Details

sample28.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify6.4s

Counts

1 → 1

Iterations

Useful iterations: 4 (4.0s)

Iter	Nodes	Cost
0	10	25
1	31	25
2	164	23
3	890	19
4	3359	15
done	5000	15

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`

Counts

2 → 62

Calls

2 calls:

21.0ms	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
55.0ms	(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series256.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
160.0ms	(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify2.8s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	156	1548
1	395	1521
2	1190	1361
3	4365	1355
done	5000	1355

prune251.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

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

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
34×	`add-sqr-sqrt`
28×	`times-frac`
26×	`add-cbrt-cube`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
16×	`div-exp` `prod-exp`
15×	`associate-r`
8×	`cbrt-undiv` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
5×	`add-log-exp`
4×	`rec-exp` `1-exp` `associate-/r/`
3×	`flip3--` `associate-/r` `flip--` `div-inv` `associate-/l`
1×	`frac-times` `sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 104

Calls

3 calls:

42.0ms	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
43.0ms	(/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))
177.0ms	(* (/ i (* 2.0 2.0)) (/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))

series324.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
85.0ms	(/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))
135.0ms	(* (/ i (* 2.0 2.0)) (/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))

simplify2.0s

Counts

113 → 113

Iterations

Useful iterations: 2 (380.0ms)

Iter	Nodes	Cost
0	197	2324
1	521	2119
2	1625	1775
done	5000	1775

prune300.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
0.1b	(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0)))
0.3b	(/ 1 (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0))))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
102×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
46×	`add-exp-log`
33×	`associate-/r*`
28×	`div-exp`
26×	`add-cbrt-cube`
22×	`div-inv`
14×	`cbrt-undiv`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `rec-exp` `1-exp` `prod-exp`
2×	`flip3--` `frac-2neg` `clear-num` `flip--` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

3 → 199

Calls

3 calls:

35.0ms	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
79.0ms	(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0)))
77.0ms	(/ 1 (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0))))

series439.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
176.0ms	(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0)))
140.0ms	(/ 1 (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0))))

simplify2.2s

Counts

208 → 208

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	338	5704
1	832	5250
2	2330	4721
done	5000	4578

prune556.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (- 16.0 (/ 4.0 (* i i))))
0.4b	(/ 4.0 (* i i))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
25×	`times-frac`
23×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`difference-of-squares`
7×	`associate-/r*`
6×	`associate-/l*`
4×	`div-exp` `distribute-lft-out--`
3×	`pow1` `cbrt-undiv`
2×	`frac-2neg` `clear-num` `associate-/r/` `div-inv` `add-log-exp`
1×	`rec-exp` `flip3--` `pow-flip` `1-exp` `prod-exp` `flip--` `cbrt-unprod` `inv-pow`

Counts

2 → 66

Calls

2 calls:

22.0ms	(/ 1 (- 16.0 (/ 4.0 (* i i))))
15.0ms	(/ 4.0 (* i i))

series117.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ 1 (- 16.0 (/ 4.0 (* i i))))
43.0ms	(/ 4.0 (* i i))

simplify2.4s

Counts

72 → 72

Iterations

Useful iterations: 2 (210.0ms)

Iter	Nodes	Cost
0	136	921
1	273	822
2	596	766
3	1558	766
done	5000	766

prune153.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample807.0ms

Algorithm

intervals

Results

558.0ms	8000×	body	80	valid
106.0ms	8000×	pre	80	true