Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify130.0ms

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	143	5
8	1357	5
9	5001	5

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 2 expressions with local error:

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

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))
4.0ms	(+ (exp x) (exp (neg x)))

simplify122.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	192	411
1	634	377
2	3020	374
3	5001	373

prune58.0ms

Filtered

39 candidates to 51 candidates (-30.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	2	52

Merged error: 0b

Counts

52 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ -1 (exp x)) (exp x))
0.0b	(/ (neg 2.0) (- (/ -1 (exp x)) (exp x)))
0.0b	(/ -1 (exp x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

103×	`add-sqr-sqrt`
81×	`times-frac`
67×	`*-un-lft-identity`
43×	`add-cube-cbrt`
24×	`difference-of-squares`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`associate-/l*`
12×	`distribute-lft-out--`
9×	`associate-/r*`
7×	`neg-mul-1` `add-cbrt-cube`
6×	`add-exp-log`
5×	`add-log-exp`
3×	`pow1`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`neg-sub0` `sub-neg` `diff-log` `div-sub` `distribute-frac-neg`

Counts

3 → 134

Calls

3 calls:

10.0ms	(- (/ -1 (exp x)) (exp x))
11.0ms	(/ (neg 2.0) (- (/ -1 (exp x)) (exp x)))
4.0ms	(/ -1 (exp x))

series22.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(- (/ -1 (exp x)) (exp x))
11.0ms	(/ (neg 2.0) (- (/ -1 (exp x)) (exp x)))
4.0ms	(/ -1 (exp x))

simplify49.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	441	1397
1	1578	1346
2	5001	1338

prune162.0ms

Filtered

98 candidates to 143 candidates (-45.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	143	2	145

Merged error: 0b

Counts

145 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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:

5.0ms	(+ (exp (neg x)) (exp x))
7.0ms	(/ 2.0 (+ (exp (neg x)) (exp x)))
10.0ms	(cbrt (pow (/ 2.0 (+ (exp (neg x)) (exp x))) 3))
9.0ms	(pow (/ 2.0 (+ (exp (neg x)) (exp x))) 3)

series38.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (exp (neg x)) (exp x))
9.0ms	(/ 2.0 (+ (exp (neg x)) (exp x)))
9.0ms	(cbrt (pow (/ 2.0 (+ (exp (neg x)) (exp x))) 3))
17.0ms	(pow (/ 2.0 (+ (exp (neg x)) (exp x))) 3)

simplify63.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	473	1622
1	2068	1505
2	5003	1489

prune139.0ms

Filtered

83 candidates to 165 candidates (-98.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	165	2	167

Merged error: 0b

Counts

167 → 2

regimes27.0ms

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	6
1	10	6

end0.0ms

sample348.0ms

Algorithm

intervals

Results

225.0ms

8000×

body

valid

Details

sample14.0ms

simplify130.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series13.0ms

simplify122.0ms

prune58.0ms

localize6.0ms

rewrite30.0ms

series22.0ms

simplify49.0ms

prune162.0ms

localize9.0ms

rewrite37.0ms

series38.0ms

simplify63.0ms

prune139.0ms

regimes27.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample348.0ms

Profiling