Details

sample151.0ms

Algorithm

intervals

Results

100.0ms	179×	body	1280	valid
13.0ms	263×	body	80	valid
12.0ms	38×	body	640	valid
4.0ms	20×	body	320	valid
1.0ms	11×	body	160	valid

simplify11.3s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
5.2b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `add-cube-cbrt` `sub-neg` `associate-+l+` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

10.0ms	(- (exp x) 2.0)
121.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- (exp x) 2.0)
83.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.2s

Counts: 41 → 41

prune155.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-exp-log` `associate-r`
12×	`*-un-lft-identity`
11×	`add-log-exp`
10×	`add-cube-cbrt`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`pow1` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 75

Calls

4 calls:

10.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
42.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
12.0ms	(* 1/360 (pow x 6))
19.0ms	(* 1/12 (pow x 4))

series413.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
93.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
71.0ms	(* 1/360 (pow x 6))
44.0ms	(* 1/12 (pow x 4))

simplify777.0ms

Counts: 87 → 87

prune302.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (exp x) 2.0) (- (- (exp x) 2.0) (exp (- x))))
0.0b	(pow (- (exp x) 2.0) 3)
0.1b	(pow (exp (- x)) 3)
5.1b	(+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3))

rewrite459.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
19×	`flip3--` `flip--`
16×	`unpow-prod-down` `cube-prod`
15×	`add-cube-cbrt`
12×	`cube-div` `frac-times` `pow-pow` `frac-sub`
10×	`exp-prod` `distribute-lft-out--`
9×	`neg-sub0` `exp-neg` `exp-diff` `distribute-lft-out`
8×	`pow1` `add-cbrt-cube`
7×	`add-exp-log`
6×	`pow-unpow` `associate-r/` `associate-r*` `add-log-exp`
5×	`associate-l`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `frac-add` `associate--l+` `difference-of-squares`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-*l/` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `neg-mul-1` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `sum-cubes` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

216.0ms	(* (- (exp x) 2.0) (- (- (exp x) 2.0) (exp (- x))))
27.0ms	(pow (- (exp x) 2.0) 3)
17.0ms	(pow (exp (- x)) 3)
188.0ms	(+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3))

series389.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (- (exp x) 2.0) (- (- (exp x) 2.0) (exp (- x))))
62.0ms	(pow (- (exp x) 2.0) 3)
33.0ms	(pow (exp (- x)) 3)
223.0ms	(+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3))

simplify2.5s

Counts: 152 → 152

prune621.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.0b	(pow (- (+ (exp (* -1 x)) (exp x)) 2.0) 3)
0.1b	(cbrt (pow (- (+ (exp (* -1 x)) (exp x)) 2.0) 3))
3.8b	(- (+ (exp (* -1 x)) (exp x)) 2.0)

rewrite340.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`cbrt-prod`
12×	`unpow-prod-down` `cube-prod`
11×	`add-log-exp`
10×	`add-cube-cbrt` `distribute-lft-out--`
6×	`distribute-lft-out`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `difference-of-squares`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `diff-log` `unpow3` `sum-log` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `pow-pow` `flip3-+` `pow1/3` `pow-exp` `associate--l+` `rem-cbrt-cube` `flip-+` `rem-cube-cbrt`

Counts

4 → 89

Calls

4 calls:

13.0ms	(+ (exp (* -1 x)) (exp x))
105.0ms	(pow (- (+ (exp (* -1 x)) (exp x)) 2.0) 3)
121.0ms	(cbrt (pow (- (+ (exp (* -1 x)) (exp x)) 2.0) 3))
94.0ms	(- (+ (exp (* -1 x)) (exp x)) 2.0)

series368.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (exp (* -1 x)) (exp x))
126.0ms	(pow (- (+ (exp (* -1 x)) (exp x)) 2.0) 3)
103.0ms	(cbrt (pow (- (+ (exp (* -1 x)) (exp x)) 2.0) 3))
95.0ms	(- (+ (exp (* -1 x)) (exp x)) 2.0)

simplify592.0ms

Counts: 101 → 101

prune340.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.1s

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.4s	5603×	body	1280	valid
423.0ms	1248×	body	640	valid
372.0ms	8133×	body	80	valid
209.0ms	634×	body	320	valid
37.0ms	343×	body	160	valid