Details

sample101.0ms

Algorithm

intervals

Results

54.0ms	68×	body	10240	exit
22.0ms	265×	body	80	valid
6.0ms	6×	body	1280	valid
4.0ms	8×	body	640	valid
1.0ms	3×	body	320	valid
1.0ms	5×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	19
2	19
1	12
0	8

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

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)))

rewrite39.0ms

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)))

series170.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ 1 (exp x))
58.0ms	(- (log (+ 1 (exp x))) (* x y))
97.0ms	(log (+ 1 (exp x)))

simplify2.0s

Counts

57 → 57

Iterations

Iter	Nodes
4	3163
3	1087
2	415
1	189
0	84

prune579.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

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)

rewrite55.0ms

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:

24.0ms	(- (log (log (* (exp (exp x)) E))) (* x y))
10.0ms	(log (log (* (exp (exp x)) E)))
4.0ms	(exp (exp x))
16.0ms	(* (exp (exp x)) E)

series574.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(- (log (log (* (exp (exp x)) E))) (* x y))
232.0ms	(log (log (* (exp (exp x)) E)))
39.0ms	(exp (exp x))
46.0ms	(* (exp (exp x)) E)

simplify2.5s

Counts

77 → 77

Iterations

Iter	Nodes
4	4128
3	1551
2	570
1	230
0	108

prune921.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize47.0ms

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))))

rewrite141.0ms

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:

10.0ms	(+ 1 (exp x))
109.0ms	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
10.0ms	(log (sqrt (+ 1 (exp x))))
10.0ms	(log (sqrt (+ 1 (exp x))))

series497.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1 (exp x))
189.0ms	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
156.0ms	(log (sqrt (+ 1 (exp x))))
143.0ms	(log (sqrt (+ 1 (exp x))))

simplify760.0ms

Counts

86 → 86

Iterations

Iter	Nodes
3	2402
2	741
1	278
0	123

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 3 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-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`
2×	`associate--l-` `distribute-lft-out`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 47

Calls

3 calls:

19.0ms	(+ (* x (* x 1/2)) x)
28.0ms	(- (log (+ 2 (+ (* x (* x 1/2)) x))) (* x y))
40.0ms	(log (+ 2 (+ (* x (* x 1/2)) x)))

series230.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (* x (* x 1/2)) x)
84.0ms	(- (log (+ 2 (+ (* x (* x 1/2)) x))) (* x y))
61.0ms	(log (+ 2 (+ (* x (* x 1/2)) x)))

simplify1.4s

Counts

56 → 56

Iterations

Iter	Nodes
3	3051
2	886
1	292
0	115

prune558.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes85.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	12
1	12
0	10

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.3s	2415×	body	10240	exit
1.2s	8387×	body	80	valid
143.0ms	266×	body	640	valid
135.0ms	138×	body	1280	valid
51.0ms	144×	body	320	valid
23.0ms	109×	body	160	valid