Details

sample53.0ms

Algorithm

intervals

Results

29.0ms	395×	body	80	valid
6.0ms	149×	body	80	nan

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	24	7
1	48	7
2	96	6
3	256	6
4	891	6
5	3963	6
6	5002	6

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 3.2b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.0b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
3.2b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
45×	`times-frac`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt`
30×	`associate-l`
22×	`unpow-prod-down`
20×	`add-exp-log`
12×	`add-cbrt-cube`
8×	`sqr-pow`
7×	`pow1` `associate-r` `associate-/l*`
6×	`div-exp`
5×	`prod-exp` `unswap-sqr`
4×	`associate-/r/`
3×	`flip3-+` `associate-/r*` `cbrt-unprod` `flip-+` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `associate-r/` `pow-prod-down` `pow-exp` `-commutative` `div-inv`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-*l/` `clear-num` `distribute-lft-out`

Counts

3 → 120

Calls

3 calls:

6.0ms	(* k (+ 10.0 k))
9.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
14.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series216.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* k (+ 10.0 k))
68.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
102.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify70.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	608	1105
1	2523	1041
2	5001	1035

prune284.0ms

Filtered

129 candidates to 98 candidates (76.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	127	4	131

Merged error: 3.1b

Counts

131 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))) (* (sqrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))) a))
0.1b	(* (sqrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))) a)
7.5b	(sqrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))
7.5b	(sqrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

112×	`sqrt-prod`
93×	`times-frac`
87×	`add-sqr-sqrt`
63×	`add-cube-cbrt` `*-un-lft-identity`
60×	`associate-l`
39×	`unpow-prod-down`
15×	`sqr-pow`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`rem-sqrt-square` `associate-/r/`
7×	`sqrt-div`
5×	`unswap-sqr`
4×	`flip3-+` `associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*r/`

Counts

4 → 180

Calls

4 calls:

26.0ms	(* (sqrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))) (* (sqrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))) a))
15.0ms	(* (sqrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))) a)
9.0ms	(sqrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))
9.0ms	(sqrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))

series524.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (sqrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))) (* (sqrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))) a))
210.0ms	(* (sqrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))) a)
101.0ms	(sqrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))
110.0ms	(sqrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))

simplify80.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	715	2398
1	2527	2209
2	5001	2162

prune599.0ms

Filtered

192 candidates to 162 candidates (84.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	192	4	196

Merged error: 3.1b

Counts

196 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
1.3b	(* (* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) (* (cbrt a) (cbrt a))) (cbrt a))
1.8b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) (* (cbrt a) (cbrt a)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-exp-log`
33×	`prod-exp`
28×	`add-sqr-sqrt` `associate-l`
24×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-cbrt-cube`
18×	`pow1`
17×	`cbrt-unprod`
12×	`div-exp`
10×	`unpow-prod-down`
9×	`cbrt-prod` `pow-prod-down`
7×	`associate-r`
4×	`cbrt-undiv` `pow-to-exp` `pow-exp` `add-log-exp` `unswap-sqr` `sqr-pow`
3×	`associate-*l/`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`flip3-+` `flip-+` `div-inv`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
18.0ms	(* (* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) (* (cbrt a) (cbrt a))) (cbrt a))
16.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) (* (cbrt a) (cbrt a)))

series679.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt a)
181.0ms	(cbrt a)
120.0ms	(* (* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) (* (cbrt a) (cbrt a))) (cbrt a))
199.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) (* (cbrt a) (cbrt a)))

simplify79.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	678	1365
1	2967	1066
2	5001	1016

prune303.0ms

Filtered

122 candidates to 88 candidates (72.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	122	4	126

Merged error: 3.1b

Counts

126 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

3.2b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)
3.2b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)
5.5b	(sqrt (* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a))
5.5b	(sqrt (* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt` `associate-l`
48×	`times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log`
20×	`unpow-prod-down`
14×	`pow1` `add-cbrt-cube`
8×	`prod-exp` `unswap-sqr` `sqr-pow`
6×	`div-exp` `associate-r`
4×	`sqrt-pow1` `pow-prod-down` `associate-*l/` `associate-/r/` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `flip3-+` `pow1/2` `sqrt-div` `pow-exp` `sqrt-prod` `*-commutative` `flip-+` `div-inv`

Counts

4 → 124

Calls

4 calls:

14.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)
14.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)
10.0ms	(sqrt (* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a))
10.0ms	(sqrt (* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a))

series773.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)
102.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)
283.0ms	(sqrt (* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a))
287.0ms	(sqrt (* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a))

simplify57.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	521	1300
1	1907	1190
2	5001	1168

prune416.0ms

Filtered

136 candidates to 112 candidates (82.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	136	4	140

Merged error: 3.1b

Counts

140 → 4

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

841.0ms	11971×	body	80	valid
184.0ms	4195×	body	80	nan

Details

sample53.0ms

simplify108.0ms

prune7.0ms

localize9.0ms

rewrite34.0ms

series216.0ms

simplify70.0ms

prune284.0ms

localize15.0ms

rewrite68.0ms

series524.0ms

simplify80.0ms

prune599.0ms

localize17.0ms

rewrite41.0ms

series679.0ms

simplify79.0ms

prune303.0ms

localize11.0ms

rewrite53.0ms

series773.0ms

simplify57.0ms

prune416.0ms

regimes67.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Profiling