Details

sample91.0ms

Algorithm

intervals

Results

56.0ms	389×	body	80	valid
14.0ms	114×	body	80	nan

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
6	2068
5	649
4	212
3	94
2	50
1	24
0	12

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize23.0ms

Local error

Found 1 expressions with local error:

2.6b	(/ (* (pow k m) a) (fma k (+ k 10) 1))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

10.0ms

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

series108.0ms

Counts

1 → 3

Calls

1 calls:

108.0ms

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

simplify1.6s

Counts

29 → 29

Iterations

Iter	Nodes
3	4400
2	887
1	261
0	100

prune416.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 1 (fma k (+ k 10) 1))
2.5b	(* (* (pow k m) a) (/ 1 (fma k (+ k 10) 1)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-exp-log`
28×	`prod-exp`
18×	`times-frac`
17×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube`
13×	`associate-r`
10×	`div-exp`
6×	`cbrt-unprod`
5×	`pow1` `rec-exp` `1-exp`
4×	`pow-to-exp` `pow-exp`
3×	`cbrt-undiv` `associate-/r` `associate-/l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`clear-num` `frac-2neg` `associate-l` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 82

Calls

2 calls:

4.0ms	(/ 1 (fma k (+ k 10) 1))
20.0ms	(* (* (pow k m) a) (/ 1 (fma k (+ k 10) 1)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ 1 (fma k (+ k 10) 1))
117.0ms	(* (* (pow k m) a) (/ 1 (fma k (+ k 10) 1)))

simplify4.4s

Counts

88 → 88

Iterations

Iter	Nodes
3	4980
2	1336
1	438
0	163

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (pow k m) (/ (fma k (+ k 10) 1) a))
5.2b	(/ (fma k (+ k 10) 1) a)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 163

Calls

2 calls:

8.0ms	(/ (pow k m) (/ (fma k (+ k 10) 1) a))
4.0ms	(/ (fma k (+ k 10) 1) a)

series178.0ms

Counts

2 → 6

Calls

2 calls:

136.0ms	(/ (pow k m) (/ (fma k (+ k 10) 1) a))
41.0ms	(/ (fma k (+ k 10) 1) a)

simplify971.0ms

Counts

169 → 169

Iterations

Iter	Nodes
2	2260
1	768
0	314

prune2.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (* (pow k m) a) (* (cbrt (/ 1 (fma k (+ k 10) 1))) (cbrt (/ 1 (fma k (+ k 10) 1)))))
16.8b	(cbrt (/ 1 (fma k (+ k 10) 1)))
16.8b	(cbrt (/ 1 (fma k (+ k 10) 1)))
16.8b	(cbrt (/ 1 (fma k (+ k 10) 1)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
28×	`add-exp-log`
27×	`times-frac`
25×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`prod-exp`
12×	`add-cbrt-cube`
9×	`pow1`
8×	`cbrt-unprod`
7×	`cbrt-div`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `div-inv`
2×	`pow-to-exp` `pow-exp`
1×	`frac-times` `associate-r` `associate-l` `associate-l/` `-commutative`

Counts

4 → 105

Calls

4 calls:

69.0ms	(* (* (pow k m) a) (* (cbrt (/ 1 (fma k (+ k 10) 1))) (cbrt (/ 1 (fma k (+ k 10) 1)))))
3.0ms	(cbrt (/ 1 (fma k (+ k 10) 1)))
3.0ms	(cbrt (/ 1 (fma k (+ k 10) 1)))
3.0ms	(cbrt (/ 1 (fma k (+ k 10) 1)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(* (* (pow k m) a) (* (cbrt (/ 1 (fma k (+ k 10) 1))) (cbrt (/ 1 (fma k (+ k 10) 1)))))
60.0ms	(cbrt (/ 1 (fma k (+ k 10) 1)))
89.0ms	(cbrt (/ 1 (fma k (+ k 10) 1)))
84.0ms	(cbrt (/ 1 (fma k (+ k 10) 1)))

simplify2.4s

Counts

117 → 117

Iterations

Iter	Nodes
3	4527
2	1261
1	434
0	180

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes189.0ms

Accuracy

98% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.8b

bsearch88.0ms

Steps

Iters	Range		Point
9	5.2740680902670776e+109	8.372084177349568e+117	7.008944406089647e+111

simplify5.0ms

Iterations

Iter	Nodes
2	37
1	37
0	29

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.8s	11814×	body	80	valid
510.0ms	4228×	body	80	nan