Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify215.0ms

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	41	5
6	66	5
7	165	5
8	1123	5
9	5001	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 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `distribute-lft-out`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

6.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify73.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	167	323
1	568	300
2	2220	299
3	5001	299

prune85.0ms

Filtered

38 candidates to 29 candidates (76.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	2	39

Merged error: 0b

Counts

39 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (/ 2.0 (+ (exp x) (exp (- x)))))
0.0b	(expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))
0.0b	(/ 2.0 (+ (exp x) (exp (- x))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-/r*` `distribute-lft-out`
3×	`pow1` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`associate-/r/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `frac-2neg` `flip3-+` `log1p-expm1` `div-exp` `clear-num` `flip-+` `div-inv` `expm1-udef`

Counts

3 → 57

Calls

3 calls:

1.0ms	(log1p (/ 2.0 (+ (exp x) (exp (- x)))))
1.0ms	(expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))
7.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series373.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(log1p (/ 2.0 (+ (exp x) (exp (- x)))))
195.0ms	(expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))
39.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify116.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	252	535
1	799	486
2	3358	481
3	5001	481

prune161.0ms

Filtered

66 candidates to 46 candidates (69.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	66	2	68

Merged error: 0b

Counts

68 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ (exp x) (exp (- x))))
0.2b	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.2b	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.2b	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
54×	`cbrt-prod`
48×	`times-frac`
37×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`distribute-lft-out`
8×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`

Counts

4 → 122

Calls

4 calls:

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

series642.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
201.0ms	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
198.0ms	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
198.0ms	(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify159.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	267	1472
1	850	1404
2	4028	1379
3	5001	1379

prune415.0ms

Filtered

134 candidates to 103 candidates (76.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	134	2	136

Merged error: 0b

Counts

136 → 2

regimes41.0ms

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	10	7
1	10	7

end0.0ms

sample267.0ms

Algorithm

intervals

Results

180.0ms

8000×

body

valid