Details

Time bar (total: 7.7s)

sample40.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04917
112017
231117
367717
4142517
5273317
6500117

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
213×*-un-lft-identity
93×times-frac
75×add-sqr-sqrt
59×add-cube-cbrt
53×distribute-lft-out
48×distribute-lft-out--
40×distribute-rgt-neg-in
30×associate-/l*
28×distribute-lft-neg-in
10×add-exp-log associate-/r* add-cbrt-cube
8×difference-of-squares
6×add-log-exp
4×pow1 expm1-log1p-u neg-mul-1 div-sub log1p-expm1-u associate-/l/
3×cbrt-undiv fma-def frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
2×neg-sub0 associate-/r/ distribute-neg-frac
1×+-commutative associate-+r- flip3-- distribute-frac-neg unsub-neg sum-log flip--
Counts
4 → 203
Calls
4 calls:
13.0ms
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
16.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
14.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
27.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series331.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
135.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
58.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
63.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify71.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06891963
124211845
250011820

prune896.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b
(pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3)
0.2b
(/ (+ (pow 1.0 3) (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3)) (fma (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (- (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 1.0) (* 1.0 1.0)))
5.1b
(- (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 1.0)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
240×*-un-lft-identity
108×times-frac
90×add-sqr-sqrt
72×add-cube-cbrt
56×distribute-lft-out
49×distribute-lft-out--
37×distribute-rgt-neg-in
32×pow-pow
31×exp-prod
28×distribute-lft-neg-in
27×associate-/l*
19×unpow-prod-down cube-prod
9×prod-diff add-cbrt-cube difference-of-squares
8×add-exp-log
6×associate-/r* add-log-exp
5×pow1
4×expm1-log1p-u neg-mul-1 div-sub sum-cubes log1p-expm1-u associate-/l/
3×cube-div pow-unpow exp-diff fma-neg div-inv
2×cbrt-undiv neg-sub0 flip3-- frac-2neg div-exp clear-num flip-- distribute-neg-frac
1×cube-mult pow-to-exp associate-+r- sub-neg flip3-+ diff-log unpow3 distribute-frac-neg unsub-neg pow-exp flip-+ rem-cube-cbrt sqr-pow
Counts
4 → 235
Calls
4 calls:
22.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
19.0ms
(pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3)
28.0ms
(/ (+ (pow 1.0 3) (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3)) (fma (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (- (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 1.0) (* 1.0 1.0)))
20.0ms
(- (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 1.0)

series912.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
97.0ms
(pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3)
684.0ms
(/ (+ (pow 1.0 3) (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3)) (fma (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (- (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 1.0) (* 1.0 1.0)))
76.0ms
(- (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 1.0)

simplify113.0ms

Algorithm
egg-herbie
Counts
247 → 247
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07863868
131663541
250033531

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
378×*-un-lft-identity
201×times-frac
180×add-sqr-sqrt
120×add-cube-cbrt
98×sqrt-prod
96×distribute-lft-out--
68×distribute-rgt-neg-in
66×distribute-lft-out
56×distribute-lft-neg-in
45×associate-/l*
29×swap-sqr
21×associate-*r* associate-*l*
19×pow1
16×difference-of-squares
12×add-exp-log add-cbrt-cube
9×associate-/r* unswap-sqr
8×neg-mul-1 sqrt-pow1 pow1/2 associate-/r/
7×div-inv
6×associate-/l/
5×flip3-+ div-sub pow-prod-up flip-+
4×expm1-log1p-u sqrt-div log1p-expm1-u distribute-neg-frac add-log-exp
3×cbrt-undiv neg-sub0 frac-2neg div-exp pow-prod-down clear-num pow-sqr
2×flip3-- distribute-frac-neg flip--
1×pow2 frac-times associate-+r- pow-plus sqrt-unprod associate-*r/ unsub-neg associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 354
Calls
4 calls:
18.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
22.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
22.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
49.0ms
(* (sqrt (/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (sqrt (/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))))

series343.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
56.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
59.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
172.0ms
(* (sqrt (/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (sqrt (/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))))

simplify114.0ms

Algorithm
egg-herbie
Counts
366 → 366
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
08134034
136763799
250013743

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes378.0ms

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)

IterNodesCost
03517
13517

end0.0ms

sample1.0s

Algorithm
intervals
Results
575.0ms8000×body80valid
1.0ms1×body10240exit