Details

analyze1.9s (20.3%)

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)

sample139.0ms (1.5%)

Algorithm

1×

intervals

Symmetry

(sort Ev EAccept)

Results

61.0ms

256×

body

128

valid

Compiler

Compiled 90 to 66 computations (26.7% saved)

simplify93.0ms (1%)

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 1 (exp.f64 (/.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)
✓	0.0b	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)

series230.0ms (2.4%)

Counts

4 → 240

Calls

4 calls:

91.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
85.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))
28.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
25.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)

rewrite54.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

106×	`*-un-lft-identity_binary64`
46×	`add-sqr-sqrt_binary64`
42×	`times-frac_binary64`
36×	`distribute-lft-out--_binary64`
30×	`add-cube-cbrt_binary64`

Counts

4 → 130

Calls

4 calls:

12.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
11.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
10.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
9.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))

simplify168.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

610×	`times-frac_binary64`
463×	`fma-def_binary64`
407×	`associate-/l*_binary64`
351×	`associate-/r*_binary64`
249×	`+-commutative_binary64`

Counts

370 → 297

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	736	10750
1	2171	10440
2	5216	10440

prune369.0ms (3.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	295	2	297
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	296	2	298

Error

Counts

298 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 NdChar (exp.f64 (log1p.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))
	15.2b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 NaChar (-.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) (/.f64 (*.f64 mu (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) KbT))))

Status

Error

Program

▶

0.0b

(+.f64 (/.f64 NdChar (exp.f64 (log1p.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))

15.2b

(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 NaChar (-.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) (/.f64 (*.f64 mu (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) KbT))))

Compiler

Compiled 15326 to 5250 computations (65.7% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)))
	0.0b	(+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))
✓	0.0b	(/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)
	0.0b	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)

series1.6s (17.3%)

Counts

2 → 120

Calls

2 calls:

1.6s	(log1p.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)))
28.0ms	(/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
21×	`times-frac_binary64`
20×	`distribute-lft-out--_binary64`
14×	`add-cube-cbrt_binary64`

Counts

2 → 59

Calls

2 calls:

9.0ms	(/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)
0.0ms	(log1p.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)))

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Rules

419×	`times-frac_binary64`
311×	`associate-/l*_binary64`
261×	`associate-/r*_binary64`
242×	`fma-def_binary64`
232×	`associate-r_binary64`

Counts

179 → 111

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	378	5986
1	1262	5669
2	5011	5669

prune277.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	262	0	262
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	262	2	264

Error

Counts

264 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 NdChar (exp.f64 (log1p.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))
▶	15.2b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 NaChar (-.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) (/.f64 (*.f64 mu (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) KbT))))

Status

Error

Program

✓

0.0b

(+.f64 (/.f64 NdChar (exp.f64 (log1p.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))

▶

15.2b

(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 NaChar (-.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) (/.f64 (*.f64 mu (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) KbT))))

Compiler

Compiled 14376 to 4413 computations (69.3% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT)
	0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
✓	0.2b	(/.f64 (*.f64 mu (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) KbT)
✓	0.2b	(/.f64 NaChar (-.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) (/.f64 (*.f64 mu (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) KbT)))

series784.0ms (8.2%)

Counts

3 → 140

Calls

3 calls:

555.0ms

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

174.0ms

(/.f64 (*.f64 mu (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) KbT)

54.0ms

(/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT)

rewrite46.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`*-un-lft-identity_binary64`
36×	`times-frac_binary64`
34×	`add-sqr-sqrt_binary64`
26×	`add-cube-cbrt_binary64`
16×	`distribute-lft-out_binary64`

Counts

3 → 107

Calls

3 calls:

13.0ms

(/.f64 (*.f64 mu (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) KbT)

12.0ms

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

6.0ms

(/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT)

simplify263.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

655×	`fma-def_binary64`
372×	`*-commutative_binary64`
270×	`+-commutative_binary64`
212×	`associate-+r+_binary64`
173×	`associate-r_binary64`

Counts

247 → 269

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1067	16414
1	3435	15255
2	5014	15255

prune541.0ms (5.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	413	0	413
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	413	2	415

Error

Counts

415 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 NdChar (exp.f64 (log1p.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))
✓	15.2b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 NaChar (-.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) (/.f64 (*.f64 mu (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) KbT))))

Status

Error

Program

✓

0.0b

(+.f64 (/.f64 NdChar (exp.f64 (log1p.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))

✓

15.2b

(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 NaChar (-.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) (/.f64 (*.f64 mu (exp.f64 (/.f64 (+.f64 EAccept (+.f64 Vef Ev)) KbT))) KbT))))

Compiler

Compiled 32518 to 9588 computations (70.5% saved)

regimes1.2s (12.9%)

Accuracy

Total 0.0b remaining (13.5%)

Threshold costs 0.0b (13.5%)

Counts

90 → 1

Compiler

Compiled 35450 to 23818 computations (32.8% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

18×	`cancel-sign-sub-inv_binary64`
14×	`+-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	27	45
1	40	45
2	57	45
3	81	45
4	103	45
5	117	45
6	121	45
7	117	45

end7.0ms (0.1%)

Remove: (sort Ev EAccept)
Compiler: Compiled 114 to 78 computations (31.6% saved)

sample1.6s (16.5%)

Algorithm

1×

intervals

Results

995.0ms	7999×	body	128	valid
2.0ms	2×	body	8192	exit
0.0ms	1×	body	1024	valid

Compiler

Compiled 175 to 118 computations (32.6% saved)

Details

analyze1.9s (20.3%)

sample139.0ms (1.5%)

simplify93.0ms (1%)

prune4.0ms (0%)

localize21.0ms (0.2%)

series230.0ms (2.4%)

rewrite54.0ms (0.6%)

simplify168.0ms (1.8%)

prune369.0ms (3.9%)

localize21.0ms (0.2%)

series1.6s (17.3%)

rewrite15.0ms (0.2%)

simplify96.0ms (1%)

prune277.0ms (2.9%)

localize25.0ms (0.3%)

series784.0ms (8.2%)

rewrite46.0ms (0.5%)

simplify263.0ms (2.8%)

prune541.0ms (5.7%)

regimes1.2s (12.9%)

simplify4.0ms (0%)

end7.0ms (0.1%)

sample1.6s (16.5%)

Profiling