Details

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify212.0ms

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))))

rewrite20.0ms

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:

8.0ms	(+ (exp x) (exp (- x)))
11.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series63.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp x) (exp (- x)))
40.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify119.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (114.0ms)

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

prune112.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`log-prod`
23×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`times-frac`
20×	`exp-sum`
7×	`associate-/r*` `distribute-lft-out`
6×	`pow1` `add-exp-log` `log-div` `add-cbrt-cube` `add-log-exp`
4×	`exp-prod` `flip3-+` `exp-diff` `flip-+`
3×	`associate-/l*`
2×	`associate-/r/` `log-pow`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log` `div-inv` `rem-exp-log`

Counts

4 → 90

Calls

4 calls:

4.0ms	(+ (exp (* -1 x)) (exp x))
5.0ms	(exp (log (+ (exp (* -1 x)) (exp x))))
10.0ms	(/ 2.0 (exp (log (+ (exp (* -1 x)) (exp x)))))
4.0ms	(log (+ (exp (* -1 x)) (exp x)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp (* -1 x)) (exp x))
25.0ms	(exp (log (+ (exp (* -1 x)) (exp x))))
38.0ms	(/ 2.0 (exp (log (+ (exp (* -1 x)) (exp x)))))
78.0ms	(log (+ (exp (* -1 x)) (exp x)))

simplify79.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	267	954
1	761	843
2	2395	788
3	5002	774

prune217.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

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	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)
0.2b	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))

rewrite42.0ms

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:

4.0ms	(+ (exp (* -1 x)) (exp x))
8.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
11.0ms	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)
14.0ms	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))

series181.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp (* -1 x)) (exp x))
40.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
80.0ms	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)
38.0ms	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))

simplify61.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (45.0ms)

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-pow`
18×	`exp-prod`
8×	`distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`log-prod` `flip3-+` `flip-+` `associate-/l*`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log`

Counts

3 → 75

Calls

3 calls:

4.0ms	(+ (exp (* -1 x)) (exp x))
8.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
18.0ms	(log (exp (/ 2.0 (+ (exp (* -1 x)) (exp x)))))

series103.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (exp (* -1 x)) (exp x))
37.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
41.0ms	(log (exp (/ 2.0 (+ (exp (* -1 x)) (exp x)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	236	645
1	606	593
2	2032	585
3	5002	585

prune188.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

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	13	7
1	13	7

end0.0ms

sample260.0ms

Algorithm

intervals

Results

176.0ms

8000×

body

valid