Details

Time bar (total: 17.5s)

sample31.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2149
done149

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize7.0ms

Local error

Found 1 expressions with local error:

8.3b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
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 → 50
Calls
1 calls:
51.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.9s

Counts
53 → 53
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
095835
1204812
2547776
31371776
43954775
done5000775

prune158.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.4b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.3b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
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 → 195
Calls
2 calls:
62.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
78.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series247.0ms

Counts
2 → 6
Calls
2 calls:
178.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
68.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify3.5s

Counts
201 → 201
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
02454021
15703530
213263223
335273179
done50003179

prune400.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
0.2b
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
3.0b
(/ (/ y (+ x y)) z)

rewrite508.0ms

Algorithm
rewrite-expression-head
Rules
215×times-frac
186×add-sqr-sqrt
168×*-un-lft-identity
81×add-cube-cbrt
30×difference-of-squares
24×associate-/l*
21×distribute-lft-out
19×associate-/r*
15×add-exp-log distribute-lft-out--
13×associate-/r/ add-cbrt-cube
7×div-inv
6×div-exp add-log-exp
5×pow1 cbrt-undiv flip3-+ flip-+
3×frac-2neg clear-num
2×flip3-- frac-sub flip--
1×sub-neg rec-exp pow-flip diff-log 1-exp associate-/l/ inv-pow
Counts
4 → 215
Calls
4 calls:
24.0ms
(/ y (+ x y))
210.0ms
(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
218.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
30.0ms
(/ (/ y (+ x y)) z)

series549.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ y (+ x y))
202.0ms
(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
187.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
99.0ms
(/ (/ y (+ x y)) z)

simplify3.1s

Counts
227 → 227
Iterations

Useful iterations: 2 (477.0ms)

IterNodesCost
03074061
16463780
214923652
341703652
done50003652

prune834.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (+ x y)) (/ (/ 1 (/ (+ x y) y)) z))
0.2b
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ 1 (/ (+ x y) y)) z)))
0.2b
(/ 1 (/ (+ x y) y))
3.0b
(/ (/ 1 (/ (+ x y) y)) z)

rewrite872.0ms

Algorithm
rewrite-expression-head
Rules
831×times-frac
536×add-sqr-sqrt
502×*-un-lft-identity
296×add-cube-cbrt
60×difference-of-squares
59×associate-/l*
58×distribute-lft-out
39×associate-/r*
38×add-exp-log
33×div-inv
25×distribute-lft-out--
23×div-exp
20×add-cbrt-cube
10×cbrt-undiv
8×associate-/r/
6×pow1 add-log-exp
5×rec-exp 1-exp
3×frac-2neg clear-num
2×flip3-- pow-flip frac-sub flip-- inv-pow
1×sub-neg diff-log associate-/l/
Counts
4 → 456
Calls
4 calls:
282.0ms
(- (/ 1.0 (+ x y)) (/ (/ 1 (/ (+ x y) y)) z))
456.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ 1 (/ (+ x y) y)) z)))
22.0ms
(/ 1 (/ (+ x y) y))
61.0ms
(/ (/ 1 (/ (+ x y) y)) z)

series629.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(- (/ 1.0 (+ x y)) (/ (/ 1 (/ (+ x y) y)) z))
259.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ 1 (/ (+ x y) y)) z)))
75.0ms
(/ 1 (/ (+ x y) y))
95.0ms
(/ (/ 1 (/ (+ x y) y)) z)

simplify2.4s

Counts
468 → 468
Iterations

Useful iterations: done (2.4s)

IterNodesCost
060510109
113238715
223967705
done50007593

prune937.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes6.0ms