Details

analyze2.9s (22.1%)

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
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
1.6%	98%	0.4%	11
1.6%	98%	0.4%	12
1.6%	98%	0.4%	13
1.6%	98%	0.4%	14

Compiler

Compiled 41 to 29 computations (29.3% saved)

sample2.0s (15.4%)

Symmetry

(sort Ev EAccept)

Results

1.9s	8255×	body	128	valid
1.0ms	1×	body	512	valid

Compiler

Compiled 122 to 86 computations (29.5% saved)

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

713×	`div-sub_binary64`
583×	`exp-sum_binary64`
502×	`exp-diff_binary64`
464×	`exp-prod_binary64`
370×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	46
1	57	46
2	158	44
3	433	44
4	1039	44
5	2185	44
6	3700	44
7	4917	44
8	4999	44
9	4971	44
10	5079	44

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))

Compiler

Compiled 145 to 95 computations (34.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
✓	0.0b	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
✓	0.0b	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
✓	0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

series536.0ms (4%)

Counts

4 → 252

Calls

4 calls:

408.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
76.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
27.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
26.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

rewrite52.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`*-un-lft-identity_binary64`
54×	`times-frac_binary64`
54×	`add-sqr-sqrt_binary64`
38×	`add-cube-cbrt_binary64`
36×	`distribute-lft-out--_binary64`

Counts

4 → 148

Calls

4 calls:

11.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
10.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
10.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
9.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))

simplify253.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

630×	`fma-def_binary64`
268×	`+-commutative_binary64`
258×	`*-commutative_binary64`
201×	`associate-+r+_binary64`
173×	`distribute-rgt-in_binary64`

Counts

400 → 329

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	957	13910
1	2948	13512
2	4936	13512
3	4988	13512

prune455.0ms (3.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	326	3	329
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	327	3	330

Error

Counts

330 → 3

Alt Table

Status	Error	Program
	33.3b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (*.f64 (sqrt.f64 NaChar) (/.f64 (sqrt.f64 NaChar) (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT))))))
	26.8b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (-.f64 (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT)))) (/.f64 (.f64 NaChar (.f64 Ev (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT)))) (*.f64 KbT (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT))) 2)))))
▶	0.0b	(+.f64 (/.f64 NdChar (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))) 3))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))

Compiler

Compiled 19699 to 7040 computations (64.3% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
✓	0.0b	(pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))) 3)
✓	0.0b	(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))) 3))
✓	0.0b	(/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)

series355.0ms (2.7%)

Counts

3 → 180

Calls

3 calls:

252.0ms

(pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))) 3)

76.0ms

(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))) 3))

26.0ms

(/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)

rewrite39.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`*-un-lft-identity_binary64`
29×	`add-sqr-sqrt_binary64`
21×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64`
20×	`distribute-lft-out--_binary64`

Counts

3 → 104

Calls

3 calls:

12.0ms

(pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))) 3)

10.0ms

(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))) 3))

9.0ms

(/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)

simplify161.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-def_binary64`
562×	`times-frac_binary64`
390×	`associate-/l*_binary64`
298×	`+-commutative_binary64`
253×	`associate-+r+_binary64`

Counts

284 → 204

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	773	11564
1	2561	11210
2	5334	11210

prune386.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	286	0	286
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	286	3	289

Error

Counts

289 → 3

Alt Table

Status	Error	Program
	33.3b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (*.f64 (sqrt.f64 NaChar) (/.f64 (sqrt.f64 NaChar) (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT))))))
▶	26.8b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (-.f64 (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT)))) (/.f64 (.f64 NaChar (.f64 Ev (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT)))) (*.f64 KbT (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT))) 2)))))
✓	0.0b	(+.f64 (/.f64 NdChar (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))) 3))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))

Compiler

Compiled 18343 to 6953 computations (62.1% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
✓	0.0b	(pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT))) 2)
	0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
✓	1.7b	(/.f64 (.f64 NaChar (.f64 Ev (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT)))) (*.f64 KbT (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT))) 2)))

series1.5s (11.1%)

Counts

2 → 96

Calls

2 calls:

1.4s

(/.f64 (*.f64 NaChar (*.f64 Ev (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT)))) (*.f64 KbT (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT))) 2)))

85.0ms

(pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT))) 2)

rewrite40.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-exp-log_binary64`
23×	`add-cbrt-cube_binary64`
21×	`prod-exp_binary64`
12×	`div-exp_binary64`
9×	`cbrt-unprod_binary64`

Counts

2 → 55

Calls

2 calls:

24.0ms

(/.f64 (*.f64 NaChar (*.f64 Ev (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT)))) (*.f64 KbT (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT))) 2)))

8.0ms

(pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT))) 2)

simplify326.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

974×	`fma-def_binary64`
465×	`*-commutative_binary64`
281×	`+-commutative_binary64`
224×	`associate-+r+_binary64`
223×	`associate-r_binary64`

Counts

151 → 164

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1118	14519
1	3992	13704
2	4958	13704
3	5000	13704
4	4959	13704

prune546.0ms (4.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	313	0	313
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	313	3	316

Error

Counts

316 → 3

Alt Table

Status	Error	Program
▶	33.3b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (*.f64 (sqrt.f64 NaChar) (/.f64 (sqrt.f64 NaChar) (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT))))))
✓	26.8b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (-.f64 (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT)))) (/.f64 (.f64 NaChar (.f64 Ev (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT)))) (*.f64 KbT (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT))) 2)))))
✓	0.0b	(+.f64 (/.f64 NdChar (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))) 3))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))

Compiler

Compiled 33204 to 12172 computations (63.3% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT)
	0.0b	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
	0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
✓	0.1b	(*.f64 (sqrt.f64 NaChar) (/.f64 (sqrt.f64 NaChar) (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT)))))

series439.0ms (3.3%)

Counts

2 → 128

Calls

2 calls:

413.0ms	(*.f64 (sqrt.f64 NaChar) (/.f64 (sqrt.f64 NaChar) (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT)))))
25.0ms	(/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT)

rewrite38.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
46×	`times-frac_binary64`
46×	`add-sqr-sqrt_binary64`
30×	`associate-r_binary64`
30×	`add-cube-cbrt_binary64`

Counts

2 → 102

Calls

2 calls:

19.0ms	(*.f64 (sqrt.f64 NaChar) (/.f64 (sqrt.f64 NaChar) (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT)))))
9.0ms	(/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT)

simplify217.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

567×	`associate-/l*_binary64`
471×	`associate-/r*_binary64`
392×	`fma-def_binary64`
204×	`*-commutative_binary64`
144×	`+-commutative_binary64`

Counts

230 → 187

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	611	9021
1	1933	8610
2	5021	8610

prune417.0ms (3.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	336	0	336
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	336	3	339

Error

Counts

339 → 3

Alt Table

Status	Error	Program
✓	33.3b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (*.f64 (sqrt.f64 NaChar) (/.f64 (sqrt.f64 NaChar) (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT))))))
✓	26.8b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (-.f64 (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT)))) (/.f64 (.f64 NaChar (.f64 Ev (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT)))) (*.f64 KbT (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 EAccept Vef) mu) KbT))) 2)))))
✓	0.0b	(+.f64 (/.f64 NdChar (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))) 3))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))

Compiler

Compiled 21118 to 7330 computations (65.3% saved)

regimes2.2s (16.9%)

Accuracy

Total 0.0b remaining (24.9%)

Threshold costs 0.0b (24.9%)

Counts

159 → 1

Compiler

Compiled 67160 to 44948 computations (33.1% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

18×	`cancel-sign-sub-inv_binary64`
15×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`distribute-neg-in_binary64`
9×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	49
1	43	49
2	60	49
3	84	49
4	106	49
5	120	49
6	124	49
7	120	49

end114.0ms (0.9%)

Remove: (sort Ev EAccept)
Compiler: Compiled 311 to 207 computations (33.4% saved)

Details

analyze2.9s (22.1%)

sample2.0s (15.4%)

simplify94.0ms (0.7%)

prune4.0ms (0%)

localize21.0ms (0.2%)

series536.0ms (4%)

rewrite52.0ms (0.4%)

simplify253.0ms (1.9%)

prune455.0ms (3.4%)

localize24.0ms (0.2%)

series355.0ms (2.7%)

rewrite39.0ms (0.3%)

simplify161.0ms (1.2%)

prune386.0ms (2.9%)

localize26.0ms (0.2%)

series1.5s (11.1%)

rewrite40.0ms (0.3%)

simplify326.0ms (2.5%)

prune546.0ms (4.1%)

localize25.0ms (0.2%)

series439.0ms (3.3%)

rewrite38.0ms (0.3%)

simplify217.0ms (1.6%)

prune417.0ms (3.1%)

regimes2.2s (16.9%)

simplify4.0ms (0%)

end114.0ms (0.9%)

Profiling