Details

sample111.0ms

Algorithm

intervals

Results

63.0ms	72×	body	10240	exit
24.0ms	264×	body	80	valid
5.0ms	8×	body	640	valid
4.0ms	4×	body	1280	valid
2.0ms	4×	body	320	valid
1.0ms	6×	body	160	valid

simplify34.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

34.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 3 expressions with local error:

0.3b	(log (+ 1 (exp x)))
0.0b	(- (log (+ 1 (exp x))) (* x y))
0.0b	(+ 1 (exp x))

rewrite44.0ms

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

27.0ms	(log (+ 1 (exp x)))
12.0ms	(- (log (+ 1 (exp x))) (* x y))
5.0ms	(+ 1 (exp x))

series122.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

59.0ms	(log (+ 1 (exp x)))
55.0ms	(- (log (+ 1 (exp x))) (* x y))
8.0ms	(+ 1 (exp x))

simplify714.0ms

Counts

25 → 57

Calls

25 calls:

Slowest

99.0ms	(log (+ (pow 1 3) (pow (exp x) 3)))
88.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))
78.0ms	(log (+ (pow 1 3) (pow (exp x) 3)))
59.0ms	(+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
54.0ms	(+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))

prune541.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.9b	(log (sqrt (+ 1 (exp x))))
0.9b	(log (sqrt (+ 1 (exp x))))
0.0b	(- (log (sqrt (+ 1 (exp x)))) (* x y))
0.0b	(sqrt (+ 1 (exp x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
19×	`*-un-lft-identity`
16×	`sqrt-prod`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`pow1`
8×	`sqrt-div`
7×	`associate--l+`
6×	`log-div` `add-exp-log` `log-pow`
5×	`add-log-exp`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out`
3×	`sqrt-pow1` `pow1/2`
2×	`associate--l-` `rem-log-exp`
1×	`rem-sqrt-square` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 81

Calls

4 calls:

Slowest

10.0ms	(- (log (sqrt (+ 1 (exp x)))) (* x y))
6.0ms	(sqrt (+ 1 (exp x)))
4.0ms	(log (sqrt (+ 1 (exp x))))
4.0ms	(log (sqrt (+ 1 (exp x))))

series446.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

146.0ms	(log (sqrt (+ 1 (exp x))))
136.0ms	(- (log (sqrt (+ 1 (exp x)))) (* x y))
117.0ms	(log (sqrt (+ 1 (exp x))))
47.0ms	(sqrt (+ 1 (exp x)))

simplify2.4s

Counts

52 → 93

Calls

52 calls:

Slowest

334.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
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))))
235.0ms	(- (+ (* 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))))
219.0ms	(- (+ (* 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	(log (sqrt (+ (pow 1 3) (pow (exp x) 3))))

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize71.0ms

Local error

Found 4 expressions with local error:

0.9b	(log (cbrt (* (* (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x))))))
0.9b	(log (sqrt (+ 1 (exp x))))
0.7b	(cbrt (* (* (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))))
0.7b	(* (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x))))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

122×	`sqrt-div`
61×	`flip3-+` `flip-+`
60×	`frac-times`
52×	`cbrt-div`
31×	`*-un-lft-identity`
30×	`associate-*l/` `sqrt-prod`
28×	`log-div`
27×	`add-sqr-sqrt`
22×	`pow1`
18×	`associate-*r/`
15×	`add-cube-cbrt`
11×	`log-prod` `swap-sqr`
9×	`sqrt-pow1` `pow1/2`
8×	`add-exp-log`
7×	`associate-r` `associate-l` `distribute-lft-out`
6×	`add-cbrt-cube`
5×	`log-pow` `pow-prod-up`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-prod` `pow1/3` `rem-log-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `pow3` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 162

Calls

4 calls:

Slowest

62.0ms	(cbrt (* (* (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))))
51.0ms	(* (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x))))
32.0ms	(log (cbrt (* (* (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x))))))
9.0ms	(log (sqrt (+ 1 (exp x))))

series330.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

155.0ms	(log (cbrt (* (* (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x))))))
127.0ms	(log (sqrt (+ 1 (exp x))))
36.0ms	(cbrt (* (* (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))))
12.0ms	(* (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x))))

simplify16.3s

Counts

162 → 174

Calls

162 calls:

Slowest

425.0ms	(log (cbrt (* (* (sqrt (+ (pow 1 3) (pow (exp x) 3))) (sqrt (+ (pow 1 3) (pow (exp x) 3)))) (sqrt (- (* 1 1) (* (exp x) (exp x)))))))
416.0ms	(log (cbrt (* (* (sqrt (+ (pow 1 3) (pow (exp x) 3))) (sqrt (+ (pow 1 3) (pow (exp x) 3)))) (sqrt (+ 1 (exp x))))))
409.0ms	(log (cbrt (* (* (sqrt (+ (pow 1 3) (pow (exp x) 3))) (sqrt (+ (pow 1 3) (pow (exp x) 3)))) (sqrt (+ (pow 1 3) (pow (exp x) 3))))))
401.0ms	(cbrt (* (* (sqrt (+ (pow 1 3) (pow (exp x) 3))) (sqrt (+ (pow 1 3) (pow (exp x) 3)))) (sqrt (- (* 1 1) (* (exp x) (exp x))))))
399.0ms	(cbrt (* (* (sqrt (+ (pow 1 3) (pow (exp x) 3))) (sqrt (+ (pow 1 3) (pow (exp x) 3)))) (sqrt (+ 1 (exp x)))))

prune2.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 3 expressions with local error:

7.5b	(log (+ (* x (* x 1/2)) (+ x 2)))
0.0b	(- (log (+ (* x (* x 1/2)) (+ x 2))) (* x y))
0.0b	(+ (* x (* x 1/2)) (+ x 2))

rewrite64.0ms

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

26.0ms	(- (log (+ (* x (* x 1/2)) (+ x 2))) (* x y))
20.0ms	(+ (* x (* x 1/2)) (+ x 2))
18.0ms	(log (+ (* x (* x 1/2)) (+ x 2)))

series153.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

84.0ms	(- (log (+ (* x (* x 1/2)) (+ x 2))) (* x y))
40.0ms	(log (+ (* x (* x 1/2)) (+ x 2)))
30.0ms	(+ (* x (* x 1/2)) (+ x 2))

simplify3.9s

Counts

23 → 56

Calls

23 calls:

Slowest

520.0ms	(log (- (* (* x (* x 1/2)) (* x (* x 1/2))) (* (+ x 2) (+ x 2))))
427.0ms	(* (exp (* x (* x 1/2))) (exp (+ x 2)))
337.0ms	(log (+ (pow (* x (* x 1/2)) 3) (pow (+ x 2) 3)))
309.0ms	(- (+ (log 1/2) (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (* 2 (log (/ 1 x))))
304.0ms	(log (+ (pow (* x (* x 1/2)) 3) (pow (+ x 2) 3)))

prune521.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes68.0ms

Accuracy

0% (0.8b remaining)

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

bsearch2.0ms

end0.0ms

sample4.6s

Algorithm

intervals

Results

3.0s	2524×	body	10240	exit
950.0ms	8459×	body	80	valid
191.0ms	270×	body	640	valid
125.0ms	126×	body	1280	valid
86.0ms	126×	body	160	valid
58.0ms	155×	body	320	valid