Details

sample312.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify45.0ms

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

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

191×	`*-un-lft-identity`
93×	`times-frac`
67×	`add-sqr-sqrt`
58×	`exp-prod`
55×	`add-cube-cbrt`
53×	`distribute-lft-out`
36×	`distribute-lft-out--`
33×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
12×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*` `add-log-exp`
6×	`difference-of-squares`
4×	`pow1` `div-sub`
3×	`neg-mul-1` `flip3-+` `flip-+` `div-inv`
2×	`cbrt-undiv` `neg-sub0` `frac-2neg` `div-exp` `clear-num` `associate-/r/` `associate-/l/`
1×	`+-commutative` `exp-neg` `associate-+r-` `exp-diff` `distribute-frac-neg` `unsub-neg` `sum-log` `rem-exp-log`

Counts

4 → 169

Calls

4 calls:

16.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))))
12.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)))
15.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)

series119.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))))
28.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)))
21.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)

simplify54.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	566	1531
1	1914	1419
2	5001	1407

prune192.0ms

Filtered

109 candidates to 181 candidates (-66.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	180	2	182

Merged error: 0b

Counts

182 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite390.0ms

Algorithm

rewrite-expression-head

Rules

2396×	`*-un-lft-identity`
1108×	`exp-prod`
1093×	`times-frac`
1092×	`distribute-lft-out--`
1000×	`sqrt-pow1`
566×	`add-sqr-sqrt`
476×	`distribute-rgt-neg-in`
458×	`add-cube-cbrt`
408×	`distribute-lft-neg-in`
191×	`pow-prod-down`
159×	`pow-prod-up`
157×	`pow-sqr`
48×	`neg-mul-1` `distribute-lft-out` `difference-of-squares`
19×	`pow1`
18×	`sqrt-prod`
12×	`sqrt-div`
11×	`div-sub`
9×	`neg-sub0` `div-inv` `associate-/l*`
8×	`add-exp-log` `exp-neg` `pow1/2` `exp-diff` `distribute-frac-neg` `swap-sqr` `add-cbrt-cube`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`frac-times` `unswap-sqr`
3×	`associate-/r*`
2×	`associate-r/` `associate-l/` `rem-exp-log` `associate-/l/`
1×	`cbrt-undiv` `pow2` `associate-+r-` `frac-2neg` `flip3-+` `pow-plus` `sqrt-unprod` `div-exp` `unsub-neg` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 745

Calls

4 calls:

215.0ms	(* (sqrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))) (sqrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
15.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
15.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
16.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)

series84.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (sqrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))) (sqrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
22.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
21.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
16.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)

simplify139.0ms

Algorithm

egg-herbie

Counts

757 → 757

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	891	5616
1	3699	5444
2	5001	4858

prune359.0ms

Filtered

207 candidates to 757 candidates (-265.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	757	0	757
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	757	2	759

Merged error: 0b

Counts

759 → 2

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
0.1b	(/ (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))) (sqrt NaChar))
0.1b	(/ (sqrt NaChar) (/ (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))) (sqrt NaChar)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

450×	`*-un-lft-identity`
441×	`times-frac`
238×	`add-sqr-sqrt`
226×	`add-cube-cbrt`
186×	`sqrt-prod`
97×	`distribute-lft-out`
58×	`exp-prod`
37×	`associate-/r*`
36×	`distribute-lft-out--`
33×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
19×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube`
11×	`div-inv`
6×	`difference-of-squares`
5×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`pow1` `div-sub` `associate-/l/`
3×	`neg-mul-1` `frac-2neg` `clear-num`
2×	`neg-sub0` `flip3-+` `flip-+`
1×	`exp-neg` `associate-+r-` `exp-diff` `distribute-frac-neg` `unsub-neg` `associate-/r/` `rem-exp-log`

Counts

4 → 389

Calls

4 calls:

19.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
13.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
16.0ms	(/ (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))) (sqrt NaChar))
21.0ms	(/ (sqrt NaChar) (/ (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))) (sqrt NaChar)))

series428.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
324.0ms	(/ (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))) (sqrt NaChar))
64.0ms	(/ (sqrt NaChar) (/ (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))) (sqrt NaChar)))

simplify80.0ms

Algorithm

egg-herbie

Counts

401 → 401

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1117	6369
1	5001	5891

prune337.0ms

Filtered

190 candidates to 401 candidates (-111.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	401	0	401
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	401	2	403

Merged error: 0b

Counts

403 → 2

regimes782.0ms

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	37	26
1	37	26

end0.0ms

sample1.6s

Algorithm

intervals

Results

736.0ms

8000×

body

valid

Details

sample312.0ms

simplify45.0ms

prune7.0ms

localize23.0ms

rewrite65.0ms

series119.0ms

simplify54.0ms

prune192.0ms

localize25.0ms

rewrite390.0ms

series84.0ms

simplify139.0ms

prune359.0ms

localize38.0ms

rewrite90.0ms

series428.0ms

simplify80.0ms

prune337.0ms

regimes782.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Profiling