Details

sample99.0ms

Algorithm

intervals

Results

66.0ms	180×	body	1280	valid
10.0ms	292×	body	80	valid
9.0ms	45×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	7×	body	160	valid

simplify67.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

67.0ms

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.9b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite364.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`neg-sub0` `exp-neg` `expm1-log1p-u` `pow1` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+`

Counts

2 → 67

Calls

2 calls:

Slowest

353.0ms	(+ (- (exp x) 2) (exp (- x)))
10.0ms	(- (exp x) 2)

series103.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

83.0ms	(+ (- (exp x) 2) (exp (- x)))
20.0ms	(- (exp x) 2)

simplify6.7s

Counts

85 → 73

Calls

85 calls:

Slowest

638.0ms	(- (* (- (exp x) 2) (- (exp x) 2)) (* (exp (- x)) (exp (- x))))
476.0ms	(+ (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) (exp 0)))
306.0ms	(+ (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) 1))
264.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
202.0ms	(+ (pow (- (exp x) 2) 3) (pow (exp (- x)) 3))

prune676.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

243×	`pow1`
72×	`pow-prod-up`
59×	`pow-prod-down`
45×	`add-cbrt-cube` `add-exp-log`
44×	`pow-sqr`
36×	`pow-plus`
29×	`prod-exp` `cbrt-unprod`
26×	`pow2`
5×	`add-sqr-sqrt` `associate-l`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-r` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`swap-sqr`

Counts

3 → 163

Calls

3 calls:

Slowest

71.0ms	(* 1/360 (* (* x x) (* x x)))
46.0ms	(* (* x x) (* x x))
32.0ms	(* (* x x) (* x x))

series137.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

46.0ms	(* 1/360 (* (* x x) (* x x)))
46.0ms	(* (* x x) (* x x))
45.0ms	(* (* x x) (* x x))

simplify12.5s

Counts

172 → 172

Calls

172 calls:

Slowest

852.0ms	(* (* (* 1/360 (* (* x x) (* x x))) (* 1/360 (* (* x x) (* x x)))) (* 1/360 (* (* x x) (* x x))))
731.0ms	(* (* (* 1/360 1/360) 1/360) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))))
701.0ms	(* (* (* 1/360 1/360) 1/360) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))))
535.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x)))
523.0ms	(* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x)))

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.5b remaining)

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

bsearch2.0ms

end0.0ms

sample5.5s

Algorithm

intervals

Results

4.0s	5669×	body	1280	valid
577.0ms	7746×	body	80	valid
438.0ms	1203×	body	640	valid
140.0ms	623×	body	320	valid
43.0ms	322×	body	160	valid