Details

sample3.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 75%

Results

27.0ms

256×

body

valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	17
1	120	17
2	311	17
3	677	17
4	1422	17
5	2726	17
6	5001	17

prune7.0ms

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: 0.0b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)))
0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
0.0b	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

197×	`*-un-lft-identity`
81×	`times-frac`
65×	`add-sqr-sqrt`
50×	`distribute-lft-out`
49×	`add-cube-cbrt`
48×	`distribute-lft-out--`
40×	`distribute-rgt-neg-in`
28×	`distribute-lft-neg-in`
27×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
6×	`associate-/r*`
4×	`pow1` `neg-mul-1` `div-sub` `associate-/l/`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `+-commutative` `neg-sub0` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv` `distribute-neg-frac`
1×	`associate-+r-` `flip3--` `distribute-frac-neg` `unsub-neg` `flip--`

Counts

4 → 171

Calls

4 calls:

12.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)))
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
18.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
13.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)))
15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
19.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
24.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))

simplify55.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	570	1585
1	2005	1489
2	5001	1479

prune180.0ms

Filtered

110 candidates to 183 candidates (-66.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	181	3	184

Merged error: 0b

Counts

184 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.0b	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.2b	(* (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

133×	`*-un-lft-identity`
71×	`add-sqr-sqrt`
54×	`times-frac`
48×	`distribute-lft-out--`
43×	`add-cube-cbrt`
28×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
26×	`sqrt-prod`
19×	`pow1`
18×	`associate-/l*`
12×	`sqrt-div`
11×	`swap-sqr`
8×	`add-exp-log` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp` `difference-of-squares`
7×	`associate-r` `associate-l`
5×	`pow-prod-up`
4×	`frac-times` `neg-mul-1` `unswap-sqr`
3×	`pow-prod-down` `associate-/r*` `pow-sqr`
2×	`+-commutative` `associate-r/` `associate-l/` `sum-log` `associate-/l/` `distribute-neg-frac`
1×	`cbrt-undiv` `pow2` `neg-sub0` `flip3--` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `distribute-frac-neg` `div-exp` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod` `div-inv`

Counts

4 → 177

Calls

4 calls:

15.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
15.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
13.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
31.0ms	(* (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))))

series91.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
24.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
28.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
24.0ms	(* (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	453	2013
1	1706	1878
2	5002	1842

prune230.0ms

Filtered

108 candidates to 189 candidates (-75.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	189	3	192

Merged error: 0b

Counts

192 → 3

localize28.0ms

Local error

Found 4 expressions with local error:

1.1b	(+ (/ EAccept KbT) (+ (/ Ev KbT) 2.0))
1.1b	(- (+ (/ Vef KbT) (+ (/ EAccept KbT) (+ (/ Ev KbT) 2.0))) (/ mu KbT))
1.6b	(+ (/ Vef KbT) (+ (/ EAccept KbT) (+ (/ Ev KbT) 2.0)))
6.7b	(/ NaChar (- (+ (/ Vef KbT) (+ (/ EAccept KbT) (+ (/ Ev KbT) 2.0))) (/ mu KbT)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

102×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
39×	`distribute-lft-out`
32×	`times-frac` `add-log-exp`
20×	`frac-add` `distribute-lft-out--`
18×	`add-cube-cbrt`
15×	`sum-log`
12×	`frac-sub`
11×	`flip3-+` `flip-+`
10×	`difference-of-squares`
9×	`associate-/r*`
8×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `diff-log`
3×	`associate-/l*`
2×	`+-commutative` `associate-+r+` `flip3--` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `div-exp` `associate--l+` `clear-num` `div-inv`

Counts

4 → 125

Calls

4 calls:

12.0ms	(+ (/ EAccept KbT) (+ (/ Ev KbT) 2.0))
29.0ms	(- (+ (/ Vef KbT) (+ (/ EAccept KbT) (+ (/ Ev KbT) 2.0))) (/ mu KbT))
19.0ms	(+ (/ Vef KbT) (+ (/ EAccept KbT) (+ (/ Ev KbT) 2.0)))
26.0ms	(/ NaChar (- (+ (/ Vef KbT) (+ (/ EAccept KbT) (+ (/ Ev KbT) 2.0))) (/ mu KbT)))

series66.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (/ EAccept KbT) (+ (/ Ev KbT) 2.0))
21.0ms	(- (+ (/ Vef KbT) (+ (/ EAccept KbT) (+ (/ Ev KbT) 2.0))) (/ mu KbT))
9.0ms	(+ (/ Vef KbT) (+ (/ EAccept KbT) (+ (/ Ev KbT) 2.0)))
31.0ms	(/ NaChar (- (+ (/ Vef KbT) (+ (/ EAccept KbT) (+ (/ Ev KbT) 2.0))) (/ mu KbT)))

simplify60.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	592	1876
1	2135	1804
2	5002	1796

prune159.0ms

Filtered

90 candidates to 137 candidates (-52.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	137	3	140

Merged error: 0b

Counts

140 → 3

regimes956.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	17
1	35	17

end0.0ms

sample4.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 75%

Results

755.0ms	7997×	body	80	valid
2.0ms	2×	body	5120	exit
1.0ms	3×	body	640	valid

Details

sample3.2s

simplify43.0ms

prune7.0ms

localize22.0ms

rewrite64.0ms

series82.0ms

simplify55.0ms

prune180.0ms

localize25.0ms

rewrite81.0ms

series91.0ms

simplify61.0ms

prune230.0ms

localize28.0ms

rewrite91.0ms

series66.0ms

simplify60.0ms

prune159.0ms

regimes956.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.6s

Profiling