Details

Time bar (total: 10.8s)

sample25.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
05

prune6.0ms

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-+ div-inv flip-- add-log-exp
Counts
1 → 45
Calls
1 calls:
22.0ms
(/ (+ x y) (- x y))

series119.0ms

Counts
1 → 3
Calls
1 calls:
119.0ms
(/ (+ x y) (- x y))

simplify1.5s

Counts
48 → 48
Iterations
IterNodes
done5002
31649
2468
1175
076

prune274.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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 add-log-exp associate-/l/
flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
20.0ms
(/ 1 (/ (- x y) (+ x y)))
20.0ms
(/ (- x y) (+ x y))

series155.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ 1 (/ (- x y) (+ x y)))
87.0ms
(/ (- x y) (+ x y))

simplify2.9s

Counts
180 → 180
Iterations
IterNodes
done5004
34878
21617
1540
0205

prune504.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite216.0ms

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
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 → 185
Calls
4 calls:
99.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
16.0ms
(/ x (+ x y))
74.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
17.0ms
(/ y (+ x y))

series281.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
45.0ms
(/ x (+ x y))
90.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
42.0ms
(/ y (+ x y))

simplify1.2s

Counts
197 → 197
Iterations
IterNodes
done5000
21376
1468
0228

prune652.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- x y) (- x y))
3.4b
(- (* x x) (* y y))
33.0b
(/ (- (* x x) (* y y)) (* (- x y) (- x y)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
19×add-sqr-sqrt
14×flip3-- flip--
10×pow1 add-cbrt-cube add-exp-log
add-cube-cbrt
frac-times associate-/r/
swap-sqr difference-of-squares
distribute-lft-out--
associate-*r* associate-*l* add-log-exp
times-frac associate-*l/ associate-*r/ associate-/l*
sub-neg
distribute-rgt-in cbrt-undiv distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/
pow2 clear-num associate-/r* frac-2neg pow-plus diff-log div-sub pow-prod-down pow-sqr *-commutative pow-prod-up div-inv unswap-sqr
Counts
3 → 92
Calls
3 calls:
32.0ms
(* (- x y) (- x y))
6.0ms
(- (* x x) (* y y))
34.0ms
(/ (- (* x x) (* y y)) (* (- x y) (- x y)))

series212.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* (- x y) (- x y))
51.0ms
(- (* x x) (* y y))
134.0ms
(/ (- (* x x) (* y y)) (* (- x y) (- x y)))

simplify1.6s

Counts
101 → 101
Iterations
IterNodes
done5001
21473
1445
0131

prune268.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes79.0ms

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

sample503.0ms

Algorithm
intervals
Results
290.0ms8000×body80valid