Details

sample11.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

11.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify2.0s

Counts

48 → 48

Iterations

Useful iterations: 3 (387.0ms)

Iter	Nodes	Cost
0	76	590
1	170	567
2	414	539
3	1001	532
4	2498	532
done	5000	532

prune82.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (+ x y))
0.0b	(/ 1 (/ (- x y) (+ x y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 174

Calls

2 calls:

10.0ms	(/ (- x y) (+ x y))
14.0ms	(/ 1 (/ (- x y) (+ x y)))

series130.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ (- x y) (+ x y))
66.0ms	(/ 1 (/ (- x y) (+ x y)))

simplify2.0s

Counts

180 → 180

Iterations

Useful iterations: 3 (919.0ms)

Iter	Nodes	Cost
0	205	2962
1	487	2521
2	1061	2268
3	2937	2228
done	5000	2228

prune184.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

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×	`log-prod` `flip3--` `flip--` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 117

Calls

3 calls:

26.0ms	(exp (/ (+ x y) (- x y)))
19.0ms	(log (exp (/ (+ x y) (- x y))))
11.0ms	(/ (+ x y) (- x y))

series192.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(exp (/ (+ x y) (- x y)))
58.0ms	(log (exp (/ (+ x y) (- x y))))
62.0ms	(/ (+ x y) (- x y))

simplify1.8s

Counts

126 → 126

Iterations

Useful iterations: 3 (241.0ms)

Iter	Nodes	Cost
0	132	1387
1	236	1247
2	499	1182
3	1198	1163
4	2808	1163
done	5000	1163

prune236.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
16×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 59

Calls

4 calls:

2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))

series554.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (+ x y))
140.0ms	(cbrt (- x y))
145.0ms	(cbrt (- x y))
145.0ms	(cbrt (- x y))

simplify2.1s

Counts

71 → 71

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	102	719
1	221	698
2	491	666
3	1173	624
4	4063	577
done	5001	577

prune218.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes57.0ms

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	10	9
done	10	9

end0.0ms

sample287.0ms

Algorithm

intervals

Results

152.0ms

8000×

body

valid