Details

Time bar (total: 7.4s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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 flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
13.0ms
(/ (+ x y) (- x y))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ (+ x y) (- x y))

simplify1.5s

Counts
48 → 48
Iterations

Useful iterations: 3 (179.0ms)

IterNodesCost
076590
1170567
2414539
31001532
42500532
done5001532

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
15.0ms
(/ 1 (/ (- x y) (+ x y)))
10.0ms
(/ (- x y) (+ x y))

series128.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ 1 (/ (- x y) (+ x y)))
63.0ms
(/ (- x y) (+ x y))

simplify2.0s

Counts
180 → 180
Iterations

Useful iterations: 3 (790.0ms)

IterNodesCost
02052962
14872521
210642268
329252228
done50002228

prune178.0ms

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))

rewrite40.0ms

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 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-- div-sub flip--
Counts
2 → 249
Calls
2 calls:
15.0ms
(/ (sqrt 1) (/ (- x y) (+ x y)))
10.0ms
(/ (- x y) (+ x y))

series133.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (sqrt 1) (/ (- x y) (+ x y)))
66.0ms
(/ (- x y) (+ x y))

simplify1.6s

Counts
255 → 255
Iterations

Useful iterations: 3 (723.0ms)

IterNodesCost
02605110
16023993
211113577
327343501
done50003501

prune199.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

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×pow-unpow 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 → 185
Calls
3 calls:
13.0ms
(/ (+ x y) (- x y))
12.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
12.0ms
(pow (/ (+ x y) (- x y)) 3)

series224.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ (+ x y) (- x y))
87.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
75.0ms
(pow (/ (+ x y) (- x y)) 3)

simplify570.0ms

Counts
194 → 194
Iterations

Useful iterations: 2 (194.0ms)

IterNodesCost
01753344
14772775
215292557
done50012557

prune247.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes49.0ms

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

sample288.0ms

Algorithm
intervals
Results
158.0ms8000×body80valid