Details

sample35.0ms

Algorithm

intervals

Results

9.0ms	32×	body	1280	valid
8.0ms	198×	body	80	valid
5.0ms	27×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	6×	body	160	valid

simplify30.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	23	8
3	48	8
4	67	8
5	76	8
done	76	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.7b	(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

7.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
5.0ms	(/ (* x (/ (sin y) y)) z)

series339.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
259.0ms	(/ (* x (/ (sin y) y)) z)

simplify386.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	139	893
1	332	857
2	1160	741
done	5000	741

prune206.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* z (/ y (sin y)))
0.1b	(/ y (sin y))
2.2b	(/ x (* z (/ y (sin y))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/l*`
5×	`pow1`
4×	`prod-exp` `associate-/r*` `cbrt-unprod`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative`

Counts

3 → 83

Calls

3 calls:

8.0ms	(* z (/ y (sin y)))
2.0ms	(/ y (sin y))
5.0ms	(/ x (* z (/ y (sin y))))

series170.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* z (/ y (sin y)))
27.0ms	(/ y (sin y))
80.0ms	(/ x (* z (/ y (sin y))))

simplify404.0ms

Counts

92 → 92

Iterations

Useful iterations: done (401.0ms)

Iter	Nodes	Cost
0	139	893
1	325	861
2	1070	745
done	5000	743

prune213.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
2.0b	(/ (/ x z) (/ y (sin y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

430×	`times-frac`
206×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
30×	`div-inv`
16×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
9×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

2 → 242

Calls

2 calls:

2.0ms	(/ y (sin y))
11.0ms	(/ (/ x z) (/ y (sin y)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ y (sin y))
82.0ms	(/ (/ x z) (/ y (sin y)))

simplify385.0ms

Counts

248 → 248

Iterations

Useful iterations: done (377.0ms)

Iter	Nodes	Cost
0	455	4717
1	1325	4410
done	5000	4364

prune692.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sin y))
0.1b	(* z (* y (/ 1 (sin y))))
0.2b	(* y (/ 1 (sin y)))
2.2b	(/ x (* z (* y (/ 1 (sin y)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-exp-log`
34×	`add-cbrt-cube`
30×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
23×	`add-cube-cbrt` `times-frac`
22×	`prod-exp`
14×	`div-exp` `associate-r`
12×	`pow1` `cbrt-unprod`
8×	`cbrt-undiv`
7×	`associate-*r/`
6×	`associate-l` `associate-/l*`
4×	`rec-exp` `1-exp` `pow-prod-down` `associate-/r*` `add-log-exp`
3×	`un-div-inv` `div-inv` `unswap-sqr`
2×	`frac-2neg` `clear-num` `associate-/r/` `*-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 120

Calls

4 calls:

2.0ms	(/ 1 (sin y))
12.0ms	(* z (* y (/ 1 (sin y))))
8.0ms	(* y (/ 1 (sin y)))
12.0ms	(/ x (* z (* y (/ 1 (sin y)))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ 1 (sin y))
72.0ms	(* z (* y (/ 1 (sin y))))
23.0ms	(* y (/ 1 (sin y)))
86.0ms	(/ x (* z (* y (/ 1 (sin y)))))

simplify40.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	178	1374