Details

sample63.0ms

Algorithm

intervals

Results

23.0ms	73×	body	1280	valid
14.0ms	81×	body	10240	exit
6.0ms	38×	body	640	valid
3.0ms	105×	body	80	valid
3.0ms	30×	body	320	valid
1.0ms	11×	body	160	valid

simplify14.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.1b

localize5.0ms

Local error

Found 1 expressions with local error:

3.8b	(- (exp x) 1.0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

11.0ms

(- (exp x) 1.0)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(- (exp x) 1.0)

simplify1.8s

Counts: 17 → 17

prune62.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
0.0b	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.1b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log`
11×	`associate-l`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-r` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-r/` `associate-/r/` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 91

Calls

4 calls:

16.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
27.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
51.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
7.0ms	(* x 1/6)

series199.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
63.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
82.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
18.0ms	(* x 1/6)

simplify843.0ms

Counts: 103 → 103

prune328.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
0.0b	(+ (* 1/12 x) (/ 1 x))
0.3b	(* 1/12 x)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

47.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
18.0ms	(+ (* 1/12 x) (/ 1 x))
7.0ms	(* 1/12 x)

series92.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
54.0ms	(+ (* 1/12 x) (/ 1 x))
21.0ms	(* 1/12 x)

simplify1.5s

Counts: 52 → 52

prune123.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

3.8b	(- (exp x) 1.0)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

23.0ms

(- (exp x) 1.0)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(- (exp x) 1.0)

simplify2.4s

Counts: 17 → 17

prune61.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes56.0ms

Accuracy

0% (0.7b remaining)

Error of 1.1b against oracle of 0.4b and baseline of 1.1b

bsearch0.0ms

simplify1.1s

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	2481×	body	10240	exit
638.0ms	2288×	body	1280	valid
423.0ms	1633×	body	640	valid
145.0ms	2881×	body	80	valid
90.0ms	788×	body	320	valid
77.0ms	411×	body	160	valid