Details

analyze1.6s (20.6%)

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

sample47.0ms (0.6%)

Algorithm

1×

intervals

Results

24.0ms

256×

body

valid

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5482	29

prune22.0ms (0.3%)

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

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite54.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity`
24×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
8×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
6×	`associate-/l*`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+`
2×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 90

Calls

4 calls:

14.0ms	(/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT))))
14.0ms	(/ NdChar (+ 1.0 (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))))
12.0ms	(+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)))
11.0ms	(+ 1.0 (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT)))

series177.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT))))
59.0ms	(/ NdChar (+ 1.0 (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))))
29.0ms	(+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)))
27.0ms	(+ 1.0 (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT)))

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5238	1880

prune201.0ms (2.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	3	103

Merged error: 0b

Counts

103 → 3

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT))))
0.0b	(/ (+ 1.0 (exp (/ (+ Vef (+ mu (- EDonor Ec))) KbT))) NdChar)
0.0b	(+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)))
0.1b	(/ 1 (/ (+ 1.0 (exp (/ (+ Vef (+ mu (- EDonor Ec))) KbT))) NdChar))

rewrite66.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`times-frac`
113×	`*-un-lft-identity`
71×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`associate-/r*`
21×	`distribute-lft-out`
19×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`associate-/l*`
9×	`div-exp`
7×	`div-inv`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
3×	`frac-2neg` `flip3-+` `clear-num` `associate-/r/` `flip-+`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `inv-pow`

Counts

4 → 166

Calls

4 calls:

17.0ms	(/ 1 (/ (+ 1.0 (exp (/ (+ Vef (+ mu (- EDonor Ec))) KbT))) NdChar))
14.0ms	(/ (+ 1.0 (exp (/ (+ Vef (+ mu (- EDonor Ec))) KbT))) NdChar)
14.0ms	(+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)))
14.0ms	(/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT))))

series220.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

77.0ms	(/ 1 (/ (+ 1.0 (exp (/ (+ Vef (+ mu (- EDonor Ec))) KbT))) NdChar))
62.0ms	(/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT))))
54.0ms	(/ (+ 1.0 (exp (/ (+ Vef (+ mu (- EDonor Ec))) KbT))) NdChar)
27.0ms	(+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)))

simplify85.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4985	3746
1	4985	3746

prune336.0ms (4.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	178	3	181

Merged error: 0b

Counts

181 → 3

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT))))) (cbrt (/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT))))))
0.4b	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)))))
0.4b	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)))))
0.4b	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)))))

rewrite92.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`swap-sqr` `distribute-lft-out`
21×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 180

Calls

4 calls:

39.0ms	(* (cbrt (/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT))))) (cbrt (/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT))))))
16.0ms	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)))))
14.0ms	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)))))
14.0ms	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)))))

series578.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (cbrt (/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT))))) (cbrt (/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT))))))
125.0ms	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)))))
123.0ms	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)))))
122.0ms	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)))))

simplify117.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4953	5758
1	4953	5758

prune688.0ms (8.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	192	3	195

Merged error: 0b

Counts

195 → 3

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(/ NdChar (+ 1.0 (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))))
0.0b	(pow (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)) 3)
0.4b	(/ (+ (pow 1.0 3) (pow (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)) 3)) (+ (* 1.0 1.0) (* (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)) (- (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)) 1.0))))
2.8b	(- (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)) 1.0)

rewrite82.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

117×	`*-un-lft-identity`
57×	`times-frac`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
39×	`distribute-lft-out`
23×	`pow-pow`
22×	`exp-prod`
19×	`unpow-prod-down` `cube-prod`
12×	`associate-/l*`
9×	`add-cbrt-cube`
8×	`add-exp-log`
7×	`associate-/r*`
6×	`add-log-exp`
5×	`pow1`
4×	`associate-/r/` `sum-cubes` `distribute-lft-out--`
3×	`pow-unpow` `flip3-+` `flip-+` `div-inv`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
1×	`cube-div` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `exp-diff` `diff-log` `unpow3` `div-sub` `pow-exp` `flip--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 147

Calls

4 calls:

25.0ms	(/ (+ (pow 1.0 3) (pow (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)) 3)) (+ (* 1.0 1.0) (* (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)) (- (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)) 1.0))))
18.0ms	(/ NdChar (+ 1.0 (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))))
17.0ms	(- (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)) 1.0)
15.0ms	(pow (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)) 3)

series496.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

366.0ms	(/ (+ (pow 1.0 3) (pow (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)) 3)) (+ (* 1.0 1.0) (* (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)) (- (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)) 1.0))))
59.0ms	(/ NdChar (+ 1.0 (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))))
47.0ms	(pow (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)) 3)
25.0ms	(- (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT)) 1.0)

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5399	5205

prune473.0ms (6.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	159	3	162

Merged error: 0b

Counts

162 → 3

regimes934.0ms (12%)

Accuracy

Total 0.1b remaining (85.6%)

Threshold costs 0.1b (85.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	31
1	52	31

end0.0ms (0%)

sample1.2s (15.7%)

Algorithm

1×

intervals

Results

795.0ms	7998×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze1.6s (20.6%)

sample47.0ms (0.6%)

simplify56.0ms (0.7%)

prune22.0ms (0.3%)

localize25.0ms (0.3%)

rewrite54.0ms (0.7%)

series177.0ms (2.3%)

simplify64.0ms (0.8%)

prune201.0ms (2.6%)

localize26.0ms (0.3%)

rewrite66.0ms (0.9%)

series220.0ms (2.8%)

simplify85.0ms (1.1%)

prune336.0ms (4.3%)

localize29.0ms (0.4%)

rewrite92.0ms (1.2%)

series578.0ms (7.4%)

simplify117.0ms (1.5%)

prune688.0ms (8.8%)

localize38.0ms (0.5%)

rewrite82.0ms (1%)

series496.0ms (6.4%)

simplify63.0ms (0.8%)

prune473.0ms (6.1%)

regimes934.0ms (12%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (15.7%)

Profiling