Details

Time bar (total: 8.9s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify21.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize5.0ms

Local error

Found 1 expressions with local error:

6.8b
(/ (* x y) (+ y 1.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×pow1 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
16.0ms
(/ (* x y) (+ y 1.0))

series60.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (* x y) (+ y 1.0))

simplify1.4s

Counts
28 → 28

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/r* associate-/r/
3×associate-*l* associate-/l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 70
Calls
2 calls:
12.0ms
(/ y (+ y 1.0))
52.0ms
(* x (/ y (+ y 1.0)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ y (+ y 1.0))
59.0ms
(* x (/ y (+ y 1.0)))

simplify580.0ms

Counts
76 → 76

prune163.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
198×times-frac
155×*-un-lft-identity
117×add-sqr-sqrt
103×add-cube-cbrt
53×associate-*r*
35×add-exp-log
25×distribute-lft-out
19×associate-/r* add-cbrt-cube
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp associate-/l*
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/r/ associate-/l/
1×pow-flip flip3-+ associate-*r/ pow-prod-down un-div-inv *-commutative flip-+ inv-pow
Counts
3 → 203
Calls
3 calls:
20.0ms
(/ (+ y 1.0) y)
57.0ms
(* x (/ 1 (/ (+ y 1.0) y)))
24.0ms
(/ 1 (/ (+ y 1.0) y))

series151.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ (+ y 1.0) y)
50.0ms
(* x (/ 1 (/ (+ y 1.0) y)))
46.0ms
(/ 1 (/ (+ y 1.0) y))

simplify1.2s

Counts
212 → 212

prune516.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite309.0ms

Algorithm
rewrite-expression-head
Rules
1158×times-frac
665×*-un-lft-identity
524×add-sqr-sqrt
489×add-cube-cbrt
239×associate-*r*
105×add-exp-log
85×distribute-lft-out
67×div-inv
66×div-exp
58×associate-/r/
35×add-cbrt-cube
28×flip3-+ flip-+
21×associate-/l*
17×cbrt-undiv rec-exp 1-exp prod-exp associate-/r*
10×unswap-sqr
6×pow1
5×cbrt-unprod
3×associate-*l* add-log-exp
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down *-commutative associate-/l/ inv-pow
Counts
3 → 618
Calls
3 calls:
12.0ms
(/ 1 (+ y 1.0))
187.0ms
(* x (/ (/ 1 (+ y 1.0)) (/ 1 y)))
61.0ms
(/ (/ 1 (+ y 1.0)) (/ 1 y))

series136.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (+ y 1.0))
56.0ms
(* x (/ (/ 1 (+ y 1.0)) (/ 1 y)))
43.0ms
(/ (/ 1 (+ y 1.0)) (/ 1 y))

simplify1.1s

Counts
627 → 627

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes51.0ms

Accuracy

-11559.1% (7.9b remaining)

Error of 7.9b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify439.0ms

end0.0ms

sample683.0ms

Algorithm
intervals
Results
331.0ms8000×body80valid