Details

Time bar (total: 15.4s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
297
done97

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×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:
28.0ms
(/ (+ x y) (- x y))

series125.0ms

Counts
1 → 3
Calls
1 calls:
125.0ms
(/ (+ x y) (- x y))

simplify3.1s

Counts
50 → 50
Iterations

Useful iterations: 3 (368.0ms)

IterNodesCost
078606
1175582
2454554
31120547
43134547
done5002547

prune134.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

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 frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 178
Calls
2 calls:
35.0ms
(/ 1 (/ (- x y) (+ x y)))
35.0ms
(/ (- x y) (+ x y))

series157.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ 1 (/ (- x y) (+ x y)))
91.0ms
(/ (- x y) (+ x y))

simplify2.4s

Counts
184 → 184
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
02092998
14792553
211042296
330832256
done50002256

prune246.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity
88×add-sqr-sqrt
74×times-frac
53×sqrt-prod
42×add-cube-cbrt
41×associate-*r*
15×distribute-lft-out-- difference-of-squares
12×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×associate-*l* associate-/l*
6×sqrt-div unswap-sqr
5×associate-/r*
4×pow1 associate-/r/
3×flip3-+ flip-+
2×cbrt-undiv expm1-log1p-u frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 139
Calls
2 calls:
79.0ms
(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)))
36.0ms
(/ (sqrt (+ x y)) (- x y))

series186.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)))
90.0ms
(/ (sqrt (+ x y)) (- x y))

simplify3.1s

Counts
145 → 145
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01742329
13811985
211631847
337271801
done50001800

prune260.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
316×*-un-lft-identity
191×times-frac
188×sqrt-prod
187×add-sqr-sqrt
88×add-cube-cbrt
55×distribute-lft-out
53×swap-sqr
46×distribute-lft-out--
34×difference-of-squares
29×associate-*r* associate-*l*
20×pow1
14×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
9×sqrt-pow1 pow1/2 unswap-sqr
8×associate-/l*
7×flip3-- flip-- div-inv
5×sqrt-div pow-prod-up
4×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square frac-2neg flip3-+ div-exp clear-num flip-+
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 284
Calls
4 calls:
27.0ms
(sqrt (/ (+ x y) (- x y)))
114.0ms
(* (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))))
25.0ms
(/ (+ x y) (- x y))
41.0ms
(/ (+ x y) (- x y))

series467.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(sqrt (/ (+ x y) (- x y)))
106.0ms
(* (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))))
69.0ms
(/ (+ x y) (- x y))
80.0ms
(/ (+ x y) (- x y))

simplify3.1s

Counts
296 → 296
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
02145588
13683932
212213756
344283677
done50003677

prune682.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
done109

end0.0ms

sample815.0ms

Algorithm
intervals
Results
570.0ms8000×body80valid