Details

sample6.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results

22.0ms

256×

body

valid

simplify46.0ms

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

prune11.0ms

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

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

262×	`*-un-lft-identity`
108×	`times-frac`
85×	`distribute-lft-out`
78×	`add-sqr-sqrt`
62×	`add-cube-cbrt`
49×	`distribute-rgt-neg-in`
48×	`distribute-lft-out--`
31×	`exp-prod`
28×	`distribute-lft-neg-in`
27×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
7×	`div-sub` `add-log-exp`
6×	`associate-/r*`
4×	`pow1` `neg-mul-1` `associate-/l/`
3×	`neg-sub0` `exp-diff` `div-inv`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `flip3-+` `div-exp` `unsub-neg` `clear-num` `flip-+` `distribute-neg-frac`
1×	`+-commutative` `flip3--` `distribute-frac-neg` `sum-log` `flip--` `rem-exp-log`

Counts

4 → 201

Calls

4 calls:

16.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
13.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
14.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
15.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)

series81.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
24.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
21.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
16.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify55.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	549	1678
1	1953	1583
2	5002	1572

prune188.0ms

Filtered

119 candidates to 213 candidates (-79.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	212	2	214

Merged error: 0.0b

Counts

214 → 2

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

299×	`*-un-lft-identity`
135×	`times-frac`
131×	`add-sqr-sqrt`
96×	`distribute-lft-out--`
87×	`add-cube-cbrt`
65×	`distribute-rgt-neg-in`
56×	`distribute-lft-neg-in`
42×	`distribute-lft-out`
36×	`associate-/l*`
31×	`exp-prod`
26×	`sqrt-prod`
19×	`pow1`
16×	`difference-of-squares`
12×	`sqrt-div`
11×	`swap-sqr`
10×	`add-exp-log` `add-cbrt-cube`
8×	`neg-mul-1` `sqrt-pow1` `pow1/2`
7×	`associate-r` `associate-l`
6×	`flip3-+` `associate-/r*` `flip-+`
5×	`div-sub` `pow-prod-up` `add-log-exp`
4×	`frac-times` `associate-/l/` `distribute-neg-frac` `unswap-sqr`
3×	`neg-sub0` `exp-diff` `pow-prod-down` `pow-sqr` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `associate-r/` `distribute-frac-neg` `div-exp` `associate-l/` `clear-num` `flip--`
1×	`pow2` `associate-+r-` `pow-plus` `sqrt-unprod` `unsub-neg` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `rem-exp-log`

Counts

4 → 286

Calls

4 calls:

18.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
15.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
15.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
46.0ms	(* (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))))

series81.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
15.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
15.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
25.0ms	(* (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

298 → 298

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	533	2796
1	1989	2629
2	5001	2592

prune338.0ms

Filtered

162 candidates to 298 candidates (-84.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	298	0	298
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	298	2	300

Merged error: 0.0b

Counts

300 → 2

regimes883.0ms

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

sample8.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results

771.0ms	7996×	body	80	valid
2.0ms	3×	body	5120	exit
1.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample6.8s

simplify46.0ms

prune11.0ms

localize23.0ms

rewrite68.0ms

series81.0ms

simplify55.0ms

prune188.0ms

localize32.0ms

rewrite106.0ms

series81.0ms

simplify72.0ms

prune338.0ms

regimes883.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample8.4s

Profiling