Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	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) (- x y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 47

Calls

1 calls:

12.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify2.3s

Counts

50 → 50

Iterations

Useful iterations: 3 (227.0ms)

Iter	Nodes	Cost
0	78	606
1	175	582
2	445	554
3	1283	547
4	4058	547
done	5001	547

prune91.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (exp (/ (+ x y) (- x y))))
0.0b	(exp (/ (+ x y) (- x y)))
0.0b	(/ (+ x y) (- x y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`expm1-log1p-u` `log-prod` `flip3--` `flip--` `log1p-expm1-u` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 123

Calls

3 calls:

23.0ms	(log (exp (/ (+ x y) (- x y))))
19.0ms	(exp (/ (+ x y) (- x y)))
11.0ms	(/ (+ x y) (- x y))

series204.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(log (exp (/ (+ x y) (- x y))))
78.0ms	(exp (/ (+ x y) (- x y)))
61.0ms	(/ (+ x y) (- x y))

simplify2.5s

Counts

132 → 132

Iterations

Useful iterations: 3 (228.0ms)

Iter	Nodes	Cost
0	138	1441
1	245	1296
2	534	1231
3	1488	1212
4	4452	1212
done	5000	1212

prune254.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

209×	`*-un-lft-identity`
140×	`times-frac`
137×	`add-sqr-sqrt`
116×	`cbrt-prod`
79×	`add-cube-cbrt`
78×	`unpow-prod-down` `cube-prod`
61×	`exp-prod`
36×	`distribute-lft-out`
29×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--` `div-inv`
5×	`pow1` `associate-/r*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`cube-mult` `pow-unpow` `unpow3` `sqr-pow`
2×	`cbrt-undiv` `cube-div` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+` `rem-exp-log`

Counts

4 → 262

Calls

4 calls:

62.0ms	(exp (cbrt (pow (/ (+ x y) (- x y)) 3)))
13.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
11.0ms	(/ (+ x y) (- x y))
15.0ms	(pow (/ (+ x y) (- x y)) 3)

series412.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(exp (cbrt (pow (/ (+ x y) (- x y)) 3)))
85.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
63.0ms	(/ (+ x y) (- x y))
74.0ms	(pow (/ (+ x y) (- x y)) 3)

simplify850.0ms

Counts

274 → 274

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	220	4329
1	532	3488
2	1776	3195
done	5001	3195

prune463.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.0b	(/ (+ x y) (- x y))
0.0b	(log (sqrt (exp (/ (+ x y) (- x y)))))
0.0b	(log (sqrt (exp (/ (+ x y) (- x y)))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

130×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
80×	`times-frac`
58×	`log-pow`
54×	`sqrt-pow1`
52×	`exp-prod`
50×	`add-cube-cbrt`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
12×	`log-prod`
10×	`add-exp-log` `associate-/r*`
8×	`pow1` `associate-/r/` `add-cbrt-cube` `associate-/l*`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `pow1/2` `div-exp` `rem-log-exp` `clear-num` `flip-+`

Counts

4 → 184

Calls

4 calls:

11.0ms	(/ (+ x y) (- x y))
11.0ms	(/ (+ x y) (- x y))
25.0ms	(log (sqrt (exp (/ (+ x y) (- x y)))))
23.0ms	(log (sqrt (exp (/ (+ x y) (- x y)))))

series440.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ (+ x y) (- x y))
63.0ms	(/ (+ x y) (- x y))
156.0ms	(log (sqrt (exp (/ (+ x y) (- x y)))))
155.0ms	(log (sqrt (exp (/ (+ x y) (- x y)))))

simplify2.4s

Counts

196 → 196

Iterations

Useful iterations: 3 (231.0ms)

Iter	Nodes	Cost
0	147	2376
1	252	2154
2	536	2040
3	1479	2014
4	4406	2014
done	5000	2014

prune550.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes52.0ms

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

sample282.0ms

Algorithm

intervals

Results

155.0ms

8000×

body

valid