Details

sample154.0ms

Algorithm

intervals

Results

102.0ms	180×	body	1280	valid
17.0ms	292×	body	80	valid
14.0ms	45×	body	640	valid
5.0ms	22×	body	320	valid
1.0ms	7×	body	160	valid

simplify89.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

89.0ms

(+ (- (exp x) 2) (exp (- x)))

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.9b

localize16.0ms

Local error

Found 2 expressions with local error:

4.0b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`neg-sub0` `exp-neg` `pow1` `associate-+l+` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

Slowest

73.0ms	(+ (- (exp x) 2) (exp (- x)))
16.0ms	(- (exp x) 2)

series98.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

83.0ms	(+ (- (exp x) 2) (exp (- x)))
15.0ms	(- (exp x) 2)

simplify5.1s

Counts

51 → 43

Calls

51 calls:

Slowest

528.0ms	(- (* (- (exp x) 2) (- (exp x) 2)) (* (exp (- x)) (exp (- x))))
480.0ms	(+ (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) (exp 0)))
477.0ms	(+ (* (- (exp x) 2) (- (exp x) 2)) (- (* (exp (- x)) (exp (- x))) (* (- (exp x) 2) (exp (- x)))))
338.0ms	(* (* (- (exp x) 2) (- (exp x) 2)) (- (exp x) 2))
279.0ms	(+ (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) 1))

prune312.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))
0.1b	(* 1/12 (* (* x x) (* x x)))
0.1b	(* (* (* x x) (* (* x x) (* x x))) 1/360)

rewrite502.0ms

Algorithm

rewrite-expression-head

Rules

297×	`pow1`
101×	`pow-prod-down`
99×	`add-cbrt-cube` `add-exp-log`
72×	`pow-prod-up`
71×	`prod-exp` `cbrt-unprod`
44×	`pow-sqr`
36×	`pow-plus`
26×	`pow2`
7×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`swap-sqr`

Counts

4 → 203

Calls

4 calls:

Slowest

322.0ms	(* (* (* x x) (* (* x x) (* x x))) 1/360)
87.0ms	(* 1/12 (* (* x x) (* x x)))
42.0ms	(* (* x x) (* x x))
42.0ms	(* (* x x) (* x x))

series249.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

86.0ms	(* (* (* x x) (* (* x x) (* x x))) 1/360)
71.0ms	(* 1/12 (* (* x x) (* x x)))
48.0ms	(* (* x x) (* x x))
44.0ms	(* (* x x) (* x x))

simplify29.2s

Counts

214 → 215

Calls

214 calls:

Slowest

1.2s	(* (* (* 1/12 (* (* x x) (* x x))) (* 1/12 (* (* x x) (* x x)))) (* 1/12 (* (* x x) (* x x))))
769.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))))
699.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))))
669.0ms	(* (* (* x x) (* (* x x) (* x x))) 1/360)
658.0ms	(* (* (* x x) (* (* x x) (* x x))) 1/360)

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch3.0ms

end0.0ms

sample5.9s

Algorithm

intervals

Results

4.2s	5669×	body	1280	valid
880.0ms	7746×	body	80	valid
408.0ms	1203×	body	640	valid
134.0ms	623×	body	320	valid
44.0ms	322×	body	160	valid