Details

sample83.0ms

Algorithm

intervals

Results

43.0ms	79×	body	10240	exit
14.0ms	271×	body	80	valid
4.0ms	5×	body	1280	valid
2.0ms	7×	body	640	valid
2.0ms	7×	body	320	valid
1.0ms	4×	body	160	valid

simplify23.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

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:

28.0ms	(- (log (+ 1.0 (exp x))) (* x y))
7.0ms	(+ 1.0 (exp x))
7.0ms	(log (+ 1.0 (exp x)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (log (+ 1.0 (exp x))) (* x y))
9.0ms	(+ 1.0 (exp x))
65.0ms	(log (+ 1.0 (exp x)))

simplify750.0ms

Counts: 54 → 54

prune211.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp x)))
0.0b	(sqrt (+ 1.0 (exp x)))
0.7b	(log (sqrt (+ 1.0 (exp x))))
0.7b	(log (sqrt (+ 1.0 (exp x))))

rewrite48.0ms

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:

17.0ms	(sqrt (+ 1.0 (exp x)))
15.0ms	(sqrt (+ 1.0 (exp x)))
7.0ms	(log (sqrt (+ 1.0 (exp x))))
7.0ms	(log (sqrt (+ 1.0 (exp x))))

series320.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (+ 1.0 (exp x)))
32.0ms	(sqrt (+ 1.0 (exp x)))
131.0ms	(log (sqrt (+ 1.0 (exp x))))
125.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify507.0ms

Counts: 84 → 84

prune329.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ 1.0 (exp x)))
0.7b	(cbrt (+ 1.0 (exp x)))
0.7b	(cbrt (+ 1.0 (exp x)))
0.7b	(log (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
13×	`*-un-lft-identity`
12×	`pow1` `cbrt-prod`
9×	`flip3-+` `pow1/3` `log-pow` `flip-+`
8×	`log-div`
7×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-r/` `rem-log-exp` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `log-prod` `pow-plus` `prod-exp`

Counts

4 → 69

Calls

4 calls:

5.0ms	(cbrt (+ 1.0 (exp x)))
5.0ms	(cbrt (+ 1.0 (exp x)))
5.0ms	(cbrt (+ 1.0 (exp x)))
38.0ms	(log (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))

series704.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt (+ 1.0 (exp x)))
161.0ms	(cbrt (+ 1.0 (exp x)))
144.0ms	(cbrt (+ 1.0 (exp x)))
235.0ms	(log (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))

simplify735.0ms

Counts: 81 → 81

prune470.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b

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

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))

rewrite332.0ms

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:

258.0ms

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

29.0ms

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

44.0ms

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

series666.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms

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

490.0ms

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

83.0ms

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

simplify546.0ms

Counts: 55 → 55

prune174.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

Accuracy

0.6% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 1.0b

bsearch0.0ms

simplify636.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.8s	2458×	body	10240	exit
815.0ms	8428×	body	80	valid
110.0ms	260×	body	640	valid
84.0ms	119×	body	1280	valid
56.0ms	122×	body	160	valid
48.0ms	192×	body	320	valid