Details

sample99.0ms

Algorithm

intervals

Results

49.0ms	109×	body	1280	valid
25.0ms	89×	body	640	valid
6.0ms	234×	body	80	nan
5.0ms	35×	body	320	valid
1.0ms	13×	body	160	valid
0.0ms	10×	body	80	valid

simplify51.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	24	12
3	39	12
4	56	12
5	78	12
6	93	12
7	101	12
done	101	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
3.8b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

11.0ms	(/ (+ 1.0 x) (- 1.0 x))
6.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series150.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ 1.0 x) (- 1.0 x))
119.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify925.0ms

Counts

88 → 88

Iterations

Useful iterations: 3 (392.0ms)

Iter	Nodes	Cost
0	142	1276
1	316	1221
2	815	1150
3	2328	1108
done	5000	1108

prune183.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

29.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify543.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (246.0ms)

Iter	Nodes	Cost
0	220	1482
1	527	1293
2	1673	1087
done	5000	1087

prune290.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (- 1.0 x)))
3.8b	(log (+ 1.0 x))
3.8b	(log (- 1.0 x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`log-prod`
13×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `distribute-lft-out--`
5×	`add-exp-log` `associate--r+`
4×	`associate--l+`
3×	`flip3--` `add-cbrt-cube` `flip--` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 61

Calls

3 calls:

8.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
2.0ms	(log (+ 1.0 x))
2.0ms	(log (- 1.0 x))

series336.0ms

Counts

3 → 9

Calls

3 calls:

251.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
43.0ms	(log (+ 1.0 x))
41.0ms	(log (- 1.0 x))

simplify800.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (319.0ms)

Iter	Nodes	Cost
0	140	809
1	303	764
2	717	704
3	2176	702
done	5000	702

prune142.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 2/3 (pow (/ x 1.0) 3)) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
0.1b	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
0.2b	(* 2/3 (pow (/ x 1.0) 3))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt` `associate-r`
78×	`times-frac`
63×	`unpow-prod-down`
49×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-exp-log`
22×	`sqr-pow`
16×	`unswap-sqr`
15×	`cube-prod`
14×	`prod-exp`
10×	`div-exp` `add-cbrt-cube`
8×	`pow-exp` `add-log-exp`
7×	`pow-to-exp`
6×	`associate-l`
5×	`pow1`
4×	`associate-*r/`
3×	`cube-div` `sum-log` `cbrt-unprod` `div-inv`
2×	`flip3-+` `frac-add` `*-commutative` `flip-+`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `associate-+r+` `unpow3` `pow-prod-down`

Counts

3 → 158

Calls

3 calls:

11.0ms	(+ (* 2/3 (pow (/ x 1.0) 3)) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
24.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
23.0ms	(* 2/3 (pow (/ x 1.0) 3))

series273.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (* 2/3 (pow (/ x 1.0) 3)) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
108.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
77.0ms	(* 2/3 (pow (/ x 1.0) 3))

simplify930.0ms

Counts

167 → 167

Iterations

Useful iterations: 2 (381.0ms)

Iter	Nodes	Cost
0	319	2484
1	874	2160
2	2994	2062
done	5001	2062

prune477.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	19
1	22	19
done	22	19

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.5s	3448×	body	1280	valid
619.0ms	2511×	body	640	valid
218.0ms	8035×	body	80	nan
180.0ms	1194×	body	320	valid
57.0ms	631×	body	160	valid
9.0ms	216×	body	80	valid