Details

analyze2.4s (34.9%)

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
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

Compiler

Compiled 41 to 29 computations (29.3% saved)

sample104.0ms (1.5%)

Algorithm

1×

intervals

Results

32.0ms

256×

body

128

valid

Compiler

Compiled 90 to 66 computations (26.7% saved)

simplify102.0ms (1.5%)

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

prune5.0ms (0.1%)

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 (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite96.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-cube-cbrt_binary64`
22×	`div-sub_binary64`
20×	`add-cbrt-cube_binary64`
18×	`pow1_binary64`
16×	`add-sqr-sqrt_binary64`

Counts

4 → 174

Calls

4 calls:

26.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
21.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
20.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
19.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

series288.0ms (4.2%)

Counts

4 → 240

Calls

4 calls:

117.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
58.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
57.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
55.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)

simplify211.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

725×	`times-frac_binary64`
471×	`fma-def_binary64`
462×	`associate-/l*_binary64`
223×	`+-commutative_binary64`
177×	`associate-+r+_binary64`

Counts

414 → 664

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	709	10286
1	2093	9924
2	4996	9924

prune328.0ms (4.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	663	1	664
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	664	1	665

Error

0.0b

Counts

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

Compiler

Compiled 16193 to 5390 computations (66.7% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite48.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-cube-cbrt_binary64`
11×	`div-sub_binary64`
10×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
8×	`add-sqr-sqrt_binary64`

Counts

2 → 87

Calls

2 calls:

23.0ms	(exp.f64 (/.f64 (-.f64 mu (+.f64 Vef (+.f64 EAccept Ev))) KbT))
21.0ms	(/.f64 (-.f64 mu (+.f64 Vef (+.f64 EAccept Ev))) KbT)

series135.0ms (2%)

Counts

2 → 92

Calls

2 calls:

74.0ms	(/.f64 (-.f64 mu (+.f64 Vef (+.f64 EAccept Ev))) KbT)
60.0ms	(exp.f64 (/.f64 (-.f64 mu (+.f64 Vef (+.f64 EAccept Ev))) KbT))

simplify150.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

412×	`times-frac_binary64`
389×	`associate-+r+_binary64`
271×	`associate-/r*_binary64`
254×	`associate-/l*_binary64`
228×	`associate-+l+_binary64`

Counts

179 → 288

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	379	4783
1	1132	4554
2	4983	4554
3	5029	4554

prune359.0ms (5.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	620	0	620
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	620	1	621

Error

0.0b

Counts

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

Compiler

Compiled 16847 to 6057 computations (64% saved)

regimes684.0ms (10%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 19030 to 13718 computations (27.9% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
14×	`distribute-neg-in_binary64`
14×	`sub-neg_binary64`
12×	`cancel-sign-sub-inv_binary64`
11×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	47
1	42	47
2	61	47
3	89	47
4	120	47
5	134	47
6	137	47
7	133	47

end8.0ms (0.1%)

Remove: (sort Ev EAccept)
Compiler: Compiled 120 to 84 computations (30% saved)

sample1.9s (27.5%)

Algorithm

1×

intervals

Results

1.2s	7999×	body	128	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 130 to 94 computations (27.7% saved)

Details

analyze2.4s (34.9%)

sample104.0ms (1.5%)

simplify102.0ms (1.5%)

prune5.0ms (0.1%)

localize21.0ms (0.3%)

rewrite96.0ms (1.4%)

series288.0ms (4.2%)

simplify211.0ms (3.1%)

prune328.0ms (4.8%)

localize21.0ms (0.3%)

rewrite48.0ms (0.7%)

series135.0ms (2%)

simplify150.0ms (2.2%)

prune359.0ms (5.3%)

regimes684.0ms (10%)

simplify6.0ms (0.1%)

end8.0ms (0.1%)

sample1.9s (27.5%)

Profiling