Details

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify213.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	12	5
2	14	5
3	15	5
4	20	5
5	40	5
6	61	5
7	150	5
8	1040	5
9	5002	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ 2.0 (+ (exp x) (exp (- x))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 45

Calls

2 calls:

4.0ms	(+ (exp x) (exp (- x)))
6.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series65.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp x) (exp (- x)))
42.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify118.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	191	411
1	633	377
2	3009	375
3	5002	374

prune85.0ms

Filtered

51 candidates to 39 candidates (76.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	1	52

Merged error: 0b

Counts

52 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.0b	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))
0.0b	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
0.0b	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity`
60×	`times-frac`
47×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`cbrt-prod`
36×	`unpow-prod-down` `cube-prod`
17×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow1` `div-inv`
4×	`associate-/r*`
3×	`pow-unpow` `associate-/l*`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `sum-log` `rem-cbrt-cube`

Counts

4 → 153

Calls

4 calls:

4.0ms	(+ (exp (* -1 x)) (exp x))
9.0ms	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))
6.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
8.0ms	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)

series174.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp (* -1 x)) (exp x))
40.0ms	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))
35.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
77.0ms	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)

simplify63.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	461	1622
1	1999	1515
2	5001	1501

prune229.0ms

Filtered

165 candidates to 83 candidates (50.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	165	1	166

Merged error: 0b

Counts

166 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample323.0ms

Algorithm

intervals

Results

230.0ms

8000×

body

valid

Details

sample13.0ms

simplify213.0ms

prune2.0ms

localize6.0ms

rewrite12.0ms

series65.0ms

simplify118.0ms

prune85.0ms

localize12.0ms

rewrite32.0ms

series174.0ms

simplify63.0ms

prune229.0ms

simplify1.0ms

end0.0ms

sample323.0ms

Profiling