Details

sample25.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	14
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
41×	`times-frac`
40×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
12×	`distribute-lft-out`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`difference-of-squares`
7×	`add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`pow1` `difference-of-sqr-1` `associate-/r/`
3×	`div-exp` `insert-posit16` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`+-commutative` `rec-exp` `sum-log` `flip3--` `1-exp` `frac-add` `pow-flip` `flip--` `inv-pow`

Counts

3 → 103

Calls

3 calls:

16.0ms	(/ x (+ x 1))
18.0ms	(/ 1 (- x 1))
59.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series126.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ x (+ x 1))
15.0ms	(/ 1 (- x 1))
85.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify1.1s

Counts

112 → 112

Iterations

Iter	Nodes
done	5003
2	1276
1	386
0	170

prune331.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ x (+ 1 x)) (* (/ x (+ 1 x)) (/ x (+ 1 x))))
0.1b	(/ (/ 1 (- x 1)) (- x 1))
0.1b	(/ (/ 1 (- x 1)) (- x 1))
0.1b	(* (/ (/ 1 (- x 1)) (- x 1)) (/ 1 (- x 1)))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

1109×	`times-frac`
1027×	`add-sqr-sqrt`
839×	`*-un-lft-identity`
360×	`add-cube-cbrt`
310×	`difference-of-squares`
213×	`associate-l`
155×	`difference-of-sqr-1` `distribute-lft-out--`
128×	`add-exp-log`
76×	`add-cbrt-cube`
59×	`div-exp`
56×	`associate-/r/`
54×	`associate-/l*`
38×	`prod-exp`
34×	`pow1`
32×	`div-inv`
28×	`cbrt-undiv` `associate-r`
27×	`flip3--` `flip--`
24×	`cbrt-unprod`
17×	`unswap-sqr`
14×	`associate-/r*`
11×	`rec-exp` `1-exp`
9×	`pow-prod-up`
8×	`pow-div`
6×	`frac-times` `associate-*r/` `pow-flip` `inv-pow`
4×	`pow-prod-down` `associate-*l/` `insert-posit16` `add-log-exp`
3×	`distribute-lft-out`
2×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`pow2` `flip3-+` `pow-plus` `cube-unmult` `pow3` `pow-sqr` `un-div-inv` `flip-+`

Counts

4 → 836

Calls

4 calls:

52.0ms	(* (/ x (+ 1 x)) (* (/ x (+ 1 x)) (/ x (+ 1 x))))
28.0ms	(/ (/ 1 (- x 1)) (- x 1))
33.0ms	(/ (/ 1 (- x 1)) (- x 1))
66.0ms	(* (/ (/ 1 (- x 1)) (- x 1)) (/ 1 (- x 1)))

series112.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (/ x (+ 1 x)) (* (/ x (+ 1 x)) (/ x (+ 1 x))))
20.0ms	(/ (/ 1 (- x 1)) (- x 1))
20.0ms	(/ (/ 1 (- x 1)) (- x 1))
26.0ms	(* (/ (/ 1 (- x 1)) (- x 1)) (/ 1 (- x 1)))

simplify1.9s

Counts

848 → 848

Iterations

Iter	Nodes
done	5001
1	2036
0	612

prune3.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1) (+ x 1))
0.0b	(+ (* 1 (+ x 1)) (* (- x 1) x))
0.0b	(* (- x 1) x)
12.6b	(/ (+ (* 1 (+ x 1)) (* (- x 1) x)) (* (- x 1) (+ x 1)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
14×	`associate-l` `associate-*l/`
13×	`add-cbrt-cube` `add-exp-log`
12×	`flip3-+` `associate-*r/` `flip-+`
11×	`flip3--` `flip--`
10×	`add-cube-cbrt`
8×	`frac-times` `pow1` `frac-add` `associate-/r/`
7×	`associate-r`
6×	`add-log-exp` `associate-/l/`
4×	`insert-posit16` `difference-of-squares`
3×	`times-frac` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`distribute-rgt-in` `cbrt-undiv` `associate-+l+` `distribute-lft-in` `difference-of-sqr-1` `div-exp` `pow-prod-down` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `div-inv` `distribute-lft-out`

Counts

4 → 113

Calls

4 calls:

32.0ms	(* (- x 1) (+ x 1))
26.0ms	(+ (* 1 (+ x 1)) (* (- x 1) x))
32.0ms	(* (- x 1) x)
68.0ms	(/ (+ (* 1 (+ x 1)) (* (- x 1) x)) (* (- x 1) (+ x 1)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (- x 1) (+ x 1))
58.0ms	(+ (* 1 (+ x 1)) (* (- x 1) x))
49.0ms	(* (- x 1) x)
85.0ms	(/ (+ (* 1 (+ x 1)) (* (- x 1) x)) (* (- x 1) (+ x 1)))

simplify2.1s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2665
1	629
0	185

prune487.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	15

end0.0ms

sample801.0ms

Algorithm

intervals

Results

693.0ms

8000×

body

valid