Details

sample48.0ms

Algorithm

intervals

Results

26.0ms

256×

body

valid

simplify51.0ms

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	1422	17
5	2726	17
6	5001	17

prune5.0ms

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

localize23.0ms

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)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
66×	`times-frac`
60×	`add-sqr-sqrt`
48×	`distribute-lft-out--`
44×	`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×	`distribute-lft-out`
4×	`pow1` `neg-mul-1`
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 → 148

Calls

4 calls:

13.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
18.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
16.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
16.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series324.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
68.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
136.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
56.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify60.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	577	1611
1	1694	1525
2	5001	1512

prune596.0ms

Filtered

160 candidates to 107 candidates (66.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	157	3	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	158	3	161

Merged error: 0b

Counts

161 → 3

localize25.0ms

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)))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

234×	`*-un-lft-identity`
118×	`add-sqr-sqrt`
108×	`times-frac`
96×	`distribute-lft-out--`
74×	`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×	`frac-times` `associate-/l/` `distribute-neg-frac` `unswap-sqr`
3×	`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 → 256

Calls

4 calls:

12.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
16.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
21.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
34.0ms	(* (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
60.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
55.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
70.0ms	(* (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

simplify77.0ms

Algorithm

egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	524	2731
1	2020	2558
2	5003	2498

prune1.1s

Filtered

268 candidates to 154 candidates (57.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	268	0	268
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	268	3	271

Merged error: 0b

Counts

271 → 3

localize36.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

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

series954.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt NdChar) (cbrt NdChar))
174.0ms	(cbrt NdChar)
397.0ms	(cbrt NdChar)
186.0ms	(cbrt NdChar)

simplify98.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune421.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0b

Counts

88 → 3

localize26.0ms

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))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
55×	`add-sqr-sqrt`
47×	`times-frac`
24×	`distribute-lft-out--`
23×	`add-cube-cbrt`
15×	`exp-prod`
12×	`difference-of-squares`
11×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv` `associate-/l*`
4×	`pow1`
3×	`div-sub` `exp-sum` `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 → 105

Calls

4 calls:

17.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
19.0ms	(exp (- (/ EDonor KbT) (/ (- Ec Vef) KbT)))
6.0ms	(/ (- Ec Vef) KbT)
18.0ms	(- (/ EDonor KbT) (/ (- Ec Vef) KbT))

series167.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
55.0ms	(exp (- (/ EDonor KbT) (/ (- Ec Vef) KbT)))
27.0ms	(/ (- Ec Vef) KbT)
21.0ms	(- (/ EDonor KbT) (/ (- Ec Vef) KbT))

simplify50.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	425	726
1	1172	683
2	5001	682

prune440.0ms

Filtered

117 candidates to 83 candidates (70.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	117	3	120

Merged error: 0b

Counts

120 → 3

regimes295.0ms

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

713.0ms	7999×	body	80	valid
2.0ms	2×	body	5120	exit
0.0ms	1×	body	160	valid