Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify216.0ms

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	150	5
8	1040	5
9	5002	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` `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 (- x))))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify72.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	163	311
1	549	289
2	2172	288
3	5001	288

prune75.0ms

Filtered

36 candidates to 27 candidates (75.0%)

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 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
50×	`times-frac`
44×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
36×	`sqrt-prod`
14×	`distribute-lft-out`
8×	`add-exp-log` `associate-/r*` `associate-/r/` `add-cbrt-cube`
6×	`pow1` `associate-/l*`
4×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-exp` `clear-num`

Counts

4 → 126

Calls

4 calls:

6.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
6.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
10.0ms	(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
7.0ms	(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

series304.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
44.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
110.0ms	(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
111.0ms	(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify193.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	266	1346
1	859	1262
2	4410	1240
3	5002	1240

prune349.0ms

Filtered

138 candidates to 98 candidates (71.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	138	2	140

Merged error: 0b

Counts

140 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
0.0b	(/ 2.0 (+ (exp x) (exp (- x))))
0.2b	(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.2b	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

156×	`sqrt-prod`
140×	`add-sqr-sqrt`
139×	`times-frac`
133×	`*-un-lft-identity`
87×	`add-cube-cbrt`
48×	`associate-l`
23×	`distribute-lft-out`
21×	`associate-r`
15×	`unswap-sqr`
13×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
10×	`associate-/r/`
9×	`associate-/l*`
7×	`pow1` `sqrt-div`
5×	`flip3-+` `flip-+` `div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `sqrt-undiv` `div-exp`
2×	`rem-sqrt-square` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
1×	`frac-times` `sqrt-pow1` `pow1/2` `sqrt-unprod` `associate-r/` `swap-sqr` `pow-prod-down` `associate-l/` `rem-square-sqrt` `*-commutative`

Counts

4 → 236

Calls

4 calls:

32.0ms	(* (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
6.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
6.0ms	(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
9.0ms	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))

series372.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
43.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
109.0ms	(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
117.0ms	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))

simplify81.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	587	3498
1	2367	3320
2	5001	3272

prune563.0ms

Filtered

248 candidates to 145 candidates (58.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	248	2	250

Merged error: 0b

Counts

250 → 2

regimes45.0ms

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	13
1	10	13

end0.0ms

sample264.0ms

Algorithm

intervals

Results

176.0ms

8000×

body

valid