Details

sample78.0ms

Algorithm

intervals

Results

33.0ms	344×	body	80	valid
10.0ms	116×	body	80	nan

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	12	15
1	24	15
2	53	13
3	108	12
4	270	12
5	1442	12
done	5001	12

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma k (+ 10.0 k) 1.0) (pow k m))
1.7b	(/ a (/ (fma k (+ 10.0 k) 1.0) (pow k m)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
100×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
48×	`unpow-prod-down`
32×	`associate-/r*`
17×	`add-exp-log`
16×	`sqr-pow`
10×	`div-exp`
9×	`add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
2×	`pow1` `expm1-log1p-u` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 169

Calls

2 calls:

17.0ms	(/ (fma k (+ 10.0 k) 1.0) (pow k m))
14.0ms	(/ a (/ (fma k (+ 10.0 k) 1.0) (pow k m)))

series265.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(/ (fma k (+ 10.0 k) 1.0) (pow k m))
181.0ms	(/ a (/ (fma k (+ 10.0 k) 1.0) (pow k m)))

simplify677.0ms

Counts

175 → 175

Iterations

Useful iterations: done (667.0ms)

Iter	Nodes	Cost
0	331	4107
1	874	3937
done	5001	3788

prune804.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.7b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ a (fma k (+ 10.0 k) 1.0)) (/ 1 (pow k m)))
0.0b	(/ 1 (pow k m))
3.0b	(/ a (fma k (+ 10.0 k) 1.0))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

883×	`times-frac`
405×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
138×	`unpow-prod-down`
64×	`add-exp-log`
49×	`div-exp`
46×	`sqr-pow`
43×	`div-inv`
35×	`associate-/r*`
19×	`add-cbrt-cube` `associate-/l*`
10×	`cbrt-undiv`
9×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/r/` `associate-/l/` `inv-pow`

Counts

3 → 485

Calls

3 calls:

24.0ms	(/ (/ a (fma k (+ 10.0 k) 1.0)) (/ 1 (pow k m)))
8.0ms	(/ 1 (pow k m))
5.0ms	(/ a (fma k (+ 10.0 k) 1.0))

series312.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(/ (/ a (fma k (+ 10.0 k) 1.0)) (/ 1 (pow k m)))
83.0ms	(/ 1 (pow k m))
98.0ms	(/ a (fma k (+ 10.0 k) 1.0))

simplify1.6s

Counts

494 → 494

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	794	14060
1	2785	12495
done	5001	12302

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (fma k (+ 10.0 k) 1.0)) (pow k m))
0.0b	(/ (/ a (sqrt (fma k (+ 10.0 k) 1.0))) (/ (sqrt (fma k (+ 10.0 k) 1.0)) (pow k m)))
14.3b	(sqrt (fma k (+ 10.0 k) 1.0))
14.3b	(sqrt (fma k (+ 10.0 k) 1.0))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

2866×	`times-frac`
1270×	`add-sqr-sqrt`
1268×	`add-cube-cbrt` `*-un-lft-identity`
936×	`sqrt-prod`
435×	`unpow-prod-down`
145×	`sqr-pow`
72×	`div-inv`
53×	`associate-/r*`
33×	`add-exp-log`
28×	`associate-/l*`
21×	`div-exp`
18×	`add-cbrt-cube`
9×	`cbrt-undiv`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`associate-/r/` `associate-/l/`

Counts

4 → 1207

Calls

4 calls:

15.0ms	(/ (sqrt (fma k (+ 10.0 k) 1.0)) (pow k m))
62.0ms	(/ (/ a (sqrt (fma k (+ 10.0 k) 1.0))) (/ (sqrt (fma k (+ 10.0 k) 1.0)) (pow k m)))
2.0ms	(sqrt (fma k (+ 10.0 k) 1.0))
2.0ms	(sqrt (fma k (+ 10.0 k) 1.0))

series513.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(/ (sqrt (fma k (+ 10.0 k) 1.0)) (pow k m))
194.0ms	(/ (/ a (sqrt (fma k (+ 10.0 k) 1.0))) (/ (sqrt (fma k (+ 10.0 k) 1.0)) (pow k m)))
76.0ms	(sqrt (fma k (+ 10.0 k) 1.0))
83.0ms	(sqrt (fma k (+ 10.0 k) 1.0))

simplify962.0ms

Counts

1219 → 1219

Iterations

Useful iterations: done (864.0ms)

Iter	Nodes	Cost
0	1451	55345
done	5000	51456

prune5.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (pow k m))
0.0b	(/ (/ 1 (pow k m)) (/ a (fma k (+ 10.0 k) 1.0)))
0.4b	(/ 1 (/ (/ 1 (pow k m)) (/ a (fma k (+ 10.0 k) 1.0))))
3.0b	(/ a (fma k (+ 10.0 k) 1.0))

rewrite442.0ms

Algorithm

rewrite-expression-head

Rules

5165×	`times-frac`
2169×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
606×	`unpow-prod-down`
353×	`associate-/r*`
239×	`add-exp-log`
217×	`div-exp`
202×	`sqr-pow`
200×	`div-inv`
48×	`rec-exp` `1-exp`
38×	`add-cbrt-cube`
34×	`associate-/l*`
27×	`pow-to-exp` `pow-exp`
23×	`cbrt-undiv`
6×	`associate-/r/`
5×	`pow1`
4×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`pow-flip` `inv-pow`
1×	`associate-/l/`

Counts

4 → 1891

Calls

4 calls:

8.0ms	(/ 1 (pow k m))
26.0ms	(/ (/ 1 (pow k m)) (/ a (fma k (+ 10.0 k) 1.0)))
107.0ms	(/ 1 (/ (/ 1 (pow k m)) (/ a (fma k (+ 10.0 k) 1.0))))
5.0ms	(/ a (fma k (+ 10.0 k) 1.0))

series476.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ 1 (pow k m))
137.0ms	(/ (/ 1 (pow k m)) (/ a (fma k (+ 10.0 k) 1.0)))
157.0ms	(/ 1 (/ (/ 1 (pow k m)) (/ a (fma k (+ 10.0 k) 1.0))))
97.0ms	(/ a (fma k (+ 10.0 k) 1.0))

simplify2.3s

Counts

1903 → 1903

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	2529	63992
done	5001	61038

prune9.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 1.7b

regimes102.0ms

Accuracy

0% (0.0b remaining)

Error of 1.9b against oracle of 1.9b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	15	14
done	15	14

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	11875×	body	80	valid
778.0ms	4282×	body	80	nan