Details

Time bar (total: 51.9s)

sample28.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
05

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
distribute-lft-out
associate-/r* distribute-lft-out-- difference-of-squares
associate-/l*
add-exp-log add-cbrt-cube
associate-/r/ associate-/l/
pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
50.0ms
(/ (+ x y) (- x y))

series258.0ms

Counts
1 → 3
Calls
1 calls:
258.0ms
(/ (+ x y) (- x y))

simplify3.1s

Counts
50 → 50
Iterations
IterNodes
done5023
31717
2481
1180
078

prune370.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite122.0ms

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/
add-cbrt-cube
div-exp associate-/l*
div-inv
flip3-+ flip-+
cbrt-undiv
pow1
expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 178
Calls
2 calls:
49.0ms
(/ 1 (/ (- x y) (+ x y)))
54.0ms
(/ (- x y) (+ x y))

series254.0ms

Counts
2 → 6
Calls
2 calls:
134.0ms
(/ 1 (/ (- x y) (+ x y)))
121.0ms
(/ (- x y) (+ x y))

simplify3.2s

Counts
184 → 184
Iterations
IterNodes
done5008
21939
1548
0209

prune793.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite572.0ms

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
associate-/l*
add-log-exp
pow1
expm1-log1p-u div-exp log1p-expm1-u
cbrt-undiv frac-2neg clear-num
flip3-- frac-sub flip-- sub-div
sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
4 → 535
Calls
4 calls:
233.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
23.0ms
(/ y (+ x y))
23.0ms
(/ x (+ x y))
201.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series731.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
145.0ms
(/ y (+ x y))
132.0ms
(/ x (+ x y))
233.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify4.0s

Counts
547 → 547
Iterations
IterNodes
done5002
23046
11149
0519

prune4.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite942.0ms

Algorithm
rewrite-expression-head
Rules
2424×times-frac
2014×*-un-lft-identity
1419×add-sqr-sqrt
1254×add-cube-cbrt
954×prod-diff
345×distribute-lft-out
138×div-inv
132×associate-/r/
55×flip3-+ flip-+
50×difference-of-squares
37×associate-/r*
21×add-exp-log
20×distribute-lft-out--
18×fma-neg
13×add-cbrt-cube
10×div-exp
associate-/l*
pow1 add-log-exp
cbrt-undiv
expm1-log1p-u log1p-expm1-u
rec-exp frac-2neg 1-exp clear-num
flip3-- pow-flip frac-sub flip-- inv-pow
sub-neg diff-log
Counts
4 → 1218
Calls
4 calls:
305.0ms
(/ 1 (- (/ x (+ x y)) (/ 1 (/ (+ x y) y))))
22.0ms
(/ x (+ x y))
269.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
41.0ms
(/ 1 (/ (+ x y) y))

series968.0ms

Counts
4 → 12
Calls
4 calls:
356.0ms
(/ 1 (- (/ x (+ x y)) (/ 1 (/ (+ x y) y))))
88.0ms
(/ x (+ x y))
417.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
89.0ms
(/ 1 (/ (+ x y) y))

simplify16.8s

Counts
1230 → 1230
Iterations
IterNodes
done5000
24927
12611
01142

prune13.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes208.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done12
112
09

end0.0ms

sample1.4s

Algorithm
intervals
Results
359.0ms8000×body80valid