Details

sample34.0ms

Algorithm

intervals

Results

14.0ms	369×	body	80	valid
5.0ms	141×	body	80	nan

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	7
1	53	5
2	106	5
3	269	5
4	904	5
5	3976	5
6	5001	5

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

5.0ms	(* a (pow k m))
10.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
13.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series382.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* a (pow k m))
208.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
116.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify58.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	419	575
1	2040	495
2	5002	476

prune234.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.3b	(/ (pow k m) (+ (+ 1.0 (* 10.0 k)) (* k k)))
0.7b	(* a (/ (pow k m) (+ (+ 1.0 (* 10.0 k)) (* k k))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt` `times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
27×	`associate-r`
22×	`unpow-prod-down`
18×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`add-log-exp` `sqr-pow`
7×	`associate-/l*`
6×	`div-exp`
5×	`pow1`
4×	`prod-exp` `associate-/r/` `unswap-sqr`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `associate-l` `associate-/r*` `sum-log` `flip-+` `log1p-expm1-u`
2×	`cbrt-undiv` `pow-to-exp` `pow-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `associate-+l+` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

3 → 119

Calls

3 calls:

10.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
16.0ms	(/ (pow k m) (+ (+ 1.0 (* 10.0 k)) (* k k)))
32.0ms	(* a (/ (pow k m) (+ (+ 1.0 (* 10.0 k)) (* k k))))

series202.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
67.0ms	(/ (pow k m) (+ (+ 1.0 (* 10.0 k)) (* k k)))
118.0ms	(* a (/ (pow k m) (+ (+ 1.0 (* 10.0 k)) (* k k))))

simplify72.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	578	1299
1	2710	1175
2	5002	1152

prune352.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (fma k k (fma k 10.0 1.0)) a) (pow k m))
0.0b	(fma k 10.0 1.0)
0.2b	(/ 1 (/ (/ (fma k k (fma k 10.0 1.0)) a) (pow k m)))
3.8b	(/ (fma k k (fma k 10.0 1.0)) a)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

1073×	`times-frac`
496×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
198×	`unpow-prod-down`
105×	`associate-/r*`
68×	`add-exp-log`
66×	`sqr-pow`
51×	`div-exp`
43×	`div-inv`
20×	`add-cbrt-cube`
19×	`associate-/l*`
10×	`cbrt-undiv`
8×	`pow-to-exp` `pow-exp`
7×	`rec-exp` `1-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-/r/` `fma-udef` `associate-/l/` `inv-pow`

Counts

4 → 593

Calls

4 calls:

7.0ms	(/ (/ (fma k k (fma k 10.0 1.0)) a) (pow k m))
0.0ms	(fma k 10.0 1.0)
22.0ms	(/ 1 (/ (/ (fma k k (fma k 10.0 1.0)) a) (pow k m)))
2.0ms	(/ (fma k k (fma k 10.0 1.0)) a)

series299.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(/ (/ (fma k k (fma k 10.0 1.0)) a) (pow k m))
31.0ms	(fma k 10.0 1.0)
114.0ms	(/ 1 (/ (/ (fma k k (fma k 10.0 1.0)) a) (pow k m)))
45.0ms	(/ (fma k k (fma k 10.0 1.0)) a)

simplify124.0ms

Algorithm

egg-herbie

Counts

605 → 605

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2064	8184
1	5001	7772

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
0.7b	(* a (/ (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
16.4b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
16.4b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

1148×	`times-frac`
609×	`add-sqr-sqrt`
583×	`sqrt-prod`
553×	`add-cube-cbrt` `*-un-lft-identity`
294×	`associate-r`
238×	`unpow-prod-down`
82×	`sqr-pow`
48×	`associate-/l*`
34×	`sqrt-div`
30×	`add-exp-log` `associate-/r/`
18×	`add-cbrt-cube`
17×	`flip3-+` `flip-+`
15×	`div-inv` `unswap-sqr`
14×	`div-exp`
8×	`pow1`
6×	`cbrt-undiv` `associate-/r*`
5×	`prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp` `hypot-def`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

4 → 731

Calls

4 calls:

46.0ms	(/ (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
136.0ms	(* a (/ (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
11.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
11.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
120.0ms	(* a (/ (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
47.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
55.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify174.0ms

Algorithm

egg-herbie

Counts

743 → 743

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	2045	15275
1	5001	14196

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample960.0ms

Algorithm

intervals

Results

480.0ms	11984×	body	80	valid
134.0ms	4172×	body	80	nan