Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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))

rewrite30.0ms

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:

26.0ms

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

series104.0ms

Counts

1 → 3

Calls

1 calls:

104.0ms

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

simplify2.6s

Counts

50 → 50

Iterations

Useful iterations: 3 (694.0ms)

Iter	Nodes	Cost
0	78	606
1	180	582
2	605	554
3	3573	547
done	5000	547

prune111.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (expm1 (/ (+ x y) (- x y))))
0.0b	(/ (+ x y) (- x y))
0.5b	(expm1 (/ (+ x y) (- x y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

0.0ms	(log1p (expm1 (/ (+ x y) (- x y))))
26.0ms	(/ (+ x y) (- x y))
1.0ms	(expm1 (/ (+ x y) (- x y)))

series396.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(log1p (expm1 (/ (+ x y) (- x y))))
111.0ms	(/ (+ x y) (- x y))
133.0ms	(expm1 (/ (+ x y) (- x y)))

simplify2.6s

Counts

78 → 78

Iterations

Useful iterations: 3 (683.0ms)

Iter	Nodes	Cost
0	101	865
1	218	813
2	647	757
3	3230	748
done	5000	748

prune207.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (expm1 (/ 1 (/ (- x y) (+ x y)))))
0.0b	(/ 1 (/ (- x y) (+ x y)))
0.0b	(/ (- x y) (+ x y))
0.5b	(expm1 (/ 1 (/ (- x y) (+ x y))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
176×	`*-un-lft-identity`
124×	`add-sqr-sqrt`
82×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`pow1` `flip3-+` `flip-+` `log1p-expm1-u`
4×	`cbrt-undiv` `expm1-log1p-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`log1p-udef` `expm1-log1p` `flip3--` `pow-flip` `div-sub` `log1p-expm1` `flip--` `inv-pow` `expm1-udef`

Counts

4 → 200

Calls

4 calls:

0.0ms	(log1p (expm1 (/ 1 (/ (- x y) (+ x y)))))
35.0ms	(/ 1 (/ (- x y) (+ x y)))
24.0ms	(/ (- x y) (+ x y))
1.0ms	(expm1 (/ 1 (/ (- x y) (+ x y))))

series392.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(log1p (expm1 (/ 1 (/ (- x y) (+ x y)))))
76.0ms	(/ 1 (/ (- x y) (+ x y)))
86.0ms	(/ (- x y) (+ x y))
123.0ms	(expm1 (/ 1 (/ (- x y) (+ x y))))

simplify1.9s

Counts

212 → 212

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	232	3309
1	595	2835
2	3611	2699
done	5001	2585

prune436.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.0b	(log (exp (/ (+ x y) (- x y))))
0.0b	(exp (/ (+ x y) (- x y)))
0.5b	(expm1 (log (exp (/ (+ x y) (- x y)))))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

44.0ms	(/ (+ x y) (- x y))
62.0ms	(log (exp (/ (+ x y) (- x y))))
61.0ms	(exp (/ (+ x y) (- x y)))
1.0ms	(expm1 (log (exp (/ (+ x y) (- x y)))))

series338.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ (+ x y) (- x y))
66.0ms	(log (exp (/ (+ x y) (- x y))))
86.0ms	(exp (/ (+ x y) (- x y)))
101.0ms	(expm1 (log (exp (/ (+ x y) (- x y)))))

simplify2.3s

Counts

146 → 146

Iterations

Useful iterations: 3 (795.0ms)

Iter	Nodes	Cost
0	149	1593
1	278	1418
2	787	1339
3	4321	1319
done	5000	1319

prune436.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	12	11
done	12	11

end0.0ms

sample551.0ms

Algorithm

intervals

Results

268.0ms

8000×

body

valid