Details

sample19.0ms

Algorithm

intervals

Results

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

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (2.6s)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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)))

rewrite66.0ms

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:

19.0ms	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
45.0ms	(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
93.0ms	(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify2.1s

Counts

68 → 68

Iterations

Useful iterations: 3 (858.0ms)

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

prune133.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:

11.0ms	(- (* 4.0 i) (/ 1.0 i))
29.0ms	(/ (/ i (* 2.0 2.0)) (- (* 4.0 i) (/ 1.0 i)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(- (* 4.0 i) (/ 1.0 i))
92.0ms	(/ (/ i (* 2.0 2.0)) (- (* 4.0 i) (/ 1.0 i)))

simplify1.7s

Counts

68 → 68

Iterations

Useful iterations: 2 (202.0ms)

Iter	Nodes	Cost
0	154	1350
1	389	1323
2	1147	1189
3	4012	1189
done	5000	1189

prune124.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 4.0 i) (/ 1.0 i))
0.1b	(/ (/ (sqrt i) 2.0) (/ (- (* 4.0 i) (/ 1.0 i)) (/ (sqrt i) 2.0)))
0.3b	(/ (- (* 4.0 i) (/ 1.0 i)) (/ (sqrt i) 2.0))

rewrite326.0ms

Algorithm

rewrite-expression-head

Rules

5756×	`times-frac`
2440×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1305×	`sqrt-prod`
170×	`div-inv`
93×	`associate-/r*`
29×	`add-exp-log` `add-cbrt-cube`
25×	`associate-/r/` `associate-/l*`
18×	`cbrt-undiv` `div-exp`
5×	`add-log-exp`
3×	`pow1` `associate-/l/`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `div-sub`

Counts

3 → 1800

Calls

3 calls:

10.0ms	(- (* 4.0 i) (/ 1.0 i))
70.0ms	(/ (/ (sqrt i) 2.0) (/ (- (* 4.0 i) (/ 1.0 i)) (/ (sqrt i) 2.0)))
32.0ms	(/ (- (* 4.0 i) (/ 1.0 i)) (/ (sqrt i) 2.0))

series246.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (* 4.0 i) (/ 1.0 i))
89.0ms	(/ (/ (sqrt i) 2.0) (/ (- (* 4.0 i) (/ 1.0 i)) (/ (sqrt i) 2.0)))
90.0ms	(/ (- (* 4.0 i) (/ 1.0 i)) (/ (sqrt i) 2.0))

simplify1.1s

Counts

1809 → 1809

Iterations

Useful iterations: done (974.0ms)

Iter	Nodes	Cost
0	2264	73761
done	5000	68854

prune4.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
0.0b	(* 4.0 (pow i 6))
0.0b	(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))
0.2b	(* 0.25 (pow i 2))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`associate-r`
14×	`add-exp-log`
11×	`add-log-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+` `unpow2`
1×	`associate-+r+`

Counts

4 → 76

Calls

4 calls:

21.0ms	(+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
11.0ms	(* 4.0 (pow i 6))
9.0ms	(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))
11.0ms	(* 0.25 (pow i 2))

series279.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
53.0ms	(* 4.0 (pow i 6))
133.0ms	(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))
30.0ms	(* 0.25 (pow i 2))

simplify662.0ms

Counts

88 → 88

Iterations

Useful iterations: done (660.0ms)

Iter	Nodes	Cost
0	137	1110
1	349	996
2	1053	921
done	5001	905

prune204.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	11	13
done	11	13

end0.0ms

sample411.0ms

Algorithm

intervals

Results

223.0ms	8000×	body	80	valid
63.0ms	8000×	pre	80	true