Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	12	11
done	12	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
50×	`times-frac`
45×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
21×	`fma-def`
11×	`distribute-lft-out`
9×	`associate-/r*` `distribute-lft-out--`
7×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `flip--`
1×	`+-commutative` `sum-log` `frac-add`

Counts

3 → 114

Calls

3 calls:

15.0ms	(/ x (+ x 1.0))
94.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
9.0ms	(/ 1.0 (- x 1.0))

series287.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ x (+ x 1.0))
179.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
44.0ms	(/ 1.0 (- x 1.0))

simplify1.5s

Counts

123 → 123

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	175	1183
1	431	1100
2	1736	1043
done	5000	1040

prune459.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (expm1 (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))
0.5b	(expm1 (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
38×	`times-frac`
37×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
21×	`fma-def`
9×	`distribute-lft-out--`
7×	`distribute-lft-out` `difference-of-squares`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate-/r*` `log1p-expm1-u`
4×	`expm1-log1p-u` `pow1` `associate-/r/`
3×	`associate-/l*`
2×	`flip3--` `div-inv` `flip--`
1×	`cbrt-undiv` `+-commutative` `log1p-udef` `expm1-log1p` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `frac-add` `log1p-expm1` `flip-+` `expm1-udef`

Counts

4 → 101

Calls

4 calls:

0.0ms	(log1p (expm1 (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
77.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
13.0ms	(/ 1.0 (- x 1.0))
0.0ms	(expm1 (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))

series973.0ms

Counts

4 → 12

Calls

4 calls:

432.0ms	(log1p (expm1 (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
194.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
30.0ms	(/ 1.0 (- x 1.0))
318.0ms	(expm1 (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))

simplify771.0ms

Counts

113 → 113

Iterations

Useful iterations: done (768.0ms)

Iter	Nodes	Cost
0	164	1266
1	403	1183
2	1456	1085
done	5000	1076

prune582.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x 1.0) x)
0.0b	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
0.0b	(/ 1.0 (- x 1.0))
0.3b	(/ 1 (/ (+ x 1.0) x))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

142×	`times-frac`
139×	`*-un-lft-identity`
95×	`add-sqr-sqrt`
81×	`add-cube-cbrt`
24×	`associate-/r*`
21×	`fma-def`
20×	`distribute-lft-out`
19×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`associate-/l*`
9×	`div-exp` `div-inv`
8×	`distribute-lft-out--`
7×	`difference-of-squares`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv` `associate-/r/`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`clear-num` `frac-2neg`
2×	`rec-exp` `flip3-+` `flip3--` `1-exp` `flip-+` `flip--` `associate-/l/`
1×	`+-commutative` `sum-log` `frac-add` `pow-flip` `inv-pow`

Counts

4 → 203

Calls

4 calls:

22.0ms	(/ (+ x 1.0) x)
131.0ms	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
18.0ms	(/ 1.0 (- x 1.0))
21.0ms	(/ 1 (/ (+ x 1.0) x))

series369.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ (+ x 1.0) x)
181.0ms	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
35.0ms	(/ 1.0 (- x 1.0))
64.0ms	(/ 1 (/ (+ x 1.0) x))

simplify2.1s

Counts

215 → 215

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	276	2556
1	721	2189
2	3879	2080
done	5000	2077

prune663.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	11	13
done	11	13

end0.0ms

sample601.0ms

Algorithm

intervals

Results

431.0ms

8000×

body

valid