Details

sample154.0ms

Algorithm

intervals

Results

39.0ms	862×	body	80	nan
17.0ms	256×	body	80	valid

simplify74.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
done	9	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ 1.0 x) 1.0)
0.2b	(log (- (/ 1.0 x) 1.0))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
44×	`add-cube-cbrt`
39×	`prod-diff`
38×	`times-frac`
13×	`fma-neg`
6×	`log-prod`
4×	`div-inv` `add-log-exp` `difference-of-squares`
3×	`pow1` `add-exp-log`
2×	`expm1-log1p-u` `log-div` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

2 → 88

Calls

2 calls:

43.0ms	(- (/ 1.0 x) 1.0)
34.0ms	(log (- (/ 1.0 x) 1.0))

series177.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(- (/ 1.0 x) 1.0)
115.0ms	(log (- (/ 1.0 x) 1.0))

simplify3.2s

Counts

94 → 94

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	157	1601
1	3430	1037
done	5001	1015

prune248.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
0.0b	(log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
0.3b	(/ (sqrt 1.0) (sqrt x))
0.3b	(/ (sqrt 1.0) (sqrt x))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

120×	`add-sqr-sqrt`
110×	`sqrt-prod`
88×	`times-frac`
74×	`*-un-lft-identity`
64×	`add-cube-cbrt`
32×	`log-prod`
20×	`difference-of-squares`
14×	`associate-+r+`
12×	`associate-/r` `associate-/l`
10×	`pow1`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`log-div` `log-pow`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `associate-+l-` `associate-+r-` `sqrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `distribute-lft-out--`
1×	`+-commutative` `rem-log-exp` `sum-log`

Counts

4 → 196

Calls

4 calls:

82.0ms	(+ (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
50.0ms	(log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
16.0ms	(/ (sqrt 1.0) (sqrt x))
24.0ms	(/ (sqrt 1.0) (sqrt x))

series899.0ms

Counts

4 → 12

Calls

4 calls:

406.0ms	(+ (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
259.0ms	(log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
104.0ms	(/ (sqrt 1.0) (sqrt x))
129.0ms	(/ (sqrt 1.0) (sqrt x))

simplify3.2s

Counts

208 → 208

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	215	3154
1	1738	2780
done	5000	2503

prune746.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(log (+ (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- 1.0)) (+ 1.0 (- 1.0))))
0.4b	(sqrt (/ 1.0 x))
0.4b	(sqrt (/ 1.0 x))
0.5b	(fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- 1.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
26×	`sqrt-prod`
25×	`add-sqr-sqrt`
20×	`times-frac`
19×	`add-cube-cbrt`
7×	`pow1`
6×	`log-prod`
5×	`add-exp-log` `distribute-lft-out`
4×	`expm1-log1p-u` `rem-sqrt-square` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `sqrt-pow1` `pow1/2` `sqrt-div` `div-inv`
1×	`distribute-rgt-neg-in` `flip3-+` `rem-log-exp` `log-pow` `flip-+` `fma-udef`

Counts

4 → 83

Calls

4 calls:

49.0ms	(log (+ (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- 1.0)) (+ 1.0 (- 1.0))))
4.0ms	(sqrt (/ 1.0 x))
4.0ms	(sqrt (/ 1.0 x))
0.0ms	(fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- 1.0))

series920.0ms

Counts

4 → 12

Calls

4 calls:

509.0ms	(log (+ (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- 1.0)) (+ 1.0 (- 1.0))))
87.0ms	(sqrt (/ 1.0 x))
71.0ms	(sqrt (/ 1.0 x))
254.0ms	(fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- 1.0))

simplify34.6s

Counts

95 → 95

Iterations

Useful iterations: done (34.6s)

Iter	Nodes	Cost
0	184	1451
1	2006	1026
done	5002	902

prune496.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	20
1	17	20
done	17	20

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	23815×	body	80	nan
958.0ms	8000×	body	80	valid