Details

sample121.0ms

Algorithm

intervals

Results

61.0ms	66×	body	10240	exit
27.0ms	264×	body	80	valid
8.0ms	9×	body	1280	valid
4.0ms	7×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	2×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	14
0	8

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(- (log (+ 1 (exp x))) (* x y))
0.5b	(log (+ 1 (exp x)))

rewrite38.0ms

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:

10.0ms	(+ 1 (exp x))
19.0ms	(- (log (+ 1 (exp x))) (* x y))
8.0ms	(log (+ 1 (exp x)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ 1 (exp x))
87.0ms	(- (log (+ 1 (exp x))) (* x y))
85.0ms	(log (+ 1 (exp x)))

simplify3.4s

Counts

57 → 57

Iterations

Iter	Nodes
done	5025
4	4399
3	1486
2	480
1	194
0	84

prune246.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (+ 1 (exp x)))
0.2b	(sqrt (+ 1 (exp x)))
0.9b	(log (sqrt (+ 1 (exp x))))
0.9b	(log (sqrt (+ 1 (exp x))))

rewrite26.0ms

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-+` `add-cbrt-cube` `pow1/2` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 76

Calls

4 calls:

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

series475.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sqrt (+ 1 (exp x)))
50.0ms	(sqrt (+ 1 (exp x)))
189.0ms	(log (sqrt (+ 1 (exp x))))
189.0ms	(log (sqrt (+ 1 (exp x))))

simplify2.7s

Counts

88 → 88

Iterations

Iter	Nodes
done	5190
4	4519
3	1272
2	432
1	165
0	86

prune452.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ x 2) x) (+ 2 x))
0.0b	(- (log (+ (* (/ x 2) x) (+ 2 x))) (* x y))
6.3b	(log (+ (* (/ x 2) x) (+ 2 x)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
8×	`log-div`
6×	`log-prod` `flip3-+` `associate-*l/` `frac-add` `flip-+`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate--l-` `pow1` `add-exp-log`
3×	`sum-log` `add-cbrt-cube` `associate--l+` `insert-posit16`
1×	`+-commutative` `associate-+r+` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 53

Calls

3 calls:

18.0ms	(+ (* (/ x 2) x) (+ 2 x))
27.0ms	(- (log (+ (* (/ x 2) x) (+ 2 x))) (* x y))
13.0ms	(log (+ (* (/ x 2) x) (+ 2 x)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* (/ x 2) x) (+ 2 x))
85.0ms	(- (log (+ (* (/ x 2) x) (+ 2 x))) (* x y))
51.0ms	(log (+ (* (/ x 2) x) (+ 2 x)))

simplify1.8s

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
2	1248
1	363
0	132

prune247.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ 2 x) (* (/ x 2) x))
0.0b	(- (log (+ (+ 2 x) (* (/ x 2) x))) (* x y))
6.3b	(log (+ (+ 2 x) (* (/ x 2) x)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
8×	`log-div`
6×	`log-prod` `flip3-+` `associate-*l/` `frac-add` `flip-+`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate--l-` `pow1` `add-exp-log`
3×	`sum-log` `add-cbrt-cube` `associate--l+` `insert-posit16`
1×	`+-commutative` `associate-+l+` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 53

Calls

3 calls:

19.0ms	(+ (+ 2 x) (* (/ x 2) x))
16.0ms	(- (log (+ (+ 2 x) (* (/ x 2) x))) (* x y))
15.0ms	(log (+ (+ 2 x) (* (/ x 2) x)))

series152.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (+ 2 x) (* (/ x 2) x))
88.0ms	(- (log (+ (+ 2 x) (* (/ x 2) x))) (* x y))
38.0ms	(log (+ (+ 2 x) (* (/ x 2) x)))

simplify1.4s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	1116
1	345
0	132

prune365.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes90.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	10

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.2s	2442×	body	10240	exit
1.3s	8461×	body	80	valid
118.0ms	241×	body	640	valid
114.0ms	139×	body	1280	valid
53.0ms	169×	body	320	valid
17.0ms	89×	body	160	valid