Details

sample73.0ms

Algorithm

intervals

Results

42.0ms	96×	body	10240	exit
12.0ms	270×	body	80	valid
3.0ms	5×	body	1280	valid
1.0ms	4×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
0.6b	(log (+ 1.0 (exp x)))

rewrite27.0ms

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:

13.0ms	(- (log (+ 1.0 (exp x))) (* x y))
7.0ms	(+ 1.0 (exp x))
6.0ms	(log (+ 1.0 (exp x)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (log (+ 1.0 (exp x))) (* x y))
9.0ms	(+ 1.0 (exp x))
69.0ms	(log (+ 1.0 (exp x)))

simplify41.0ms

Counts: 54 → 54

prune148.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.8b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.4b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
4.6b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite93.0ms

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:

5.0ms	(pow (exp x) 3)
23.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
18.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
45.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow (exp x) 3)
100.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
45.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
115.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify54.0ms

Counts: 85 → 85

prune301.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.6b	(log (+ (exp x) 1.0))
0.7b	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
11.6b	(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`pow1` `add-exp-log` `unpow-prod-down` `cube-prod` `add-log-exp`
5×	`add-cbrt-cube`
4×	`cube-div` `log-prod`
3×	`pow-unpow`
2×	`cube-mult` `log-div` `cbrt-div` `flip3--` `flip3-+` `unpow3` `flip--` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `rem-log-exp` `pow-exp` `sum-log` `log-pow` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 75

Calls

4 calls:

14.0ms	(+ (exp x) 1.0)
8.0ms	(log (+ (exp x) 1.0))
10.0ms	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
9.0ms	(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

series277.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (exp x) 1.0)
66.0ms	(log (+ (exp x) 1.0))
142.0ms	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
60.0ms	(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

simplify39.0ms

Counts: 87 → 87

prune198.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))

0.0b

(- (+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (* x y))

0.0b

(+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
7×	`sum-log`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `associate-+r+` `*-un-lft-identity`
3×	`pow1` `add-exp-log` `sub-neg` `log-prod` `diff-log` `add-cbrt-cube`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`
1×	`flip3--` `associate--l+` `flip--`

Counts

3 → 46

Calls

3 calls:

10.0ms

(+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))

154.0ms

(- (+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (* x y))

37.0ms

(+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x))

series517.0ms

Counts

3 → 9

Calls

3 calls:

380.0ms

(+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))

77.0ms

(- (+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (* x y))

60.0ms

(+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x))

simplify33.0ms

Counts: 55 → 55

prune172.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes76.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	2464×	body	10240	exit
797.0ms	8421×	body	80	valid
80.0ms	150×	body	1280	valid
74.0ms	255×	body	640	valid
43.0ms	110×	body	160	valid
32.0ms	182×	body	320	valid