Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
3	18
2	16
1	12
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
13×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
3×	`add-cbrt-cube` `add-exp-log`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 54

Calls

1 calls:

36.0ms

(/ (- x y) (- 1.0 y))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(/ (- x y) (- 1.0 y))

simplify2.5s

Counts

57 → 57

Iterations

Iter	Nodes
done	5002
3	2516
2	705
1	264
0	105

prune313.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
22×	`add-cube-cbrt`
10×	`associate-/r*`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`associate-/r/`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

2 → 78

Calls

2 calls:

8.0ms	(/ y (- 1.0 y))
8.0ms	(/ x (- 1.0 y))

series89.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ y (- 1.0 y))
49.0ms	(/ x (- 1.0 y))

simplify2.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	3116
2	981
1	320
0	145

prune393.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 y))
0.0b	(sqrt (- 1.0 y))
0.0b	(/ x (- 1.0 y))
0.2b	(/ y (sqrt (- 1.0 y)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
39×	`times-frac`
33×	`add-cube-cbrt`
30×	`sqrt-prod`
13×	`associate-/r*`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `sqrt-div` `associate-/l*`
4×	`expm1-log1p-u` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

4 → 128

Calls

4 calls:

21.0ms	(sqrt (- 1.0 y))
16.0ms	(sqrt (- 1.0 y))
10.0ms	(/ x (- 1.0 y))
9.0ms	(/ y (sqrt (- 1.0 y)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sqrt (- 1.0 y))
35.0ms	(sqrt (- 1.0 y))
43.0ms	(/ x (- 1.0 y))
181.0ms	(/ y (sqrt (- 1.0 y)))

simplify2.4s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
3	4685
2	1358
1	423
0	202

prune701.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y y) (* 1.0 y))
0.1b	(* (* y y) y)
4.1b	(/ (- x y) (- (* (* 1.0 1.0) 1.0) (* (* y y) y)))
15.2b	(* (/ (- x y) (- (* (* 1.0 1.0) 1.0) (* (* y y) y))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite338.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
41×	`times-frac`
27×	`associate-l` `add-cube-cbrt`
25×	`pow1`
23×	`pow3`
16×	`add-cbrt-cube` `add-exp-log`
11×	`difference-cubes`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`pow-plus` `associate-r` `pow-prod-up` `add-log-exp`
5×	`prod-exp` `cbrt-unprod` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r*` `pow-prod-down` `associate-/r/` `log1p-expm1-u`
3×	`flip3-+` `flip3--` `flip-+` `flip--` `unswap-sqr`
2×	`pow2` `frac-times` `cbrt-undiv` `div-exp` `associate-r/` `pow-sqr` `-commutative` `div-inv` `associate-/l/`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `distribute-lft-in` `distribute-rgt-out` `div-sub` `associate-*l/`

Counts

4 → 146

Calls

4 calls:

12.0ms	(+ (* y y) (* 1.0 y))
16.0ms	(* (* y y) y)
55.0ms	(/ (- x y) (- (* (* 1.0 1.0) 1.0) (* (* y y) y)))
245.0ms	(* (/ (- x y) (- (* (* 1.0 1.0) 1.0) (* (* y y) y))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series437.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ (* y y) (* 1.0 y))
53.0ms	(* (* y y) y)
122.0ms	(/ (- x y) (- (* (* 1.0 1.0) 1.0) (* (* y y) y)))
160.0ms	(* (/ (- x y) (- (* (* 1.0 1.0) 1.0) (* (* y y) y))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify3.3s

Counts

158 → 158

Iterations

Iter	Nodes
done	5001
2	3283
1	868
0	235

prune746.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
0	7

end0.0ms

sample524.0ms

Algorithm

intervals

Results

309.0ms

8000×

body

valid