Details

sample277.0ms

Algorithm

intervals

Results

170.0ms	115×	body	1280	valid
60.0ms	78×	body	640	valid
16.0ms	36×	body	320	valid
9.0ms	256×	pre	80	true
5.0ms	21×	body	160	valid
0.0ms	6×	body	80	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	13
0	7

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.8b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (log (- 1 x)) (log1p x))
5.2b	(log (- 1 x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`times-frac` `add-cube-cbrt`
7×	`pow1`
6×	`log-prod`
5×	`add-exp-log` `log-pow`
4×	`log-div` `add-cbrt-cube` `associate-/l*`
3×	`associate-/r*`
2×	`expm1-log1p-u` `log1p-def` `flip3--` `div-sub` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `div-exp` `rem-log-exp` `div-inv` `distribute-lft-out--`

Counts

2 → 58

Calls

2 calls:

12.0ms	(/ (log (- 1 x)) (log1p x))
5.0ms	(log (- 1 x))

series137.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(/ (log (- 1 x)) (log1p x))
25.0ms	(log (- 1 x))

simplify1.2s

Counts

64 → 64

Iterations

Iter	Nodes
done	2006
3	2006
2	1105
1	383
0	163

prune246.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (log1p (- x)) (log1p x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

5.0ms

(/ (log1p (- x)) (log1p x))

series91.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

(/ (log1p (- x)) (log1p x))

simplify965.0ms

Counts

33 → 33

Iterations

Iter	Nodes
done	2008
3	2008
2	883
1	265
0	112

prune223.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (log1p (- x)) (log1p x)))
0.0b	(/ (log1p (- x)) (log1p x))
0.0b	(/ (log1p (- x)) (log1p x))
0.0b	(/ (log1p (- x)) (log1p x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`cbrt-prod`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`cbrt-div` `pow1/3`

Counts

4 → 115

Calls

4 calls:

1.0ms	(cbrt (/ (log1p (- x)) (log1p x)))
4.0ms	(/ (log1p (- x)) (log1p x))
4.0ms	(/ (log1p (- x)) (log1p x))
4.0ms	(/ (log1p (- x)) (log1p x))

series497.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt (/ (log1p (- x)) (log1p x)))
97.0ms	(/ (log1p (- x)) (log1p x))
107.0ms	(/ (log1p (- x)) (log1p x))
77.0ms	(/ (log1p (- x)) (log1p x))

simplify2.0s

Counts

127 → 127

Iterations

Iter	Nodes
done	2000
2	2000
1	858
0	307

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (log (- 1 (* x x))) (log1p x))
2.1b	(log (- 1 (* x x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`times-frac` `add-cube-cbrt`
7×	`pow1`
5×	`log-prod` `add-exp-log` `log-pow`
4×	`log-div` `add-cbrt-cube` `associate-/l*`
3×	`associate-/r*`
2×	`expm1-log1p-u` `log1p-def` `flip3--` `div-sub` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `div-exp` `rem-log-exp` `div-inv`

Counts

2 → 57

Calls

2 calls:

11.0ms	(/ (log (- 1 (* x x))) (log1p x))
4.0ms	(log (- 1 (* x x)))

series223.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(/ (log (- 1 (* x x))) (log1p x))
98.0ms	(log (- 1 (* x x)))

simplify1.3s

Counts

63 → 63

Iterations

Iter	Nodes
done	2000
3	2000
2	1352
1	425
0	179

prune594.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample9.1s

Algorithm

intervals

Results

5.5s	3479×	body	1280	valid
1.9s	2400×	body	640	valid
588.0ms	1260×	body	320	valid
483.0ms	237×	body	80	valid
332.0ms	8000×	pre	80	true
163.0ms	624×	body	160	valid