Details

sample113.0ms

Algorithm: halfpoints

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	47	7
2	84	7
3	121	7
4	206	7
5	410	7
6	1017	7
7	2074	7
8	5001	7

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`-un-lft-identity` `associate-l*`
15×	`add-sqr-sqrt`
13×	`times-frac`
10×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-r` `distribute-lft-out`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

10.0ms

(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify94.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	217	361
1	826	316
2	3481	314
3	5001	314

prune76.0ms

Filtered

38 candidates to 27 candidates (71.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	3	39

Merged error: 0b

Counts

39 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
0.0b	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

66×	`sqrt-prod`
63×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
51×	`times-frac`
39×	`add-cube-cbrt`
38×	`associate-l`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
7×	`sqrt-div`
4×	`rem-sqrt-square` `associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*r/`

Counts

4 → 130

Calls

4 calls:

11.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
6.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
6.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
19.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

series442.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
99.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
100.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
123.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	389	1642
1	1434	1475
2	5002	1463

prune343.0ms

Filtered

142 candidates to 105 candidates (73.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	142	3	145

Merged error: 0b

Counts

145 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp x) (exp (- x))))
0.0b	(sqrt (+ (exp x) (exp (- x))))
0.2b	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
0.7b	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
50×	`associate-l`
45×	`add-sqr-sqrt`
44×	`times-frac`
39×	`add-exp-log`
35×	`add-cube-cbrt`
33×	`sqrt-prod`
30×	`add-cbrt-cube`
17×	`prod-exp`
13×	`pow1`
12×	`cbrt-unprod`
10×	`div-exp`
8×	`distribute-lft-out`
6×	`cbrt-undiv`
4×	`sqrt-div` `associate-r` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`1-exp` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `*-commutative` `flip-+` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 131

Calls

4 calls:

5.0ms	(sqrt (+ (exp x) (exp (- x))))
5.0ms	(sqrt (+ (exp x) (exp (- x))))
12.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
23.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sqrt (+ (exp x) (exp (- x))))
47.0ms	(sqrt (+ (exp x) (exp (- x))))
89.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
61.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	575	1800
1	2581	1477
2	5001	1337

prune291.0ms

Filtered

143 candidates to 91 candidates (63.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	143	3	146

Merged error: 0b

Counts

146 → 3

regimes35.0ms

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	12	7
1	12	7

end0.0ms

sample1.8s

Algorithm: halfpoints