Details

sample278.0ms

Algorithm

intervals

Results

12.0ms	451×	body	80	valid
7.0ms	451×	pre	80	true

simplify5.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	63	11
4	143	11
5	236	11
6	315	11
7	365	11
8	474	11
9	876	11
10	1335	11
11	1906	11
12	4158	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 71

Calls

3 calls:

9.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
34.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series126.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* m (- 1.0 m))
40.0ms	(/ (* m (- 1.0 m)) v)
43.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify404.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	126	882
1	322	845
2	1099	747
done	5000	747

prune148.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
0.3b	(/ (- 1.0 m) (sqrt v))
0.3b	(/ m (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
37×	`associate-r`
25×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 200

Calls

4 calls:

41.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
8.0ms	(/ (- 1.0 m) (sqrt v))
3.0ms	(/ m (sqrt v))
36.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
41.0ms	(/ (- 1.0 m) (sqrt v))
47.0ms	(/ m (sqrt v))
46.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify60.0ms

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	288	3029