Details

sample80.0ms

Algorithm

intervals

Results

46.0ms	77×	body	10240	exit
19.0ms	290×	body	80	valid
4.0ms	10×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	21
2	21
1	14
0	8

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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:

9.0ms	(+ 1 (exp x))
18.0ms	(- (log (+ 1 (exp x))) (* x y))
8.0ms	(log (+ 1 (exp x)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ 1 (exp x))
60.0ms	(- (log (+ 1 (exp x))) (* x y))
88.0ms	(log (+ 1 (exp x)))

simplify1.4s

Counts

57 → 57

Iterations

Iter	Nodes
4	3148
3	1064
2	410
1	190
0	84

prune560.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1 (exp x)))
0.0b	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
1.0b	(log (sqrt (+ 1 (exp x))))
1.0b	(log (sqrt (+ 1 (exp x))))

rewrite113.0ms

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` `insert-posit16`
3×	`sqrt-pow1` `pow1/2` `distribute-lft-out`
2×	`associate-+r-` `diff-log` `rem-log-exp` `associate-+l-`
1×	`rem-sqrt-square` `sum-log` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 78

Calls

4 calls:

12.0ms	(sqrt (+ 1 (exp x)))
81.0ms	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
9.0ms	(log (sqrt (+ 1 (exp x))))
9.0ms	(log (sqrt (+ 1 (exp x))))

series482.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt (+ 1 (exp x)))
174.0ms	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
122.0ms	(log (sqrt (+ 1 (exp x))))
156.0ms	(log (sqrt (+ 1 (exp x))))

simplify811.0ms

Counts

90 → 90

Iterations

Iter	Nodes
3	2622
2	806
1	283
0	128

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

1.0b	(log (sqrt (+ 1 (exp x))))
1.0b	(log (sqrt (+ (pow 1 3) (pow (exp x) 3))))
5.5b	(+ (exp x) -1)
5.6b	(log (sqrt (- (* (+ (exp x) -1) (exp x)) -1)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

26×	`log-prod`
25×	`*-un-lft-identity`
17×	`sqrt-prod`
11×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
9×	`log-pow`
8×	`distribute-lft-out`
7×	`add-exp-log`
6×	`log-div` `sqrt-div` `add-log-exp`
4×	`unpow-prod-down` `add-cbrt-cube` `cube-prod` `insert-posit16`
3×	`sqrt-pow1` `flip3-+` `pow1/2` `rem-log-exp` `flip-+`
1×	`cube-mult` `+-commutative` `difference-of-sqr--1` `sum-log` `flip3--` `sum-cubes` `flip--`

Counts

4 → 82

Calls

4 calls:

8.0ms	(log (sqrt (+ 1 (exp x))))
18.0ms	(log (sqrt (+ (pow 1 3) (pow (exp x) 3))))
14.0ms	(+ (exp x) -1)
26.0ms	(log (sqrt (- (* (+ (exp x) -1) (exp x)) -1)))

series479.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(log (sqrt (+ 1 (exp x))))
191.0ms	(log (sqrt (+ (pow 1 3) (pow (exp x) 3))))
14.0ms	(+ (exp x) -1)
140.0ms	(log (sqrt (- (* (+ (exp x) -1) (exp x)) -1)))

simplify925.0ms

Counts

94 → 94

Iterations

Iter	Nodes
3	2028
2	858
1	400
0	208

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize117.0ms

Local error

Found 4 expressions with local error:

1.0b	(log (sqrt (+ 1 (exp x))))
1.0b	(log (sqrt (+ (pow 1 3) (pow (exp x) 3))))
5.5b	(+ (exp x) -1)
5.6b	(log (sqrt (- (* (+ (exp x) -1) (exp x)) -1)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

26×	`log-prod`
25×	`*-un-lft-identity`
17×	`sqrt-prod`
11×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
9×	`log-pow`
8×	`distribute-lft-out`
7×	`add-exp-log`
6×	`log-div` `sqrt-div` `add-log-exp`
4×	`unpow-prod-down` `add-cbrt-cube` `cube-prod` `insert-posit16`
3×	`sqrt-pow1` `flip3-+` `pow1/2` `rem-log-exp` `flip-+`
1×	`cube-mult` `+-commutative` `difference-of-sqr--1` `sum-log` `flip3--` `sum-cubes` `flip--`

Counts

4 → 82

Calls

4 calls:

4.0ms	(log (sqrt (+ 1 (exp x))))
12.0ms	(log (sqrt (+ (pow 1 3) (pow (exp x) 3))))
14.0ms	(+ (exp x) -1)
47.0ms	(log (sqrt (- (* (+ (exp x) -1) (exp x)) -1)))

series485.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(log (sqrt (+ 1 (exp x))))
171.0ms	(log (sqrt (+ (pow 1 3) (pow (exp x) 3))))
15.0ms	(+ (exp x) -1)
158.0ms	(log (sqrt (- (* (+ (exp x) -1) (exp x)) -1)))

simplify1.2s

Counts

94 → 94

Iterations

Iter	Nodes
3	2028
2	858
1	400
0	208

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes67.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
2	36
1	36
0	26

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.4s	2389×	body	10240	exit
1.1s	8408×	body	80	valid
135.0ms	248×	body	640	valid
102.0ms	118×	body	1280	valid
69.0ms	201×	body	320	valid
20.0ms	99×	body	160	valid