Details

sample135.0ms

Algorithm

intervals

Results

79.0ms	68×	body	10240	exit
27.0ms	265×	body	80	valid
6.0ms	6×	body	1280	valid
5.0ms	8×	body	640	valid
1.0ms	5×	body	160	valid
1.0ms	3×	body	320	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	14
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:

5.0ms	(+ 1 (exp x))
10.0ms	(- (log (+ 1 (exp x))) (* x y))
8.0ms	(log (+ 1 (exp x)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ 1 (exp x))
72.0ms	(- (log (+ 1 (exp x))) (* x y))
93.0ms	(log (+ 1 (exp x)))

simplify1.2s

Counts

57 → 57

Iterations

Iter	Nodes
done	2000
4	2000
3	1486
2	480
1	194
0	84

prune476.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (log (* (exp (exp x)) E))) (* x y))
0.0b	(log (log (* (exp (exp x)) E)))
0.0b	(exp (exp x))
0.6b	(* (exp (exp x)) E)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1`
11×	`add-sqr-sqrt`
10×	`log-prod`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate--l+` `log-pow`
4×	`insert-posit16`
3×	`exp-prod` `associate-r` `associate-l` `pow-prod-down`
2×	`prod-exp`
1×	`e-exp-1` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr` `rem-exp-log`

Counts

4 → 65

Calls

4 calls:

13.0ms	(- (log (log (* (exp (exp x)) E))) (* x y))
12.0ms	(log (log (* (exp (exp x)) E)))
5.0ms	(exp (exp x))
31.0ms	(* (exp (exp x)) E)

series503.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(- (log (log (* (exp (exp x)) E))) (* x y))
186.0ms	(log (log (* (exp (exp x)) E)))
46.0ms	(exp (exp x))
54.0ms	(* (exp (exp x)) E)

simplify1.0s

Counts

77 → 77

Iterations

Iter	Nodes
done	2004
3	2004
2	607
1	235
0	108

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
0.9b	(log (sqrt (+ 1 (exp x))))
0.9b	(log (sqrt (+ 1 (exp x))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

5.0ms	(+ 1 (exp x))
50.0ms	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
4.0ms	(log (sqrt (+ 1 (exp x))))
4.0ms	(log (sqrt (+ 1 (exp x))))

series442.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ 1 (exp x))
182.0ms	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
120.0ms	(log (sqrt (+ 1 (exp x))))
130.0ms	(log (sqrt (+ 1 (exp x))))

simplify978.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	2022
3	2022
2	775
1	283
0	123

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 2 x) (* (* x x) 1/2))
0.0b	(- (log (+ (+ 2 x) (* (* x x) 1/2))) (* x y))
0.2b	(* (* x x) 1/2)
8.0b	(log (+ (+ 2 x) (* (* x x) 1/2)))

rewrite110.0ms

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` `insert-posit16`
3×	`sum-log` `flip3-+` `associate-r` `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-l` `log-pow` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

41.0ms	(+ (+ 2 x) (* (* x x) 1/2))
22.0ms	(- (log (+ (+ 2 x) (* (* x x) 1/2))) (* x y))
21.0ms	(* (* x x) 1/2)
25.0ms	(log (+ (+ 2 x) (* (* x x) 1/2)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ 2 x) (* (* x x) 1/2))
86.0ms	(- (log (+ (+ 2 x) (* (* x x) 1/2))) (* x y))
44.0ms	(* (* x x) 1/2)
42.0ms	(log (+ (+ 2 x) (* (* x x) 1/2)))

simplify1.1s

Counts

79 → 79

Iterations

Iter	Nodes
done	2027
3	2027
2	1150
1	354
0	135

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes75.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
2	16
1	14
0	10

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.3s	2415×	body	10240	exit
1.2s	8387×	body	80	valid
144.0ms	266×	body	640	valid
124.0ms	138×	body	1280	valid
58.0ms	144×	body	320	valid
23.0ms	109×	body	160	valid