Details

sample90.0ms

Algorithm

intervals

Results

47.0ms	383×	body	80	valid
19.0ms	174×	body	80	nan

simplify2.7s

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (* 10 k))
0.0b	(+ (+ 1 (* 10 k)) (* k k))
0.0b	(* a (pow k m))
2.0b	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
16×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt` `add-log-exp`
7×	`associate-r`
6×	`fma-def` `prod-exp`
4×	`expm1-log1p-u` `pow1` `sum-log` `unpow-prod-down` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `flip3-+` `times-frac` `associate-l*` `flip-+` `unswap-sqr`
2×	`pow-to-exp` `cbrt-undiv` `+-commutative` `pow-exp` `associate-/r/` `cbrt-unprod` `sqr-pow`
1×	`associate-+l+` `clear-num` `frac-2neg` `-commutative` `div-inv` `associate-/l`

Counts

4 → 92

Calls

4 calls:

10.0ms	(+ 1 (* 10 k))
38.0ms	(+ (+ 1 (* 10 k)) (* k k))
23.0ms	(* a (pow k m))
51.0ms	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ 1 (* 10 k))
26.0ms	(+ (+ 1 (* 10 k)) (* k k))
77.0ms	(* a (pow k m))
161.0ms	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))

simplify2.2s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1681
1	480
0	177

prune599.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma (+ k 10) k 1) (pow k m))
2.0b	(/ a (/ (fma (+ k 10) k 1) (pow k m)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
100×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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×	`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 → 171

Calls

2 calls:

9.0ms	(/ (fma (+ k 10) k 1) (pow k m))
8.0ms	(/ a (/ (fma (+ k 10) k 1) (pow k m)))

series209.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(/ (fma (+ k 10) k 1) (pow k m))
122.0ms	(/ a (/ (fma (+ k 10) k 1) (pow k m)))

simplify2.3s

Counts

177 → 177

Iterations

Iter	Nodes
done	5003
2	3041
1	844
0	327

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma k (+ k 10) 1) (pow k m))
2.0b	(/ a (/ (fma k (+ k 10) 1) (pow k m)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
100×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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×	`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 → 171

Calls

2 calls:

6.0ms	(/ (fma k (+ k 10) 1) (pow k m))
8.0ms	(/ a (/ (fma k (+ k 10) 1) (pow k m)))

series257.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(/ (fma k (+ k 10) 1) (pow k m))
159.0ms	(/ a (/ (fma k (+ k 10) 1) (pow k m)))

simplify2.1s

Counts

177 → 177

Iterations

Iter	Nodes
done	5014
2	3043
1	844
0	327

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

2.0b	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))
6.2b	(cbrt (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))))
6.2b	(cbrt (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))))
6.2b	(cbrt (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
14×	`add-exp-log`
12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
9×	`add-cbrt-cube`
8×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `flip3-+` `div-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `associate-/r*` `pow1/3` `prod-exp`
2×	`cbrt-undiv`
1×	`pow-to-exp` `clear-num` `frac-2neg` `pow-exp` `cbrt-unprod` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

26.0ms	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))
11.0ms	(cbrt (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))))
20.0ms	(cbrt (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))))
22.0ms	(cbrt (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))))

series1.0s

Counts

4 → 12

Calls

4 calls:

181.0ms	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))
265.0ms	(cbrt (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))))
297.0ms	(cbrt (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))))
268.0ms	(cbrt (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))))

simplify1.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1727
1	475
0	179

prune778.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes264.0ms

Accuracy

98.6% (0.0b remaining)

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

bsearch97.0ms

Steps

Iters	Range		Point
6	1.0558091000171249e+107	4.3071813422759086e+107	3.050984953394394e+107

simplify9.0ms

Iterations

Iter	Nodes
done	34
1	34
0	28

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.1s	11968×	body	80	valid
613.0ms	4230×	body	80	nan