Details

Time bar (total: 13.9s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
187
297
done97

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:
11.0ms
(/ (+ x y) (- x y))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (+ x y) (- x y))

simplify3.5s

Counts
50 → 50
Iterations

Useful iterations: 3 (160.0ms)

IterNodesCost
078606
1175582
2464554
31452547
44997547
done5000547

prune92.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:
14.0ms
(/ 1 (/ (- x y) (+ x y)))
12.0ms
(/ (- x y) (+ x y))

series131.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ 1 (/ (- x y) (+ x y)))
63.0ms
(/ (- x y) (+ x y))

simplify3.9s

Counts
184 → 184
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
02092998
15062631
217492296
344502256
done50002256

prune210.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
316×times-frac
285×*-un-lft-identity
203×add-sqr-sqrt
137×add-cube-cbrt
81×sqrt-prod
41×distribute-lft-out
33×distribute-lft-out-- difference-of-squares
30×associate-/r*
17×associate-/r/
11×associate-/l*
9×add-exp-log add-cbrt-cube div-inv
8×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- div-sub flip--
Counts
2 → 253
Calls
2 calls:
16.0ms
(/ (sqrt 1) (/ (- x y) (+ x y)))
12.0ms
(/ (- x y) (+ x y))

series129.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ (sqrt 1) (/ (- x y) (+ x y)))
67.0ms
(/ (- x y) (+ x y))

simplify3.8s

Counts
259 → 259
Iterations

Useful iterations: done (3.8s)

IterNodesCost
02645148
16144364
224413601
done50003525

prune228.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ y x) (- x y))
0.0b
(cbrt (pow (/ (+ y x) (- x y)) 3))
0.0b
(pow (/ (+ y x) (- x y)) 3)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1 associate-/l*
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 clear-num rem-cbrt-cube flip-+
Counts
3 → 191
Calls
3 calls:
11.0ms
(/ (+ y x) (- x y))
13.0ms
(cbrt (pow (/ (+ y x) (- x y)) 3))
14.0ms
(pow (/ (+ y x) (- x y)) 3)

series223.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ (+ y x) (- x y))
83.0ms
(cbrt (pow (/ (+ y x) (- x y)) 3))
75.0ms
(pow (/ (+ y x) (- x y)) 3)

simplify733.0ms

Counts
200 → 200
Iterations

Useful iterations: 2 (175.0ms)

IterNodesCost
01863400
15142821
218962603
done50012603

prune271.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
done67

end0.0ms

sample275.0ms

Algorithm
intervals
Results
146.0ms8000×body80valid