Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	16	7
3	18	7
done	18	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 54

Calls

1 calls:

32.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify3.2s

Counts

57 → 57

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	105	756
1	265	724
2	888	694
3	4978	691
done	5000	691

prune177.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`associate-/r/`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

2 → 78

Calls

2 calls:

12.0ms	(/ y (- 1.0 y))
16.0ms	(/ x (- 1.0 y))

series97.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ y (- 1.0 y))
38.0ms	(/ x (- 1.0 y))

simplify910.0ms

Counts

84 → 84

Iterations

Useful iterations: done (906.0ms)

Iter	Nodes	Cost
0	145	882
1	319	834
2	1192	791
done	5000	787

prune281.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 y))
0.1b	(* (/ 1 (sqrt (- 1.0 y))) (/ y (sqrt (- 1.0 y))))
0.1b	(/ 1 (sqrt (- 1.0 y)))
0.1b	(/ y (sqrt (- 1.0 y)))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

146×	`add-sqr-sqrt`
118×	`times-frac`
105×	`*-un-lft-identity`
86×	`sqrt-prod`
69×	`add-cube-cbrt`
32×	`add-exp-log`
30×	`associate-r` `associate-l`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`
11×	`div-exp`
10×	`sqrt-div`
9×	`pow1`
8×	`prod-exp` `associate-/r/`
6×	`cbrt-undiv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`rec-exp` `pow-flip` `1-exp`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`frac-times` `rem-sqrt-square` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 228

Calls

4 calls:

10.0ms	(sqrt (- 1.0 y))
100.0ms	(* (/ 1 (sqrt (- 1.0 y))) (/ y (sqrt (- 1.0 y))))
30.0ms	(/ 1 (sqrt (- 1.0 y)))
26.0ms	(/ y (sqrt (- 1.0 y)))

series376.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sqrt (- 1.0 y))
52.0ms	(* (/ 1 (sqrt (- 1.0 y))) (/ y (sqrt (- 1.0 y))))
88.0ms	(/ 1 (sqrt (- 1.0 y)))
175.0ms	(/ y (sqrt (- 1.0 y)))

simplify3.3s

Counts

240 → 240

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	278	3533
1	785	3154
2	4928	2805
done	5000	2804

prune733.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
15.3b	(/ (- x y) (- (* 1.0 1.0) (* y y)))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
41×	`times-frac`
26×	`associate-l`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
5×	`associate-/l*`
4×	`pow1` `associate-r` `associate-/r*` `associate-/r/`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-lft-out`

Counts

2 → 102

Calls

2 calls:

111.0ms	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
54.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

series220.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
133.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

simplify2.2s

Counts

108 → 108

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	182	1987
1	675	1946
2	3791	1791
done	5000	1790

prune279.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
done	7	11

end0.0ms

sample690.0ms

Algorithm

intervals

Results

291.0ms	7997×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	320	valid