Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

353×

body

valid

simplify683.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	20	9
2	40	9
3	54	9
4	75	9
5	107	9
6	171	9
7	264	9
8	414	9
9	565	9
10	653	9
11	745	9
12	758	9
13	765	9
done	765	9

prune2.0ms

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) (* t 2.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

38.0ms

(/ (- (+ x y) z) (* t 2.0))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(/ (- (+ x y) z) (* t 2.0))

simplify823.0ms

Counts

33 → 33

Iterations

Useful iterations: done (821.0ms)

Iter	Nodes	Cost
0	78	418
1	203	411
2	692	355
3	2776	353
done	5001	352

prune65.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) (* t 2.0))
0.0b	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
8×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `associate-/l*` `add-log-exp`
3×	`div-inv` `distribute-lft-out` `distribute-lft-out--`
2×	`pow1` `cbrt-undiv` `div-exp` `associate-/l/`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `flip3-+` `diff-log` `prod-exp` `clear-num` `associate-/r*` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `sub-div` `difference-of-squares`

Counts

2 → 44

Calls

2 calls:

8.0ms	(/ (+ x y) (* t 2.0))
28.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series74.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (+ x y) (* t 2.0))
40.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify863.0ms

Counts

50 → 50

Iterations

Useful iterations: 3 (259.0ms)

Iter	Nodes	Cost
0	100	707
1	268	669
2	823	605
3	3082	601
done	5001	601

prune96.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* t 2.0) (+ x y))
0.0b	(- (/ 1 (/ (* t 2.0) (+ x y))) (/ z (* t 2.0)))
0.6b	(/ 1 (/ (* t 2.0) (+ x y)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

52×	`times-frac`
40×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
29×	`add-exp-log`
24×	`add-cube-cbrt`
17×	`add-cbrt-cube`
14×	`div-exp` `associate-/r*`
11×	`associate-/r/`
7×	`cbrt-undiv` `div-inv`
6×	`distribute-lft-out`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`pow1` `prod-exp` `associate-/l*`
3×	`rec-exp` `1-exp` `difference-of-squares`
2×	`frac-2neg` `clear-num` `cbrt-unprod` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `frac-sub` `flip--` `inv-pow`

Counts

3 → 111

Calls

3 calls:

6.0ms	(/ (* t 2.0) (+ x y))
52.0ms	(- (/ 1 (/ (* t 2.0) (+ x y))) (/ z (* t 2.0)))
10.0ms	(/ 1 (/ (* t 2.0) (+ x y)))

series116.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (* t 2.0) (+ x y))
47.0ms	(- (/ 1 (/ (* t 2.0) (+ x y))) (/ z (* t 2.0)))
40.0ms	(/ 1 (/ (* t 2.0) (+ x y)))

simplify189.0ms

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	190	1864
1	488	1687