Details

sample116.0ms

Algorithm

intervals

Results

64.0ms	81×	body	10240	exit
17.0ms	258×	body	80	valid
8.0ms	17×	body	640	valid
4.0ms	4×	body	1280	valid
2.0ms	7×	body	320	valid
1.0ms	6×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
0.7b	(log (+ 1.0 (exp x)))

rewrite32.0ms

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-+` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 45

Calls

3 calls:

15.0ms	(- (log (+ 1.0 (exp x))) (* x y))
8.0ms	(+ 1.0 (exp x))
7.0ms	(log (+ 1.0 (exp x)))

series170.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (log (+ 1.0 (exp x))) (* x y))
13.0ms	(+ 1.0 (exp x))
80.0ms	(log (+ 1.0 (exp x)))

simplify1.4s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
3	3010
2	648
1	211
0	92

prune318.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize41.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x))))
0.7b	(log (+ 1.0 (exp x)))
0.7b	(log (+ 1.0 (exp x)))
0.7b	(log (+ 1.0 (exp x)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`pow1` `log-prod`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
9×	`add-exp-log` `log-pow`
6×	`log-div` `add-cbrt-cube` `swap-sqr`
5×	`distribute-lft-out`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+`
1×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

31.0ms	(* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x))))
9.0ms	(log (+ 1.0 (exp x)))
9.0ms	(log (+ 1.0 (exp x)))
9.0ms	(log (+ 1.0 (exp x)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x))))
69.0ms	(log (+ 1.0 (exp x)))
68.0ms	(log (+ 1.0 (exp x)))
68.0ms	(log (+ 1.0 (exp x)))

simplify1.1s

Counts

95 → 95

Iterations

Iter	Nodes
done	5002
2	1249
1	227
0	90

prune481.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ 1.0 (exp x))
1.4b	(log (sqrt (+ 1.0 (exp x))))
1.4b	(log (sqrt (+ 1.0 (exp x))))

rewrite33.0ms

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-+` `distribute-lft-out`
2×	`+-commutative` `sum-log` `sqrt-pow1` `pow1/2` `rem-log-exp`

Counts

4 → 64

Calls

4 calls:

5.0ms	(+ 1.0 (exp x))
7.0ms	(+ 1.0 (exp x))
9.0ms	(log (sqrt (+ 1.0 (exp x))))
10.0ms	(log (sqrt (+ 1.0 (exp x))))

series331.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ 1.0 (exp x))
13.0ms	(+ 1.0 (exp x))
153.0ms	(log (sqrt (+ 1.0 (exp x))))
151.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify1.0s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	1885
2	435
1	156
0	80

prune316.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (* x x))
0.0b	(+ (+ x 2.0) (* 1/2 (* x x)))
0.0b	(- (log (+ (+ x 2.0) (* 1/2 (* x x)))) (* x y))
7.1b	(log (+ (+ x 2.0) (* 1/2 (* x x))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-log-exp`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`log-prod`
4×	`log-div`
3×	`sum-log` `flip3-+` `associate-l` `pow-prod-down` `prod-exp` `associate--l+` `cbrt-unprod` `flip-+`
2×	`associate--l-`
1×	`+-commutative` `associate-+l+` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `associate-r` `log-pow` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

14.0ms	(* 1/2 (* x x))
24.0ms	(+ (+ x 2.0) (* 1/2 (* x x)))
27.0ms	(- (log (+ (+ x 2.0) (* 1/2 (* x x)))) (* x y))
27.0ms	(log (+ (+ x 2.0) (* 1/2 (* x x))))

series263.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* 1/2 (* x x))
27.0ms	(+ (+ x 2.0) (* 1/2 (* x x)))
112.0ms	(- (log (+ (+ x 2.0) (* 1/2 (* x x)))) (* x y))
84.0ms	(log (+ (+ x 2.0) (* 1/2 (* x x))))

simplify1.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5002
2	1954
1	381
0	139

prune451.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

regimes123.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.2s	2458×	body	10240	exit
829.0ms	8346×	body	80	valid
115.0ms	261×	body	640	valid
96.0ms	122×	body	1280	valid
49.0ms	196×	body	320	valid
17.0ms	113×	body	160	valid