Details

sample43.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify42.0ms

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	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

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

176×	`*-un-lft-identity`
89×	`distribute-lft-out`
66×	`times-frac`
40×	`add-sqr-sqrt` `add-cube-cbrt`
31×	`exp-prod`
21×	`distribute-rgt-neg-in`
12×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*` `add-log-exp`
6×	`div-sub`
4×	`pow1`
3×	`flip3-+` `exp-diff` `flip-+` `div-inv`
2×	`cbrt-undiv` `neg-sub0` `associate-+r-` `frac-2neg` `div-exp` `unsub-neg` `clear-num` `associate-/r/` `associate-/l/`
1×	`+-commutative` `sum-log` `rem-exp-log`

Counts

4 → 143

Calls

4 calls:

17.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
16.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
13.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

series310.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
134.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
69.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
52.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify49.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	443	1333
1	1609	1222
2	5001	1211

prune506.0ms

Filtered

155 candidates to 88 candidates (56.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	151	4	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	152	4	156

Merged error: 0.0b

Counts

156 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

111×	`*-un-lft-identity`
53×	`distribute-lft-out`
39×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-rgt-neg-in` `associate-/l*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
6×	`add-log-exp`
5×	`pow1`
4×	`log-pow`
3×	`log-prod` `exp-prod` `flip3-+` `div-sub` `flip-+`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `associate-/r/` `div-inv` `associate-/l/`
1×	`+-commutative` `neg-sub0` `associate-+r-` `rem-log-exp` `unsub-neg` `sum-log`

Counts

4 → 116

Calls

4 calls:

19.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
13.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
12.0ms	(log (exp (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

series318.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
67.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
59.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
63.0ms	(log (exp (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

simplify51.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	441	1254
1	1576	1126
2	5001	1113

prune500.0ms

Filtered

128 candidates to 82 candidates (64.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	128	4	132

Merged error: 0.0b

Counts

132 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.1b	(/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
0.1b	(/ (/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

405×	`times-frac`
388×	`*-un-lft-identity`
224×	`sqrt-prod`
202×	`add-sqr-sqrt` `add-cube-cbrt`
105×	`distribute-lft-out`
39×	`associate-/l*`
20×	`sqrt-div` `associate-/r/`
17×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-rgt-neg-in` `flip3-+` `flip-+`
11×	`div-inv`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `div-sub` `clear-num` `associate-/l/`
1×	`+-commutative` `neg-sub0` `associate-+r-` `unsub-neg` `sum-log`

Counts

4 → 353

Calls

4 calls:

14.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
21.0ms	(/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
39.0ms	(/ (/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

series429.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
56.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
170.0ms	(/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
141.0ms	(/ (/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

simplify133.0ms

Algorithm

egg-herbie

Counts

365 → 365

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	963	9134
1	3650	8260
2	5001	8119

prune1.2s

Filtered

365 candidates to 158 candidates (43.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	365	0	365
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	365	4	369

Merged error: 0.0b

Counts

369 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
23×	`pow1`
17×	`cbrt-prod` `*-un-lft-identity`
14×	`associate-*l/`
12×	`pow1/3`
11×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cube-cbrt` `pow-prod-up`
8×	`associate-*r/`
7×	`associate-r`
6×	`pow-plus`
5×	`pow-prod-down` `add-cbrt-cube`
4×	`distribute-lft-out` `add-log-exp`
3×	`prod-exp` `pow-sqr` `cbrt-unprod`
2×	`pow2` `unswap-sqr`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 104

Calls

4 calls:

54.0ms	(* (* (cbrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (cbrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (cbrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
14.0ms	(cbrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
14.0ms	(cbrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
14.0ms	(cbrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))

series715.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* (cbrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (cbrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (cbrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
213.0ms	(cbrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
213.0ms	(cbrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
223.0ms	(cbrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))

simplify63.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	360	3121
1	1082	2733
2	5001	2559

prune465.0ms

Filtered

116 candidates to 71 candidates (61.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	116	4	120

Merged error: 0.0b

Counts

120 → 4

regimes360.0ms

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	19
1	37	19

end0.0ms

sample1.1s

Algorithm

intervals

Results

705.0ms	7999×	body	80	valid
1.0ms	1×	body	5120	exit
0.0ms	1×	body	640	valid

Details

sample43.0ms

simplify42.0ms

prune5.0ms

localize26.0ms

rewrite68.0ms

series310.0ms

simplify49.0ms

prune506.0ms

localize25.0ms

rewrite63.0ms

series318.0ms

simplify51.0ms

prune500.0ms

localize25.0ms

rewrite112.0ms

series429.0ms

simplify133.0ms

prune1.2s

localize30.0ms

rewrite102.0ms

series715.0ms

simplify63.0ms

prune465.0ms

regimes360.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling