Details

sample26.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 4 (3.8s)

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 50

Calls

1 calls:

74.0ms

(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series145.0ms

Counts

1 → 3

Calls

1 calls:

145.0ms

(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify2.6s

Counts

53 → 53

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	143	1332
1	363	1310
2	1106	1178
3	3967	1176
done	5000	1176

prune175.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 4.0 (pow i 6))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
3×	`associate-l` `prod-exp` `add-cbrt-cube` `unswap-sqr`
2×	`sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

22.0ms

(* 4.0 (pow i 6))

series76.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

(* 4.0 (pow i 6))

simplify1.4s

Counts

28 → 28

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	50	221
1	101	198
2	243	186
3	888	181
done	5000	180

prune106.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 0.00390625 (pow i 4)) (+ 0.0625 (/ 0.015625 (* i i))))
0.1b	(/ 0.00390625 (pow i 4))
0.6b	(/ 0.015625 (* i i))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
12×	`unpow-prod-down`
10×	`add-cbrt-cube`
8×	`associate-/r*` `add-log-exp`
6×	`associate-/l*`
5×	`div-exp`
4×	`sqr-pow`
3×	`pow1` `cbrt-undiv` `sum-log` `distribute-lft-out`
2×	`frac-2neg` `flip3-+` `frac-add` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `pow-exp` `prod-exp` `cbrt-unprod`

Counts

3 → 83

Calls

3 calls:

90.0ms	(+ (/ 0.00390625 (pow i 4)) (+ 0.0625 (/ 0.015625 (* i i))))
22.0ms	(/ 0.00390625 (pow i 4))
17.0ms	(/ 0.015625 (* i i))

series129.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ (/ 0.00390625 (pow i 4)) (+ 0.0625 (/ 0.015625 (* i i))))
42.0ms	(/ 0.00390625 (pow i 4))
36.0ms	(/ 0.015625 (* i i))

simplify1.1s

Counts

92 → 92

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	172	1152
1	396	1053
2	1355	981
done	5000	962

prune251.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	12	15
done	12	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

935.0ms	8000×	body	80	valid
136.0ms	8000×	pre	80	true