Details

sample402.0ms

Algorithm

intervals

Results

248.0ms	220×	body	10240	exit
47.0ms	410×	body	80	nan
29.0ms	240×	body	80	valid
4.0ms	17×	body	160	valid

simplify353.0ms

Calls

1 calls:

Slowest

352.0ms

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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

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`

Calls

2 calls:

Slowest

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

series77.0ms

Calls

2 calls:

Slowest

58.0ms	(sqrt (+ (exp x) 1))
19.0ms	(+ (exp x) 1)

simplify735.0ms

Calls

16 calls:

Slowest

378.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
90.0ms	(sqrt (+ (pow (exp x) 3) (pow 1 3)))
55.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))
55.0ms	(sqrt (- (* (exp x) (exp x)) (* 1 1)))
20.0ms	(sqrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))

prune279.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

4.2b	(- (* 1 1) (* (exp x) 1))
0.1b	(exp (+ x (+ x x)))
0.1b	(* (exp x) (exp x))
0.0b	(/ (sqrt (+ (exp (+ x (+ x x))) 1)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))

rewrite393.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
52×	`sqrt-prod`
48×	`add-cube-cbrt`
42×	`times-frac`
30×	`exp-prod`
15×	`distribute-lft-out`
12×	`add-log-exp`
11×	`pow1`
8×	`add-cbrt-cube`
7×	`associate-/l*`
6×	`associate-/r*` `add-exp-log`
4×	`sqrt-div` `pow-prod-down` `distribute-rgt1-in` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`sum-log` `distribute-rgt-out` `swap-sqr` `associate-r` `associate-l` `rem-exp-log`
2×	`distribute-lft1-in` `flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`pow2` `cbrt-undiv` `sqrt-undiv` `clear-num` `sub-neg` `frac-2neg` `pow-plus` `flip3--` `distribute-rgt-out--` `diff-log` `div-exp` `exp-sum` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr`

Calls

4 calls:

Slowest

305.0ms	(/ (sqrt (+ (exp (+ x (+ x x))) 1)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))
49.0ms	(exp (+ x (+ x x)))
21.0ms	(- (* 1 1) (* (exp x) 1))
14.0ms	(* (exp x) (exp x))

series189.0ms

Calls

4 calls:

Slowest

118.0ms	(/ (sqrt (+ (exp (+ x (+ x x))) 1)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))
32.0ms	(- (* 1 1) (* (exp x) 1))
24.0ms	(* (exp x) (exp x))
15.0ms	(exp (+ x (+ x x)))

simplify19.0s

Calls

171 calls:

Slowest

524.0ms	(/ (sqrt (* (cbrt (+ (exp (+ x (+ x x))) 1)) (cbrt (+ (exp (+ x (+ x x))) 1)))) (sqrt 1))
452.0ms	(sqrt (/ (+ (exp (* 3 x)) 1) (- (+ (pow (exp x) 2) 1) (exp x))))
384.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
356.0ms	(sqrt (/ (+ (exp (* 3 x)) 1) (- (+ (pow (exp x) 2) 1) (exp x))))
328.0ms	(sqrt (+ (pow (exp (+ x (+ x x))) 3) (pow 1 3)))

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
20×	`times-frac`
19×	`exp-prod`
11×	`pow1` `add-log-exp`
8×	`add-cbrt-cube`
6×	`add-exp-log` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
5×	`associate-/r*`
4×	`pow-prod-down` `pow-sqr` `pow-prod-up` `insert-posit16` `associate-/l*`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`flip3--` `diff-log` `associate-/r/` `flip--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `pow-plus` `exp-to-pow` `div-exp` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr` `rem-exp-log`

Calls

4 calls:

Slowest

164.0ms	(/ (+ (exp (* 3 x)) 1) (- (+ (* (exp x) (exp x)) 1) (exp x)))
105.0ms	(- (+ (* (exp x) (exp x)) 1) (exp x))
18.0ms	(* (exp x) (exp x))
7.0ms	(exp (* 3 x))

series138.0ms

Calls

4 calls:

Slowest

76.0ms	(/ (+ (exp (* 3 x)) 1) (- (+ (* (exp x) (exp x)) 1) (exp x)))
35.0ms	(- (+ (* (exp x) (exp x)) 1) (exp x))
14.0ms	(* (exp x) (exp x))
13.0ms	(exp (* 3 x))

simplify9.6s

Calls

112 calls:

Slowest

436.0ms	(/ (+ (exp (* 3 x)) 1) (- (+ (pow (exp x) 2) 1) (exp x)))
391.0ms	(/ (+ (exp (* 3 x)) 1) (- (+ (pow (exp x) 2) 1) (exp x)))
371.0ms	(+ (* (+ (* (exp x) (exp x)) 1) (+ (* (exp x) (exp x)) 1)) (+ (* (exp x) (exp x)) (* (+ (* (exp x) (exp x)) 1) (exp x))))
351.0ms	(/ (* (exp (* (exp x) (exp x))) (exp 1)) (exp (exp x)))
246.0ms	(- (log (+ (exp (* 3 x)) 1)) (log (- (+ (* (exp x) (exp x)) 1) (exp x))))

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch2.0ms

end0.0ms

sample9.7s

Algorithm

intervals

Results

6.7s	6796×	body	10240	exit
1.6s	12663×	body	80	nan
994.0ms	7423×	body	80	valid
166.0ms	708×	body	160	valid