Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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-cbrt-cube` `add-exp-log` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

29.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify2.1s

Counts

36 → 36

Iterations

Useful iterations: 3 (659.0ms)

Iter	Nodes	Cost
0	78	492
1	171	472
2	617	438
3	3769	437
done	5000	437

prune119.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2.0 (+ (exp x) (exp (- x))))
0.2b	(log (exp (/ 2.0 (+ (exp x) (exp (- x))))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

17.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
52.0ms	(log (exp (/ 2.0 (+ (exp x) (exp (- x))))))

series117.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
46.0ms	(log (exp (/ 2.0 (+ (exp x) (exp (- x))))))

simplify2.0s

Counts

69 → 69

Iterations

Useful iterations: 3 (682.0ms)

Iter	Nodes	Cost
0	123	918
1	226	822
2	694	763
3	4020	759
done	5000	759

prune310.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.20833333333333334 (pow x 4))
12.8b	(- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`associate-r` `add-exp-log` `add-log-exp`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`associate-l` `prod-exp` `unswap-sqr`
2×	`pow1` `diff-log` `sqr-pow`
1×	`pow-to-exp` `sum-log` `sub-neg` `flip3--` `pow-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip--`

Counts

2 → 39

Calls

2 calls:

17.0ms	(* 0.20833333333333334 (pow x 4))
56.0ms	(- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))

series106.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* 0.20833333333333334 (pow x 4))
56.0ms	(- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))

simplify570.0ms

Counts

45 → 45

Iterations

Useful iterations: done (568.0ms)

Iter	Nodes	Cost
0	82	548
1	198	512
2	843	474
done	5000	465

prune156.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample684.0ms

Algorithm

intervals

Results

498.0ms

8000×

body

valid