Details

Time bar (total: 4.3s)

sample27.0ms

Algorithm
intervals
Results
13.0ms290×body80valid

simplify13.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
7.6b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 times-frac associate-*r/ associate-*r* associate-/r*
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
67.0ms
(* x (+ (/ x y) 1.0))
44.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series76.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* x (+ (/ x y) 1.0))
46.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify31.0ms

Counts
56 → 56

prune136.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize12.0ms

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))

rewrite112.0ms

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-exp-log add-cbrt-cube
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
2 → 146
Calls
2 calls:
45.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
56.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series146.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
94.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify54.0ms

Counts
152 → 152

prune310.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
33×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt associate-*r*
18×distribute-lft-out
9×add-exp-log add-cbrt-cube
4×pow1 associate-/r* associate-/r/ associate-/l*
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 81
Calls
2 calls:
68.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
99.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
57.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify79.0ms

Counts
87 → 87

prune162.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
14.0ms
(cbrt (+ (/ x y) 1.0))
16.0ms
(cbrt (+ (/ x y) 1.0))
14.0ms
(cbrt (+ (/ x y) 1.0))
130.0ms
(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt (+ (/ x y) 1.0))
296.0ms
(cbrt (+ (/ x y) 1.0))
302.0ms
(cbrt (+ (/ x y) 1.0))
298.0ms
(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))

simplify122.0ms

Counts
107 → 107

prune346.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify13.0ms

end0.0ms

sample837.0ms

Algorithm
intervals
Results
530.0ms9170×body80valid