Details

Time bar (total: 15.4s)

sample57.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
055
165
done65

prune5.0ms

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) 10.0)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×distribute-lft-out associate-/l*
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
80.0ms
(/ (+ x y) 10.0)

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(/ (+ x y) 10.0)

simplify4.1s

Counts
36 → 36
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
063342
1132323
2327303
3706303
41639303
53449303
done5001303

prune90.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 10.0 (+ x y))
0.3b
(/ 1 (/ 10.0 (+ x y)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip inv-pow
Counts
2 → 129
Calls
2 calls:
15.0ms
(/ 10.0 (+ x y))
33.0ms
(/ 1 (/ 10.0 (+ x y)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ 10.0 (+ x y))
44.0ms
(/ 1 (/ 10.0 (+ x y)))

simplify2.7s

Counts
135 → 135
Iterations

Useful iterations: 3 (738.0ms)

IterNodesCost
01771792
13771491
27871310
319951284
done50011284

prune231.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 0.1 (+ x y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
26.0ms
(* 0.1 (+ x y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* 0.1 (+ x y))

simplify4.2s

Counts
26 → 26
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
046194
1126183
2382163
31297163
44258163
done5000163

prune72.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ (+ x y) (sqrt 10.0)) (sqrt 10.0))
0.4b
(/ (+ x y) (sqrt 10.0))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
360×times-frac
280×*-un-lft-identity
186×sqrt-prod
182×add-sqr-sqrt add-cube-cbrt
49×distribute-lft-out
32×associate-/l*
12×associate-/r*
9×add-exp-log add-cbrt-cube div-inv
4×cbrt-undiv div-exp
3×associate-/l/
2×pow1 frac-2neg clear-num add-log-exp
1×flip3-+ flip-+
Counts
2 → 265
Calls
2 calls:
45.0ms
(/ (/ (+ x y) (sqrt 10.0)) (sqrt 10.0))
33.0ms
(/ (+ x y) (sqrt 10.0))

series347.0ms

Counts
2 → 6
Calls
2 calls:
207.0ms
(/ (/ (+ x y) (sqrt 10.0)) (sqrt 10.0))
140.0ms
(/ (+ x y) (sqrt 10.0))

simplify2.6s

Counts
271 → 271
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02585144
15744504
211484212
328154142
done50014130

prune438.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes2.0ms