Details

analyze21.0ms (0.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

sample66.0ms (2.3%)

Algorithm

1×

intervals

Results

33.0ms	99×	body	1280	valid
18.0ms	88×	body	640	valid
5.0ms	41×	body	320	valid
1.0ms	16×	body	160	valid
1.0ms	12×	body	80	valid

simplify61.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4835	13
1	4835	13

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 58.8b

Counts

2 → 1

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

1.3b	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
4.2b	(- (exp x) (exp (neg x)))

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`*-un-lft-identity`
30×	`times-frac`
29×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
7×	`sinh-undef` `cosh-undef` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/l*`
5×	`associate-/r*`
4×	`add-exp-log` `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 → 73

Calls

2 calls:

11.0ms	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.0ms	(- (exp x) (exp (neg x)))

series24.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

18.0ms	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
6.0ms	(- (exp x) (exp (neg x)))

simplify63.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	6048	1262

prune90.0ms (3.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	3	80

Merged error: 0b

Counts

80 → 3

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `tanh-def-c` `add-cbrt-cube` `tanh-def-b` `add-log-exp` `tanh-def-a`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh x)

series15.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

15.0ms

(tanh x)

simplify44.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	6015	79

prune23.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

1.3b	(/ (sinh x) (cosh x))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
1×	`pow1` `cbrt-undiv` `sinh-def` `cosh-def` `frac-2neg` `div-exp` `clear-num` `associate-/r/` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

4.0ms

(/ (sinh x) (cosh x))

series21.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ (sinh x) (cosh x))

simplify90.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4899	273
1	4899	273

prune37.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	32	3	35

Merged error: 0b

Counts

35 → 3

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ (cosh x) (sinh x)))
1.2b	(/ (cosh x) (sinh x))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`associate-/r/` `div-inv` `associate-/l*`
5×	`sinh-def`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`cosh-def` `pow-flip` `associate-/l/` `inv-pow`

Counts

2 → 109

Calls

2 calls:

6.0ms	(/ 1 (/ (cosh x) (sinh x)))
4.0ms	(/ (cosh x) (sinh x))

series40.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ 1 (/ (cosh x) (sinh x)))
20.0ms	(/ (cosh x) (sinh x))

simplify61.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	6318	1203

prune116.0ms (4.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	115	3	118

Merged error: 0b

Counts

118 → 3

regimes28.0ms (1%)

Accuracy

Total 0.0b remaining (72.3%)

Threshold costs 0.0b (72.3%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
1	2	2

end0.0ms (0%)

sample2.0s (69.6%)

Algorithm

1×

intervals

Results

1.1s	3264×	body	1280	valid
513.0ms	2454×	body	640	valid
169.0ms	1262×	body	320	valid
51.0ms	615×	body	160	valid
18.0ms	405×	body	80	valid

Details

analyze21.0ms (0.7%)

sample66.0ms (2.3%)

simplify61.0ms (2.1%)

prune5.0ms (0.2%)

localize7.0ms (0.3%)

rewrite18.0ms (0.6%)

series24.0ms (0.9%)

simplify63.0ms (2.2%)

prune90.0ms (3.2%)

localize2.0ms (0.1%)

rewrite1.0ms (0.1%)

series15.0ms (0.5%)

simplify44.0ms (1.6%)

prune23.0ms (0.8%)

localize4.0ms (0.2%)

rewrite5.0ms (0.2%)

series21.0ms (0.7%)

simplify90.0ms (3.2%)

prune37.0ms (1.3%)

localize5.0ms (0.2%)

rewrite14.0ms (0.5%)

series40.0ms (1.4%)

simplify61.0ms (2.2%)

prune116.0ms (4.1%)

regimes28.0ms (1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample2.0s (69.6%)

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