Details

sample103.0ms

Algorithm

intervals

Results

59.0ms	86×	body	10240	exit
20.0ms	261×	body	80	valid
5.0ms	7×	body	1280	valid
5.0ms	11×	body	640	valid
2.0ms	6×	body	320	valid
0.0ms	3×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	14
0	8

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(- (log (+ 1 (exp x))) (* x y))
0.7b	(log (+ 1 (exp x)))

rewrite25.0ms

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:

7.0ms	(+ 1 (exp x))
13.0ms	(- (log (+ 1 (exp x))) (* x y))
5.0ms	(log (+ 1 (exp x)))

series111.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ 1 (exp x))
46.0ms	(- (log (+ 1 (exp x))) (* x y))
56.0ms	(log (+ 1 (exp x)))

simplify980.0ms

Counts

57 → 57

Iterations

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

prune224.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize55.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (* (exp x) (exp x)) (- (exp x) 1))
0.5b	(log (+ (pow 1 3) (pow (exp x) 3)))
3.4b	(- (exp x) 1)
4.1b	(log (- (* (exp x) (exp x)) (- (exp x) 1)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
14×	`log-prod`
12×	`add-sqr-sqrt`
11×	`add-log-exp`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `distribute-lft-out`
4×	`log-div` `unpow-prod-down` `add-cbrt-cube` `diff-log` `cube-prod` `insert-posit16` `difference-of-squares`
3×	`sub-neg` `flip3--` `flip--`
2×	`rem-log-exp` `log-pow` `associate--r+`
1×	`cube-mult` `flip3-+` `difference-of-sqr-1` `sum-cubes` `flip-+` `distribute-lft-out--` `associate--r-`

Counts

4 → 73

Calls

4 calls:

34.0ms	(- (* (exp x) (exp x)) (- (exp x) 1))
9.0ms	(log (+ (pow 1 3) (pow (exp x) 3)))
8.0ms	(- (exp x) 1)
36.0ms	(log (- (* (exp x) (exp x)) (- (exp x) 1)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* (exp x) (exp x)) (- (exp x) 1))
100.0ms	(log (+ (pow 1 3) (pow (exp x) 3)))
19.0ms	(- (exp x) 1)
134.0ms	(log (- (* (exp x) (exp x)) (- (exp x) 1)))

simplify905.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	2000
3	2000
2	857
1	320
0	146

prune370.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize59.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (exp x) 1)
3.6b	(log (+ (* (* (exp x) (exp x)) (- (* (* (exp x) (exp x)) (* (exp x) (exp x))) (exp x))) 1))
3.8b	(- (* (* (exp x) (exp x)) (* (exp x) (exp x))) (exp x))
4.1b	(log (- (* (exp x) (exp x)) (- (exp x) 1)))

rewrite655.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`add-log-exp`
7×	`log-prod`
6×	`pow1` `add-exp-log` `add-cube-cbrt`
4×	`log-div` `add-cbrt-cube` `insert-posit16` `difference-of-squares`
3×	`flip3--` `flip--`
2×	`sub-neg` `diff-log` `rem-log-exp` `log-pow`
1×	`flip3-+` `difference-of-sqr-1` `flip-+` `distribute-lft-out--`

Counts

4 → 62

Calls

4 calls:

11.0ms	(- (exp x) 1)
223.0ms	(log (+ (* (* (exp x) (exp x)) (- (* (* (exp x) (exp x)) (* (exp x) (exp x))) (exp x))) 1))
386.0ms	(- (* (* (exp x) (exp x)) (* (exp x) (exp x))) (exp x))
34.0ms	(log (- (* (exp x) (exp x)) (- (exp x) 1)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- (exp x) 1)
188.0ms	(log (+ (* (* (exp x) (exp x)) (- (* (* (exp x) (exp x)) (* (exp x) (exp x))) (exp x))) 1))
55.0ms	(- (* (* (exp x) (exp x)) (* (exp x) (exp x))) (exp x))
131.0ms	(log (- (* (exp x) (exp x)) (- (exp x) 1)))

simplify991.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	2009
3	2009
2	1015
1	375
0	157

prune465.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* x x) 1/2)
0.0b	(- (log (+ (+ 2 x) (* (* x x) 1/2))) (* x y))
0.0b	(+ (+ 2 x) (* (* x x) 1/2))
6.8b	(log (+ (+ 2 x) (* (* x x) 1/2)))

rewrite106.0ms

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:

14.0ms	(* (* x x) 1/2)
26.0ms	(- (log (+ (+ 2 x) (* (* x x) 1/2))) (* x y))
39.0ms	(+ (+ 2 x) (* (* x x) 1/2))
26.0ms	(log (+ (+ 2 x) (* (* x x) 1/2)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* x x) 1/2)
65.0ms	(- (log (+ (+ 2 x) (* (* x x) 1/2))) (* x y))
24.0ms	(+ (+ 2 x) (* (* x x) 1/2))
44.0ms	(log (+ (+ 2 x) (* (* x x) 1/2)))

simplify937.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	2003
3	2003
2	1104
1	345
0	135

prune316.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

regimes98.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	30
1	30
0	22

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.4s	2261×	body	10240	exit
719.0ms	8357×	body	80	valid
182.0ms	323×	body	640	valid
123.0ms	116×	body	1280	valid
60.0ms	195×	body	320	valid
20.0ms	95×	body	160	valid