Details

sample117.0ms

Algorithm

intervals

Results

65.0ms	72×	body	10240	exit
26.0ms	272×	body	80	valid
5.0ms	5×	body	1280	valid
3.0ms	9×	body	320	valid
3.0ms	6×	body	640	valid
1.0ms	4×	body	160	valid

simplify40.0ms

Calls

1 calls:

Slowest

40.0ms

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

prune39.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
8×	`log-prod` `add-log-exp`
6×	`pow1`
5×	`add-cube-cbrt`
4×	`log-div` `associate--l+` `add-exp-log` `distribute-lft-out--`
3×	`flip3-+` `add-cbrt-cube` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out`
2×	`associate--l-` `diff-log` `associate-l` `difference-of-squares`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `rem-log-exp` `flip--` `unswap-sqr`

Calls

3 calls:

Slowest

25.0ms	(- (log (+ 1 (exp x))) (* x y))
9.0ms	(+ 1 (exp x))
8.0ms	(log (+ 1 (exp x)))

series144.0ms

Calls

3 calls:

Slowest

75.0ms	(log (+ 1 (exp x)))
59.0ms	(- (log (+ 1 (exp x))) (* x y))
9.0ms	(+ 1 (exp x))

simplify1.1s

Calls

34 calls:

Slowest

165.0ms	(/ (exp (log (+ 1 (exp x)))) (exp (* x y)))
119.0ms	(log (+ (pow 1 3) (pow (exp x) 3)))
94.0ms	(log (+ (pow 1 3) (pow (exp x) 3)))
80.0ms	(+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
61.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))

prune552.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

5.0b	(log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))
5.0b	(- (* (exp x) (exp x)) (* 1 (exp x)))
0.3b	(log (+ (exp (+ (+ x x) x)) 1))
0.0b	(* (exp x) (exp x))

rewrite314.0ms

Algorithm

rewrite-expression-head

Rules

113×	`*-un-lft-identity`
55×	`add-sqr-sqrt`
38×	`log-prod`
36×	`distribute-lft-out--`
35×	`associate-l`
32×	`distribute-lft-out`
18×	`exp-prod` `add-cube-cbrt`
17×	`associate-r`
16×	`*-commutative`
15×	`difference-of-squares` `unswap-sqr`
13×	`pow1`
11×	`swap-sqr`
10×	`add-exp-log`
8×	`distribute-rgt-out--`
6×	`add-cbrt-cube` `add-log-exp`
4×	`log-div` `pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up` `insert-posit16`
2×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`pow2` `sub-neg` `pow-plus` `flip3--` `diff-log` `cbrt-unprod` `flip--`

Calls

4 calls:

Slowest

120.0ms	(log (+ (exp (+ (+ x x) x)) 1))
112.0ms	(log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))
64.0ms	(- (* (exp x) (exp x)) (* 1 (exp x)))
14.0ms	(* (exp x) (exp x))

series656.0ms

Calls

4 calls:

Slowest

471.0ms	(log (+ (exp (+ (+ x x) x)) 1))
131.0ms	(log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))
34.0ms	(- (* (exp x) (exp x)) (* 1 (exp x)))
20.0ms	(* (exp x) (exp x))

simplify6.0s

Calls

156 calls:

Slowest

463.0ms	(log (- (* (* 1 1) (* 1 1)) (* (- (* (exp x) (exp x)) (* 1 (exp x))) (- (* (exp x) (exp x)) (* 1 (exp x))))))
411.0ms	(log (+ (pow (* 1 1) 3) (pow (- (* (exp x) (exp x)) (* 1 (exp x))) 3)))
337.0ms	(/ (exp (* (exp x) (exp x))) (exp (* 1 (exp x))))
335.0ms	(log (+ (pow (exp (+ (+ x x) x)) 3) (pow 1 3)))
250.0ms	(log (- (* (exp (+ (+ x x) x)) (exp (+ (+ x x) x))) (* 1 1)))

prune2.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

5.0b	(log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))
5.0b	(- (* (exp x) (exp x)) (* 1 (exp x)))
0.9b	(log (sqrt (+ (exp (+ (+ x x) x)) 1)))
0.9b	(log (sqrt (+ (exp (+ (+ x x) x)) 1)))

rewrite416.0ms

Algorithm

rewrite-expression-head

Rules

108×	`*-un-lft-identity`
48×	`log-prod`
46×	`add-sqr-sqrt`
36×	`distribute-lft-out--`
33×	`distribute-lft-out`
32×	`associate-l`
15×	`*-commutative` `difference-of-squares`
14×	`associate-r` `unswap-sqr`
11×	`add-cube-cbrt`
9×	`pow1`
8×	`distribute-rgt-out--` `swap-sqr` `sqrt-prod`
7×	`add-exp-log` `log-pow`
6×	`log-div` `add-log-exp`
4×	`add-cbrt-cube` `sqrt-div` `insert-posit16`
3×	`flip3-+` `rem-log-exp` `flip-+`
2×	`sqrt-pow1` `pow1/2`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Calls

4 calls:

Slowest

119.0ms	(log (sqrt (+ (exp (+ (+ x x) x)) 1)))
115.0ms	(log (sqrt (+ (exp (+ (+ x x) x)) 1)))
110.0ms	(log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))
69.0ms	(- (* (exp x) (exp x)) (* 1 (exp x)))

series478.0ms

Calls

4 calls:

Slowest

148.0ms	(log (sqrt (+ (exp (+ (+ x x) x)) 1)))
141.0ms	(log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))
140.0ms	(log (sqrt (+ (exp (+ (+ x x) x)) 1)))
49.0ms	(- (* (exp x) (exp x)) (* 1 (exp x)))

simplify7.1s

Calls

130 calls:

Slowest

458.0ms	(log (- (* (* 1 1) (* 1 1)) (* (- (* (exp x) (exp x)) (* 1 (exp x))) (- (* (exp x) (exp x)) (* 1 (exp x))))))
386.0ms	(log (+ (pow (* 1 1) 3) (pow (- (* (exp x) (exp x)) (* 1 (exp x))) 3)))
316.0ms	(log (sqrt (+ (pow (exp (+ (+ x x) x)) 3) (pow 1 3))))
315.0ms	(log (sqrt (+ (pow (exp (+ (+ x x) x)) 3) (pow 1 3))))
315.0ms	(/ (exp (* (exp x) (exp x))) (exp (* 1 (exp x))))

prune2.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

8.5b	(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))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
18×	`distribute-lft-out`
14×	`log-prod`
11×	`add-log-exp`
10×	`add-sqr-sqrt`
8×	`associate-l`
7×	`associate--l+`
6×	`pow1`
5×	`add-cube-cbrt`
4×	`log-div` `add-exp-log` `distribute-lft-out--`
3×	`sum-log` `flip3-+` `add-cbrt-cube` `log-pow` `flip-+` `insert-posit16`
2×	`associate--l-` `+-commutative` `associate-+r+` `diff-log` `difference-of-squares`
1×	`sub-neg` `flip3--` `rem-log-exp` `flip--` `unswap-sqr`

Calls

3 calls:

Slowest

100.0ms	(+ (* x (* x 1/2)) (+ x 2))
66.0ms	(log (+ (* x (* x 1/2)) (+ x 2)))
57.0ms	(- (log (+ (* x (* x 1/2)) (+ x 2))) (* x y))

series165.0ms

Calls

3 calls:

Slowest

78.0ms	(- (log (+ (* x (* x 1/2)) (+ x 2))) (* x y))
55.0ms	(log (+ (* x (* x 1/2)) (+ x 2)))
31.0ms	(+ (* x (* x 1/2)) (+ x 2))

simplify5.1s

Calls

44 calls:

Slowest

527.0ms	(* (exp (* x (* x 1/2))) (exp (+ x 2)))
389.0ms	(log (+ (pow (* x (* x 1/2)) 3) (pow (+ x 2) 3)))
360.0ms	(log (+ (pow (* x (* x 1/2)) 3) (pow (+ x 2) 3)))
320.0ms	(- (+ (log 1/2) (* 2 (/ 1 x))) (+ (* 2 (log (/ 1 x))) (* x y)))
318.0ms	(/ (exp (log (+ (* x (* x 1/2)) (+ x 2)))) (exp (* x y)))

prune705.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.8b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 1.1b

bsearch8.0ms

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.4s	2471×	body	10240	exit
958.0ms	8394×	body	80	valid
613.0ms	244×	body	640	valid
129.0ms	138×	body	1280	valid
87.0ms	176×	body	320	valid
28.0ms	126×	body	160	valid