Details

sample142.0ms

Algorithm

intervals

Results

24.0ms	862×	body	80	nan
10.0ms	256×	body	80	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	9	7
done	9	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize45.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

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:

47.0ms	(- (/ 1.0 x) 1.0)
19.0ms	(log (- (/ 1.0 x) 1.0))

series217.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(- (/ 1.0 x) 1.0)
142.0ms	(log (- (/ 1.0 x) 1.0))

simplify2.8s

Counts

94 → 94

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	157	1601
1	318	1202
2	681	993
3	2424	816
done	5000	720

prune255.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

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))

rewrite253.0ms

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:

116.0ms	(+ (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
95.0ms	(log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
15.0ms	(/ (sqrt 1.0) (sqrt x))
9.0ms	(/ (sqrt 1.0) (sqrt x))

series970.0ms

Counts

4 → 12

Calls

4 calls:

572.0ms	(+ (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
216.0ms	(log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
86.0ms	(/ (sqrt 1.0) (sqrt x))
96.0ms	(/ (sqrt 1.0) (sqrt x))

simplify3.4s

Counts

208 → 208

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	215	3154
1	448	2836
2	1006	2500
3	2513	2474
done	5000	2470

prune769.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(log (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- 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))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

26×	`sqrt-prod`
25×	`add-sqr-sqrt`
20×	`times-frac`
19×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
5×	`add-exp-log`
4×	`expm1-log1p-u` `rem-sqrt-square` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `div-inv`
1×	`rem-log-exp` `log-pow` `fma-udef`

Counts

4 → 78

Calls

4 calls:

3.0ms	(log (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- 1.0)))
8.0ms	(sqrt (/ 1.0 x))
9.0ms	(sqrt (/ 1.0 x))
1.0ms	(fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- 1.0))

series909.0ms

Counts

4 → 12

Calls

4 calls:

496.0ms	(log (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- 1.0)))
76.0ms	(sqrt (/ 1.0 x))
77.0ms	(sqrt (/ 1.0 x))
260.0ms	(fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- 1.0))

simplify2.8s

Counts

90 → 90

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	165	1176
1	363	948
2	986	793
3	3433	762
done	5000	761

prune346.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	20
1	16	20
2	17	20
done	17	20

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	23815×	body	80	nan
508.0ms	8000×	body	80	valid