Details

sample98.0ms

Algorithm

intervals

Results

51.0ms	72×	body	10240	exit
19.0ms	278×	body	80	valid
4.0ms	8×	body	640	valid
3.0ms	2×	body	1280	valid
2.0ms	7×	body	320	valid
0.0ms	1×	body	160	valid

simplify19.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
1.2b	(log (+ 1.0 (exp x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `log-div` `associate--l+`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `log-pow` `flip--`

Counts

3 → 45

Calls

3 calls:

7.0ms	(+ 1.0 (exp x))
13.0ms	(- (log (+ 1.0 (exp x))) (* x y))
7.0ms	(log (+ 1.0 (exp x)))

series641.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ 1.0 (exp x))
92.0ms	(- (log (+ 1.0 (exp x))) (* x y))
539.0ms	(log (+ 1.0 (exp x)))

simplify921.0ms

Counts: 54 → 54

prune160.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
1.2b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
5.6b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
5.8b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
12×	`log-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`pow1` `unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`log-div` `pow-pow`
3×	`pow-unpow` `exp-prod`
2×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `unpow3` `pow-exp` `sum-cubes` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

8.0ms	(pow (exp x) 3)
28.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
17.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
47.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series376.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(pow (exp x) 3)
136.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
52.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
155.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify909.0ms

Counts: 85 → 85

prune287.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (+ 1.0 (exp x)))
0.2b	(sqrt (+ 1.0 (exp x)))
1.7b	(log (sqrt (+ 1.0 (exp x))))
1.7b	(log (sqrt (+ 1.0 (exp x))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

14.0ms	(sqrt (+ 1.0 (exp x)))
9.0ms	(sqrt (+ 1.0 (exp x)))
7.0ms	(log (sqrt (+ 1.0 (exp x))))
7.0ms	(log (sqrt (+ 1.0 (exp x))))

series344.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sqrt (+ 1.0 (exp x)))
45.0ms	(sqrt (+ 1.0 (exp x)))
147.0ms	(log (sqrt (+ 1.0 (exp x))))
110.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify784.0ms

Counts: 84 → 84

prune267.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (/ (pow x 2) 2) 2.0) x)
0.0b	(- (log (+ (+ (/ (pow x 2) 2) 2.0) x)) (* x y))
7.3b	(log (+ (+ (/ (pow x 2) 2) 2.0) x))

rewrite361.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
10×	`log-prod`
9×	`distribute-lft-out` `add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `associate--l+`
4×	`pow1` `add-exp-log` `log-div`
3×	`flip3-+` `sum-log` `add-cbrt-cube` `flip-+`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `associate-+l+` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 50

Calls

3 calls:

153.0ms	(+ (+ (/ (pow x 2) 2) 2.0) x)
116.0ms	(- (log (+ (+ (/ (pow x 2) 2) 2.0) x)) (* x y))
90.0ms	(log (+ (+ (/ (pow x 2) 2) 2.0) x))

series209.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (+ (/ (pow x 2) 2) 2.0) x)
110.0ms	(- (log (+ (+ (/ (pow x 2) 2) 2.0) x)) (* x y))
70.0ms	(log (+ (+ (/ (pow x 2) 2) 2.0) x))

simplify1.7s

Counts: 59 → 59

prune194.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.6b

regimes77.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify713.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.9s	2339×	body	10240	exit
579.0ms	8438×	body	80	valid
91.0ms	246×	body	640	valid
75.0ms	112×	body	1280	valid
44.0ms	193×	body	320	valid
12.0ms	89×	body	160	valid