Details

Time bar (total: 3.1s)

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (+ x y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
21.0ms
(/ (- x y) (+ x y))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(/ (- x y) (+ x y))

simplify39.0ms

Counts
49 → 49

prune127.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (/ y (+ x y)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* associate-/r/
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×flip3-+ flip-+ div-inv difference-of-squares
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 94
Calls
3 calls:
11.0ms
(/ y (+ x y))
11.0ms
(/ x (+ x y))
75.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ y (+ x y))
46.0ms
(/ x (+ x y))
81.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify53.0ms

Counts
103 → 103

prune185.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
194×*-un-lft-identity
152×times-frac
118×add-sqr-sqrt
94×add-cube-cbrt
48×swap-sqr
44×distribute-lft-out
36×associate-*r* associate-*l*
32×add-exp-log add-cbrt-cube
20×associate-/r/
18×pow1
10×cbrt-undiv flip3-+ div-exp flip-+ div-inv
8×prod-exp associate-/r* cbrt-unprod unswap-sqr
6×associate-/l*
4×add-log-exp
2×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up
Counts
4 → 242
Calls
4 calls:
11.0ms
(/ x (+ x y))
11.0ms
(/ x (+ x y))
54.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
57.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ x (+ x y))
42.0ms
(/ x (+ x y))
67.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
71.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

simplify87.0ms

Counts
254 → 254

prune486.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
0.2b
(pow (/ x (+ x y)) 3)
11.5b
(cbrt (pow (/ x (+ x y)) 3))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
81×*-un-lft-identity
71×times-frac
54×cbrt-prod
47×add-cube-cbrt
40×unpow-prod-down cube-prod
16×distribute-lft-out
14×difference-of-squares
10×associate-/r/
9×add-exp-log add-cbrt-cube
6×add-log-exp
5×pow1 flip3-+ flip-+ div-inv
4×associate-/r* sqr-pow
3×cube-div pow-unpow associate-/l*
2×cbrt-undiv cube-mult cbrt-div unpow3 div-exp pow-exp rem-cube-cbrt
1×pow-to-exp sub-neg flip3-- pow-pow frac-2neg pow1/3 diff-log clear-num frac-sub flip-- rem-cbrt-cube distribute-lft-out--
Counts
4 → 169
Calls
4 calls:
12.0ms
(/ x (+ x y))
171.0ms
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
18.0ms
(pow (/ x (+ x y)) 3)
13.0ms
(cbrt (pow (/ x (+ x y)) 3))

series268.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ x (+ x y))
85.0ms
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
89.0ms
(pow (/ x (+ x y)) 3)
44.0ms
(cbrt (pow (/ x (+ x y)) 3))

simplify59.0ms

Counts
181 → 181

prune284.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample434.0ms

Algorithm
intervals
Results
181.0ms8000×body80valid