Details

Time bar (total: 10.4s)

sample28.0ms

Algorithm
intervals
Results
13.0ms298×body80valid

simplify703.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
7.8b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×flip3-+ times-frac associate-*r/ associate-*r* associate-/r* flip-+ distribute-lft-out
3×associate-*l*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 62
Calls
3 calls:
23.0ms
(+ (/ x y) 1.0)
56.0ms
(* x (+ (/ x y) 1.0))
38.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series103.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ (/ x y) 1.0)
33.0ms
(* x (+ (/ x y) 1.0))
52.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify623.0ms

Counts
71 → 71

prune195.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

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))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
158×*-un-lft-identity
146×times-frac
72×add-sqr-sqrt add-cube-cbrt
43×distribute-lft-out
26×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
7×flip3-+ flip-+ associate-/l*
6×div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×+-commutative sum-log
Counts
3 → 158
Calls
3 calls:
16.0ms
(+ (/ x y) 1.0)
54.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
59.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series138.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(+ (/ x y) 1.0)
45.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
72.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify778.0ms

Counts
167 → 167

prune406.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

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:
44.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
10.0ms
(cbrt (+ (/ x y) 1.0))
14.0ms
(cbrt (+ (/ x y) 1.0))
24.0ms
(cbrt (+ (/ x y) 1.0))

series1.0s

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
305.0ms
(cbrt (+ (/ x y) 1.0))
313.0ms
(cbrt (+ (/ x y) 1.0))
281.0ms
(cbrt (+ (/ x y) 1.0))

simplify1.4s

Counts
107 → 107

prune382.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.3b
(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.3b
(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.3b
(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
279×*-un-lft-identity
206×cbrt-prod
158×times-frac
103×add-sqr-sqrt
88×distribute-lft-out
79×add-cube-cbrt
45×swap-sqr
25×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 218
Calls
4 calls:
174.0ms
(* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))
20.0ms
(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
15.0ms
(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
15.0ms
(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))

series735.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))
158.0ms
(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
183.0ms
(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
181.0ms
(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))

simplify804.0ms

Counts
230 → 230

prune685.0ms

Pruning

7 alts after pruning (4 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

simplify886.0ms

end0.0ms

sample738.0ms

Algorithm
intervals
Results
464.0ms9197×body80valid