Details

Time bar (total: 17.2s)

sample110.0ms

Algorithm
intervals
Results
34.0ms47×body1280valid
22.0ms52×body640valid
14.0ms24×body320valid
13.0ms165×body80valid
7.0ms110×body80nan
2.0ms12×body160valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0811
11511
2249
3499
41059
52419
65789
718549
done50009

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize14.0ms

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)

rewrite97.0ms

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×pow-unpow add-log-exp
2×cbrt-undiv pow-to-exp frac-2neg clear-num
1×pow-pow
Counts
3 → 172
Calls
3 calls:
56.0ms
(/ (pow (/ x (+ x y)) x) x)
11.0ms
(/ x (+ x y))
21.0ms
(pow (/ x (+ x y)) x)

series637.0ms

Counts
3 → 9
Calls
3 calls:
202.0ms
(/ (pow (/ x (+ x y)) x) x)
81.0ms
(/ x (+ x y))
354.0ms
(pow (/ x (+ x y)) x)

simplify1.4s

Counts
181 → 181
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02762881
15282708
214872650
done50002646

prune669.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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 frac-2neg exp-diff div-exp clear-num div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
16.0ms
(/ (exp (- y)) x)

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ (exp (- y)) x)

simplify2.8s

Counts
32 → 32
Iterations

Useful iterations: 3 (214.0ms)

IterNodesCost
064299
1117289
2281269
3680267
42766267
done5001267

prune111.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize38.0ms

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)

rewrite37.0ms

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×flip3-+ add-cbrt-cube flip-+ 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 → 84
Calls
4 calls:
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
22.0ms
(pow (/ x (cbrt (+ x y))) x)

series805.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(cbrt (+ x y))
206.0ms
(cbrt (+ x y))
231.0ms
(cbrt (+ x y))
156.0ms
(pow (/ x (cbrt (+ x y))) x)

simplify2.8s

Counts
96 → 96
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
02071387
14971298
212671262
341501249
done50011249

prune496.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-div
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×flip3-+ flip-+
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
2×associate-*r/ associate-*l/
Counts
4 → 50
Calls
4 calls:
27.0ms
(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.5s

Counts
4 → 12
Calls
4 calls:
439.0ms
(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
358.0ms
(cbrt x)
313.0ms
(cbrt x)
340.0ms
(cbrt x)

simplify2.7s

Counts
62 → 62
Iterations

Useful iterations: 4 (921.0ms)

IterNodesCost
0104597
1193572
2385534
3853522
42333520
done5000520

prune473.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes90.0ms

bsearch1.0ms