Details

sample40.0ms

Algorithm

intervals

Results

16.0ms

275×

body

valid

simplify155.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	164
1	17	164
2	25	164
3	47	164
4	66	164
5	90	164
6	108	164
7	125	164
8	141	164
9	145	164
10	148	164
done	148	164

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
2.1b	(* (/ (- x y) (- z y)) t)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 102

Calls

2 calls:

17.0ms	(/ (- x y) (- z y))
46.0ms	(* (/ (- x y) (- z y)) t)

series213.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (- x y) (- z y))
149.0ms	(* (/ (- x y) (- z y)) t)

simplify3.2s

Counts

108 → 108

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	143	26984
1	372	25794
2	1087	25513
3	3938	25433
done	5002	25433

prune579.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (- z y))
0.0b	(- (/ x (- z y)) (/ y (- z y)))
0.0b	(/ y (- z y))
2.1b	(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite516.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
66×	`times-frac`
32×	`distribute-lft-out--`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`associate-l`
12×	`associate-/r/`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
8×	`flip3--` `flip--`
6×	`pow1` `distribute-rgt-out--` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-*l/`
3×	`associate-r`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `frac-sub` `sub-div`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

8.0ms	(/ x (- z y))
118.0ms	(- (/ x (- z y)) (/ y (- z y)))
17.0ms	(/ y (- z y))
366.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

series432.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ x (- z y))
113.0ms	(- (/ x (- z y)) (/ y (- z y)))
63.0ms	(/ y (- z y))
214.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify3.5s

Counts

152 → 152

Iterations

Useful iterations: 2 (302.0ms)

Iter	Nodes	Cost
0	187	35486
1	398	32827
2	1170	32507
3	4029	32507
done	5002	32507

prune713.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z y) x)
0.0b	(/ y (- z y))
0.8b	(/ 1 (/ (- z y) x))
2.1b	(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

rewrite583.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
157×	`add-sqr-sqrt`
138×	`*-un-lft-identity`
82×	`add-cube-cbrt`
30×	`difference-of-squares`
27×	`associate-/r*`
25×	`distribute-lft-out--`
21×	`add-exp-log`
17×	`associate-l`
15×	`add-cbrt-cube`
11×	`associate-/l*`
9×	`div-exp`
8×	`div-inv`
7×	`pow1`
5×	`cbrt-undiv`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `flip3--` `associate-r` `associate-*l/` `associate-/r/` `flip--`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`div-sub` `pow-prod-down` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 210

Calls

4 calls:

19.0ms	(/ (- z y) x)
8.0ms	(/ y (- z y))
13.0ms	(/ 1 (/ (- z y) x))
526.0ms	(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

series475.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (- z y) x)
66.0ms	(/ y (- z y))
118.0ms	(/ 1 (/ (- z y) x))
248.0ms	(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

simplify261.0ms

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	298	63974