Details

sample127.0ms

Algorithm

intervals

Results

77.0ms	96×	body	10240	exit
23.0ms	264×	body	80	valid
4.0ms	8×	body	640	valid
3.0ms	10×	body	320	valid
3.0ms	3×	body	1280	valid
1.0ms	5×	body	160	valid

simplify30.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

30.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize41.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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

15.0ms	(- (log (+ 1 (exp x))) (* x y))
10.0ms	(+ 1 (exp x))
6.0ms	(log (+ 1 (exp x)))

series135.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

65.0ms	(log (+ 1 (exp x)))
61.0ms	(- (log (+ 1 (exp x))) (* x y))
9.0ms	(+ 1 (exp x))

simplify3.3s

Counts

65 → 57

Calls

65 calls:

Slowest

382.0ms	(* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x)))
361.0ms	(exp (- (log (+ 1 (exp x))) (* x y)))
322.0ms	(- (pow (log (+ 1 (exp x))) 3) (pow (* x y) 3))
283.0ms	(- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* x y) (* x y)))
164.0ms	(* (* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y))) (- (log (+ 1 (exp x))) (* x y)))

prune616.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`log-prod`
8×	`add-sqr-sqrt` `pow1` `add-cube-cbrt` `sqrt-prod` `add-log-exp`
6×	`add-exp-log` `log-pow`
4×	`log-div` `flip3-+` `add-cbrt-cube` `sqrt-div` `flip-+` `insert-posit16` `distribute-lft-out`
2×	`+-commutative` `sum-log` `sqrt-pow1` `pow1/2` `rem-log-exp`

Counts

4 → 68

Calls

4 calls:

Slowest

15.0ms	(+ 1 (exp x))
10.0ms	(+ 1 (exp x))
10.0ms	(log (sqrt (+ 1 (exp x))))
9.0ms	(log (sqrt (+ 1 (exp x))))

series305.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

153.0ms	(log (sqrt (+ 1 (exp x))))
133.0ms	(log (sqrt (+ 1 (exp x))))
10.0ms	(+ 1 (exp x))
9.0ms	(+ 1 (exp x))

simplify3.6s

Counts

98 → 80

Calls

98 calls:

Slowest

403.0ms	(* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x)))
378.0ms	(* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x)))
254.0ms	(- (+ (* 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))))
248.0ms	(- (+ (* 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))))
203.0ms	(log (sqrt (+ (pow 1 3) (pow (exp x) 3))))

prune992.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 3 expressions with local error:

6.8b	(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))

rewrite85.0ms

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

41.0ms	(+ (* x (* x 1/2)) (+ x 2))
23.0ms	(- (log (+ (* x (* x 1/2)) (+ x 2))) (* x y))
20.0ms	(log (+ (* x (* x 1/2)) (+ x 2)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

97.0ms	(- (log (+ (* x (* x 1/2)) (+ x 2))) (* x y))
39.0ms	(log (+ (* x (* x 1/2)) (+ x 2)))
28.0ms	(+ (* x (* x 1/2)) (+ x 2))

simplify7.8s

Counts

63 → 56

Calls

63 calls:

Slowest

442.0ms	(* (exp (* x (* x 1/2))) (exp (+ x 2)))
360.0ms	(- (pow (log (+ (* x (* x 1/2)) (+ x 2))) 3) (pow (* x y) 3))
356.0ms	(+ (pow (* x (* x 1/2)) 3) (pow (+ x 2) 3))
345.0ms	(- (+ (log 1/2) (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (* 2 (log (/ 1 x))))
341.0ms	(exp (+ (* x (* x 1/2)) (+ x 2)))

prune588.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize45.0ms

Local error

Found 4 expressions with local error:

9.0b	(posit16->real (real->posit16 (+ (* x (* x 1/2)) (+ x 2))))
6.8b	(log (posit16->real (real->posit16 (+ (* x (* x 1/2)) (+ x 2)))))
0.0b	(+ (* x (* x 1/2)) (+ x 2))
0.0b	(- (log (posit16->real (real->posit16 (+ (* x (* x 1/2)) (+ x 2))))) (* x y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

Slowest

26.0ms	(+ (* x (* x 1/2)) (+ x 2))
6.0ms	(- (log (posit16->real (real->posit16 (+ (* x (* x 1/2)) (+ x 2))))) (* x y))
1.0ms	(log (posit16->real (real->posit16 (+ (* x (* x 1/2)) (+ x 2)))))
0.0ms	(posit16->real (real->posit16 (+ (* x (* x 1/2)) (+ x 2))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

101.0ms	(- (log (posit16->real (real->posit16 (+ (* x (* x 1/2)) (+ x 2))))) (* x y))
46.0ms	(log (posit16->real (real->posit16 (+ (* x (* x 1/2)) (+ x 2)))))
29.0ms	(posit16->real (real->posit16 (+ (* x (* x 1/2)) (+ x 2))))
19.0ms	(+ (* x (* x 1/2)) (+ x 2))

simplify8.4s

Counts

68 → 64

Calls

68 calls:

Slowest

698.0ms	(- (pow (log (posit16->real (real->posit16 (+ (* x (* x 1/2)) (+ x 2))))) 3) (pow (* x y) 3))
429.0ms	(* (exp (* x (* x 1/2))) (exp (+ x 2)))
409.0ms	(- (* (log (posit16->real (real->posit16 (+ (* x (* x 1/2)) (+ x 2))))) (log (posit16->real (real->posit16 (+ (* x (* x 1/2)) (+ x 2)))))) (* (* x y) (* x y)))
393.0ms	(exp (+ (* x (* x 1/2)) (+ x 2)))
393.0ms	(+ (pow (* x (* x 1/2)) 3) (pow (+ x 2) 3))

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

regimes135.0ms

Accuracy

0% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 1.0b

bsearch2.0ms

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.4s	2456×	body	10240	exit
1.5s	8388×	body	80	valid
152.0ms	124×	body	1280	valid
146.0ms	259×	body	640	valid
81.0ms	219×	body	320	valid
21.0ms	95×	body	160	valid