Details

sample43.0ms

Algorithm

intervals

Results

21.0ms

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	1425	17
5	2733	17
6	5001	17

prune9.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

130×	`*-un-lft-identity`
66×	`times-frac`
62×	`add-sqr-sqrt`
48×	`distribute-lft-out--`
46×	`add-cube-cbrt`
28×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
21×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
7×	`associate-/r*`
6×	`fma-def` `distribute-lft-out`
4×	`pow1` `expm1-log1p-u` `neg-mul-1` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `associate-/r/` `div-inv` `associate-/l/` `distribute-neg-frac`
1×	`neg-sub0` `flip3--` `div-sub` `distribute-frac-neg` `flip--`

Counts

4 → 162

Calls

4 calls:

17.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
14.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
16.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
22.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series457.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
203.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
135.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
55.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify58.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	596	1670
1	1759	1582
2	5002	1569

prune652.0ms

Filtered

174 candidates to 121 candidates (69.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	171	3	174
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	172	3	175

Merged error: 0b

Counts

175 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

235×	`*-un-lft-identity`
119×	`add-sqr-sqrt`
108×	`times-frac`
96×	`distribute-lft-out--`
75×	`add-cube-cbrt`
56×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
36×	`associate-/l*`
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×	`flip3-+` `associate-r` `associate-l` `flip-+` `distribute-lft-out`
6×	`associate-/r*` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `associate-/l/` `distribute-neg-frac` `unswap-sqr`
3×	`fma-def` `pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `neg-sub0` `flip3--` `frac-2neg` `div-sub` `associate-r/` `distribute-frac-neg` `div-exp` `associate-l/` `clear-num` `flip--` `div-inv`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 267

Calls

4 calls:

13.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
22.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
22.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
36.0ms	(* (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

series248.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
56.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
57.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
69.0ms	(* (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

simplify79.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	539	2801
1	1954	2628
2	5001	2568

prune1.1s

Filtered

279 candidates to 165 candidates (59.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	279	0	279
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	279	3	282

Merged error: 0b

Counts

282 → 3

localize29.0ms

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)

rewrite12.0ms

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:

6.0ms	(* (cbrt NdChar) (cbrt NdChar))
1.0ms	(cbrt NdChar)
1.0ms	(cbrt NdChar)
1.0ms	(cbrt NdChar)

series713.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt NdChar) (cbrt NdChar))
175.0ms	(cbrt NdChar)
171.0ms	(cbrt NdChar)
173.0ms	(cbrt NdChar)

simplify95.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune458.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	3	96

Merged error: 0b

Counts

96 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
0.0b	(exp (- (/ EDonor KbT) (/ (- Ec Vef) KbT)))
0.0b	(/ (- Ec Vef) KbT)
2.5b	(- (/ EDonor KbT) (/ (- Ec Vef) KbT))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

788×	`times-frac`
731×	`*-un-lft-identity`
719×	`add-sqr-sqrt`
531×	`add-cube-cbrt`
494×	`prod-diff`
250×	`exp-sum`
102×	`distribute-lft-out--`
90×	`difference-of-squares`
70×	`div-inv`
15×	`exp-prod`
13×	`fma-neg`
11×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `div-sub` `associate-/r*`
2×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--` `rem-exp-log` `associate-/l/` `associate--r-`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `distribute-lft-out` `sub-div`

Counts

4 → 623

Calls

4 calls:

13.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
36.0ms	(exp (- (/ EDonor KbT) (/ (- Ec Vef) KbT)))
7.0ms	(/ (- Ec Vef) KbT)
27.0ms	(- (/ EDonor KbT) (/ (- Ec Vef) KbT))

series168.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
48.0ms	(exp (- (/ EDonor KbT) (/ (- Ec Vef) KbT)))
25.0ms	(/ (- Ec Vef) KbT)
29.0ms	(- (/ EDonor KbT) (/ (- Ec Vef) KbT))

simplify204.0ms

Algorithm

egg-herbie

Counts

635 → 635

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	1320	16990
1	3540	13899
2	5001	13574

prune1.8s

Filtered

635 candidates to 287 candidates (45.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	635	0	635
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	635	3	638

Merged error: 0b

Counts

638 → 3

regimes287.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	27
1	37	27

end0.0ms

sample1.1s

Algorithm

intervals

Results

680.0ms	7999×	body	80	valid
2.0ms	2×	body	5120	exit
0.0ms	1×	body	160	valid