Details

sample65.0ms

Algorithm

intervals

Results

33.0ms	390×	body	80	valid
16.0ms	144×	body	80	nan

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2047
6	2047
5	655
4	215
3	97
2	52
1	26
0	12

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (+ k 10) k 1)
2.8b	(/ (* (pow k m) a) (fma (+ k 10) k 1))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

0.0ms	(fma (+ k 10) k 1)
15.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))

series189.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(fma (+ k 10) k 1)
168.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))

simplify1.0s

Counts

43 → 43

Iterations

Iter	Nodes
done	2000
3	2000
2	902
1	275
0	108

prune253.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (sqrt (fma (+ k 10) k 1)))
0.0b	(* (/ (pow k m) (sqrt (fma (+ k 10) k 1))) (/ a (sqrt (fma (+ k 10) k 1))))
15.0b	(sqrt (fma (+ k 10) k 1))
15.0b	(sqrt (fma (+ k 10) k 1))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-sqr-sqrt`
110×	`times-frac`
64×	`sqrt-prod`
61×	`*-un-lft-identity` `add-cube-cbrt`
46×	`associate-l`
30×	`add-exp-log`
24×	`unpow-prod-down`
22×	`associate-r`
21×	`unswap-sqr`
18×	`add-cbrt-cube`
12×	`sqr-pow`
11×	`div-exp`
8×	`pow1` `prod-exp`
6×	`associate-/r*`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 190

Calls

4 calls:

12.0ms	(/ a (sqrt (fma (+ k 10) k 1)))
20.0ms	(* (/ (pow k m) (sqrt (fma (+ k 10) k 1))) (/ a (sqrt (fma (+ k 10) k 1))))
1.0ms	(sqrt (fma (+ k 10) k 1))
1.0ms	(sqrt (fma (+ k 10) k 1))

series341.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ a (sqrt (fma (+ k 10) k 1)))
149.0ms	(* (/ (pow k m) (sqrt (fma (+ k 10) k 1))) (/ a (sqrt (fma (+ k 10) k 1))))
53.0ms	(sqrt (fma (+ k 10) k 1))
40.0ms	(sqrt (fma (+ k 10) k 1))

simplify1.2s

Counts

202 → 202

Iterations

Iter	Nodes
done	2001
2	2001
1	747
0	265

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (pow k m) (sqrt (fma (+ k 10) k 1))) a) (/ 1 (sqrt (fma (+ k 10) k 1))))
0.0b	(* (/ (pow k m) (sqrt (fma (+ k 10) k 1))) a)
15.0b	(sqrt (fma (+ k 10) k 1))
15.0b	(sqrt (fma (+ k 10) k 1))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-exp-log`
67×	`add-sqr-sqrt`
66×	`times-frac`
47×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
40×	`prod-exp`
39×	`sqrt-prod`
30×	`add-cbrt-cube`
25×	`div-exp` `associate-r`
20×	`unpow-prod-down`
13×	`pow1`
12×	`cbrt-unprod`
8×	`sqr-pow`
7×	`unswap-sqr`
6×	`cbrt-undiv`
5×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `div-inv`
1×	`frac-times` `associate-*r/` `un-div-inv`

Counts

4 → 173

Calls

4 calls:

51.0ms	(* (* (/ (pow k m) (sqrt (fma (+ k 10) k 1))) a) (/ 1 (sqrt (fma (+ k 10) k 1))))
14.0ms	(* (/ (pow k m) (sqrt (fma (+ k 10) k 1))) a)
1.0ms	(sqrt (fma (+ k 10) k 1))
1.0ms	(sqrt (fma (+ k 10) k 1))

series453.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (* (/ (pow k m) (sqrt (fma (+ k 10) k 1))) a) (/ 1 (sqrt (fma (+ k 10) k 1))))
205.0ms	(* (/ (pow k m) (sqrt (fma (+ k 10) k 1))) a)
37.0ms	(sqrt (fma (+ k 10) k 1))
34.0ms	(sqrt (fma (+ k 10) k 1))

simplify1.3s

Counts

185 → 185

Iterations

Iter	Nodes
done	2002
2	2002
1	742
0	276

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ a (sqrt (sqrt (fma (+ k 10) k 1)))) (sqrt (sqrt (fma (+ k 10) k 1))))
15.0b	(sqrt (fma (+ k 10) k 1))
15.0b	(sqrt (fma (+ k 10) k 1))
15.0b	(sqrt (fma (+ k 10) k 1))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

567×	`sqrt-prod`
549×	`times-frac`
296×	`add-sqr-sqrt`
293×	`*-un-lft-identity` `add-cube-cbrt`
31×	`associate-/l*`
11×	`div-inv`
9×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
7×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 385

Calls

4 calls:

16.0ms	(/ (/ a (sqrt (sqrt (fma (+ k 10) k 1)))) (sqrt (sqrt (fma (+ k 10) k 1))))
1.0ms	(sqrt (fma (+ k 10) k 1))
1.0ms	(sqrt (fma (+ k 10) k 1))
1.0ms	(sqrt (fma (+ k 10) k 1))

series229.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (/ a (sqrt (sqrt (fma (+ k 10) k 1)))) (sqrt (sqrt (fma (+ k 10) k 1))))
45.0ms	(sqrt (fma (+ k 10) k 1))
47.0ms	(sqrt (fma (+ k 10) k 1))
39.0ms	(sqrt (fma (+ k 10) k 1))

simplify1.3s

Counts

397 → 397

Iterations

Iter	Nodes
done	2000
2	2000
1	931
0	409

prune2.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes148.0ms

Accuracy

98.7% (0.0b remaining)

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

bsearch104.0ms

Steps

Iters	Range		Point
9	1.600959200568425e+50	2.0433273843028776e+57	8.121126551289328e+56

simplify10.0ms

Iterations

Iter	Nodes
done	38
1	38
0	31

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.1s	11958×	body	80	valid
566.0ms	4280×	body	80	nan