Details

sample73.0ms

Algorithm

intervals

Results

28.0ms	61×	body	10240	exit
20.0ms	260×	body	80	valid
5.0ms	9×	body	1280	valid
2.0ms	8×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	2×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.3b	(log (+ 1.0 (exp x)))

rewrite40.0ms

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:

10.0ms	(+ 1.0 (exp x))
19.0ms	(- (log (+ 1.0 (exp x))) (* x y))
9.0ms	(log (+ 1.0 (exp x)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ 1.0 (exp x))
89.0ms	(- (log (+ 1.0 (exp x))) (* x y))
100.0ms	(log (+ 1.0 (exp x)))

simplify1.7s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
3	3089
2	648
1	211
0	92

prune271.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

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`
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 → 70

Calls

4 calls:

6.0ms	(+ 1.0 (exp x))
79.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
6.0ms	(log (sqrt (+ 1.0 (exp x))))
6.0ms	(log (sqrt (+ 1.0 (exp x))))

series465.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ 1.0 (exp x))
176.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
145.0ms	(log (sqrt (+ 1.0 (exp x))))
130.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify954.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	964
1	277
0	122

prune421.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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:

6.0ms	(+ 1.0 (exp x))
5.0ms	(+ 1.0 (exp x))
5.0ms	(log (sqrt (+ 1.0 (exp x))))
5.0ms	(log (sqrt (+ 1.0 (exp x))))

series286.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1.0 (exp x))
11.0ms	(+ 1.0 (exp x))
142.0ms	(log (sqrt (+ 1.0 (exp x))))
124.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify1.0s

Counts

76 → 76

Iterations

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

prune501.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* x x) 1/2)
0.0b	(- (log (+ (+ (* (* x x) 1/2) 2.0) x)) (* x y))
5.8b	(log (+ (+ (* (* x x) 1/2) 2.0) x))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

25.0ms	(* (* x x) 1/2)
73.0ms	(- (log (+ (+ (* (* x x) 1/2) 2.0) x)) (* x y))
76.0ms	(log (+ (+ (* (* x x) 1/2) 2.0) x))

series193.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (* x x) 1/2)
93.0ms	(- (log (+ (+ (* (* x x) 1/2) 2.0) x)) (* x y))
56.0ms	(log (+ (+ (* (* x x) 1/2) 2.0) x))

simplify1.3s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	1718
1	337
0	129

prune367.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes101.0ms

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	12
1	12
0	10

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.1s	2501×	body	10240	exit
774.0ms	8406×	body	80	valid
109.0ms	264×	body	640	valid
105.0ms	139×	body	1280	valid
50.0ms	202×	body	320	valid
16.0ms	104×	body	160	valid