Details

sample69.0ms

Algorithm

intervals

Results

35.0ms	76×	body	10240	exit
12.0ms	259×	body	80	valid
3.0ms	5×	body	1280	valid
3.0ms	9×	body	640	valid
1.0ms	4×	body	320	valid
1.0ms	6×	body	160	valid

simplify17.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.9b	(log (+ 1.0 (exp x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

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

series166.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(- (log (+ 1.0 (exp x))) (* x y))
86.0ms	(log (+ 1.0 (exp x)))

simplify2.0s

Counts: 39 → 39

prune163.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp x)))
0.0b	(sqrt (+ 1.0 (exp x)))
1.6b	(log (sqrt (+ 1.0 (exp x))))
1.6b	(log (sqrt (+ 1.0 (exp x))))

rewrite43.0ms

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:

10.0ms	(sqrt (+ 1.0 (exp x)))
10.0ms	(sqrt (+ 1.0 (exp x)))
8.0ms	(log (sqrt (+ 1.0 (exp x))))
12.0ms	(log (sqrt (+ 1.0 (exp x))))

series453.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(sqrt (+ 1.0 (exp x)))
57.0ms	(sqrt (+ 1.0 (exp x)))
145.0ms	(log (sqrt (+ 1.0 (exp x))))
186.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify637.0ms

Counts: 84 → 84

prune415.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.7b

localize31.0ms

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))

rewrite294.0ms

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:

11.0ms

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

231.0ms

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

50.0ms

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

series812.0ms

Counts

3 → 9

Calls

3 calls:

636.0ms

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

103.0ms

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

73.0ms

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

simplify598.0ms

Counts: 55 → 55

prune260.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log 2.0) (* 0.125 (pow x 2)))
0.0b	(- (+ (+ (log 2.0) (* 0.125 (pow x 2))) (* 0.5 x)) (* x y))
0.0b	(+ (+ (log 2.0) (* 0.125 (pow x 2))) (* 0.5 x))

rewrite336.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

17.0ms	(+ (log 2.0) (* 0.125 (pow x 2)))
249.0ms	(- (+ (+ (log 2.0) (* 0.125 (pow x 2))) (* 0.5 x)) (* x y))
67.0ms	(+ (+ (log 2.0) (* 0.125 (pow x 2))) (* 0.5 x))

series525.0ms

Counts

3 → 9

Calls

3 calls:

391.0ms	(+ (log 2.0) (* 0.125 (pow x 2)))
74.0ms	(- (+ (+ (log 2.0) (* 0.125 (pow x 2))) (* 0.5 x)) (* x y))
60.0ms	(+ (+ (log 2.0) (* 0.125 (pow x 2))) (* 0.5 x))

simplify609.0ms

Counts: 51 → 51

prune182.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

regimes49.0ms

Accuracy

0% (0.8b remaining)

Error of 1.1b against oracle of 0.2b and baseline of 1.1b

bsearch0.0ms

simplify774.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.2s	2470×	body	10240	exit
717.0ms	8342×	body	80	valid
116.0ms	285×	body	640	valid
81.0ms	121×	body	1280	valid
49.0ms	184×	body	320	valid
14.0ms	102×	body	160	valid