Details

sample38.0ms

Algorithm

intervals

Results

14.0ms	387×	body	80	valid
4.0ms	135×	body	80	nan

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (17.0ms)

Iter	Nodes	Cost
0	12	15
1	24	15
2	53	13
3	107	12
4	254	12
5	735	12
6	2729	12
done	5001	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma k (+ 10.0 k) 1.0) (pow k m))
2.6b	(/ a (/ (fma k (+ 10.0 k) 1.0) (pow k m)))

rewrite29.0ms

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:

7.0ms	(/ (fma k (+ 10.0 k) 1.0) (pow k m))
13.0ms	(/ a (/ (fma k (+ 10.0 k) 1.0) (pow k m)))

series197.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ (fma k (+ 10.0 k) 1.0) (pow k m))
121.0ms	(/ a (/ (fma k (+ 10.0 k) 1.0) (pow k m)))

simplify1.2s

Counts

175 → 175

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	331	4107
1	713	3899
2	2357	3762
done	5000	3717

prune506.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (pow k m) (fma k (+ 10.0 k) 1.0))
2.4b	(* a (/ (pow k m) (fma k (+ 10.0 k) 1.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 97

Calls

2 calls:

8.0ms	(/ (pow k m) (fma k (+ 10.0 k) 1.0))
19.0ms	(* a (/ (pow k m) (fma k (+ 10.0 k) 1.0)))

series187.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (pow k m) (fma k (+ 10.0 k) 1.0))
119.0ms	(* a (/ (pow k m) (fma k (+ 10.0 k) 1.0)))

simplify711.0ms

Counts

103 → 103

Iterations

Useful iterations: done (708.0ms)

Iter	Nodes	Cost
0	203	1926
1	459	1840
2	1364	1728
done	5000	1676

prune274.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt k) (cbrt k))
2.4b	(* a (* (/ (pow (* (cbrt k) (cbrt k)) m) (sqrt (fma k (+ 10.0 k) 1.0))) (/ (pow (cbrt k) m) (sqrt (fma k (+ 10.0 k) 1.0)))))
15.0b	(sqrt (fma k (+ 10.0 k) 1.0))
15.0b	(sqrt (fma k (+ 10.0 k) 1.0))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-exp-log`
46×	`prod-exp`
31×	`div-exp`
25×	`add-sqr-sqrt`
22×	`add-cbrt-cube`
18×	`pow1`
16×	`cbrt-prod`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow-exp`
10×	`cbrt-unprod`
9×	`pow-to-exp` `associate-l`
7×	`associate-r`
6×	`pow1/3` `swap-sqr` `sqrt-prod`
5×	`pow-prod-down`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-*l/`

Counts

4 → 117

Calls

4 calls:

10.0ms	(* (cbrt k) (cbrt k))
56.0ms	(* a (* (/ (pow (* (cbrt k) (cbrt k)) m) (sqrt (fma k (+ 10.0 k) 1.0))) (/ (pow (cbrt k) m) (sqrt (fma k (+ 10.0 k) 1.0)))))
1.0ms	(sqrt (fma k (+ 10.0 k) 1.0))
2.0ms	(sqrt (fma k (+ 10.0 k) 1.0))

series682.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt k) (cbrt k))
382.0ms	(* a (* (/ (pow (* (cbrt k) (cbrt k)) m) (sqrt (fma k (+ 10.0 k) 1.0))) (/ (pow (cbrt k) m) (sqrt (fma k (+ 10.0 k) 1.0)))))
49.0ms	(sqrt (fma k (+ 10.0 k) 1.0))
54.0ms	(sqrt (fma k (+ 10.0 k) 1.0))

simplify818.0ms

Counts

129 → 129

Iterations

Useful iterations: done (808.0ms)

Iter	Nodes	Cost
0	239	2734
1	604	2327
2	2049	1636
done	5000	1578

prune366.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
2.3b	(* (* (cbrt a) (cbrt a)) (/ (cbrt a) (/ (fma k (+ 10.0 k) 1.0) (pow k m))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

290×	`times-frac`
163×	`add-sqr-sqrt`
155×	`associate-r`
142×	`add-cube-cbrt` `*-un-lft-identity`
88×	`cbrt-prod`
56×	`unpow-prod-down`
41×	`add-exp-log`
20×	`sqr-pow`
15×	`prod-exp` `add-cbrt-cube`
14×	`div-exp`
9×	`pow1` `cbrt-unprod` `unswap-sqr`
7×	`div-inv`
6×	`cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down`
2×	`pow-to-exp` `pow-exp`
1×	`associate-r/` `associate-l` `associate-/r/` `-commutative`

Counts

4 → 233

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
79.0ms	(* (* (cbrt a) (cbrt a)) (/ (cbrt a) (/ (fma k (+ 10.0 k) 1.0) (pow k m))))

series686.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt a)
183.0ms	(cbrt a)
176.0ms	(cbrt a)
143.0ms	(* (* (cbrt a) (cbrt a)) (/ (cbrt a) (/ (fma k (+ 10.0 k) 1.0) (pow k m))))

simplify741.0ms

Counts

245 → 245

Iterations

Useful iterations: done (734.0ms)

Iter	Nodes	Cost
0	483	5106
1	1422	4721
done	5001	4405

prune725.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes75.0ms

Accuracy

98.7% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.1b

bsearch40.0ms

Steps

Iters	Range		Point
6	5174162.241174624	45518631.428277716	5685825.471149627

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	68
1	40	68
done	40	68

end0.0ms

sample1.2s

Algorithm

intervals

Results

627.0ms	11812×	body	80	valid
132.0ms	4093×	body	80	nan