Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify211.0ms

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
done	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))))

rewrite37.0ms

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:

12.0ms	(+ (exp x) (exp (- x)))
24.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series67.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp x) (exp (- x)))
39.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify117.0ms

Counts

51 → 51

Iterations

Useful iterations: 3 (113.0ms)

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

prune106.0ms

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 (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)))
0.0b	(pow (+ (exp (* -1 x)) (exp x)) 3)
0.2b	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-prod` `*-un-lft-identity`
51×	`times-frac`
44×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`unpow-prod-down` `cube-prod`
17×	`associate-/r*`
13×	`distribute-lft-out`
7×	`add-exp-log`
6×	`cube-div` `cube-mult` `unpow3` `add-cbrt-cube` `add-log-exp` `sqr-pow`
5×	`pow1`
4×	`cbrt-div` `flip3-+` `flip-+`
3×	`pow-unpow` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 149

Calls

4 calls:

11.0ms	(+ (exp (* -1 x)) (exp x))
35.0ms	(/ 2.0 (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)))
20.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)
15.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))

series133.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp (* -1 x)) (exp x))
43.0ms	(/ 2.0 (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)))
46.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)
22.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))

simplify49.0ms

Counts

161 → 161

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	360	1567
1	1426	1466
2	5001	1434
done	5001	1434

prune256.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
0.5b	(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac`
304×	`*-un-lft-identity`
224×	`sqrt-prod`
188×	`add-sqr-sqrt` `add-cube-cbrt`
58×	`distribute-lft-out`
30×	`associate-/l*`
20×	`sqrt-div` `associate-/r/`
14×	`associate-/r*`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
8×	`add-log-exp`
4×	`pow1` `cbrt-undiv` `div-exp`
2×	`+-commutative` `frac-2neg` `clear-num` `sum-log`
1×	`associate-/l/`

Counts

4 → 309

Calls

4 calls:

11.0ms	(+ (exp x) (exp (- x)))
11.0ms	(+ (exp x) (exp (- x)))
60.0ms	(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
26.0ms	(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

series182.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (exp x) (exp (- x)))
23.0ms	(+ (exp x) (exp (- x)))
40.0ms	(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
91.0ms	(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

simplify81.0ms

Counts

321 → 321

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	739	6227
1	2693	5571
2	5001	5417
done	5001	5417

prune460.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	5
1	8	5
done	8	5

end0.0ms

sample290.0ms

Algorithm

intervals

Results

174.0ms

8000×

body

valid