Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify8.0ms

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

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

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-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

36.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify2.5s

Counts

38 → 38

Iterations

Useful iterations: 3 (648.0ms)

Iter	Nodes	Cost
0	80	510
1	175	489
2	627	457
3	3824	454
done	5000	454

prune85.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

134×	`*-un-lft-identity`
116×	`sqrt-prod`
103×	`times-frac`
101×	`add-sqr-sqrt`
70×	`add-cube-cbrt`
29×	`swap-sqr` `distribute-lft-out`
21×	`associate-r` `associate-l`
20×	`pow1`
14×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
9×	`sqrt-pow1` `pow1/2` `unswap-sqr`
8×	`associate-/r*`
7×	`flip3-+` `flip-+` `div-inv`
6×	`associate-/l*`
5×	`sqrt-div` `pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `div-exp` `clear-num`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 212

Calls

4 calls:

26.0ms	(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
156.0ms	(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
23.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
27.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series326.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
113.0ms	(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
42.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
49.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify1.4s

Counts

224 → 224

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	234	4573
1	487	3359
2	2260	3138
done	5002	3081

prune794.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
46×	`sqrt-prod`
39×	`times-frac`
31×	`add-cube-cbrt`
21×	`associate-l`
10×	`distribute-lft-out`
8×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-/r/` `unswap-sqr`
4×	`associate-/r*`
3×	`expm1-log1p-u` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-div`
1×	`cbrt-undiv` `frac-2neg` `sqrt-unprod` `div-exp` `associate-l/` `prod-exp` `clear-num` `-commutative` `cbrt-unprod`

Counts

3 → 117

Calls

3 calls:

39.0ms	(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
99.0ms	(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt 2.0))
44.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series328.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
144.0ms	(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt 2.0))
61.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify1.1s

Counts

126 → 126

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	196	1958
1	430	1829
2	1859	1734
done	5000	1728

prune482.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	14	20
done	14	20

end0.0ms

sample549.0ms

Algorithm

intervals

Results

380.0ms

8000×

body

valid