Details

sample183.0ms

Algorithm

intervals

Results

71.0ms	240×	body	10240	exit
59.0ms	99×	body	1280	valid
23.0ms	80×	body	640	valid
7.0ms	40×	body	320	valid
2.0ms	18×	body	160	valid
1.0ms	19×	body	80	valid

simplify12.1s

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	66	13
6	130	13
7	567	13
8	4527	13
done	5000	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
20×	`times-frac`
13×	`add-cube-cbrt`
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`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `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 → 61

Calls

2 calls:

79.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
19.0ms	(- (exp x) (exp (- x)))

series167.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
54.0ms	(- (exp x) (exp (- x)))

simplify574.0ms

Counts

67 → 67

Iterations

Useful iterations: done (571.0ms)

Iter	Nodes	Cost
0	106	1228
1	264	1185
2	1065	1111
done	5001	1109

prune163.0ms

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` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `tanh-def` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh x)

series120.0ms

Counts

1 → 3

Calls

1 calls:

120.0ms

(tanh x)

simplify1.9s

Counts

13 → 13

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	42	107
1	92	83
2	218	79
3	703	79
4	3589	79
done	5001	79

prune34.0ms

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

sample9.1s

Algorithm

intervals

Results

4.8s	7481×	body	10240	exit
2.6s	3301×	body	1280	valid
927.0ms	2466×	body	640	valid
262.0ms	1220×	body	320	valid
75.0ms	587×	body	160	valid
33.0ms	426×	body	80	valid