Details

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4772	8
1	4772	8

prune3.0ms

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 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 37

Calls

1 calls:

6.0ms

(/ 2.0 (+ (exp x) (exp (neg x))))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(/ 2.0 (+ (exp x) (exp (neg x))))

simplify55.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4904	466
1	4904	466

prune50.0ms

Filtered

29 candidates to 40 candidates (-37.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	2	41

Merged error: 0b

Counts

41 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
0.0b	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

124×	`sqrt-prod`
96×	`times-frac`
94×	`*-un-lft-identity`
66×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/r*`
14×	`cosh-undef` `distribute-lft-out`
12×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
4×	`sqrt-div` `associate-/r/`
2×	`pow1` `cbrt-undiv` `sqrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

2 → 154

Calls

2 calls:

8.0ms	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
8.0ms	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))

series28.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
14.0ms	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5100	2604

prune172.0ms

Filtered

84 candidates to 160 candidates (-90.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	160	2	162

Merged error: 0b

Counts

162 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(cbrt (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3))
0.0b	(pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3)
0.0b	(/ 2.0 (+ (exp x) (exp (neg x))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
75×	`times-frac`
51×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`cbrt-prod`
42×	`unpow-prod-down` `cube-prod`
16×	`cosh-undef` `distribute-lft-out`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `associate-/r*` `flip-+` `div-inv`
4×	`pow1`
3×	`pow-unpow` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube`

Counts

3 → 157

Calls

3 calls:

11.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3))
8.0ms	(pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3)
6.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))

series29.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3))
13.0ms	(pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3)
8.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))

simplify56.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5823	2212

prune136.0ms

Filtered

81 candidates to 166 candidates (-104.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	166	2	168

Merged error: 0b

Counts

168 → 2

regimes80.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	21
1	18	21

end0.0ms

sample313.0ms

Algorithm

intervals

Results

226.0ms

8000×

body

valid

Details

analyze1.0ms

sample12.0ms

simplify64.0ms

prune3.0ms

localize6.0ms

rewrite7.0ms

series8.0ms

simplify55.0ms

prune50.0ms

localize9.0ms

rewrite24.0ms

series28.0ms

simplify58.0ms

prune172.0ms

localize9.0ms

rewrite31.0ms

series29.0ms

simplify56.0ms

prune136.0ms

regimes80.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample313.0ms

Profiling