Details

sample39.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
10.0ms	256×	pre	80	true

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	1029
2	165
1	31
0	10

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

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)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 62

Calls

2 calls:

17.0ms	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
60.0ms	(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series209.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
136.0ms	(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify1.1s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	2272
1	418
0	156

prune250.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite209.0ms

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×	`associate-/r` `flip3--` `div-inv` `flip--` `associate-/l`
1×	`frac-times` `clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 104

Calls

3 calls:

34.0ms	(- (* (* 2.0 i) 2.0) (/ 1.0 i))
133.0ms	(* (/ i (* 2.0 2.0)) (/ 1 (- (* (* 2.0 i) 2.0) (/ 1.0 i))))
36.0ms	(/ 1 (- (* (* 2.0 i) 2.0) (/ 1.0 i)))

series334.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(- (* (* 2.0 i) 2.0) (/ 1.0 i))
133.0ms	(* (/ i (* 2.0 2.0)) (/ 1 (- (* (* 2.0 i) 2.0) (/ 1.0 i))))
97.0ms	(/ 1 (- (* (* 2.0 i) 2.0) (/ 1.0 i)))

simplify2.0s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	3694
1	598
0	197

prune385.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 4.0 i) (/ 1.0 i))
0.1b	(* (/ i (* 2.0 2.0)) (/ 1 (- (* 4.0 i) (/ 1.0 i))))
0.1b	(/ 1 (- (* 4.0 i) (/ 1.0 i)))

rewrite122.0ms

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×	`associate-/r` `flip3--` `div-inv` `flip--` `associate-/l`
1×	`frac-times` `clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 104

Calls

3 calls:

15.0ms	(- (* 4.0 i) (/ 1.0 i))
68.0ms	(* (/ i (* 2.0 2.0)) (/ 1 (- (* 4.0 i) (/ 1.0 i))))
32.0ms	(/ 1 (- (* 4.0 i) (/ 1.0 i)))

series389.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(- (* 4.0 i) (/ 1.0 i))
176.0ms	(* (/ i (* 2.0 2.0)) (/ 1 (- (* 4.0 i) (/ 1.0 i))))
115.0ms	(/ 1 (- (* 4.0 i) (/ 1.0 i)))

simplify2.1s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	3678
1	592
0	195

prune425.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 16.0 (pow i 5))
0.0b	(* 4.0 (pow i 3))
0.0b	(* (/ i (* 2.0 2.0)) (- (* i (- 1.0)) (+ (* 4.0 (pow i 3)) (* 16.0 (pow i 5)))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`associate-r` `add-exp-log`
16×	`add-cbrt-cube`
13×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
10×	`prod-exp`
9×	`unswap-sqr`
8×	`unpow-prod-down`
6×	`cbrt-unprod`
5×	`pow1`
4×	`times-frac` `cube-prod` `sqr-pow`
3×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `frac-times` `pow-to-exp` `cbrt-undiv` `sub-neg` `distribute-lft-in` `flip3--` `div-exp` `pow-exp` `associate-*r/` `flip--`
1×	`cube-mult` `unpow3` `pow-prod-down` `associate-*l/` `div-inv`

Counts

3 → 92

Calls

3 calls:

10.0ms	(* 16.0 (pow i 5))
13.0ms	(* 4.0 (pow i 3))
95.0ms	(* (/ i (* 2.0 2.0)) (- (* i (- 1.0)) (+ (* 4.0 (pow i 3)) (* 16.0 (pow i 5)))))

series320.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* 16.0 (pow i 5))
73.0ms	(* 4.0 (pow i 3))
172.0ms	(* (/ i (* 2.0 2.0)) (- (* i (- 1.0)) (+ (* 4.0 (pow i 3)) (* 16.0 (pow i 5)))))

simplify1.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	3225
1	557
0	190

prune499.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample853.0ms

Algorithm

intervals

Results

566.0ms	8000×	body	80	valid
103.0ms	8000×	pre	80	true