Details

sample115.0ms

Algorithm

intervals

Results

78.0ms	180×	body	1280	valid
10.0ms	277×	body	80	valid
9.0ms	40×	body	640	valid
4.0ms	27×	body	320	valid
1.0ms	9×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	2899
9	809
8	249
7	88
6	71
5	62
4	56
3	40
2	26
1	14
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ -1 (exp x))
0.0b	(- (exp x) 2.0)
3.0b	(- (- (exp x) 2.0) (/ -1 (exp x)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`times-frac` `add-log-exp`
5×	`add-cbrt-cube`
4×	`diff-log` `add-exp-log` `distribute-lft-out--`
3×	`pow1` `associate-/r` `sub-neg` `flip3--` `flip--` `associate-/l` `difference-of-squares`
2×	`associate--l+` `frac-sub`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 63

Calls

3 calls:

11.0ms	(/ -1 (exp x))
15.0ms	(- (exp x) 2.0)
76.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))

series117.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ -1 (exp x))
23.0ms	(- (exp x) 2.0)
81.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))

simplify2.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	4084
2	765
1	275
0	129

prune313.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* x x) (* x x)) 1/12)
0.1b	(* x (* x x))
0.1b	(* x (* x x))
0.1b	(* (* x x) (* x x))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

161×	`pow1`
46×	`pow-prod-up`
44×	`add-cbrt-cube` `add-exp-log`
42×	`pow-prod-down`
27×	`prod-exp` `cbrt-unprod`
24×	`pow-sqr`
20×	`pow-plus`
15×	`pow2`
10×	`add-sqr-sqrt`
8×	`associate-l`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `add-log-exp` `unswap-sqr`
2×	`cube-unmult`
1×	`swap-sqr`

Counts

4 → 139

Calls

4 calls:

126.0ms	(* (* (* x x) (* x x)) 1/12)
26.0ms	(* x (* x x))
32.0ms	(* x (* x x))
47.0ms	(* (* x x) (* x x))

series208.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (* (* x x) (* x x)) 1/12)
44.0ms	(* x (* x x))
48.0ms	(* x (* x x))
38.0ms	(* (* x x) (* x x))

simplify2.0s

Counts

151 → 151

Iterations

Iter	Nodes
done	5000
2	2068
1	293
0	95

prune365.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	11

end0.0ms

sample5.0s

Algorithm

intervals

Results

3.4s	5679×	body	1280	valid
450.0ms	288×	body	160	valid
422.0ms	8042×	body	80	valid
332.0ms	1253×	body	640	valid
100.0ms	630×	body	320	valid