Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify213.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:

11.0ms	(+ (exp x) (exp (- x)))
23.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series58.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp x) (exp (- x)))
35.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify118.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	191	411
1	633	377
2	3009	375
3	5002	374

prune104.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.0b	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
0.0b	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))
0.0b	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)

rewrite80.0ms

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:

11.0ms	(+ (exp (* -1 x)) (exp x))
18.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
24.0ms	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))
22.0ms	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)

series160.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (exp (* -1 x)) (exp x))
33.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
39.0ms	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))
69.0ms	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)

simplify67.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	461	1622
1	1999	1515
2	5001	1501

prune278.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
0.0b	(* (cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (cbrt (* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))))
0.0b	(cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x))))
0.0b	(* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

129×	`*-un-lft-identity`
102×	`times-frac`
90×	`add-sqr-sqrt`
67×	`add-cube-cbrt`
45×	`cbrt-prod`
39×	`associate-l`
28×	`distribute-lft-out`
24×	`swap-sqr`
22×	`associate-r`
20×	`add-exp-log`
18×	`add-cbrt-cube`
14×	`associate-/r/`
13×	`pow1`
11×	`cbrt-div`
10×	`unswap-sqr`
7×	`flip3-+` `flip-+` `div-inv`
6×	`frac-times` `associate-*r/`
5×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
4×	`associate-l/` `associate-/r` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-/l*`
2×	`*-commutative`
1×	`pow2` `frac-2neg` `pow-plus` `cube-unmult` `clear-num` `pow-sqr` `pow-prod-up`

Counts

4 → 199

Calls

4 calls:

18.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
52.0ms	(* (cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (cbrt (* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))))
10.0ms	(cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x))))
88.0ms	(* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))

series383.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
115.0ms	(* (cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (cbrt (* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))))
174.0ms	(cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x))))
54.0ms	(* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))

simplify86.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	687	3106
1	2954	2838
2	5002	2768

prune532.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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	8	5
1	8	5

end0.0ms

sample276.0ms

Algorithm

intervals

Results

166.0ms

8000×

body

valid