Details

Time bar (total: 11.8s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
11.0ms
(/ (- x y) (+ x y))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (- x y) (+ x y))

simplify2.0s

Counts
49 → 49
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
078600
1187573
2433545
31237545
43531538
done5001538

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

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)))

rewrite59.0ms

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:
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
46.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series154.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ y (+ x y))
41.0ms
(/ x (+ x y))
74.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify909.0ms

Counts
103 → 103
Iterations

Useful iterations: done (906.0ms)

IterNodesCost
01301135
12601070
26201028
318211028
done50001022

prune193.0ms

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

rewrite368.0ms

Algorithm
rewrite-expression-head
Rules
323×*-un-lft-identity
160×times-frac
151×cbrt-prod
121×add-sqr-sqrt
75×distribute-lft-out--
52×cbrt-div distribute-lft-out
34×swap-sqr
29×add-cube-cbrt
28×associate-/r/ difference-of-squares
21×distribute-rgt-out--
20×associate-*r* associate-*l*
16×frac-times
14×flip3-+ flip-+ div-inv
13×flip3-- frac-sub flip-- sub-div
11×pow1
9×pow1/3
6×add-exp-log
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 207
Calls
4 calls:
30.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
32.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
30.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
259.0ms
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))

series575.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
149.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
154.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
117.0ms
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))

simplify1.5s

Counts
219 → 219
Iterations

Useful iterations: 3 (789.0ms)

IterNodesCost
02066126
13415710
28525488
323335011
done50015011

prune511.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
3512×cbrt-div
1376×frac-times
503×flip3-- frac-sub flip-- sub-div
244×associate-*r/
224×associate-*l/
113×*-un-lft-identity
68×cbrt-prod
65×add-sqr-sqrt
64×times-frac
28×distribute-lft-out--
20×associate-*l*
18×add-cube-cbrt
16×associate-/r/ distribute-lft-out difference-of-squares
15×pow1
13×add-exp-log pow1/3
12×distribute-rgt-out--
9×pow-prod-down
8×flip3-+ flip-+ div-inv
6×prod-exp add-cbrt-cube cbrt-unprod
5×pow-prod-up
4×add-log-exp
1×swap-sqr associate-*r* pow-sqr *-commutative
Counts
4 → 753
Calls
4 calls:
32.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
30.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
33.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
1.1s
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (* (* (cbrt (cbrt (- (/ x (+ x y)) (/ y (+ x y))))) (cbrt (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))) (cbrt (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))))

series590.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
162.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
157.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
114.0ms
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (* (* (cbrt (cbrt (- (/ x (+ x y)) (/ y (+ x y))))) (cbrt (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))) (cbrt (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))))

simplify912.0ms

Counts
765 → 765
Iterations

Useful iterations: 1 (549.0ms)

IterNodesCost
0134569934
1298867267
done500067267

prune2.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

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
057
167
done67

end0.0ms

sample283.0ms

Algorithm
intervals
Results
154.0ms8000×body80valid