Details

sample526.0ms

Algorithm

intervals

Results

245.0ms	201×	body	10240	exit
51.0ms	375×	body	80	nan
35.0ms	234×	body	80	valid
7.0ms	25×	body	160	valid

simplify338.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

338.0ms

(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ (exp x) 1))
0.0b	(+ (exp x) 1)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `add-cube-cbrt`
2×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 30

Calls

2 calls:

Slowest

10.0ms	(sqrt (+ (exp x) 1))
7.0ms	(+ (exp x) 1)

series55.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

46.0ms	(sqrt (+ (exp x) 1))
9.0ms	(+ (exp x) 1)

simplify1.2s

Counts

16 → 36

Calls

16 calls:

Slowest

537.0ms	(sqrt (- (* (exp x) (exp x)) (* 1 1)))
434.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
72.0ms	(sqrt (+ (pow (exp x) 3) (pow 1 3)))
51.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))
20.0ms	(* (exp (exp x)) (exp 1))

prune268.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

5.1b	(- (* 1 1) (* (exp x) 1))
0.1b	(pow (exp x) 3)
0.1b	(* (exp x) (exp x))
0.0b	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

21×	`exp-prod`
20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
11×	`add-log-exp`
7×	`add-cbrt-cube`
4×	`pow-pow` `pow-prod-down` `add-exp-log` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`pow-unpow` `unpow-prod-down` `cube-prod` `swap-sqr` `associate-r` `associate-l`
2×	`associate-+r+` `sum-log` `sub-neg` `diff-log`
1×	`pow2` `cube-mult` `pow-to-exp` `+-commutative` `associate-+r-` `flip3-+` `pow-plus` `flip3--` `distribute-rgt-out--` `unpow3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

Slowest

36.0ms	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
18.0ms	(* (exp x) (exp x))
11.0ms	(- (* 1 1) (* (exp x) 1))
3.0ms	(pow (exp x) 3)

series110.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

44.0ms	(pow (exp x) 3)
35.0ms	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
17.0ms	(- (* 1 1) (* (exp x) 1))
14.0ms	(* (exp x) (exp x))

simplify2.6s

Counts

71 → 104

Calls

71 calls:

Slowest

266.0ms	(- (+ (pow (exp x) 2) 1) (exp x))
244.0ms	(- (+ (pow (exp x) 2) 1) (exp x))
218.0ms	(* (exp (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))))
203.0ms	(* (* (* (exp x) (exp x)) (exp x)) (* (* (exp x) (exp x)) (exp x)))
181.0ms	(* (exp (* (exp x) (exp x))) (/ (exp (* 1 1)) (exp (* (exp x) 1))))

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

5.1b	(- (* 1 1) (* (exp x) 1))
0.1b	(pow (exp x) 3)
0.1b	(pow (exp x) 3)
0.1b	(pow (exp x) 3)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`pow-pow`
9×	`pow-unpow` `exp-prod` `unpow-prod-down` `cube-prod`
7×	`pow1` `add-cbrt-cube`
6×	`add-log-exp`
4×	`add-exp-log` `insert-posit16`
3×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--`

Counts

4 → 95

Calls

4 calls:

Slowest

19.0ms	(- (* 1 1) (* (exp x) 1))
6.0ms	(pow (exp x) 3)
6.0ms	(pow (exp x) 3)
6.0ms	(pow (exp x) 3)

series119.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

37.0ms	(pow (exp x) 3)
35.0ms	(pow (exp x) 3)
23.0ms	(pow (exp x) 3)
23.0ms	(- (* 1 1) (* (exp x) 1))

simplify1.9s

Counts

56 → 107

Calls

56 calls:

Slowest

194.0ms	(/ (exp (* 1 1)) (exp (* (exp x) 1)))
184.0ms	(pow (* (cbrt (exp x)) (cbrt (exp x))) 3)
176.0ms	(pow (* (cbrt (exp x)) (cbrt (exp x))) 3)
162.0ms	(- (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))))
162.0ms	(pow (* (cbrt (exp x)) (cbrt (exp x))) 3)

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch7.0ms

end0.0ms

sample9.2s

Algorithm

intervals

Results

5.7s	6492×	body	10240	exit
1.5s	12265×	body	80	nan
1.3s	7411×	body	80	valid
189.0ms	722×	body	160	valid