Details

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify217.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:

11.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify76.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (15.0ms)

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

prune79.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity`
98×	`sqrt-prod`
90×	`times-frac`
89×	`add-sqr-sqrt`
61×	`add-cube-cbrt`
29×	`swap-sqr`
26×	`distribute-lft-out`
21×	`associate-r` `associate-l`
18×	`pow1`
12×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube` `unswap-sqr`
8×	`sqrt-pow1` `pow1/2` `associate-/r*`
6×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`pow-prod-up`
4×	`sqrt-div`
3×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 180

Calls

3 calls:

61.0ms	(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
13.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
11.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series178.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
42.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
38.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify66.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	378	1913
1	1823	1779
2	5001	1749

prune391.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (+ (exp x) (exp (- x))))
0.0b	(/ 2.0 (+ (exp x) (exp (- x))))
0.0b	(pow (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) 3)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

78×	`sqrt-prod`
70×	`*-un-lft-identity`
48×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`unpow-prod-down` `cube-prod`
14×	`distribute-lft-out`
8×	`add-exp-log` `associate-/r*` `associate-/r/` `add-cbrt-cube`
6×	`pow1` `associate-/l*`
5×	`pow-pow`
4×	`sqrt-pow1` `flip3-+` `flip-+` `div-inv`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `pow1/2` `sqrt-div` `div-exp` `clear-num`
1×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `pow-exp` `sqrt-pow2` `rem-cube-cbrt` `sqr-pow`

Counts

3 → 143

Calls

3 calls:

10.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
11.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
17.0ms	(pow (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) 3)

series435.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
37.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
355.0ms	(pow (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) 3)

simplify55.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	572	1698
1	1775	1621
2	5002	1607

prune406.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

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