Details

sample39.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (3.6s)

Iter	Nodes	Cost
0	10	25
1	32	25
2	168	23
3	894	19
4	3353	15
done	5000	15

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1.0 (* i i))
0.5b	(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
16×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1` `div-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
5×	`cbrt-undiv`
4×	`cbrt-unprod`
3×	`rec-exp` `pow-flip` `1-exp` `pow-prod-down`
2×	`expm1-log1p-u` `frac-2neg` `associate-l/` `clear-num` `associate-/r` `associate-/r/` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`flip3--` `flip--` `inv-pow`

Counts

2 → 60

Calls

2 calls:

17.0ms	(/ 1.0 (* i i))
116.0ms	(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))

series124.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ 1.0 (* i i))
78.0ms	(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))

simplify2.9s

Counts

66 → 66

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	136	944
1	322	853
2	943	732
3	3845	730
done	5001	730

prune142.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ 1.0 i) i)
0.5b	(/ 1 (* (- (* 2.0 2.0) (/ (/ 1.0 i) i)) (* 2.0 2.0)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log`
16×	`add-cbrt-cube` `associate-/l*`
9×	`div-exp` `prod-exp`
8×	`pow1`
6×	`cbrt-undiv` `div-inv`
4×	`associate-/r*`
3×	`rec-exp` `pow-flip` `1-exp` `pow-prod-down` `cbrt-unprod`
2×	`expm1-log1p-u` `frac-2neg` `associate-*l/` `clear-num` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/` `inv-pow`

Counts

2 → 109

Calls

2 calls:

22.0ms	(/ (/ 1.0 i) i)
110.0ms	(/ 1 (* (- (* 2.0 2.0) (/ (/ 1.0 i) i)) (* 2.0 2.0)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (/ 1.0 i) i)
64.0ms	(/ 1 (* (- (* 2.0 2.0) (/ (/ 1.0 i) i)) (* 2.0 2.0)))

simplify3.6s

Counts

115 → 115

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	233	1621
1	529	1492
2	1314	1339
3	4630	1323
done	5000	1323

prune241.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`add-exp-log`
7×	`associate-r`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube`
4×	`unpow-prod-down`
3×	`pow1` `expm1-log1p-u` `associate-l` `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:

1.0ms	(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))
1.0ms	(fma 1.0 (pow i 4) (* 4.0 (pow i 6)))
27.0ms	(* 4.0 (pow i 6))

series319.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))
177.0ms	(fma 1.0 (pow i 4) (* 4.0 (pow i 6)))
69.0ms	(* 4.0 (pow i 6))

simplify1.5s

Counts

56 → 56

Iterations

Useful iterations: 3 (383.0ms)

Iter	Nodes	Cost
0	83	651
1	152	619
2	376	557
3	1587	550
done	5000	550

prune185.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	13	15
done	13	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

584.0ms	8000×	pre	80	true
436.0ms	8000×	body	80	valid