Details

Time bar (total: 16.8s)

sample88.0ms

Algorithm
intervals
Results
23.0ms47×body1280valid
17.0ms12×body160valid
15.0ms52×body640valid
9.0ms165×body80valid
5.0ms24×body320valid
4.0ms110×body80nan

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0811
11511
2249
3499
41079
52459
65809
718509
done50009

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (pow (/ x (+ x y)) x) x)
0.0b
(/ x (+ x y))
7.4b
(pow (/ x (+ x y)) x)

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
118×*-un-lft-identity
90×unpow-prod-down
80×add-sqr-sqrt add-cube-cbrt
25×associate-/l*
19×distribute-lft-out
16×add-exp-log
12×associate-/r/
7×div-exp associate-/r* add-cbrt-cube div-inv
6×flip3-+ flip-+
5×sqr-pow
4×pow1 pow-exp
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv pow-to-exp frac-2neg clear-num
1×pow-pow
Counts
3 → 178
Calls
3 calls:
62.0ms
(/ (pow (/ x (+ x y)) x) x)
12.0ms
(/ x (+ x y))
20.0ms
(pow (/ x (+ x y)) x)

series593.0ms

Counts
3 → 9
Calls
3 calls:
170.0ms
(/ (pow (/ x (+ x y)) x) x)
55.0ms
(/ x (+ x y))
368.0ms
(pow (/ x (+ x y)) x)

simplify1.5s

Counts
187 → 187
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02822929
15452745
215522688
done50002684

prune669.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×associate-/r* add-cbrt-cube associate-/l*
2×add-exp-log associate-/l/
1×pow1 cbrt-undiv neg-sub0 exp-neg expm1-log1p-u frac-2neg exp-diff div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
22.0ms
(/ (exp (- y)) x)

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ (exp (- y)) x)

simplify3.1s

Counts
34 → 34
Iterations

Useful iterations: 3 (218.0ms)

IterNodesCost
066311
1120300
2293280
3709278
42815278
done5002278

prune108.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
2.0b
(pow (/ x (cbrt (+ x y))) x)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
27×unpow-prod-down
24×cbrt-prod
22×add-sqr-sqrt add-cube-cbrt
21×times-frac
8×cbrt-div
7×add-exp-log
6×distribute-lft-out
5×pow1
4×expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u add-log-exp
3×pow-unpow pow1/3
2×pow-exp associate-/r/
1×pow-to-exp pow-pow div-exp div-inv sqr-pow
Counts
4 → 92
Calls
4 calls:
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
6.0ms
(cbrt (+ x y))
32.0ms
(pow (/ x (cbrt (+ x y))) x)

series781.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt (+ x y))
196.0ms
(cbrt (+ x y))
238.0ms
(cbrt (+ x y))
173.0ms
(pow (/ x (cbrt (+ x y))) x)

simplify3.0s

Counts
104 → 104
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
02111435
15131331
213331297
344221279
done50001279

prune515.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 55
Calls
4 calls:
4.0ms
(cbrt (+ x y))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt (+ x y))
274.0ms
(cbrt x)
296.0ms
(cbrt x)
297.0ms
(cbrt x)

simplify2.5s

Counts
67 → 67
Iterations

Useful iterations: done (2.5s)

IterNodesCost
073384
1151361
2329335
3729322
42012322
done5001320

prune411.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes75.0ms

bsearch1.0ms