Details

sample27.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ 2 (+ (exp x) (exp (- x))))

rewrite28.0ms

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-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 47

Calls

2 calls:

10.0ms	(+ (exp x) (exp (- x)))
18.0ms	(/ 2 (+ (exp x) (exp (- x))))

series77.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (exp x) (exp (- x)))
52.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify847.0ms

Counts

53 → 53

Iterations

Iter	Nodes
done	2107
3	1725
2	544
1	205
0	90

prune195.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (* (* (/ 2 (+ (exp (- x)) (exp x))) (/ 2 (+ (exp (- x)) (exp x)))) (/ 2 (+ (exp (- x)) (exp x)))))
0.0b	(/ 2 (+ (exp (- x)) (exp x)))
0.0b	(/ 2 (+ (exp (- x)) (exp x)))
0.0b	(/ 2 (+ (exp (- x)) (exp x)))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
36×	`times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`associate-/r*` `distribute-lft-out`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
7×	`cbrt-div`
6×	`associate-/r/`
5×	`frac-times` `associate-*l/`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `associate-*r/` `flip-+` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 120

Calls

4 calls:

130.0ms	(cbrt (* (* (/ 2 (+ (exp (- x)) (exp x))) (/ 2 (+ (exp (- x)) (exp x)))) (/ 2 (+ (exp (- x)) (exp x)))))
27.0ms	(/ 2 (+ (exp (- x)) (exp x)))
31.0ms	(/ 2 (+ (exp (- x)) (exp x)))
27.0ms	(/ 2 (+ (exp (- x)) (exp x)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(cbrt (* (* (/ 2 (+ (exp (- x)) (exp x))) (/ 2 (+ (exp (- x)) (exp x)))) (/ 2 (+ (exp (- x)) (exp x)))))
49.0ms	(/ 2 (+ (exp (- x)) (exp x)))
37.0ms	(/ 2 (+ (exp (- x)) (exp x)))
40.0ms	(/ 2 (+ (exp (- x)) (exp x)))

simplify597.0ms

Counts

132 → 132

Iterations

Iter	Nodes
done	2001
2	828
1	258
0	116

prune441.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* x x) (- (* 0.20833333333333334 (* x x)) 0.5))
0.2b	(* 0.20833333333333334 (* x x))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

2 → 46

Calls

2 calls:

71.0ms	(* (* x x) (- (* 0.20833333333333334 (* x x)) 0.5))
14.0ms	(* 0.20833333333333334 (* x x))

series159.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(* (* x x) (- (* 0.20833333333333334 (* x x)) 0.5))
38.0ms	(* 0.20833333333333334 (* x x))

simplify544.0ms

Counts

52 → 52

Iterations

Iter	Nodes
done	2000
2	808
1	230
0	80

prune134.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample678.0ms

Algorithm

intervals

Results

572.0ms

8000×

body

valid