Details

sample111.0ms

Algorithm

intervals

Results

61.0ms	73×	body	10240	exit
24.0ms	268×	body	80	valid
8.0ms	8×	body	1280	valid
2.0ms	5×	body	640	valid
2.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify61.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

61.0ms

(- (log (+ 1 (exp x))) (* x y))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize30.0ms

Local error

Found 3 expressions with local error:

0.5b	(log (+ 1 (exp x)))
0.0b	(- (log (+ 1 (exp x))) (* x y))
0.0b	(+ 1 (exp x))

rewrite24.0ms

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` `log-div` `associate--l+` `add-exp-log`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 48

Calls

3 calls:

Slowest

10.0ms	(- (log (+ 1 (exp x))) (* x y))
9.0ms	(log (+ 1 (exp x)))
5.0ms	(+ 1 (exp x))

series175.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

82.0ms	(log (+ 1 (exp x)))
78.0ms	(- (log (+ 1 (exp x))) (* x y))
15.0ms	(+ 1 (exp x))

simplify770.0ms

Counts

25 → 57

Calls

25 calls:

Slowest

85.0ms	(+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
83.0ms	(log (+ (pow 1 3) (pow (exp x) 3)))
82.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))
81.0ms	(log (+ (pow 1 3) (pow (exp x) 3)))
68.0ms	(+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))

prune562.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize39.0ms

Local error

Found 4 expressions with local error:

1.2b	(log (sqrt (+ 1 (exp x))))
1.2b	(log (sqrt (+ 1 (exp x))))
0.0b	(- (log (sqrt (+ 1 (exp x)))) (* x y))
0.0b	(+ 1 (exp x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
18×	`*-un-lft-identity`
12×	`sqrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`associate--l+` `add-log-exp`
6×	`log-div` `sqrt-div` `add-exp-log` `log-pow`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out`
2×	`associate--l-` `sqrt-pow1` `pow1/2` `rem-log-exp`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 77

Calls

4 calls:

Slowest

16.0ms	(- (log (sqrt (+ 1 (exp x)))) (* x y))
15.0ms	(log (sqrt (+ 1 (exp x))))
9.0ms	(log (sqrt (+ 1 (exp x))))
5.0ms	(+ 1 (exp x))

series432.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

170.0ms	(- (log (sqrt (+ 1 (exp x)))) (* x y))
128.0ms	(log (sqrt (+ 1 (exp x))))
119.0ms	(log (sqrt (+ 1 (exp x))))
14.0ms	(+ 1 (exp x))

simplify2.0s

Counts

46 → 89

Calls

46 calls:

Slowest

259.0ms	(- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/2 (/ x (pow (sqrt 2) 2))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 4))))
233.0ms	(log (sqrt (+ (pow 1 3) (pow (exp x) 3))))
213.0ms	(- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/2 (/ x (pow (sqrt 2) 2))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 4))))
198.0ms	(- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/2 (/ x (pow (sqrt 2) 2))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 4))))
196.0ms	(log (sqrt (+ (pow 1 3) (pow (exp x) 3))))

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize50.0ms

Local error

Found 4 expressions with local error:

1.2b	(log (sqrt (+ 1 (exp x))))
1.2b	(log (sqrt (+ 1 (exp x))))
1.2b	(log (sqrt (+ 1 (exp x))))
0.0b	(* (sqrt (log (sqrt (+ 1 (exp x))))) (sqrt (log (sqrt (+ 1 (exp x))))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-prod`
35×	`pow1`
30×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
23×	`log-pow`
21×	`log-prod`
18×	`add-cube-cbrt`
15×	`sqrt-pow1` `pow1/2`
13×	`swap-sqr`
9×	`associate-r` `associate-l` `add-exp-log`
6×	`log-div` `add-cbrt-cube` `sqrt-div`
5×	`pow-prod-up`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `rem-log-exp` `pow-prod-down` `pow-sqr` `flip-+` `distribute-lft-out`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 124

Calls

4 calls:

Slowest

21.0ms	(* (sqrt (log (sqrt (+ 1 (exp x))))) (sqrt (log (sqrt (+ 1 (exp x))))))
8.0ms	(log (sqrt (+ 1 (exp x))))
8.0ms	(log (sqrt (+ 1 (exp x))))
8.0ms	(log (sqrt (+ 1 (exp x))))

series553.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

152.0ms	(* (sqrt (log (sqrt (+ 1 (exp x))))) (sqrt (log (sqrt (+ 1 (exp x))))))
135.0ms	(log (sqrt (+ 1 (exp x))))
134.0ms	(log (sqrt (+ 1 (exp x))))
132.0ms	(log (sqrt (+ 1 (exp x))))

simplify3.3s

Counts

121 → 136

Calls

121 calls:

Slowest

251.0ms	(- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/2 (/ x (pow (sqrt 2) 2))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 4))))
236.0ms	(- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/2 (/ x (pow (sqrt 2) 2))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 4))))
234.0ms	(- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/2 (/ x (pow (sqrt 2) 2))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 4))))
211.0ms	(- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/2 (/ x (pow (sqrt 2) 2))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 4))))
194.0ms	(log (sqrt (+ (pow 1 3) (pow (exp x) 3))))

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.4b

localize38.0ms

Local error

Found 3 expressions with local error:

5.4b	(log (+ (* x (* x 1/2)) (+ x 2)))
0.0b	(+ (* x (* x 1/2)) (+ x 2))
0.0b	(- (log (+ (* x (* x 1/2)) (+ x 2))) (* x y))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
6×	`log-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `log-div` `add-exp-log`
3×	`sum-log` `flip3-+` `add-cbrt-cube` `associate--l+` `flip-+` `insert-posit16`
2×	`associate--l-`
1×	`+-commutative` `associate-+r+` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 47

Calls

3 calls:

Slowest

37.0ms	(log (+ (* x (* x 1/2)) (+ x 2)))
31.0ms	(- (log (+ (* x (* x 1/2)) (+ x 2))) (* x y))
29.0ms	(+ (* x (* x 1/2)) (+ x 2))

series151.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

81.0ms	(- (log (+ (* x (* x 1/2)) (+ x 2))) (* x y))
51.0ms	(log (+ (* x (* x 1/2)) (+ x 2)))
18.0ms	(+ (* x (* x 1/2)) (+ x 2))

simplify3.7s

Counts

23 → 56

Calls

23 calls:

Slowest

448.0ms	(* (exp (* x (* x 1/2))) (exp (+ x 2)))
393.0ms	(log (+ (pow (* x (* x 1/2)) 3) (pow (+ x 2) 3)))
319.0ms	(log (+ (pow (* x (* x 1/2)) 3) (pow (+ x 2) 3)))
291.0ms	(- (+ (log 1/2) (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (* 2 (log (/ -1 x))))
288.0ms	(- (+ (log 1/2) (* 2 (/ 1 x))) (+ (* 2 (log (/ 1 x))) (* x y)))

prune642.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

regimes102.0ms

Accuracy

0% (0.7b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 0.9b

bsearch4.0ms

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.3s	2352×	body	10240	exit
1.4s	8347×	body	80	valid
151.0ms	261×	body	640	valid
143.0ms	144×	body	1280	valid
97.0ms	194×	body	320	valid
24.0ms	112×	body	160	valid