Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	17	9
2	28	9
3	41	9
4	55	9
5	117	9
6	316	9
7	1055	9
8	3919	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
51×	`add-sqr-sqrt`
30×	`times-frac`
23×	`add-cube-cbrt`
21×	`distribute-lft-out--`
14×	`difference-of-squares`
12×	`prod-diff`
10×	`distribute-lft-out`
7×	`add-log-exp`
6×	`associate-/r*`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube`
3×	`flip3--` `fma-neg` `flip--`
2×	`pow1` `expm1-log1p-u` `diff-log` `associate-/r/` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv` `associate--r+`

Counts

2 → 94

Calls

2 calls:

23.0ms	(- 2.0 (+ x y))
43.0ms	(/ (- x y) (- 2.0 (+ x y)))

series75.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- 2.0 (+ x y))
55.0ms	(/ (- x y) (- 2.0 (+ x y)))

simplify1.5s

Counts

100 → 100

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	154	1586
1	383	1389
2	1700	1246
done	5001	1182

prune217.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (+ x y))
0.0b	(/ (- x y) (- 2.0 (+ x y)))
0.0b	(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
0.3b	(expm1 (/ (- x y) (- 2.0 (+ x y))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
30×	`times-frac`
25×	`add-cube-cbrt`
21×	`distribute-lft-out--`
14×	`difference-of-squares`
12×	`prod-diff`
10×	`distribute-lft-out`
9×	`add-log-exp`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
5×	`log1p-expm1-u` `associate-/l*`
4×	`pow1` `expm1-log1p-u`
3×	`flip3--` `fma-neg` `flip--`
2×	`diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `log1p-udef` `expm1-log1p` `frac-2neg` `div-sub` `log1p-expm1` `div-exp` `clear-num` `sum-log` `div-inv` `associate--r+` `expm1-udef`

Counts

4 → 116

Calls

4 calls:

30.0ms	(- 2.0 (+ x y))
60.0ms	(/ (- x y) (- 2.0 (+ x y)))
0.0ms	(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
1.0ms	(expm1 (/ (- x y) (- 2.0 (+ x y))))

series371.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- 2.0 (+ x y))
90.0ms	(/ (- x y) (- 2.0 (+ x y)))
120.0ms	(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
145.0ms	(expm1 (/ (- x y) (- 2.0 (+ x y))))

simplify2.0s

Counts

128 → 128

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	186	1982
1	444	1749
2	1856	1560
done	5000	1494

prune375.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (+ x y))
0.0b	(/ (- x y) (- 2.0 (+ x y)))
0.1b	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
5.6b	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

278×	`*-un-lft-identity`
191×	`add-sqr-sqrt`
150×	`times-frac`
85×	`distribute-lft-out--`
78×	`cbrt-prod`
75×	`add-cube-cbrt`
72×	`unpow-prod-down` `cube-prod`
58×	`difference-of-squares`
30×	`distribute-lft-out`
12×	`prod-diff`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`flip3--` `flip--`
6×	`associate-/r*`
5×	`pow1` `div-inv` `associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `fma-neg`
2×	`cbrt-undiv` `cube-div` `cube-mult` `diff-log` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `clear-num` `sum-log` `rem-cbrt-cube` `associate--r+`

Counts

4 → 278

Calls

4 calls:

21.0ms	(- 2.0 (+ x y))
64.0ms	(/ (- x y) (- 2.0 (+ x y)))
71.0ms	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
89.0ms	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

series268.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- 2.0 (+ x y))
65.0ms	(/ (- x y) (- 2.0 (+ x y)))
127.0ms	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
60.0ms	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

simplify495.0ms

Counts

290 → 290

Iterations

Useful iterations: done (481.0ms)

Iter	Nodes	Cost
0	288	5959
1	986	4999
done	5000	4675

prune668.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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

sample653.0ms

Algorithm

intervals

Results

398.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid