Details

Time bar (total: 5.3s)

sample54.0ms

Algorithm
intervals
Results
27.0ms256×body80valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04917
112017
231117
367717
4142517
5273317
6500117

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

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:
18.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
15.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
20.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
14.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

series299.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
128.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
58.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
51.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify70.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
06521963
123111845
250011820

prune726.0ms

Filtered
215 candidates to 135 candidates (62.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2132215
Fresh000
Picked011
Done000
Total2133216

Merged error: 0b

Counts
216 → 3

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt NdChar) (cbrt NdChar))
0.6b
(cbrt NdChar)
0.6b
(cbrt NdChar)
0.6b
(cbrt NdChar)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt NdChar) (cbrt NdChar))
1.0ms
(cbrt NdChar)
1.0ms
(cbrt NdChar)
1.0ms
(cbrt NdChar)

series737.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt NdChar) (cbrt NdChar))
178.0ms
(cbrt NdChar)
175.0ms
(cbrt NdChar)
179.0ms
(cbrt NdChar)

simplify95.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune454.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done011
Total93396

Merged error: 0b

Counts
96 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.9b
(+ (/ mu KbT) (/ EDonor KbT))
1.9b
(+ (/ Vef KbT) (+ (/ mu KbT) (/ EDonor KbT)))
2.0b
(- (+ 2.0 (+ (/ Vef KbT) (+ (/ mu KbT) (/ EDonor KbT)))) (/ Ec KbT))
6.7b
(/ NdChar (- (+ 2.0 (+ (/ Vef KbT) (+ (/ mu KbT) (/ EDonor KbT)))) (/ Ec KbT)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
311×*-un-lft-identity
127×distribute-lft-out
119×times-frac
118×add-sqr-sqrt
93×add-cube-cbrt
78×prod-diff
26×fma-def
25×add-log-exp
20×distribute-lft-out--
11×div-inv
10×sum-log difference-of-squares
9×associate-/r*
6×add-exp-log fma-neg add-cbrt-cube
5×flip3-+ frac-add flip-+
4×pow1 expm1-log1p-u diff-log associate-/r/ frac-sub log1p-expm1-u
3×associate-/l*
2×+-commutative flip3-- flip--
1×cbrt-undiv sub-neg associate-+r+ distribute-rgt-out frac-2neg div-exp associate--l+ clear-num
Counts
4 → 235
Calls
4 calls:
12.0ms
(+ (/ mu KbT) (/ EDonor KbT))
26.0ms
(+ (/ Vef KbT) (+ (/ mu KbT) (/ EDonor KbT)))
31.0ms
(- (+ 2.0 (+ (/ Vef KbT) (+ (/ mu KbT) (/ EDonor KbT)))) (/ Ec KbT))
35.0ms
(/ NdChar (- (+ 2.0 (+ (/ Vef KbT) (+ (/ mu KbT) (/ EDonor KbT)))) (/ Ec KbT)))

series184.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (/ mu KbT) (/ EDonor KbT))
18.0ms
(+ (/ Vef KbT) (+ (/ mu KbT) (/ EDonor KbT)))
59.0ms
(- (+ 2.0 (+ (/ Vef KbT) (+ (/ mu KbT) (/ EDonor KbT)))) (/ Ec KbT))
91.0ms
(/ NdChar (- (+ 2.0 (+ (/ Vef KbT) (+ (/ mu KbT) (/ EDonor KbT)))) (/ Ec KbT)))

simplify98.0ms

Algorithm
egg-herbie
Counts
247 → 247
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
08193907
128993113
250012946

prune738.0ms

Filtered
247 candidates to 129 candidates (52.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2470247
Fresh000
Picked011
Done022
Total2473250

Merged error: 0b

Counts
250 → 3

regimes340.0ms

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

sample1.1s

Algorithm
intervals
Results
748.0ms7999×body80valid
2.0ms2×body5120exit
0.0ms1×body320valid

Profiling

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