Details

sample160.0ms

Algorithm

intervals

Results

73.0ms	240×	body	10240	exit
39.0ms	99×	body	1280	valid
20.0ms	80×	body	640	valid
7.0ms	40×	body	320	valid
2.0ms	18×	body	160	valid
1.0ms	19×	body	80	valid

simplify8.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	15	13
2	25	13
3	31	13
4	42	13
5	70	13
6	136	13
7	605	13
8	4776	13
done	5000	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize8.0ms

Local error

Found 2 expressions with local error:

2.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.2b	(- (exp x) (exp (- x)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `times-frac`
9×	`prod-diff`
6×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-neg`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 77

Calls

2 calls:

101.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
18.0ms	(- (exp x) (exp (- x)))

series137.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
45.0ms	(- (exp x) (exp (- x)))

simplify1.7s

Counts

83 → 83

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	134	1618
1	323	1441
2	1415	1288
done	5002	1231

prune200.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

1.0ms

(tanh x)

series103.0ms

Counts

1 → 3

Calls

1 calls:

103.0ms

(tanh x)

simplify2.0s

Counts

15 → 15

Iterations

Useful iterations: 3 (129.0ms)

Iter	Nodes	Cost
0	44	113
1	93	87
2	207	82
3	659	81
4	3437	81
done	5000	81

prune32.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
done	2	2

end0.0ms

sample7.4s

Algorithm

intervals

Results

3.9s	7481×	body	10240	exit
1.5s	3301×	body	1280	valid
1.1s	2466×	body	640	valid
339.0ms	1220×	body	320	valid
65.0ms	587×	body	160	valid
25.0ms	426×	body	80	valid