Details

sample128.0ms

Algorithm

intervals

Results

62.0ms	72×	body	10240	exit
36.0ms	271×	body	80	valid
8.0ms	7×	body	1280	valid
5.0ms	10×	body	640	valid
1.0ms	5×	body	160	valid
0.0ms	1×	body	320	valid

simplify39.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

39.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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

17.0ms	(- (log (+ 1 (exp x))) (* x y))
5.0ms	(+ 1 (exp x))
4.0ms	(log (+ 1 (exp x)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

64.0ms	(- (log (+ 1 (exp x))) (* x y))
62.0ms	(log (+ 1 (exp x)))
12.0ms	(+ 1 (exp x))

simplify3.2s

Counts

65 → 57

Calls

65 calls:

Slowest

373.0ms	(* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x)))
337.0ms	(- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* x y) (* x y)))
299.0ms	(- (pow (log (+ 1 (exp x))) 3) (pow (* x y) 3))
258.0ms	(exp (- (log (+ 1 (exp x))) (* x y)))
185.0ms	(* (* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y))) (- (log (+ 1 (exp x))) (* x y)))

prune499.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b	(log (sqrt (+ 1 (exp x))))
0.7b	(log (sqrt (+ 1 (exp x))))
0.0b	(sqrt (+ 1 (exp x)))
0.0b	(sqrt (+ 1 (exp x)))

rewrite29.0ms

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-+` `add-cbrt-cube` `pow1/2` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 76

Calls

4 calls:

Slowest

11.0ms	(sqrt (+ 1 (exp x)))
9.0ms	(sqrt (+ 1 (exp x)))
4.0ms	(log (sqrt (+ 1 (exp x))))
4.0ms	(log (sqrt (+ 1 (exp x))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

148.0ms	(log (sqrt (+ 1 (exp x))))
136.0ms	(log (sqrt (+ 1 (exp x))))
40.0ms	(sqrt (+ 1 (exp x)))
36.0ms	(sqrt (+ 1 (exp x)))

simplify3.9s

Counts

112 → 88

Calls

112 calls:

Slowest

405.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
351.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
232.0ms	(- (+ (* 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))))
212.0ms	(- (+ (* 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))))
184.0ms	(log (sqrt (+ (pow 1 3) (pow (exp x) 3))))

prune977.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (log 2) (* x (+ (* x 1/8) 1/2))) (* x y))
0.0b	(+ (log 2) (* x (+ (* x 1/8) 1/2)))
0.0b	(* x (+ (* x 1/8) 1/2))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-+l+` `log-prod` `associate-r` `associate-l` `insert-posit16`
2×	`distribute-rgt-in` `associate-+r+` `sum-log` `distribute-lft-in` `flip3-+` `diff-log` `associate-*r/` `flip-+`
1×	`+-commutative` `sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

Slowest

36.0ms	(* x (+ (* x 1/8) 1/2))
26.0ms	(- (+ (log 2) (* x (+ (* x 1/8) 1/2))) (* x y))
13.0ms	(+ (log 2) (* x (+ (* x 1/8) 1/2)))

series170.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

73.0ms	(* x (+ (* x 1/8) 1/2))
67.0ms	(- (+ (log 2) (* x (+ (* x 1/8) 1/2))) (* x y))
30.0ms	(+ (log 2) (* x (+ (* x 1/8) 1/2)))

simplify7.6s

Counts

69 → 64

Calls

69 calls:

Slowest

490.0ms	(- (* (log 2) (log 2)) (* (* x (+ (* x 1/8) 1/2)) (* x (+ (* x 1/8) 1/2))))
475.0ms	(exp (+ (log 2) (* x (+ (* x 1/8) 1/2))))
401.0ms	(* 2 (exp (* x (+ (* x 1/8) 1/2))))
254.0ms	(exp (* x (+ (* x 1/8) 1/2)))
246.0ms	(log (- (+ (log 2) (* x (+ (* x 1/8) 1/2))) (* x y)))

prune605.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

0% (0.8b remaining)

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

bsearch2.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.7s	2427×	body	10240	exit
851.0ms	8355×	body	80	valid
139.0ms	254×	body	640	valid
120.0ms	132×	body	1280	valid
69.0ms	199×	body	320	valid
23.0ms	116×	body	160	valid