Details

sample29.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify145.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	174
8	174
7	170
6	160
5	136
4	88
3	48
2	27
1	15
0	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize11.0ms

Local error

Found 1 expressions with local error:

13.5b

(/ (* (* x 2.0) y) (- x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-/r*` `times-frac`
3×	`cbrt-undiv` `div-exp` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `flip3--` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `associate-/l*` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

29.0ms

(/ (* (* x 2.0) y) (- x y))

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(/ (* (* x 2.0) y) (- x y))

simplify1.4s

Counts

35 → 35

Iterations

Iter	Nodes
done	5001
2	872
1	223
0	80

prune149.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
6.5b	(* (* 2.0 x) (/ y (- x y)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`associate-r` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/l*`
2×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `associate-l` `associate-r/` `-commutative`

Counts

2 → 84

Calls

2 calls:

11.0ms	(/ y (- x y))
37.0ms	(* (* 2.0 x) (/ y (- x y)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ y (- x y))
80.0ms	(* (* 2.0 x) (/ y (- x y)))

simplify1.7s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1203
1	338
0	122

prune396.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x y))
0.2b	(* y (/ 1 (- x y)))
6.5b	(* (* 2.0 x) (* y (/ 1 (- x y))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-cbrt-cube`
27×	`prod-exp`
23×	`add-cube-cbrt`
22×	`associate-r`
18×	`pow1`
15×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`div-exp`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r*`
4×	`cbrt-undiv` `rec-exp` `1-exp` `associate-l` `associate-*r/` `associate-/r/`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`flip3--` `un-div-inv` `*-commutative` `div-inv` `flip--`
1×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`

Counts

3 → 126

Calls

3 calls:

17.0ms	(/ 1 (- x y))
42.0ms	(* y (/ 1 (- x y)))
65.0ms	(* (* 2.0 x) (* y (/ 1 (- x y))))

series180.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ 1 (- x y))
50.0ms	(* y (/ 1 (- x y)))
90.0ms	(* (* 2.0 x) (* y (/ 1 (- x y))))

simplify1.3s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	1353
1	389
0	155

prune346.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

6.7b	(/ (* x 2.0) (/ (- x y) y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
31×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`associate-/r*` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
6×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
3×	`div-inv`
2×	`prod-exp` `cbrt-unprod`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `associate-/r/` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`

Counts

1 → 61

Calls

1 calls:

28.0ms

(/ (* x 2.0) (/ (- x y) y))

series92.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

(/ (* x 2.0) (/ (- x y) y))

simplify1.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
2	1159
1	369
0	136

prune140.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

98.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 7.0b

bsearch82.0ms

Steps

Iters	Range		Point
9	1.0685497444031966e+52	1.5718858767320834e+57	1.7651574500804557e+52
9	-6.02171750296329e-10	-5.3437485118684624e-15	-2.781519413694764e-10

simplify4.0ms

Iterations

Iter	Nodes
done	23
1	23
0	16

end0.0ms

sample636.0ms

Algorithm

intervals

Results

480.0ms

8000×

body

valid