Details

Time bar (total: 13.6s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05122
18122
29122
done9122

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite44.0ms

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-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 47
Calls
1 calls:
42.0ms
(/ (+ x y) (- x y))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(/ (+ x y) (- x y))

simplify2.4s

Counts
50 → 50
Iterations

Useful iterations: 3 (796.0ms)

IterNodesCost
07812489
118011647
258811527
3317211408
done500011408

prune246.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 178
Calls
2 calls:
25.0ms
(/ 1 (/ (- x y) (+ x y)))
41.0ms
(/ (- x y) (+ x y))

series214.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(/ 1 (/ (- x y) (+ x y)))
109.0ms
(/ (- x y) (+ x y))

simplify2.1s

Counts
184 → 184
Iterations

Useful iterations: done (2.1s)

IterNodesCost
020965867
155751406
2376550388
done500248876

prune567.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
954×times-frac
631×*-un-lft-identity
491×add-sqr-sqrt
369×add-cube-cbrt
87×associate-/r/
70×distribute-lft-out
61×distribute-lft-out-- difference-of-squares
51×add-exp-log
44×div-inv
36×div-exp
27×associate-/r* associate-/l*
23×flip3-+ flip-+
20×flip3-- flip--
19×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
5×pow1
3×expm1-log1p-u clear-num frac-2neg log1p-expm1-u add-log-exp
2×pow-flip inv-pow
1×associate-/l/
Counts
3 → 533
Calls
3 calls:
15.0ms
(/ 1 (+ x y))
16.0ms
(/ 1 (- x y))
51.0ms
(/ (/ 1 (- x y)) (/ 1 (+ x y)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 1 (+ x y))
49.0ms
(/ 1 (- x y))
102.0ms
(/ (/ 1 (- x y)) (/ 1 (+ x y)))

simplify1.8s

Counts
542 → 542
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0611291784
12101197691
done5001186665

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite336.0ms

Algorithm
rewrite-expression-head
Rules
708×*-un-lft-identity
599×times-frac
410×add-sqr-sqrt
350×add-cube-cbrt
324×prod-diff
139×distribute-lft-out
102×associate-/r/
50×div-inv
49×flip3-+ flip-+
35×distribute-lft-out--
25×associate-/r*
20×difference-of-squares
18×fma-neg
15×distribute-rgt-out--
12×add-exp-log
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×expm1-log1p-u div-exp log1p-expm1-u
3×cbrt-undiv clear-num frac-2neg
2×flip3-- frac-sub flip-- sub-div
1×rec-exp sub-neg diff-log 1-exp pow-flip inv-pow
Counts
4 → 535
Calls
4 calls:
9.0ms
(/ y (+ x y))
12.0ms
(/ x (+ x y))
129.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
146.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series357.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ y (+ x y))
67.0ms
(/ x (+ x y))
112.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
111.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.3s

Counts
547 → 547
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0519349209
11154293449
done5000258050

prune1.8s

Pruning

3 alts after pruning (1 fresh and 2 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

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08203
111203
done11203

end0.0ms

sample494.0ms

Algorithm
intervals
Results
254.0ms8000×body80valid