Details

sample410.0ms

Algorithm

intervals

Results

198.0ms	204×	body	10240	exit
46.0ms	414×	body	80	nan
31.0ms	239×	body	80	valid
6.0ms	23×	body	160	valid

simplify387.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

386.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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

8.0ms	(+ (exp x) 1)
7.0ms	(sqrt (+ (exp x) 1))

series48.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

32.0ms	(sqrt (+ (exp x) 1))
16.0ms	(+ (exp x) 1)

simplify753.0ms

Counts

16 → 36

Calls

16 calls:

Slowest

426.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
93.0ms	(sqrt (+ (pow (exp x) 3) (pow 1 3)))
63.0ms	(sqrt (- (* (exp x) (exp x)) (* 1 1)))
56.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))
17.0ms	(sqrt (+ (exp x) 1))

prune246.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

4.8b	(- (* 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)))

rewrite83.0ms

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

46.0ms	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
17.0ms	(- (* 1 1) (* (exp x) 1))
16.0ms	(* (exp x) (exp x))
3.0ms	(pow (exp x) 3)

series133.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

50.0ms	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
43.0ms	(pow (exp x) 3)
23.0ms	(* (exp x) (exp x))
17.0ms	(- (* 1 1) (* (exp x) 1))

simplify2.6s

Counts

71 → 104

Calls

71 calls:

Slowest

274.0ms	(* (exp (* (exp x) (exp x))) (exp (- (* 1 1) (* (exp x) 1))))
240.0ms	(* (exp (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))))
217.0ms	(* (exp (* (exp x) (exp x))) (/ (exp (* 1 1)) (exp (* (exp x) 1))))
203.0ms	(- (+ (pow (exp x) 2) 1) (exp x))
195.0ms	(- (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))))

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(log (+ (exp x) 1))
0.1b	(exp (log (+ (exp x) 1)))
0.0b	(+ (exp x) 1)
0.0b	(sqrt (exp (log (+ (exp x) 1))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
13×	`log-prod`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
9×	`exp-sum`
8×	`pow1` `exp-prod`
7×	`sqrt-prod`
6×	`log-div` `add-log-exp`
5×	`sqrt-pow1` `add-exp-log`
4×	`flip3-+` `add-cbrt-cube` `exp-diff` `flip-+` `insert-posit16` `distribute-lft-out`
3×	`log-pow`
2×	`rem-sqrt-square` `sqrt-div`
1×	`+-commutative` `sum-log` `pow1/2` `rem-log-exp` `rem-exp-log`

Counts

4 → 73

Calls

4 calls:

Slowest

22.0ms	(sqrt (exp (log (+ (exp x) 1))))
14.0ms	(+ (exp x) 1)
13.0ms	(exp (log (+ (exp x) 1)))
10.0ms	(log (+ (exp x) 1))

series162.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

94.0ms	(log (+ (exp x) 1))
39.0ms	(sqrt (exp (log (+ (exp x) 1))))
15.0ms	(+ (exp x) 1)
15.0ms	(exp (log (+ (exp x) 1)))

simplify2.3s

Counts

48 → 85

Calls

48 calls:

Slowest

550.0ms	(exp (log (+ (pow (exp x) 3) (pow 1 3))))
333.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
197.0ms	(sqrt (exp (log (+ (pow (exp x) 3) (pow 1 3)))))
141.0ms	(exp (* (cbrt (log (+ (exp x) 1))) (cbrt (log (+ (exp x) 1)))))
129.0ms	(exp (* (cbrt (log (+ (exp x) 1))) (cbrt (log (+ (exp x) 1)))))

prune829.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample9.6s

Algorithm

intervals

Results

6.1s	6555×	body	10240	exit
1.9s	12821×	body	80	nan
853.0ms	7424×	body	80	valid
281.0ms	700×	body	160	valid