Details

sample44.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	1029
2	169
1	32
0	10

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 224

Calls

2 calls:

40.0ms	(- (* 2.0 (* i 2.0)) (/ 1.0 i))
86.0ms	(/ (/ (/ i 2.0) 2.0) (- (* 2.0 (* i 2.0)) (/ 1.0 i)))

series246.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(- (* 2.0 (* i 2.0)) (/ 1.0 i))
137.0ms	(/ (/ (/ i 2.0) 2.0) (- (* 2.0 (* i 2.0)) (/ 1.0 i)))

simplify888.0ms

Counts

230 → 230

Iterations

Iter	Nodes
done	5000
1	1558
0	561

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt i)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt i)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
2.0ms	(cbrt 2.0)

series309.0ms

Counts

4 → 6

Calls

4 calls:

309.0ms	(cbrt i)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify1.4s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	2467
2	341
1	101
0	52

prune417.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow i 6) 4.0)
0.0b	(fma (* i i) 0.25 (fma 1.0 (pow i 4) (* (pow i 6) 4.0)))
0.0b	(fma 1.0 (pow i 4) (* (pow i 6) 4.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`add-exp-log`
7×	`associate-l`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`add-cbrt-cube`
4×	`unpow-prod-down`
3×	`expm1-log1p-u` `pow1` `associate-r` `prod-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`fma-udef` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 47

Calls

3 calls:

26.0ms	(* (pow i 6) 4.0)
1.0ms	(fma (* i i) 0.25 (fma 1.0 (pow i 4) (* (pow i 6) 4.0)))
1.0ms	(fma 1.0 (pow i 4) (* (pow i 6) 4.0))

series385.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* (pow i 6) 4.0)
93.0ms	(fma (* i i) 0.25 (fma 1.0 (pow i 4) (* (pow i 6) 4.0)))
215.0ms	(fma 1.0 (pow i 4) (* (pow i 6) 4.0))

simplify607.0ms

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
2	645
1	155
0	81

prune374.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes59.0ms

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

sample934.0ms

Algorithm

intervals

Results

560.0ms	8000×	body	80	valid
177.0ms	8000×	pre	80	true