Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify126.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	17	9
2	28	9
3	40	9
4	50	9
5	66	9
6	83	9
7	94	9
8	101	9
9	110	9
10	115	9
11	117	9
12	121	9
done	121	9

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) (- 2.0 (+ x y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
14×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`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 → 60

Calls

1 calls:

21.0ms

(/ (- x y) (- 2.0 (+ x y)))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(/ (- x y) (- 2.0 (+ x y)))

simplify1.1s

Counts

63 → 63

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	114	1010
1	283	965
2	715	923
3	2025	921
done	5002	919

prune102.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- 2.0 (+ x y)))
0.0b	(/ x (- 2.0 (+ x y)))
0.0b	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

1352×	`*-un-lft-identity`
946×	`times-frac`
843×	`add-sqr-sqrt`
576×	`prod-diff`
517×	`add-cube-cbrt`
335×	`distribute-lft-out--`
161×	`distribute-lft-out` `difference-of-squares`
106×	`associate-/r/`
54×	`flip3--` `flip--`
53×	`div-inv`
24×	`fma-neg`
12×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 722

Calls

3 calls:

16.0ms	(/ y (- 2.0 (+ x y)))
14.0ms	(/ x (- 2.0 (+ x y)))
151.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series157.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ y (- 2.0 (+ x y)))
44.0ms	(/ x (- 2.0 (+ x y)))
67.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify1.4s

Counts

731 → 731

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	580	44551
1	1285	39894
2	3087	31471
done	5000	31397

prune942.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (expm1 (/ x (- 2.0 (+ x y)))))
0.0b	(/ y (- 2.0 (+ x y)))
0.0b	(- (log1p (expm1 (/ x (- 2.0 (+ x y))))) (/ y (- 2.0 (+ x y))))
0.0b	(/ x (- 2.0 (+ x y)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

168×	`*-un-lft-identity`
120×	`add-sqr-sqrt`
91×	`times-frac`
81×	`add-cube-cbrt`
72×	`prod-diff`
35×	`distribute-lft-out--`
19×	`difference-of-squares`
17×	`distribute-lft-out`
12×	`associate-/r*`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
6×	`flip3--` `flip--` `associate-/l*`
5×	`div-inv`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg`
2×	`cbrt-undiv` `log1p-udef` `frac-2neg` `diff-log` `div-exp` `clear-num`
1×	`sub-neg` `log1p-expm1`

Counts

4 → 190

Calls

4 calls:

0.0ms	(log1p (expm1 (/ x (- 2.0 (+ x y)))))
14.0ms	(/ y (- 2.0 (+ x y)))
38.0ms	(- (log1p (expm1 (/ x (- 2.0 (+ x y))))) (/ y (- 2.0 (+ x y))))
14.0ms	(/ x (- 2.0 (+ x y)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(log1p (expm1 (/ x (- 2.0 (+ x y)))))
47.0ms	(/ y (- 2.0 (+ x y)))
104.0ms	(- (log1p (expm1 (/ x (- 2.0 (+ x y))))) (/ y (- 2.0 (+ x y))))
44.0ms	(/ x (- 2.0 (+ x y)))

simplify975.0ms

Counts

202 → 202

Iterations

Useful iterations: done (963.0ms)

Iter	Nodes	Cost
0	309	7403
1	731	6423
2	1958	5076
done	5001	5069

prune383.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (- 2.0 (+ x y)))
0.0b	(- (log1p (expm1 (/ x (- 2.0 (+ x y))))) (* y (/ 1 (- 2.0 (+ x y)))))
0.0b	(/ 1 (- 2.0 (+ x y)))
0.1b	(* y (/ 1 (- 2.0 (+ x y))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
56×	`times-frac`
39×	`add-cube-cbrt`
24×	`associate-r`
22×	`distribute-lft-out--`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`associate-/r*`
11×	`distribute-lft-out` `difference-of-squares`
7×	`pow1` `add-log-exp`
6×	`associate-/r/` `associate-/l*`
5×	`div-exp`
4×	`expm1-log1p-u` `flip3--` `prod-exp` `flip--` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-neg` `associate-l` `prod-diff` `div-inv` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `cbrt-unprod`
1×	`sub-neg` `log1p-udef` `pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 160

Calls

4 calls:

14.0ms	(/ x (- 2.0 (+ x y)))
2.0ms	(- (log1p (expm1 (/ x (- 2.0 (+ x y))))) (* y (/ 1 (- 2.0 (+ x y)))))
17.0ms	(/ 1 (- 2.0 (+ x y)))
35.0ms	(* y (/ 1 (- 2.0 (+ x y))))

series240.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ x (- 2.0 (+ x y)))
105.0ms	(- (log1p (expm1 (/ x (- 2.0 (+ x y))))) (* y (/ 1 (- 2.0 (+ x y)))))
39.0ms	(/ 1 (- 2.0 (+ x y)))
45.0ms	(* y (/ 1 (- 2.0 (+ x y))))

simplify1.9s

Counts

172 → 172

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	224	2395
1	504	2028
2	1175	1829
3	3322	1803
done	5000	1798

prune379.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes40.0ms

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	9
1	8	9
done	8	9

end0.0ms

sample301.0ms

Algorithm

intervals

Results

176.0ms	7996×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid