Details

sample27.0ms

Algorithm

intervals

Results

9.0ms

275×

body

valid

simplify264.0ms

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	72	164
5	98	164
6	120	164
7	146	164
8	162	164
9	166	164
10	169	164
done	169	164

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite105.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 106

Calls

2 calls:

37.0ms	(/ (- x y) (- z y))
61.0ms	(* (/ (- x y) (- z y)) t)

series221.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (- x y) (- z y))
152.0ms	(* (/ (- x y) (- z y)) t)

simplify3.4s

Counts

112 → 112

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	147	27878
1	381	26638
2	1108	26357
3	3947	26277
done	5000	26277

prune455.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize26.0ms

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)

rewrite497.0ms

Algorithm

rewrite-expression-head

Rules

743×	`*-un-lft-identity`
725×	`add-sqr-sqrt`
711×	`times-frac`
441×	`prod-diff`
417×	`add-cube-cbrt`
161×	`distribute-lft-out--`
149×	`difference-of-squares`
98×	`associate-/r/`
51×	`flip3--` `flip--`
49×	`div-inv`
21×	`fma-neg`
18×	`associate-l`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
6×	`pow1` `distribute-rgt-out--` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
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 → 610

Calls

4 calls:

9.0ms	(/ x (- z y))
89.0ms	(- (/ x (- z y)) (/ y (- z y)))
9.0ms	(/ y (- z y))
333.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

series382.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ x (- z y))
80.0ms	(- (/ x (- z y)) (/ y (- z y)))
64.0ms	(/ y (- z y))
198.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify3.5s

Counts

622 → 622

Iterations

Useful iterations: 2 (1.6s)

Iter	Nodes	Cost
0	593	446221
1	1337	389699
2	3273	349543
done	5001	349543

prune3.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize24.0ms

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)

rewrite578.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 218

Calls

4 calls:

27.0ms	(/ (- z y) x)
11.0ms	(/ y (- z y))
14.0ms	(/ 1 (/ (- z y) x))
508.0ms	(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

series492.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (- z y) x)
68.0ms	(/ y (- z y))
88.0ms	(/ 1 (/ (- z y) x))
298.0ms	(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

simplify321.0ms

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	306	65682