Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

17.0ms	(+ (exp x) (exp (- x)))
27.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series92.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (exp x) (exp (- x)))
55.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify1.9s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
3	4246
2	715
1	201
0	90

prune232.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

137×	`*-un-lft-identity`
102×	`times-frac`
96×	`cbrt-prod`
95×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
30×	`distribute-lft-out`
27×	`swap-sqr`
21×	`associate-r` `associate-l`
14×	`associate-/r/`
12×	`associate-/r*` `add-exp-log`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`associate-/l*` `unswap-sqr`
7×	`flip3-+` `flip-+` `div-inv`
6×	`pow1/3`
4×	`cbrt-div` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 198

Calls

4 calls:

19.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
25.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
32.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
117.0ms	(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))

series513.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
49.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
52.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
360.0ms	(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))

simplify1.7s

Counts

210 → 210

Iterations

Iter	Nodes
done	5000
2	2015
1	427
0	208

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
48×	`times-frac`
40×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/r*` `distribute-lft-out`
12×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
8×	`associate-/r/`
4×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `add-log-exp`

Counts

4 → 132

Calls

4 calls:

22.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
19.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
21.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
19.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series208.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
64.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
48.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
51.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.0s

Counts

144 → 144

Iterations

Iter	Nodes
done	5000
3	3769
2	617
1	171
0	78

prune963.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize109.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
64×	`add-sqr-sqrt` `times-frac`
48×	`add-cube-cbrt`
30×	`associate-r`
20×	`sqrt-prod`
18×	`distribute-lft-out`
15×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*`
9×	`associate-/l*`
8×	`associate-/r/`
6×	`pow1` `associate-l` `unswap-sqr`
4×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`prod-exp` `cbrt-unprod`
1×	`pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 155

Calls

4 calls:

28.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
24.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
23.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
98.0ms	(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

series361.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
78.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
86.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
115.0ms	(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

simplify3.5s

Counts

167 → 167

Iterations

Iter	Nodes
done	5000
2	3119
1	404
0	159

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample694.0ms

Algorithm

intervals

Results

452.0ms

8000×

body

valid