Details

sample81.0ms

Algorithm

intervals

Results

36.0ms	75×	body	10240	exit
24.0ms	273×	body	80	valid
3.0ms	9×	body	640	valid
2.0ms	4×	body	1280	valid
1.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.5b	(log (+ 1.0 (exp x)))

rewrite25.0ms

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:

6.0ms	(+ 1.0 (exp x))
12.0ms	(- (log (+ 1.0 (exp x))) (* x y))
6.0ms	(log (+ 1.0 (exp x)))

series186.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ 1.0 (exp x))
86.0ms	(- (log (+ 1.0 (exp x))) (* x y))
88.0ms	(log (+ 1.0 (exp x)))

simplify89.0ms

Counts: 54 → 54

prune162.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
0.3b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.3b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
4.5b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `exp-prod`
16×	`add-cube-cbrt`
13×	`pow1`
12×	`log-prod`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`distribute-lft-out`
4×	`unpow-prod-down` `log-div` `cube-prod` `pow-prod-down` `pow-sqr` `pow-prod-up`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`pow2` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-plus` `diff-log` `prod-exp` `sum-cubes` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

18.0ms	(* (exp x) (exp x))
22.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
37.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
23.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (exp x) (exp x))
113.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
130.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
48.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))

simplify45.0ms

Counts: 93 → 93

prune418.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp x)))
0.0b	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
1.2b	(log (sqrt (+ 1.0 (exp x))))
1.2b	(log (sqrt (+ 1.0 (exp x))))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`log-prod`
12×	`sqrt-prod`
10×	`add-sqr-sqrt` `sqrt-div`
9×	`pow1` `add-cube-cbrt`
8×	`log-div`
7×	`add-log-exp`
6×	`add-exp-log` `log-pow`
5×	`flip3-+` `flip-+`
4×	`associate--l-` `add-cbrt-cube`
3×	`sqrt-pow1` `pow1/2` `distribute-lft-out`
2×	`associate-+l-` `associate-+r-` `diff-log` `rem-log-exp`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

4 → 74

Calls

4 calls:

13.0ms	(sqrt (+ 1.0 (exp x)))
120.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
7.0ms	(log (sqrt (+ 1.0 (exp x))))
7.0ms	(log (sqrt (+ 1.0 (exp x))))

series467.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (+ 1.0 (exp x)))
157.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
144.0ms	(log (sqrt (+ 1.0 (exp x))))
133.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify70.0ms

Counts: 86 → 86

prune368.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp x)))
0.0b	(sqrt (+ 1.0 (exp x)))
1.2b	(log (sqrt (+ 1.0 (exp x))))
1.2b	(log (sqrt (+ 1.0 (exp x))))

rewrite50.0ms

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:

14.0ms	(sqrt (+ 1.0 (exp x)))
14.0ms	(sqrt (+ 1.0 (exp x)))
10.0ms	(log (sqrt (+ 1.0 (exp x))))
10.0ms	(log (sqrt (+ 1.0 (exp x))))

series341.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt (+ 1.0 (exp x)))
35.0ms	(sqrt (+ 1.0 (exp x)))
140.0ms	(log (sqrt (+ 1.0 (exp x))))
134.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify31.0ms

Counts: 84 → 84

prune289.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify54.0ms

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.6s	2492×	body	10240	exit
963.0ms	8392×	body	80	valid
99.0ms	266×	body	640	valid
83.0ms	126×	body	1280	valid
49.0ms	212×	body	320	valid
15.0ms	106×	body	160	valid