Details

Time bar (total: 4.5s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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:
39.0ms
(/ (- x y) (+ x y))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(/ (- x y) (+ x y))

simplify85.0ms

Counts
49 → 49

prune109.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

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)))

rewrite163.0ms

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:
18.0ms
(/ y (+ x y))
20.0ms
(/ x (+ x y))
119.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series222.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ y (+ x y))
55.0ms
(/ x (+ x y))
110.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify111.0ms

Counts
103 → 103

prune226.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 47
Calls
4 calls:
4.0ms
(cbrt (+ x y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series886.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt (+ x y))
262.0ms
(cbrt y)
219.0ms
(cbrt y)
237.0ms
(cbrt y)

simplify55.0ms

Counts
59 → 59

prune232.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(- (/ (/ x (sqrt (+ x y))) (sqrt (+ x y))) (/ y (+ x y)))
0.1b
(/ (/ x (sqrt (+ x y))) (sqrt (+ x y)))
0.2b
(/ x (sqrt (+ x y)))

rewrite520.0ms

Algorithm
rewrite-expression-head
Rules
421×times-frac
328×*-un-lft-identity
252×add-sqr-sqrt
234×sqrt-prod
197×add-cube-cbrt
61×distribute-lft-out
33×associate-/l*
22×associate-/r/
20×sqrt-div
18×associate-/r*
14×difference-of-squares
13×add-exp-log add-cbrt-cube
11×flip3-+ flip-+ div-inv
6×add-log-exp
5×cbrt-undiv div-exp
4×pow1
3×frac-2neg clear-num distribute-lft-out--
1×sub-neg flip3-- diff-log frac-sub flip-- associate-/l/
Counts
4 → 348
Calls
4 calls:
16.0ms
(/ y (+ x y))
408.0ms
(- (/ (/ x (sqrt (+ x y))) (sqrt (+ x y))) (/ y (+ x y)))
43.0ms
(/ (/ x (sqrt (+ x y))) (sqrt (+ x y)))
19.0ms
(/ x (sqrt (+ x y)))

series368.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ y (+ x y))
122.0ms
(- (/ (/ x (sqrt (+ x y))) (sqrt (+ x y))) (/ y (+ x y)))
96.0ms
(/ (/ x (sqrt (+ x y))) (sqrt (+ x y)))
107.0ms
(/ x (sqrt (+ x y)))

simplify74.0ms

Counts
360 → 360

prune626.0ms

Pruning

4 alts after pruning (0 fresh and 4 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

sample530.0ms

Algorithm
intervals
Results
244.0ms8000×body80valid