Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	10	8
2	12	8
done	12	8

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

rewrite34.0ms

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:

21.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
12.0ms	(+ (exp x) (exp (- x)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
24.0ms	(+ (exp x) (exp (- x)))

simplify2.1s

Counts

51 → 51

Iterations

Useful iterations: 3 (191.0ms)

Iter	Nodes	Cost
0	90	649
1	190	620
2	435	568
3	859	566
4	3443	566
done	5000	566

prune103.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

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:

20.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
12.0ms	(+ (exp x) (exp (- x)))
26.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))
24.0ms	(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)

series186.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
23.0ms	(+ (exp x) (exp (- x)))
44.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))
79.0ms	(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)

simplify931.0ms

Counts

165 → 165

Iterations

Useful iterations: done (920.0ms)

Iter	Nodes	Cost
0	184	2982
1	468	2487
2	1393	2241
done	5001	2204

prune283.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/12 (pow x 4)) 2)
0.0b	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
0.1b	(* 1/12 (pow x 4))
0.3b	(/ 2.0 (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`add-exp-log` `add-log-exp`
8×	`add-cbrt-cube`
7×	`associate-r`
5×	`distribute-lft-out`
4×	`pow1` `unpow-prod-down` `associate-/r*` `sum-log`
3×	`flip3-+` `associate-l` `prod-exp` `flip-+` `associate-/l*` `unswap-sqr`
2×	`+-commutative` `associate-/r/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `associate-+r+` `frac-2neg` `div-exp` `pow-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 83

Calls

4 calls:

10.0ms	(+ (* 1/12 (pow x 4)) 2)
24.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
11.0ms	(* 1/12 (pow x 4))
42.0ms	(/ 2.0 (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (* 1/12 (pow x 4)) 2)
37.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
39.0ms	(* 1/12 (pow x 4))
66.0ms	(/ 2.0 (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))

simplify1.4s

Counts

95 → 95

Iterations

Useful iterations: 3 (642.0ms)

Iter	Nodes	Cost
0	157	1427
1	361	1321
2	984	1227
3	3042	1217
done	5001	1217

prune184.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	11	11
done	11	11

end0.0ms

sample287.0ms

Algorithm

intervals

Results

171.0ms

8000×

body

valid