
4 calls:
12.0ms
(+ 1.0 (/ x y))
18.0ms
(/ (+ 1.0 x) x)
25.0ms
(/ (/ (+ 1.0 x) x) (+ 1.0 (/ x y)))
43.0ms
(/ 1 (/ (/ (+ 1.0 x) x) (+ 1.0 (/ x y))))

series292.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ 1.0 (/ x y))
63.0ms
(/ (+ 1.0 x) x)
139.0ms
(/ (/ (+ 1.0 x) x) (+ 1.0 (/ x y)))
76.0ms
(/ 1 (/ (/ (+ 1.0 x) x) (+ 1.0 (/ x y))))

simplify2.4s

Counts
481 → 481
Iterations
IterNodes
done5000
24126
11325
0489

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes86.0ms

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

sample1.3s

Algorithm
intervals
Results
757.0ms9122×body80valid