Details

Time bar (total: 14.0s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1117
2147
3167
done167

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))

rewrite31.0ms

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:
29.0ms
(/ (- x y) (+ x y))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (- x y) (+ x y))

simplify2.3s

Counts
49 → 49
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
078600
1188573
2463545
31100545
42967538
done5000538

prune115.0ms

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)))

rewrite145.0ms

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:
16.0ms
(/ y (+ x y))
16.0ms
(/ x (+ x y))
108.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ y (+ x y))
51.0ms
(/ x (+ x y))
86.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.3s

Counts
103 → 103
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
01301135
12611070
25621028
311991028
434571024
done50011024

prune211.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

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)

rewrite12.0ms

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:
6.0ms
(cbrt (+ x y))
2.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt y)

series933.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt (+ x y))
220.0ms
(cbrt y)
249.0ms
(cbrt y)
284.0ms
(cbrt y)

simplify2.0s

Counts
59 → 59
Iterations

Useful iterations: 4 (562.0ms)

IterNodesCost
073356
1151335
2316309
3690297
41839295
done5000295

prune179.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

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)))

rewrite455.0ms

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:
19.0ms
(/ y (+ x y))
335.0ms
(- (/ (/ x (sqrt (+ x y))) (sqrt (+ x y))) (/ y (+ x y)))
41.0ms
(/ (/ x (sqrt (+ x y))) (sqrt (+ x y)))
13.0ms
(/ x (sqrt (+ x y)))

series400.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ y (+ x y))
116.0ms
(- (/ (/ x (sqrt (+ x y))) (sqrt (+ x y))) (/ y (+ x y)))
93.0ms
(/ (/ x (sqrt (+ x y))) (sqrt (+ x y)))
135.0ms
(/ x (sqrt (+ x y)))

simplify3.1s

Counts
360 → 360
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
03827823
18476598
217306127
349675944
done50005944

prune730.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
1711
done711

end0.0ms

sample614.0ms

Algorithm
intervals
Results
286.0ms8000×body80valid