Details

analyze2.9s (20.9%)

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
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 41 to 29 computations (29.3% saved)

sample1.9s (13.9%)

Symmetry

(sort Ev EAccept)

Results

1.8s	8255×	body	128	valid
1.0ms	1×	body	8192	exit
0.0ms	1×	body	256	valid

Compiler

Compiled 122 to 86 computations (29.5% saved)

simplify92.0ms (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)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series523.0ms (3.8%)

Counts

4 → 252

Calls

4 calls:

412.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
60.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
26.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
25.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

rewrite53.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`*-un-lft-identity_binary64`
75×	`times-frac_binary64`
70×	`add-sqr-sqrt_binary64`
54×	`distribute-lft-out--_binary64`
48×	`add-cube-cbrt_binary64`

Counts

4 → 167

Calls

4 calls:

11.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
9.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
9.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
8.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))

simplify207.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

627×	`fma-def_binary64`
258×	`*-commutative_binary64`
254×	`+-commutative_binary64`
194×	`associate-+r+_binary64`
159×	`distribute-rgt-in_binary64`

Counts

419 → 352

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	953	13978
1	2896	13605
2	4996	13605

prune351.0ms (2.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	349	3	352
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	350	3	353

Error

0.0b

Counts

353 → 3

Alt Table

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

Compiler

Compiled 20706 to 7230 computations (65.1% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series153.0ms (1.1%)

Counts

2 → 120

Calls

2 calls:

92.0ms

(sqrt.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))

61.0ms

(*.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))) (sqrt.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))

rewrite190.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

925×	`*-un-lft-identity_binary64`
462×	`distribute-lft-out--_binary64`
416×	`sqrt-pow1_binary64`
407×	`exp-prod_binary64`
371×	`times-frac_binary64`

Counts

2 → 288

Calls

2 calls:

55.0ms

(*.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))) (sqrt.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))

11.0ms

(sqrt.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))

simplify387.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

528×	`fma-def_binary64`
409×	`times-frac_binary64`
289×	`associate-/r*_binary64`
258×	`associate-/l*_binary64`
237×	`associate-r_binary64`

Counts

408 → 286

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	605	11618
1	1838	10616
2	4979	10610
3	4979	10610

prune921.0ms (6.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	627	1	628
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	628	3	631

Error

Counts

631 → 3

Alt Table

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

Compiler

Compiled 37692 to 10464 computations (72.2% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series1.5s (11.2%)

Counts

2 → 120

Calls

2 calls:

1.5s	(cbrt.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
25.0ms	(/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
21×	`times-frac_binary64`
20×	`distribute-lft-out--_binary64`
15×	`add-cube-cbrt_binary64`

Counts

2 → 62

Calls

2 calls:

10.0ms	(/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)
9.0ms	(cbrt.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

492×	`associate-+r+_binary64`
372×	`times-frac_binary64`
350×	`fma-def_binary64`
291×	`associate-+l+_binary64`
226×	`associate-/r*_binary64`

Counts

182 → 124

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	418	5444
1	1268	5352
2	5083	5352

prune490.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	346	0	346
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	346	3	349

Error

Counts

349 → 3

Alt Table

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

Compiler

Compiled 24233 to 5690 computations (76.5% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series415.0ms (3%)

Counts

1 → 72

Calls

1 calls:

415.0ms

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

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`times-frac_binary64`
74×	`*-un-lft-identity_binary64`
50×	`add-sqr-sqrt_binary64`
50×	`add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`

Counts

1 → 90

Calls

1 calls:

12.0ms

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

simplify166.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

523×	`associate-/l*_binary64`
474×	`associate-/r*_binary64`
379×	`fma-def_binary64`
197×	`associate-*l/_binary64`
182×	`associate-*r/_binary64`

Counts

162 → 155

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	552	8644
1	1732	8230
2	5136	8230

prune570.0ms (4.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	407	0	407
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	407	3	410

Error

Counts

410 → 3

Alt Table

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

Compiler

Compiled 23880 to 8729 computations (63.4% saved)

regimes2.6s (18.6%)

Accuracy

Total 0.0b remaining (26.3%)

Threshold costs 0.0b (26.3%)

Counts

190 → 1

Compiler

Compiled 86120 to 57238 computations (33.5% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64`
11×	`sub-neg_binary64`
10×	`distribute-neg-in_binary64`
10×	`cancel-sign-sub-inv_binary64`
8×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	65
1	43	65
2	59	65
3	79	65
4	102	65
5	111	65
6	112	65
7	108	65

end105.0ms (0.8%)

Remove: (sort Ev EAccept)
Compiler: Compiled 359 to 205 computations (42.9% saved)

Details

analyze2.9s (20.9%)

sample1.9s (13.9%)

simplify92.0ms (0.7%)

prune4.0ms (0%)

localize20.0ms (0.1%)

series523.0ms (3.8%)

rewrite53.0ms (0.4%)

simplify207.0ms (1.5%)

prune351.0ms (2.5%)

localize24.0ms (0.2%)

series153.0ms (1.1%)

rewrite190.0ms (1.4%)

simplify387.0ms (2.8%)

prune921.0ms (6.7%)

localize34.0ms (0.2%)

series1.5s (11.2%)

rewrite23.0ms (0.2%)

simplify90.0ms (0.7%)

prune490.0ms (3.6%)

localize22.0ms (0.2%)

series415.0ms (3%)

rewrite25.0ms (0.2%)

simplify166.0ms (1.2%)

prune570.0ms (4.1%)

regimes2.6s (18.6%)

simplify6.0ms (0%)

end105.0ms (0.8%)

Profiling