Details

analyze2.0ms

Algorithm

Search

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

sample21.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	8
1	11	8

prune2.0ms

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

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` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 33

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))))

simplify49.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4960	437
1	4960	437

prune42.0ms

Filtered

25 candidates to 36 candidates (-44.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	2	37

Merged error: 0b

Counts

37 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sqrt 2.0) (+ (exp x) (exp (neg x))))
0.5b	(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (neg x)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
52×	`add-sqr-sqrt` `times-frac`
36×	`add-cube-cbrt`
35×	`sqrt-prod`
30×	`associate-r`
13×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l` `associate-/l*` `unswap-sqr`
4×	`pow1` `associate-/r*` `associate-/r/`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 104

Calls

2 calls:

9.0ms	(/ (sqrt 2.0) (+ (exp x) (exp (neg x))))
15.0ms	(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (neg x)))))

series22.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/ (sqrt 2.0) (+ (exp x) (exp (neg x))))
12.0ms	(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (neg x)))))

simplify47.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5317	1408

prune110.0ms

Filtered

63 candidates to 110 candidates (-74.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	110	2	112

Merged error: 0b

Counts

112 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.20833333333333334 (pow x 4))
12.0b	(+ (* 0.20833333333333334 (pow x 4)) (- 1.0 (* x (* x 0.5))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r` `add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`associate-l` `prod-exp` `unswap-sqr`
2×	`pow1` `sum-log` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r-` `sub-neg` `associate-+r+` `flip3-+` `diff-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 39

Calls

2 calls:

5.0ms	(* 0.20833333333333334 (pow x 4))
5.0ms	(+ (* 0.20833333333333334 (pow x 4)) (- 1.0 (* x (* x 0.5))))

series8.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* 0.20833333333333334 (pow x 4))
5.0ms	(+ (* 0.20833333333333334 (pow x 4)) (- 1.0 (* x (* x 0.5))))

simplify47.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4996	460
1	4996	460

prune53.0ms

Filtered

29 candidates to 45 candidates (-55.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	2	47

Merged error: 0b

Counts

47 → 2

regimes52.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	11	12

end0.0ms

analyze1.0ms

Algorithm

Search

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

sample325.0ms

Algorithm

intervals

Results

235.0ms

8000×

body

valid

Details

analyze2.0ms

sample21.0ms

simplify2.0ms

prune2.0ms

localize6.0ms

rewrite7.0ms

series8.0ms

simplify49.0ms

prune42.0ms

localize8.0ms

rewrite27.0ms

series22.0ms

simplify47.0ms

prune110.0ms

localize8.0ms

rewrite11.0ms

series8.0ms

simplify47.0ms

prune53.0ms

regimes52.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.0ms

sample325.0ms

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