Details

sample437.0ms

Algorithm

intervals

Results

234.0ms	210×	body	10240	exit
57.0ms	241×	body	80	valid
44.0ms	389×	body	80	nan
5.0ms	22×	body	160	valid

simplify411.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

410.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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

15.0ms	(sqrt (+ (exp x) 1))
8.0ms	(+ (exp x) 1)

series51.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

42.0ms	(sqrt (+ (exp x) 1))
9.0ms	(+ (exp x) 1)

simplify598.0ms

Counts

16 → 36

Calls

16 calls:

Slowest

303.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
82.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))
60.0ms	(sqrt (+ (pow (exp x) 3) (pow 1 3)))
49.0ms	(sqrt (- (* (exp x) (exp x)) (* 1 1)))
15.0ms	(sqrt (sqrt (+ (exp x) 1)))

prune401.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

4.7b	(- (* 1 1) (* (exp x) 1))
0.1b	(pow (exp x) 3)
0.0b	(* (exp x) (exp x))
0.0b	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))

rewrite93.0ms

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

49.0ms	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
20.0ms	(* (exp x) (exp x))
18.0ms	(- (* 1 1) (* (exp x) 1))
3.0ms	(pow (exp x) 3)

series120.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

45.0ms	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
31.0ms	(pow (exp x) 3)
23.0ms	(* (exp x) (exp x))
19.0ms	(- (* 1 1) (* (exp x) 1))

simplify2.6s

Counts

71 → 104

Calls

71 calls:

Slowest

255.0ms	(* (exp (* (exp x) (exp x))) (/ (exp (* 1 1)) (exp (* (exp x) 1))))
248.0ms	(* (exp (* (exp x) (exp x))) (exp (- (* 1 1) (* (exp x) 1))))
211.0ms	(* (exp (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))))
211.0ms	(pow (* (cbrt (exp x)) (cbrt (exp x))) 3)
175.0ms	(pow (* (cbrt (exp x)) (cbrt (exp x))) 3)

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

4.7b	(- (* 1 1) (* (exp x) 1))
0.1b	(exp (* x 3))
0.0b	(* (exp x) (exp x))
0.0b	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

19×	`exp-prod`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-log-exp`
11×	`pow1`
6×	`add-cbrt-cube`
4×	`pow-prod-down` `add-exp-log` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`associate-+r+` `sum-log` `sub-neg` `diff-log`
1×	`pow2` `+-commutative` `exp-lft-cube` `associate-+r-` `flip3-+` `pow-plus` `flip3--` `exp-to-pow` `distribute-rgt-out--` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `unswap-sqr` `rem-exp-log`

Counts

4 → 77

Calls

4 calls:

Slowest

65.0ms	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
26.0ms	(* (exp x) (exp x))
20.0ms	(- (* 1 1) (* (exp x) 1))
7.0ms	(exp (* x 3))

series92.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

37.0ms	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
24.0ms	(- (* 1 1) (* (exp x) 1))
19.0ms	(* (exp x) (exp x))
12.0ms	(exp (* x 3))

simplify2.4s

Counts

61 → 89

Calls

61 calls:

Slowest

563.0ms	(- (+ (pow (exp x) 2) 1) (exp x))
233.0ms	(* (exp (* (exp x) (exp x))) (/ (exp (* 1 1)) (exp (* (exp x) 1))))
219.0ms	(* (exp (* (exp x) (exp x))) (exp (- (* 1 1) (* (exp x) 1))))
217.0ms	(- (+ (pow (exp x) 2) 1) (exp x))
182.0ms	(* (exp (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))))

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

end0.0ms

sample9.7s

Algorithm

intervals

Results

6.2s	6851×	body	10240	exit
1.5s	12876×	body	80	nan
1.4s	7419×	body	80	valid
162.0ms	708×	body	160	valid