Details

Time bar (total: 8.4s)

sample12.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify7.0ms

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: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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:
21.0ms
(/ (- x y) (+ x y))

series67.0ms

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

simplify1.8s

Counts
49 → 49
Iterations

Useful iterations: 4 (864.0ms)

IterNodesCost
078600
1188573
2463545
31100545
42967538
done5000538

prune81.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

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)))

rewrite99.0ms

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:
11.0ms
(/ x (+ x y))
11.0ms
(/ y (+ x y))
74.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series161.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ x (+ x y))
42.0ms
(/ y (+ x y))
79.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.6s

Counts
103 → 103
Iterations

Useful iterations: 4 (835.0ms)

IterNodesCost
01301135
12611070
25601028
311971028
434561024
done50011024

prune162.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ y (+ x y))
0.0b
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
2.1b
(log (exp (/ y (+ x y))))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
37×add-sqr-sqrt times-frac
32×add-cube-cbrt
20×log-pow
18×exp-prod
11×distribute-lft-out
8×add-exp-log associate-/r* add-cbrt-cube
6×pow1 log-prod associate-/r/ associate-/l*
5×add-log-exp
3×flip3-+ flip-+ div-inv associate--r+
2×cbrt-undiv frac-2neg div-exp clear-num distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log rem-log-exp flip--
Counts
4 → 115
Calls
4 calls:
10.0ms
(/ x (+ x y))
10.0ms
(/ y (+ x y))
109.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
22.0ms
(log (exp (/ y (+ x y))))

series195.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ x (+ x y))
41.0ms
(/ y (+ x y))
75.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
40.0ms
(log (exp (/ y (+ x y))))

simplify1.9s

Counts
127 → 127
Iterations

Useful iterations: 4 (998.0ms)

IterNodesCost
01661353
12891154
26051102
313911102
438411098
done50011098

prune259.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x y))
0.2b
(* (/ 1 (+ x y)) (- x y))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*l*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out
5×pow1 associate-*r*
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp flip3-- distribute-lft-in flip3-+ 1-exp associate-*r/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out-- inv-pow difference-of-squares
Counts
2 → 87
Calls
2 calls:
12.0ms
(/ 1 (+ x y))
46.0ms
(* (/ 1 (+ x y)) (- x y))

series101.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ 1 (+ x y))
68.0ms
(* (/ 1 (+ x y)) (- x y))

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: 3 (541.0ms)

IterNodesCost
0118982
1286820
2807728
32081720
done5000720

prune114.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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
0813
1913
done913

end0.0ms

sample308.0ms

Algorithm
intervals
Results
136.0ms8000×body80valid