Details

Time bar (total: 14.4s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- x y) (+ x y))

rewrite42.0ms

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))

series92.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(/ (- x y) (+ x y))

simplify2.6s

Counts
49 → 49
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
078600
1188573
2463545
31100545
42967538
done5000538

prune98.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite184.0ms

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:
24.0ms
(/ x (+ x y))
22.0ms
(/ y (+ x y))
132.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series212.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ x (+ x y))
67.0ms
(/ y (+ x y))
98.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.0s

Counts
103 → 103
Iterations

Useful iterations: 4 (992.0ms)

IterNodesCost
01301135
12611070
25601028
311971028
434561024
done50011024

prune346.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
16×*-un-lft-identity
10×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-+ flip-+ distribute-lft-out
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 57
Calls
4 calls:
6.0ms
(cbrt (- x y))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))

series817.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(cbrt (- x y))
204.0ms
(cbrt (+ x y))
172.0ms
(cbrt (+ x y))
234.0ms
(cbrt (+ x y))

simplify2.4s

Counts
69 → 69
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0102669
1221638
2462606
31014584
42673547
done5001544

prune312.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x y)) (cbrt (- x y)))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
57.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
6.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))

series813.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
223.0ms
(cbrt (- x y))
236.0ms
(cbrt (- x y))
175.0ms
(cbrt (- x y))

simplify3.2s

Counts
113 → 113
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01311384
12621281
26171223
313371124
435021080
done50011032

prune369.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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

sample598.0ms

Algorithm
intervals
Results
313.0ms8000×body80valid