Details

analyze1.5s

Algorithm: search

sample46.0ms

Algorithm

intervals

Results

22.0ms

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

prune7.0ms

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

256×	`*-un-lft-identity`
120×	`times-frac`
89×	`exp-prod`
88×	`distribute-lft-out`
80×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
42×	`distribute-rgt-neg-in`
36×	`distribute-lft-out--`
21×	`distribute-lft-neg-in`
12×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-sub` `associate-/r*`
6×	`add-log-exp` `difference-of-squares`
4×	`pow1` `exp-diff` `div-inv`
3×	`neg-sub0` `neg-mul-1`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `flip3-+` `div-exp` `unsub-neg` `clear-num` `associate-/r/` `flip-+` `rem-exp-log` `associate-/l/`
1×	`exp-neg` `distribute-frac-neg`

Counts

4 → 199

Calls

4 calls:

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

series119.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
59.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))))
23.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
22.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify56.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	570	1612
1	1940	1513
2	5002	1500

prune238.0ms

Filtered

118 candidates to 211 candidates (-78.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	206	5	211
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	207	5	212

Merged error: 0b

Counts

212 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)) 3)
0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
0.1b	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
0.3b	(cbrt (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)) 3))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

226×	`*-un-lft-identity`
120×	`exp-prod`
108×	`times-frac`
76×	`add-sqr-sqrt`
72×	`distribute-lft-out`
64×	`add-cube-cbrt`
39×	`distribute-rgt-neg-in`
36×	`distribute-lft-out--`
32×	`pow-pow`
21×	`distribute-lft-neg-in`
12×	`cbrt-prod`
10×	`exp-diff` `div-sub`
6×	`cube-div` `unpow-prod-down` `cube-prod` `add-log-exp` `difference-of-squares`
5×	`pow1` `add-cbrt-cube`
4×	`add-exp-log` `neg-sub0`
3×	`associate-+r-` `neg-mul-1` `pow-unpow` `cbrt-div` `unsub-neg` `div-inv`
2×	`cube-mult` `unpow3` `rem-exp-log` `sqr-pow`
1×	`exp-neg` `pow-to-exp` `pow1/3` `distribute-frac-neg` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 191

Calls

4 calls:

18.0ms	(pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)) 3)
16.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
16.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
15.0ms	(cbrt (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)) 3))

series112.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)) 3)
22.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
26.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
22.0ms	(cbrt (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)) 3))

simplify54.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	474	1434
1	1651	1359
2	5001	1349

prune239.0ms

Filtered

104 candidates to 203 candidates (-95.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	204	4	208

Merged error: 0b

Counts

208 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 3 (- (+ (+ Ev Vef) EAccept) mu))
0.1b	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
0.1b	(/ (* 3 (- (+ (+ Ev Vef) EAccept) mu)) KbT)
0.3b	(cbrt (exp (/ (* 3 (- (+ (+ Ev Vef) EAccept) mu)) KbT)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

100×	`*-un-lft-identity`
58×	`exp-prod`
57×	`times-frac`
53×	`add-sqr-sqrt`
39×	`distribute-lft-out--`
37×	`add-cube-cbrt`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
11×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r` `difference-of-squares`
6×	`pow1`
5×	`add-log-exp`
4×	`associate-*r/`
3×	`cbrt-prod` `distribute-rgt-in` `neg-mul-1` `distribute-lft-in` `associate-l` `associate-/r*` `distribute-lft-out`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `associate--l+` `flip--` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`neg-sub0` `exp-neg` `frac-2neg` `exp-diff` `pow1/3` `div-sub` `distribute-frac-neg` `pow-prod-down` `clear-num` `-commutative` `rem-exp-log` `associate-/l` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

11.0ms	(* 3 (- (+ (+ Ev Vef) EAccept) mu))
16.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
12.0ms	(/ (* 3 (- (+ (+ Ev Vef) EAccept) mu)) KbT)
7.0ms	(cbrt (exp (/ (* 3 (- (+ (+ Ev Vef) EAccept) mu)) KbT)))

series89.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* 3 (- (+ (+ Ev Vef) EAccept) mu))
22.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
20.0ms	(/ (* 3 (- (+ (+ Ev Vef) EAccept) mu)) KbT)
34.0ms	(cbrt (exp (/ (* 3 (- (+ (+ Ev Vef) EAccept) mu)) KbT)))

simplify53.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	514	944
1	2014	859
2	5001	855

prune220.0ms

Filtered

94 candidates to 144 candidates (-53.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	144	4	148

Merged error: 0b

Counts

148 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

172×	`*-un-lft-identity`
90×	`times-frac`
81×	`exp-prod`
68×	`add-sqr-sqrt`
56×	`add-cube-cbrt`
40×	`distribute-lft-out`
36×	`distribute-lft-out--`
26×	`pow-flip`
9×	`distribute-rgt-neg-in`
8×	`add-cbrt-cube`
7×	`add-exp-log` `associate-/r*`
6×	`associate-/l*` `add-log-exp` `difference-of-squares`
5×	`pow1` `exp-diff` `div-sub` `div-inv`
3×	`div-exp` `associate-/r/`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `rem-exp-log`
1×	`neg-sub0` `associate-+r-` `rec-exp` `flip3-+` `1-exp` `unsub-neg` `flip-+` `inv-pow`

Counts

4 → 166

Calls

4 calls:

19.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))))
15.0ms	(/ 1 (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)))
14.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
12.0ms	(exp (/ (- (- (- Ec Vef) EDonor) mu) KbT))

series138.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))))
37.0ms	(/ 1 (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)))
22.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
23.0ms	(exp (/ (- (- (- Ec Vef) EDonor) mu) KbT))

simplify91.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	515	1393
1	1514	1308
2	4576	1292
3	5002	1288

prune170.0ms

Filtered

105 candidates to 178 candidates (-69.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	178	4	182

Merged error: 0b

Counts

182 → 4

regimes930.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	18
1	37	18

end0.0ms

analyze1.5s

Algorithm: search

sample1.1s

Algorithm

intervals

Results

711.0ms

8000×

body

valid

Details

analyze1.5s

sample46.0ms

simplify42.0ms

prune7.0ms

localize23.0ms

rewrite72.0ms

series119.0ms

simplify56.0ms

prune238.0ms

localize26.0ms

rewrite76.0ms

series112.0ms

simplify54.0ms

prune239.0ms

localize25.0ms

rewrite54.0ms

series89.0ms

simplify53.0ms

prune220.0ms

localize26.0ms

rewrite68.0ms

series138.0ms

simplify91.0ms

prune170.0ms

regimes930.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze1.5s

sample1.1s

Profiling