Details

sample99.0ms

Algorithm

intervals

Results

50.0ms	109×	body	1280	valid
23.0ms	89×	body	640	valid
7.0ms	234×	body	80	nan
5.0ms	35×	body	320	valid
1.0ms	13×	body	160	valid
0.0ms	10×	body	80	valid

simplify78.0ms

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	62	12
5	89	12
6	110	12
7	121	12
8	123	12
done	123	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize8.0ms

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)))

rewrite25.0ms

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×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

13.0ms	(/ (+ 1.0 x) (- 1.0 x))
7.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
127.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.3s

Counts

92 → 92

Iterations

Useful iterations: 3 (401.0ms)

Iter	Nodes	Cost
0	146	1310
1	333	1243
2	1013	1182
3	4472	1136
done	5000	1136

prune237.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune14.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize10.0ms

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))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
18×	`log-prod`
12×	`add-sqr-sqrt`
11×	`pow1`
8×	`add-cube-cbrt` `log-pow` `distribute-lft-out`
6×	`log-div`
5×	`add-exp-log` `associate-+r+` `distribute-neg-in`
4×	`associate-+l+` `fma-def` `distribute-rgt-neg-in` `add-log-exp`
3×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate-+l-` `rem-log-exp` `sum-log` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3--` `unsub-neg` `neg-log` `flip--`

Counts

3 → 73

Calls

3 calls:

14.0ms	(+ (log (+ 1.0 x)) (- (log (- 1.0 x))))
4.0ms	(log (+ 1.0 x))
4.0ms	(log (- 1.0 x))

series404.0ms

Counts

3 → 9

Calls

3 calls:

300.0ms	(+ (log (+ 1.0 x)) (- (log (- 1.0 x))))
43.0ms	(log (+ 1.0 x))
61.0ms	(log (- 1.0 x))

simplify2.8s

Counts

82 → 82

Iterations

Useful iterations: 3 (430.0ms)

Iter	Nodes	Cost
0	152	863
1	364	783
2	1127	713
3	4352	707
done	5000	707

prune179.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
55×	`add-sqr-sqrt`
53×	`associate-r`
48×	`unpow-prod-down`
32×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
20×	`sqr-pow`
10×	`prod-exp` `unswap-sqr`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 100

Calls

2 calls:

0.0ms	(fma 2/3 (pow (/ x 1.0) 3) (fma 2.0 x (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
27.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))

series218.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(fma 2/3 (pow (/ x 1.0) 3) (fma 2.0 x (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
112.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))

simplify918.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (230.0ms)

Iter	Nodes	Cost
0	213	1543
1	500	1362
2	1980	1277
done	5000	1277

prune376.0ms

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	14	17
1	16	17
done	16	17

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.6s	3448×	body	1280	valid
658.0ms	2511×	body	640	valid
245.0ms	8035×	body	80	nan
194.0ms	1194×	body	320	valid
61.0ms	631×	body	160	valid
10.0ms	216×	body	80	valid