Details

Time bar (total: 10.5s)

sample25.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
05

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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-cbrt-cube add-exp-log
associate-/r/ associate-/l/
pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 46
Calls
1 calls:
23.0ms
(/ (+ x y) (- x y))

series101.0ms

Counts
1 → 3
Calls
1 calls:
101.0ms
(/ (+ x y) (- x y))

simplify2.1s

Counts
49 → 49
Iterations
IterNodes
done5001
33343
2592
1176
077

prune131.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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
rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp associate-/l/
flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 176
Calls
2 calls:
24.0ms
(/ 1 (/ (- x y) (+ x y)))
26.0ms
(/ (- x y) (+ x y))

series172.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(/ 1 (/ (- x y) (+ x y)))
83.0ms
(/ (- x y) (+ x y))

simplify1.6s

Counts
182 → 182
Iterations
IterNodes
done5001
23860
1550
0207

prune494.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

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)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
190×*-un-lft-identity
155×times-frac
114×add-sqr-sqrt
54×add-cube-cbrt
35×distribute-lft-out--
28×associate-/r/ distribute-lft-out
25×associate-/r*
20×difference-of-squares
15×distribute-rgt-out--
13×div-inv
12×flip3-+ add-exp-log flip-+
10×add-cbrt-cube
associate-/l*
add-log-exp
pow1
div-exp insert-posit16
cbrt-undiv clear-num frac-2neg
flip3-- frac-sub flip-- sub-div
rec-exp sub-neg diff-log 1-exp pow-flip inv-pow
Counts
4 → 189
Calls
4 calls:
67.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
12.0ms
(/ y (+ x y))
8.0ms
(/ x (+ x y))
56.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series302.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
44.0ms
(/ y (+ x y))
42.0ms
(/ x (+ x y))
101.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.1s

Counts
201 → 201
Iterations
IterNodes
done5001
22514
1477
0232

prune640.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
252×*-un-lft-identity
205×times-frac
159×add-sqr-sqrt
120×add-cube-cbrt
81×add-cbrt-cube add-exp-log
72×swap-sqr associate-*l*
57×distribute-lft-out
55×associate-*r*
39×pow1
30×prod-exp cbrt-unprod
26×associate-/r/
25×cbrt-undiv div-exp
14×unswap-sqr
13×flip3-+ flip-+ div-inv
frac-times associate-*r/ pow-prod-up
pow-prod-down associate-*l/
pow2 pow-plus pow-sqr *-commutative insert-posit16 add-log-exp
cube-unmult
Counts
4 → 331
Calls
4 calls:
74.0ms
(* (/ x (+ y x)) (* (/ x (+ y x)) (/ x (+ y x))))
44.0ms
(* (/ y (+ y x)) (/ y (+ y x)))
41.0ms
(* (/ x (+ y x)) (/ x (+ y x)))
37.0ms
(* (/ x (+ y x)) (/ x (+ y x)))

series363.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* (/ x (+ y x)) (* (/ x (+ y x)) (/ x (+ y x))))
70.0ms
(* (/ y (+ y x)) (/ y (+ y x)))
89.0ms
(* (/ x (+ y x)) (/ x (+ y x)))
96.0ms
(* (/ x (+ y x)) (/ x (+ y x)))

simplify1.1s

Counts
343 → 343
Iterations
IterNodes
done5001
11018
0275

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample567.0ms

Algorithm
intervals
Results
392.0ms8000×body80valid