Details

analyze1.6s (32.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
24.9%	74.7%	0.4%	8
24.9%	74.7%	0.4%	9
24.9%	74.7%	0.4%	10
25.7%	73.9%	0.4%	11
25.7%	73.9%	0.4%	12
25.7%	73.9%	0.4%	13
25.7%	73.9%	0.4%	14

sample48.0ms (1%)

Algorithm

1×

intervals

Results

24.0ms

256×

body

valid

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5482	29

prune21.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite57.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`*-un-lft-identity`
75×	`times-frac`
70×	`add-sqr-sqrt`
48×	`add-cube-cbrt`
45×	`distribute-lft-out--`
25×	`exp-prod` `distribute-lft-out`
17×	`associate-/l*`
11×	`difference-of-squares`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
5×	`add-log-exp`
4×	`pow1` `div-inv` `associate-/l/`
3×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`
2×	`flip3--` `associate-/r/` `flip--`
1×	`flip3-+` `exp-diff` `flip-+` `rem-exp-log`

Counts

4 → 159

Calls

4 calls:

17.0ms	(/ NdChar (+ 1.0 (exp (/ (- mu (- (- Ec Vef) EDonor)) KbT))))
11.0ms	(/ (- mu (- (- Ec Vef) EDonor)) KbT)
11.0ms	(/ (- (+ (+ Vef Ev) EAccept) mu) KbT)
11.0ms	(exp (/ (- (+ (+ Vef Ev) EAccept) mu) KbT))

series120.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ NdChar (+ 1.0 (exp (/ (- mu (- (- Ec Vef) EDonor)) KbT))))
24.0ms	(exp (/ (- (+ (+ Vef Ev) EAccept) mu) KbT))
17.0ms	(/ (- mu (- (- Ec Vef) EDonor)) KbT)
16.0ms	(/ (- (+ (+ Vef Ev) EAccept) mu) KbT)

simplify59.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5633	2410

prune286.0ms (5.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	170	2	172

Merged error: 0b

Counts

172 → 2

localize30.0ms (0.6%)

Local error

Found 4 expressions with local error:

3.5b	(+ (/ (* EDonor NdChar) KbT) (* (/ NdChar KbT) (+ mu Vef)))
4.2b	(/ (* EDonor NdChar) KbT)
5.3b	(/ (* Ec NdChar) KbT)
6.6b	(* (/ NdChar KbT) (+ mu Vef))

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`add-exp-log` `add-cbrt-cube`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt` `times-frac`
13×	`associate-l`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`cbrt-undiv` `flip3-+` `div-exp` `frac-add` `flip-+`
4×	`frac-times` `associate-r/` `associate-r*` `prod-exp` `cbrt-unprod`
3×	`div-inv`
2×	`distribute-rgt-in` `associate-+r+` `frac-2neg` `distribute-lft-in` `associate-l/` `clear-num` `associate-/l` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 99

Calls

4 calls:

10.0ms	(+ (/ (* EDonor NdChar) KbT) (* (/ NdChar KbT) (+ mu Vef)))
9.0ms	(* (/ NdChar KbT) (+ mu Vef))
4.0ms	(/ (* EDonor NdChar) KbT)
4.0ms	(/ (* Ec NdChar) KbT)

series41.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (/ (* EDonor NdChar) KbT) (* (/ NdChar KbT) (+ mu Vef)))
14.0ms	(* (/ NdChar KbT) (+ mu Vef))
5.0ms	(/ (* Ec NdChar) KbT)
5.0ms	(/ (* EDonor NdChar) KbT)

simplify33.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5699	1100

prune392.0ms (8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	111	2	113

Merged error: 0b

Counts

113 → 2

regimes844.0ms (17.1%)

Accuracy

Total 0.0b remaining (8.1%)

Threshold costs 0.0b (8.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	222	29
1	222	29

end0.0ms (0%)

sample1.3s (25.6%)

Algorithm

1×

intervals

Results

802.0ms	7999×	body	80	valid
2.0ms	2×	body	5120	exit
0.0ms	1×	body	160	valid

Details

analyze1.6s (32.7%)

sample48.0ms (1%)

simplify62.0ms (1.3%)

prune21.0ms (0.4%)

localize23.0ms (0.5%)

rewrite57.0ms (1.2%)

series120.0ms (2.4%)

simplify59.0ms (1.2%)

prune286.0ms (5.8%)

localize30.0ms (0.6%)

rewrite31.0ms (0.6%)

series41.0ms (0.8%)

simplify33.0ms (0.7%)

prune392.0ms (8%)

regimes844.0ms (17.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.3s (25.6%)

Profiling