Details

Time bar (total: 18.3s)

sample96.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify14.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) 10.0)

rewrite76.0ms

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 expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
73.0ms
(/ (+ x y) 10.0)

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ (+ x y) 10.0)

simplify5.1s

Counts
38 → 38
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
065354
1137334
2340314
3770314
41848314
54109314
done5000314

prune119.0ms

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)))

rewrite47.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
2 → 133
Calls
2 calls:
16.0ms
(/ 10.0 (+ x y))
18.0ms
(/ 1 (/ 10.0 (+ x y)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ 10.0 (+ x y))
35.0ms
(/ 1 (/ 10.0 (+ x y)))

simplify2.7s

Counts
139 → 139
Iterations

Useful iterations: 3 (922.0ms)

IterNodesCost
01811820
13851516
28111331
320841305
done50001305

prune218.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 0.1 (+ x y))

rewrite44.0ms

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 expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
43.0ms
(* 0.1 (+ x y))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* 0.1 (+ x y))

simplify5.3s

Counts
28 → 28
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
048206
1130195
2405175
31384175
44681175
done5000175

prune47.0ms

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))

rewrite157.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×flip3-+ flip-+
Counts
2 → 269
Calls
2 calls:
66.0ms
(/ (/ (+ x y) (sqrt 10.0)) (sqrt 10.0))
49.0ms
(/ (+ x y) (sqrt 10.0))

series314.0ms

Counts
2 → 6
Calls
2 calls:
200.0ms
(/ (/ (+ x y) (sqrt 10.0)) (sqrt 10.0))
114.0ms
(/ (+ x y) (sqrt 10.0))

simplify3.4s

Counts
275 → 275
Iterations

Useful iterations: done (3.4s)

IterNodesCost
02625178
15804529
211634237
328714167
done50004155

prune509.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes2.0ms