Details

sample111.0ms

Algorithm

intervals

Results

63.0ms	62×	body	10240	exit
24.0ms	259×	body	80	valid
5.0ms	8×	body	640	valid
4.0ms	3×	body	1280	valid
1.0ms	2×	body	320	valid
1.0ms	3×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	14
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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:

15.0ms	(- (log (+ 1 (exp x))) (* x y))
8.0ms	(+ 1 (exp x))
7.0ms	(log (+ 1 (exp x)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (log (+ 1 (exp x))) (* x y))
11.0ms	(+ 1 (exp x))
61.0ms	(log (+ 1 (exp x)))

simplify3.1s

Counts

57 → 57

Iterations

Iter	Nodes
done	5047
4	4324
3	1509
2	472
1	194
0	84

prune196.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(+ 1 (exp x))
1.2b	(log (sqrt (+ 1 (exp x))))
1.2b	(log (sqrt (+ 1 (exp x))))

rewrite20.0ms

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-+` `insert-posit16` `distribute-lft-out`
2×	`+-commutative` `sum-log` `sqrt-pow1` `pow1/2` `rem-log-exp`

Counts

4 → 68

Calls

4 calls:

5.0ms	(+ 1 (exp x))
5.0ms	(+ 1 (exp x))
5.0ms	(log (sqrt (+ 1 (exp x))))
5.0ms	(log (sqrt (+ 1 (exp x))))

series327.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ 1 (exp x))
13.0ms	(+ 1 (exp x))
150.0ms	(log (sqrt (+ 1 (exp x))))
153.0ms	(log (sqrt (+ 1 (exp x))))

simplify1.8s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
4	2103
3	968
2	421
1	160
0	80

prune299.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ (* (/ x 2) x) (+ x 2))) (* x y))
0.0b	(+ (* (/ x 2) x) (+ x 2))
7.1b	(log (+ (* (/ x 2) x) (+ x 2)))

rewrite50.0ms

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:

16.0ms	(- (log (+ (* (/ x 2) x) (+ x 2))) (* x y))
15.0ms	(+ (* (/ x 2) x) (+ x 2))
18.0ms	(log (+ (* (/ x 2) x) (+ x 2)))

series109.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (log (+ (* (/ x 2) x) (+ x 2))) (* x y))
18.0ms	(+ (* (/ x 2) x) (+ x 2))
34.0ms	(log (+ (* (/ x 2) x) (+ x 2)))

simplify1.2s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	1251
1	370
0	132

prune330.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (log (+ (* (/ x 2) x) (+ x 2))) (log (+ (* (/ x 2) x) (+ x 2))))
7.1b	(log (+ (* (/ x 2) x) (+ x 2)))
7.1b	(log (+ (* (/ x 2) x) (+ x 2)))
7.1b	(log (+ (* (/ x 2) x) (+ x 2)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
15×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
12×	`log-div`
9×	`add-exp-log` `log-pow`
6×	`flip3-+` `add-cbrt-cube` `swap-sqr` `associate-*l/` `frac-add` `flip-+`
4×	`associate-r` `associate-l` `insert-posit16` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `rem-log-exp`
1×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

46.0ms	(* (log (+ (* (/ x 2) x) (+ x 2))) (log (+ (* (/ x 2) x) (+ x 2))))
18.0ms	(log (+ (* (/ x 2) x) (+ x 2)))
18.0ms	(log (+ (* (/ x 2) x) (+ x 2)))
24.0ms	(log (+ (* (/ x 2) x) (+ x 2)))

series206.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (log (+ (* (/ x 2) x) (+ x 2))) (log (+ (* (/ x 2) x) (+ x 2))))
44.0ms	(log (+ (* (/ x 2) x) (+ x 2)))
43.0ms	(log (+ (* (/ x 2) x) (+ x 2)))
44.0ms	(log (+ (* (/ x 2) x) (+ x 2)))

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	1594
1	473
0	161

prune489.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

regimes49.0ms

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.9s	2288×	body	10240	exit
657.0ms	8318×	body	80	valid
442.0ms	262×	body	640	valid
113.0ms	147×	body	1280	valid
55.0ms	186×	body	320	valid
19.0ms	108×	body	160	valid