Details

sample39.0ms

Algorithm

intervals

Results

21.0ms

322×

body

valid

simplify6.4s

Counts

1 → 1

Iterations

Useful iterations: 7 (2.4s)

Iter	Nodes	Cost
0	10	11
1	20	11
2	47	11
3	136	10
4	329	10
5	613	10
6	968	10
7	1434	9
8	3096	9
done	5000	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) z)

rewrite20.0ms

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` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

18.0ms

(/ (- x y) z)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(/ (- x y) z)

simplify1.9s

Counts

43 → 43

Iterations

Useful iterations: 4 (846.0ms)

Iter	Nodes	Cost
0	75	416
1	160	394
2	375	374
3	1000	374
4	2603	373
done	5001	373

prune101.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

253×	`times-frac`
204×	`add-sqr-sqrt`
200×	`*-un-lft-identity`
192×	`add-cube-cbrt`
169×	`prod-diff`
29×	`div-inv`
13×	`fma-neg`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--` `log1p-expm1-u` `sub-div`

Counts

1 → 207

Calls

1 calls:

40.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify2.6s

Counts

210 → 210

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	310	7884
1	683	6890
2	1472	4963
3	4558	3552
done	5000	3552

prune198.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 149

Calls

2 calls:

16.0ms	(/ z (- x y))
18.0ms	(/ 1 (/ z (- x y)))

series42.0ms

Calls

1 calls:

38.0ms

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