Details

sample91.0ms

Algorithm

intervals

Results

38.0ms	99×	body	1280	valid
18.0ms	35×	body	640	valid
11.0ms	180×	body	80	valid
6.0ms	29×	body	320	valid
1.0ms	11×	body	160	valid

simplify70.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

70.0ms

(- (exp (* a x)) 1)

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize16.0ms

Local error

Found 1 expressions with local error:

2.5b	(- (exp (* a x)) 1)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity`
3×	`add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `difference-of-sqr-1` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--`

Counts

1 → 17

Calls

1 calls:

Slowest

24.0ms

(- (exp (* a x)) 1)

series43.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

43.0ms

(- (exp (* a x)) 1)

simplify1.2s

Counts

10 → 20

Calls

10 calls:

Slowest

218.0ms	(/ (exp (exp (* a x))) (exp 1))
154.0ms	(- (sqrt (exp (* a x))) (sqrt 1))
146.0ms	(+ (sqrt (exp (* a x))) (sqrt 1))
134.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
123.0ms	(- (sqrt (exp (* a x))) 1)

prune181.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

12.1b	(+ (+ (* a x) (* x (* (* a 1/6) (* (* a x) (* a x))))) (* (* 1/2 (* a x)) (* a x)))
3.5b	(* x (* (* a 1/6) (* (* a x) (* a x))))
0.3b	(* a 1/6)
0.3b	(* (* a 1/6) (* (* a x) (* a x)))

rewrite371.0ms

Algorithm

rewrite-expression-head

Rules

100×	`pow1` `add-cbrt-cube` `add-exp-log`
74×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `add-log-exp`
7×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`associate-r`
4×	`insert-posit16`
3×	`sum-log` `*-commutative`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

Slowest

236.0ms	(* x (* (* a 1/6) (* (* a x) (* a x))))
77.0ms	(* (* a 1/6) (* (* a x) (* a x)))
49.0ms	(+ (+ (* a x) (* x (* (* a 1/6) (* (* a x) (* a x))))) (* (* 1/2 (* a x)) (* a x)))
6.0ms	(* a 1/6)

series285.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

128.0ms	(+ (+ (* a x) (* x (* (* a 1/6) (* (* a x) (* a x))))) (* (* 1/2 (* a x)) (* a x)))
89.0ms	(* x (* (* a 1/6) (* (* a x) (* a x))))
48.0ms	(* (* a 1/6) (* (* a x) (* a x)))
21.0ms	(* a 1/6)

simplify26.4s

Counts

91 → 132

Calls

91 calls:

Slowest

1.1s	(* (* (* x x) x) (* (* (* (* a a) a) (* (* 1/6 1/6) 1/6)) (* (* (* (* a x) (* a x)) (* a x)) (* (* (* a a) a) (* (* x x) x)))))
793.0ms	(* (* (* x x) x) (* (* (* (* a a) a) (* (* 1/6 1/6) 1/6)) (* (* (* (* a x) (* a x)) (* (* a x) (* a x))) (* (* a x) (* a x)))))
676.0ms	(* (* (* x x) x) (* (* (* (* a 1/6) (* a 1/6)) (* a 1/6)) (* (* (* (* a x) (* a x)) (* a x)) (* (* (* a a) a) (* (* x x) x)))))
631.0ms	(* (* (* x x) x) (* (* (* (* a a) a) (* (* 1/6 1/6) 1/6)) (* (* (* (* a a) a) (* (* x x) x)) (* (* (* a x) (* a x)) (* a x)))))
628.0ms	(* (* (* x x) x) (* (* (* (* a 1/6) (* a 1/6)) (* a 1/6)) (* (* (* (* a a) a) (* (* x x) x)) (* (* (* a x) (* a x)) (* a x)))))

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes222.0ms

Accuracy

98.4% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.1b

bsearch8.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	2682×	body	1280	valid
376.0ms	5391×	body	80	valid
349.0ms	1333×	body	640	valid
133.0ms	761×	body	320	valid
88.0ms	426×	body	160	valid