Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (3.9s)

Iter	Nodes	Cost
0	10	25
1	32	25
2	167	23
3	864	19
4	4702	15
done	5001	15

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* 2.0 2.0) i) (/ 1.0 i))
0.3b	(/ i (* (- (* (* 2.0 2.0) i) (/ 1.0 i)) (* 2.0 2.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`prod-diff`
12×	`times-frac`
11×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-*l/` `associate-/r/` `flip--` `log1p-expm1-u` `div-inv`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `clear-num` `associate-/r*`

Counts

2 → 55

Calls

2 calls:

11.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
17.0ms	(/ i (* (- (* (* 2.0 2.0) i) (/ 1.0 i)) (* 2.0 2.0)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
96.0ms	(/ i (* (- (* (* 2.0 2.0) i) (/ 1.0 i)) (* 2.0 2.0)))

simplify795.0ms

Counts

61 → 61

Iterations

Useful iterations: done (792.0ms)

Iter	Nodes	Cost
0	198	1387
1	512	1286
2	1766	1006
done	5000	1004

prune115.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ i (- (* (* 2.0 2.0) i) (/ 1.0 i))) (* 2.0 2.0))
0.0b	(- (* (* 2.0 2.0) i) (/ 1.0 i))
0.1b	(/ i (- (* (* 2.0 2.0) i) (/ 1.0 i)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

51×	`times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/l*`
17×	`add-exp-log` `add-cbrt-cube`
13×	`prod-diff`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r/`
5×	`div-inv` `add-log-exp`
4×	`flip3--` `associate-/r*` `flip--`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
1×	`sub-neg` `fma-neg` `diff-log` `associate-/l/`

Counts

3 → 111

Calls

3 calls:

33.0ms	(/ (/ i (- (* (* 2.0 2.0) i) (/ 1.0 i))) (* 2.0 2.0))
11.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
18.0ms	(/ i (- (* (* 2.0 2.0) i) (/ 1.0 i)))

series246.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(/ (/ i (- (* (* 2.0 2.0) i) (/ 1.0 i))) (* 2.0 2.0))
63.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
88.0ms	(/ i (- (* (* 2.0 2.0) i) (/ 1.0 i)))

simplify914.0ms

Counts

120 → 120

Iterations

Useful iterations: done (911.0ms)

Iter	Nodes	Cost
0	268	2652
1	666	2513
2	2116	2148
done	5001	2146

prune236.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 1 (/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) i)) (* 2.0 2.0))
0.0b	(- (* (* 2.0 2.0) i) (/ 1.0 i))
0.1b	(/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) i)
0.2b	(/ 1 (/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) i))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

269×	`times-frac`
131×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
62×	`add-exp-log`
50×	`associate-/l*`
36×	`div-exp`
32×	`add-cbrt-cube`
17×	`associate-/r*`
16×	`cbrt-undiv` `div-inv`
13×	`prod-diff`
7×	`prod-exp`
6×	`rec-exp` `1-exp` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `clear-num` `associate-/r/` `cbrt-unprod` `associate-/l/`
2×	`flip3--` `flip--`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `div-sub` `inv-pow`

Counts

4 → 260

Calls

4 calls:

40.0ms	(/ (/ 1 (/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) i)) (* 2.0 2.0))
11.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
29.0ms	(/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) i)
23.0ms	(/ 1 (/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) i))

series365.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ (/ 1 (/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) i)) (* 2.0 2.0))
62.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
113.0ms	(/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) i)
88.0ms	(/ 1 (/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) i))

simplify1.4s

Counts

272 → 272

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	454	6490
1	1155	5930
2	3050	4932
done	5000	4930

prune429.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 2.0 2.0) i) (/ 1.0 i))
0.1b	(* (/ (/ 1 (- (* (* 2.0 2.0) i) (/ 1.0 i))) 2.0) (/ i 2.0))
0.1b	(/ 1 (- (* (* 2.0 2.0) i) (/ 1.0 i)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

113×	`times-frac`
90×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
62×	`add-cube-cbrt`
49×	`associate-l`
42×	`add-exp-log`
26×	`add-cbrt-cube`
19×	`div-exp`
13×	`associate-r` `prod-diff`
10×	`cbrt-undiv` `prod-exp`
8×	`associate-/r/` `unswap-sqr`
7×	`div-inv`
6×	`pow1` `cbrt-unprod`
5×	`flip3--` `flip--` `add-log-exp`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r` `log1p-expm1-u` `associate-/l`
1×	`frac-times` `sub-neg` `pow-flip` `frac-2neg` `fma-neg` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `inv-pow`

Counts

3 → 163

Calls

3 calls:

11.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
68.0ms	(* (/ (/ 1 (- (* (* 2.0 2.0) i) (/ 1.0 i))) 2.0) (/ i 2.0))
20.0ms	(/ 1 (- (* (* 2.0 2.0) i) (/ 1.0 i)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
92.0ms	(* (/ (/ 1 (- (* (* 2.0 2.0) i) (/ 1.0 i))) 2.0) (/ i 2.0))
65.0ms	(/ 1 (- (* (* 2.0 2.0) i) (/ 1.0 i)))

simplify1.4s

Counts

172 → 172

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	372	3782
1	1076	3538
2	2993	2968
done	5001	2966

prune333.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	16	17
done	16	17

end0.0ms

sample393.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
68.0ms	8000×	pre	80	true