Details

sample37.0ms

Algorithm

intervals

Results

16.0ms	369×	body	80	valid
5.0ms	142×	body	80	nan

simplify105.0ms

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(* a (pow k m))
2.5b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

3.0ms	(+ 1.0 (* 10.0 k))
5.0ms	(* a (pow k m))
8.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ 1.0 (* 10.0 k))
57.0ms	(* a (pow k m))
120.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify55.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	436	523
1	2136	457
2	5001	439

prune219.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma k 10.0 1.0)
0.2b	(/ (pow k m) (/ (fma k k (fma k 10.0 1.0)) a))
5.7b	(/ (fma k k (fma k 10.0 1.0)) a)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 171

Calls

3 calls:

1.0ms	(fma k 10.0 1.0)
8.0ms	(/ (pow k m) (/ (fma k k (fma k 10.0 1.0)) a))
3.0ms	(/ (fma k k (fma k 10.0 1.0)) a)

series200.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(fma k 10.0 1.0)
110.0ms	(/ (pow k m) (/ (fma k k (fma k 10.0 1.0)) a))
52.0ms	(/ (fma k k (fma k 10.0 1.0)) a)

simplify86.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	705	1876
1	3255	1816
2	5001	1814

prune527.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)
5.7b	(/ (fma k k (fma k 10.0 1.0)) a)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
1.0ms	(cbrt k)
3.0ms	(/ (fma k k (fma k 10.0 1.0)) a)

series589.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt k)
177.0ms	(cbrt k)
178.0ms	(cbrt k)
49.0ms	(/ (fma k k (fma k 10.0 1.0)) a)

simplify58.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	150	331
1	393	308
2	1735	302
3	5001	293

prune308.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)
1.7b	(fma (/ k a) k (fma (/ 10.0 a) k (/ 1.0 a)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
1.0ms	(cbrt k)
1.0ms	(fma (/ k a) k (fma (/ 10.0 a) k (/ 1.0 a)))

series753.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt k)
358.0ms	(cbrt k)
178.0ms	(cbrt k)
43.0ms	(fma (/ k a) k (fma (/ 10.0 a) k (/ 1.0 a)))

simplify163.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	87	224
1	192	198
2	735	192
3	4420	188
4	5001	188

prune236.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes115.0ms

Accuracy

96.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.2b

bsearch67.0ms

Steps

Iters	Range		Point
9	3.2842495410106482e+143	2.5242783012259312e+148	4.516226200024594e+147

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	34
1	54	34
2	54	34

end0.0ms

sample1.1s

Algorithm

intervals

Results

546.0ms	11799×	body	80	valid
154.0ms	4268×	body	80	nan