Details

sample78.0ms

Algorithm

intervals

Results

38.0ms	398×	body	80	valid
12.0ms	146×	body	80	nan

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5006
6	2177
5	655
4	215
3	97
2	52
1	26
0	12

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (+ k 10) k 1)
0.2b	(/ (pow k m) (fma (+ k 10) k 1))
1.6b	(* (/ (pow k m) (fma (+ k 10) k 1)) a)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
44×	`add-sqr-sqrt`
34×	`*-un-lft-identity` `add-cube-cbrt`
25×	`associate-l`
22×	`unpow-prod-down`
18×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`sqr-pow`
7×	`associate-/l*`
6×	`div-exp`
5×	`pow1`
4×	`prod-exp` `unswap-sqr`
3×	`expm1-log1p-u` `associate-/r` `associate-r*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `cbrt-undiv` `pow-exp` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `fma-udef`

Counts

3 → 110

Calls

3 calls:

0.0ms	(fma (+ k 10) k 1)
16.0ms	(/ (pow k m) (fma (+ k 10) k 1))
40.0ms	(* (/ (pow k m) (fma (+ k 10) k 1)) a)

series285.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(fma (+ k 10) k 1)
105.0ms	(/ (pow k m) (fma (+ k 10) k 1))
162.0ms	(* (/ (pow k m) (fma (+ k 10) k 1)) a)

simplify1.7s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	1527
1	488
0	206

prune697.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.6b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (+ k 10) k 1)
0.0b	(* (pow k m) a)
1.8b	(/ (* (pow k m) a) (fma (+ k 10) k 1))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
13×	`add-sqr-sqrt`
10×	`add-cbrt-cube`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
6×	`prod-exp`
4×	`unpow-prod-down` `div-exp`
3×	`expm1-log1p-u` `pow1` `associate-/r` `times-frac` `associate-r*` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-to-exp` `cbrt-undiv` `pow-exp` `cbrt-unprod` `sqr-pow`
1×	`clear-num` `frac-2neg` `-commutative` `fma-udef` `div-inv` `associate-/l`

Counts

3 → 65

Calls

3 calls:

0.0ms	(fma (+ k 10) k 1)
16.0ms	(* (pow k m) a)
21.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))

series325.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(fma (+ k 10) k 1)
169.0ms	(* (pow k m) a)
125.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))

simplify1.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1062
1	324
0	137

prune385.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (+ k 10) k 1)
0.3b	(/ (pow k m) (/ (fma (+ k 10) k 1) a))
2.4b	(/ (fma (+ k 10) k 1) a)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

172×	`times-frac`
95×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
42×	`unpow-prod-down`
18×	`add-exp-log`
16×	`associate-/r*`
14×	`sqr-pow`
10×	`add-cbrt-cube` `div-exp` `div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `clear-num` `frac-2neg` `pow-exp`
1×	`associate-/r/` `fma-udef`

Counts

3 → 174

Calls

3 calls:

0.0ms	(fma (+ k 10) k 1)
13.0ms	(/ (pow k m) (/ (fma (+ k 10) k 1) a))
9.0ms	(/ (fma (+ k 10) k 1) a)

series257.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(fma (+ k 10) k 1)
159.0ms	(/ (pow k m) (/ (fma (+ k 10) k 1) a))
61.0ms	(/ (fma (+ k 10) k 1) a)

simplify2.2s

Counts

183 → 183

Iterations

Iter	Nodes
done	5004
2	2431
1	783
0	322

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (+ k 10) k 1)
0.2b	(/ (pow k m) (fma (+ k 10) k 1))
1.6b	(* (/ (pow k m) (fma (+ k 10) k 1)) a)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
44×	`add-sqr-sqrt`
34×	`*-un-lft-identity` `add-cube-cbrt`
25×	`associate-l`
22×	`unpow-prod-down`
18×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`sqr-pow`
7×	`associate-/l*`
6×	`div-exp`
5×	`pow1`
4×	`prod-exp` `unswap-sqr`
3×	`expm1-log1p-u` `associate-/r` `associate-r*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `cbrt-undiv` `pow-exp` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `fma-udef`

Counts

3 → 110

Calls

3 calls:

0.0ms	(fma (+ k 10) k 1)
8.0ms	(/ (pow k m) (fma (+ k 10) k 1))
31.0ms	(* (/ (pow k m) (fma (+ k 10) k 1)) a)

series246.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(fma (+ k 10) k 1)
81.0ms	(/ (pow k m) (fma (+ k 10) k 1))
141.0ms	(* (/ (pow k m) (fma (+ k 10) k 1)) a)

simplify1.7s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	1527
1	488
0	206

prune672.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes171.0ms

Accuracy

98.3% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.9b

bsearch75.0ms

Steps

Iters	Range		Point
7	2.802632506075539e+90	1.0101875118888572e+92	3.765086051784335e+91

simplify7.0ms

Iterations

Iter	Nodes
done	35
1	35
0	29

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.7s	11942×	body	80	valid
414.0ms	4150×	body	80	nan