Details

sample39.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	49	17
1	120	17
2	311	17
3	677	17
4	1425	17
5	2733	17
6	5001	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite904.0ms

Algorithm

rewrite-expression-head

Rules

342×	`*-un-lft-identity`
162×	`times-frac`
118×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
89×	`exp-prod`
84×	`distribute-lft-out` `distribute-lft-out--`
70×	`distribute-rgt-neg-in`
49×	`distribute-lft-neg-in`
27×	`associate-/l*`
14×	`difference-of-squares`
8×	`add-exp-log` `div-sub` `add-cbrt-cube`
7×	`neg-mul-1`
6×	`associate-/r*` `add-log-exp`
4×	`pow1` `neg-sub0` `expm1-log1p-u` `exp-diff` `log1p-expm1-u` `div-inv` `associate-/l/`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `distribute-frac-neg` `div-exp` `unsub-neg` `clear-num` `rem-exp-log` `distribute-neg-frac`
1×	`exp-neg` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

4 → 265

Calls

4 calls:

263.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
143.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
314.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
169.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series227.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
55.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
55.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
61.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify57.0ms

Algorithm

egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	545	2049
1	1964	1946
2	5001	1911

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (- (- (- Ec Vef) EDonor) mu)))
0.6b	(cbrt KbT)
0.6b	(cbrt KbT)
0.6b	(cbrt KbT)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
27×	`cbrt-prod`
14×	`add-sqr-sqrt`
12×	`distribute-lft-out--`
10×	`add-cube-cbrt`
7×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `distribute-neg-frac` `difference-of-squares`
1×	`neg-mul-1` `flip3--` `flip--`

Counts

4 → 69

Calls

4 calls:

76.0ms	(cbrt (- (- (- (- Ec Vef) EDonor) mu)))
0.0ms	(cbrt KbT)
0.0ms	(cbrt KbT)
1.0ms	(cbrt KbT)

series761.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(cbrt (- (- (- (- Ec Vef) EDonor) mu)))
183.0ms	(cbrt KbT)
175.0ms	(cbrt KbT)
175.0ms	(cbrt KbT)

simplify52.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	198	423
1	483	398
2	1897	388
3	5002	386

prune552.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.2b	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.2b	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.2b	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
36×	`distribute-lft-out`
31×	`exp-prod`
27×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`cbrt-prod` `distribute-rgt-neg-in`
6×	`cbrt-div` `exp-diff` `div-sub`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `neg-sub0` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`exp-neg` `pow1/3` `distribute-frac-neg`
1×	`associate-+r-` `unsub-neg` `div-inv` `rem-exp-log`

Counts

4 → 89

Calls

4 calls:

164.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
302.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
304.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
305.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
84.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
85.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
84.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

simplify82.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 4 (74.0ms)

Iter	Nodes	Cost
0	192	799
1	518	741
2	1610	729
3	4563	712
4	5001	706

prune462.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.2b	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.2b	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.3b	(cbrt (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-div`
6×	`exp-diff` `div-sub`
4×	`pow1` `add-exp-log` `neg-sub0` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cube-div` `exp-neg` `unpow-prod-down` `cube-prod` `distribute-frac-neg`
1×	`cube-mult` `associate-+r-` `unpow3` `unsub-neg` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 71

Calls

4 calls:

301.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
303.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
304.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
96.0ms	(cbrt (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3))

series314.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
85.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
85.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
58.0ms	(cbrt (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	211	822
1	638	773
2	1967	761
3	5001	731

prune453.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes265.0ms

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	42	36
1	42	36

end0.0ms

sample1.0s

Algorithm

intervals

Results

617.0ms	7998×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid