Details

sample421.0ms

Algorithm

intervals

Results

171.0ms	211×	body	10240	exit
77.0ms	228×	body	80	valid
53.0ms	32×	body	160	valid
47.0ms	416×	body	80	nan

simplify704.0ms

Calls

1 calls:

Slowest

703.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `fma-def`
2×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `hypot-def` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Calls

2 calls:

Slowest

18.0ms	(+ (exp x) 1)
14.0ms	(sqrt (+ (exp x) 1))

series210.0ms

Calls

2 calls:

Slowest

149.0ms	(sqrt (+ (exp x) 1))
61.0ms	(+ (exp x) 1)

simplify876.0ms

Calls

20 calls:

Slowest

301.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
187.0ms	(sqrt (+ (pow (exp x) 3) (pow 1 3)))
104.0ms	(sqrt (- (* (exp x) (exp x)) (* 1 1)))
50.0ms	(sqrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))
49.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))

prune404.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

5.6b	(- (* 1 1) (* (exp x) 1))
0.1b	(pow (exp x) 3)
0.1b	(* (exp x) (exp x))
0.1b	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

545×	`add-sqr-sqrt`
534×	`*-un-lft-identity`
468×	`prod-diff`
268×	`add-cube-cbrt`
236×	`associate-+r+`
235×	`associate-l`
214×	`associate-r`
212×	`unswap-sqr`
95×	`*-commutative`
93×	`swap-sqr`
38×	`distribute-lft-out`
36×	`distribute-lft-out--`
27×	`difference-of-squares`
21×	`exp-prod`
20×	`distribute-rgt-out--`
18×	`fma-neg`
15×	`fma-def`
12×	`pow1`
11×	`add-log-exp`
9×	`add-exp-log`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `pow-pow` `pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow` `unpow-prod-down` `cube-prod`
2×	`sum-log` `sub-neg` `diff-log` `pow-exp`
1×	`pow2` `cube-mult` `pow-to-exp` `+-commutative` `associate-+r-` `flip3-+` `pow-plus` `flip3--` `unpow3` `cbrt-unprod` `flip-+` `flip--` `rem-cube-cbrt` `sqr-pow`

Calls

4 calls:

Slowest

152.0ms	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
68.0ms	(- (* 1 1) (* (exp x) 1))
28.0ms	(* (exp x) (exp x))
7.0ms	(pow (exp x) 3)

series138.0ms

Calls

4 calls:

Slowest

44.0ms	(pow (exp x) 3)
37.0ms	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
33.0ms	(- (* 1 1) (* (exp x) 1))
23.0ms	(* (exp x) (exp x))

simplify54.1s

Calls

917 calls:

Slowest

483.0ms	(fma (sqrt (* 1 1)) (sqrt (* 1 1)) (- (* (* (sqrt (exp x)) (sqrt 1)) (* (sqrt (exp x)) (sqrt 1)))))
334.0ms	(* (exp (* (exp x) (exp x))) (exp (- (* 1 1) (* (exp x) 1))))
295.0ms	(* (exp (* (exp x) (exp x))) (/ (exp (* 1 1)) (exp (* (exp x) 1))))
257.0ms	(fma (- (cbrt (* (exp x) 1))) (* (cbrt (* (exp x) 1)) (cbrt (* (exp x) 1))) (* (cbrt (* (exp x) 1)) (* (cbrt (* (exp x) 1)) (cbrt (* (exp x) 1)))))
239.0ms	(fma 1 (* 1 1) (- (* (cbrt (* (exp x) 1)) (* (cbrt (* (exp x) 1)) (cbrt (* (exp x) 1))))))

prune8.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.3s

Algorithm

intervals

Results

5.9s	6532×	body	10240	exit
1.9s	12088×	body	80	nan
966.0ms	7354×	body	80	valid
171.0ms	754×	body	160	valid