Details

sample68.0ms

Algorithm

intervals

Results

35.0ms	376×	body	80	valid
8.0ms	127×	body	80	nan

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	2347
5	652
4	213
3	94
2	50
1	24
0	12

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow k m) a)
2.5b	(/ (* (pow k m) a) (fma k (+ k 10.0) 1.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
12×	`add-sqr-sqrt`
9×	`add-cbrt-cube`
7×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
6×	`prod-exp`
4×	`unpow-prod-down` `div-exp`
3×	`associate-/r` `times-frac` `associate-r*` `unswap-sqr`
2×	`expm1-log1p-u` `pow-to-exp` `pow1` `cbrt-undiv` `pow-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`clear-num` `frac-2neg` `-commutative` `div-inv` `associate-/l`

Counts

2 → 52

Calls

2 calls:

19.0ms	(* (pow k m) a)
17.0ms	(/ (* (pow k m) a) (fma k (+ k 10.0) 1.0))

series323.0ms

Counts

2 → 6

Calls

2 calls:

135.0ms	(* (pow k m) a)
188.0ms	(/ (* (pow k m) a) (fma k (+ k 10.0) 1.0))

simplify1.5s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
2	1072
1	320
0	131

prune431.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow k m) a)
0.0b	(/ (/ (* (pow k m) a) (sqrt (fma k (+ k 10.0) 1.0))) (sqrt (fma k (+ k 10.0) 1.0)))
16.3b	(sqrt (fma k (+ k 10.0) 1.0))
16.3b	(sqrt (fma k (+ k 10.0) 1.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

102×	`times-frac`
60×	`sqrt-prod`
59×	`add-sqr-sqrt`
52×	`*-un-lft-identity` `add-cube-cbrt`
25×	`add-exp-log`
15×	`add-cbrt-cube`
10×	`associate-/l*`
9×	`div-exp`
8×	`div-inv`
7×	`associate-l`
6×	`pow1` `associate-/r*` `prod-exp`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp` `cbrt-unprod` `sqr-pow`
1×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`

Counts

4 → 154

Calls

4 calls:

10.0ms	(* (pow k m) a)
16.0ms	(/ (/ (* (pow k m) a) (sqrt (fma k (+ k 10.0) 1.0))) (sqrt (fma k (+ k 10.0) 1.0)))
2.0ms	(sqrt (fma k (+ k 10.0) 1.0))
3.0ms	(sqrt (fma k (+ k 10.0) 1.0))

series798.0ms

Counts

4 → 12

Calls

4 calls:

476.0ms	(* (pow k m) a)
182.0ms	(/ (/ (* (pow k m) a) (sqrt (fma k (+ k 10.0) 1.0))) (sqrt (fma k (+ k 10.0) 1.0)))
82.0ms	(sqrt (fma k (+ k 10.0) 1.0))
58.0ms	(sqrt (fma k (+ k 10.0) 1.0))

simplify2.0s

Counts

166 → 166

Iterations

Iter	Nodes
done	5014
2	2208
1	639
0	259

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)
2.5b	(/ (* (pow (* (cbrt k) (cbrt k)) m) (* (pow (cbrt k) m) a)) (fma k (+ k 10.0) 1.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-exp-log`
32×	`prod-exp`
17×	`div-exp`
13×	`add-cbrt-cube`
12×	`pow-exp`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`pow-to-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `times-frac` `pow1/3` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
1.0ms	(cbrt k)
25.0ms	(/ (* (pow (* (cbrt k) (cbrt k)) m) (* (pow (cbrt k) m) a)) (fma k (+ k 10.0) 1.0))

series1.3s

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt k)
264.0ms	(cbrt k)
271.0ms	(cbrt k)
469.0ms	(/ (* (pow (* (cbrt k) (cbrt k)) m) (* (pow (cbrt k) m) a)) (fma k (+ k 10.0) 1.0))

simplify2.0s

Counts

90 → 90

Iterations

Iter	Nodes
done	5002
2	1721
1	459
0	167

prune632.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (/ (* (pow k m) a) (sqrt (sqrt (fma k (+ k 10.0) 1.0)))) (/ (/ 1 (sqrt (fma k (+ k 10.0) 1.0))) (sqrt (sqrt (fma k (+ k 10.0) 1.0)))))
16.3b	(sqrt (fma k (+ k 10.0) 1.0))
16.3b	(sqrt (fma k (+ k 10.0) 1.0))
16.3b	(sqrt (fma k (+ k 10.0) 1.0))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

396×	`times-frac`
318×	`sqrt-prod`
251×	`add-sqr-sqrt`
202×	`associate-r`
201×	`*-un-lft-identity`
195×	`add-cube-cbrt`
109×	`add-exp-log`
50×	`div-exp`
40×	`add-cbrt-cube` `prod-exp`
16×	`unswap-sqr`
15×	`cbrt-undiv`
13×	`associate-l`
12×	`cbrt-unprod`
11×	`div-inv`
9×	`pow1`
5×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 324

Calls

4 calls:

154.0ms	(* (/ (* (pow k m) a) (sqrt (sqrt (fma k (+ k 10.0) 1.0)))) (/ (/ 1 (sqrt (fma k (+ k 10.0) 1.0))) (sqrt (sqrt (fma k (+ k 10.0) 1.0)))))
1.0ms	(sqrt (fma k (+ k 10.0) 1.0))
1.0ms	(sqrt (fma k (+ k 10.0) 1.0))
1.0ms	(sqrt (fma k (+ k 10.0) 1.0))

series393.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (/ (* (pow k m) a) (sqrt (sqrt (fma k (+ k 10.0) 1.0)))) (/ (/ 1 (sqrt (fma k (+ k 10.0) 1.0))) (sqrt (sqrt (fma k (+ k 10.0) 1.0)))))
76.0ms	(sqrt (fma k (+ k 10.0) 1.0))
74.0ms	(sqrt (fma k (+ k 10.0) 1.0))
74.0ms	(sqrt (fma k (+ k 10.0) 1.0))

simplify3.8s

Counts

336 → 336

Iterations

Iter	Nodes
done	5001
2	4521
1	1658
0	481

prune2.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes254.0ms

Accuracy

98.3% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.0b

bsearch103.0ms

Steps

Iters	Range		Point
8	16551450174397.531	1.4763423829294256e+17	6.549877477825976e+16

simplify12.0ms

Iterations

Iter	Nodes
done	40
1	40
0	32

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s	12098×	body	80	valid
735.0ms	4310×	body	80	nan