Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

322×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 7 (847.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	47	11
3	128	11
4	290	11
5	475	11
6	718	11
7	890	9
8	2292	9
done	5001	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
11×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 38

Calls

1 calls:

23.0ms

(/ (- x y) z)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(/ (- x y) z)

simplify1.5s

Counts

41 → 41

Iterations

Useful iterations: 4 (698.0ms)

Iter	Nodes	Cost
0	73	404
1	156	383
2	361	363
3	949	363
4	2416	362
done	5000	362

prune82.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`times-frac`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-cube-cbrt` `add-log-exp`
2×	`div-inv`
1×	`pow1` `add-exp-log` `sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--` `sub-div`

Counts

1 → 23

Calls

1 calls:

31.0ms

(- (/ x z) (/ y z))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(- (/ x z) (/ y z))

simplify2.2s

Counts

26 → 26

Iterations

Useful iterations: 4 (285.0ms)

Iter	Nodes	Cost
0	55	302
1	118	297
2	250	281
3	542	281
4	1400	279
5	4325	279
done	5000	279

prune54.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (- x y))
0.6b	(/ 1 (/ z (- x y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
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 → 145

Calls

2 calls:

12.0ms	(/ z (- x y))
19.0ms	(/ 1 (/ z (- x y)))

series43.0ms

Calls

1 calls:

39.0ms

(/ 1 (/ z (- x y)))