Details

Time bar (total: 5.9s)

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

prune1.0ms

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:
10.0ms
(/ (- x y) (+ x y))

series65.0ms

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

simplify1.9s

Counts
49 → 49
Iterations

Useful iterations: 4 (756.0ms)

IterNodesCost
078600
1187573
2416545
3977545
42499538
done5000538

prune79.0ms

Pruning

3 alts after pruning (2 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)))

series147.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ y (+ x y))
37.0ms
(/ x (+ x y))
71.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.7s

Counts
103 → 103
Iterations

Useful iterations: 4 (806.0ms)

IterNodesCost
01301135
12601070
25581028
312551028
431861024
done50001024

prune173.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
0.1b
(pow (/ x (+ x y)) 3)
9.7b
(cbrt (pow (/ x (+ x y)) 3))

rewrite150.0ms

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:
5.0ms
(/ x (+ x y))
122.0ms
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
8.0ms
(pow (/ x (+ x y)) 3)
9.0ms
(cbrt (pow (/ x (+ x y)) 3))

series222.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ x (+ x y))
70.0ms
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
74.0ms
(pow (/ x (+ x y)) 3)
41.0ms
(cbrt (pow (/ x (+ x y)) 3))

simplify845.0ms

Counts
181 → 181
Iterations

Useful iterations: 2 (235.0ms)

IterNodesCost
01962836
14972267
214642073
done50002073

prune260.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

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

sample266.0ms

Algorithm
intervals
Results
143.0ms8000×body80valid