Details

analyze2.6s (24.2%)

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)

sample1.9s (17.5%)

Results

1.8s

8256×

body

128

valid

Compiler

Compiled 82 to 58 computations (29.3% saved)

preprocess58.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

736×	`sub-neg_binary64`
625×	`div-sub_binary64`
369×	`fma-def_binary64`
287×	`+-commutative_binary64`
236×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	468	1702
1	1013	1702
2	3250	1702
0	9	9
1	9	9

Stop Event

1×	unsound
1×	node limit

Symmetry

(sort Ev EAccept)

Compiler

Compiled 40 to 28 computations (30% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

726×	`div-sub_binary64`
231×	`fma-def_binary64`
219×	`exp-diff_binary64`
206×	`exp-sum_binary64`
205×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	46
1	57	46
2	160	44
3	522	44
4	1570	44
5	3701	44

Stop Event

1×	node limit

Counts

1 → 2

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

Compiler

Compiled 145 to 97 computations (33.1% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series349.0ms (3.3%)

Counts

4 → 252

Calls

63 calls:

50.0ms	(/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (-.f64 mu (-.f64 Ec EDonor))) KbT))))	KbT	-inf
46.0ms	(/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (-.f64 mu (-.f64 Ec EDonor))) KbT))))	KbT	inf
23.0ms	(+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)))	KbT	inf
19.0ms	(+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)))	KbT	-inf
16.0ms	(exp.f64 (/.f64 (+.f64 Vef (-.f64 mu (-.f64 Ec EDonor))) KbT))	KbT	-inf

rewrite38.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

274×	`log1p-expm1-u_binary64`
274×	`expm1-log1p-u_binary64`
272×	`add-cbrt-cube_binary64`
262×	`add-log-exp_binary64`
259×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	67
1	542	67

Stop Event

1×	node limit

Counts

4 → 74

simplify148.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

853×	`fma-def_binary64`
350×	`+-commutative_binary64`
332×	`*-commutative_binary64`
280×	`associate-+r+_binary64`
157×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1002	11669
1	3779	11477

Stop Event

1×	node limit

Counts

326 → 229

prune310.0ms (2.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	226	3	229
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	227	3	230

Error

Counts

230 → 3

Alt Table

Status	Error	Program
	0.0b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (-.f64 mu (-.f64 Ec EDonor))) KbT)))) (/.f64 NaChar (exp.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT))))))
▶	0.0b	(+.f64 (/.f64 NdChar (+.f64 1 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT))) 2))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)))))
	0.1b	(+.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT)) 1) NdChar) -1) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)))))

Compiler

Compiled 16694 to 6560 computations (60.7% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series301.0ms (2.8%)

Counts

3 → 192

Calls

48 calls:

54.0ms	(/.f64 NdChar (+.f64 1 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT))) 2)))	KbT	inf
44.0ms	(/.f64 NdChar (+.f64 1 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT))) 2)))	KbT	-inf
18.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT))	KbT	-inf
15.0ms	(/.f64 NdChar (+.f64 1 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT))) 2)))	NdChar	-inf
13.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT))	KbT	inf

rewrite37.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

196×	`add-sqr-sqrt_binary64`
192×	`log1p-expm1-u_binary64`
192×	`expm1-log1p-u_binary64`
188×	`add-cbrt-cube_binary64`
183×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	49
1	409	49

Stop Event

1×	node limit

Counts

3 → 81

simplify105.0ms (1%)

Algorithm

1×	egg-herbie

Rules

686×	`associate-/l*_binary64`
653×	`fma-def_binary64`
264×	`*-commutative_binary64`
233×	`+-commutative_binary64`
187×	`associate-+r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	742	8761
1	2870	8635

Stop Event

1×	node limit

Counts

273 → 191

prune416.0ms (3.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	256	3	259

Error

Counts

259 → 3

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (-.f64 mu (-.f64 Ec EDonor))) KbT)))) (/.f64 NaChar (exp.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT))))))
✓	0.0b	(+.f64 (/.f64 NdChar (+.f64 1 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT))) 2))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)))))
	0.1b	(+.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT)) 1) NdChar) -1) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)))))

Compiler

Compiled 18232 to 7366 computations (59.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (-.f64 mu (-.f64 Ec EDonor))) KbT))))
	0.0b	(/.f64 (+.f64 Vef (-.f64 mu (-.f64 Ec EDonor))) KbT)
	0.0b	(exp.f64 (/.f64 (+.f64 Vef (-.f64 mu (-.f64 Ec EDonor))) KbT))
✓	0.2b	(log1p.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)))

series1.1s (10.1%)

Counts

1 → 60

Calls

15 calls:

127.0ms	(log1p.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)))	Ev	inf
126.0ms	(log1p.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)))	EAccept	-inf
124.0ms	(log1p.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)))	Vef	inf
114.0ms	(log1p.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)))	Vef	-inf
113.0ms	(log1p.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT)))	EAccept	inf

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

330×	`fma-neg_binary64`
261×	`expm1-udef_binary64`
261×	`log1p-udef_binary64`
142×	`add-sqr-sqrt_binary64`
139×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	271	17
2	4128	17

Stop Event

1×	node limit

Counts

1 → 16

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

409×	`times-frac_binary64`
293×	`associate-/l*_binary64`
249×	`associate-/r*_binary64`
235×	`fma-def_binary64`
230×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	293	3536
1	1128	3430

Stop Event

1×	node limit

Counts

76 → 59

prune368.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	223	3	226

Error

Counts

226 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (-.f64 mu (-.f64 Ec EDonor))) KbT)))) (/.f64 NaChar (exp.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT))))))
✓	0.0b	(+.f64 (/.f64 NdChar (+.f64 1 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT))) 2))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)))))
▶	0.1b	(+.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT)) 1) NdChar) -1) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)))))

Compiler

Compiled 16921 to 5976 computations (64.7% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)))
	0.0b	(/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT)
	0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT))
✓	0.3b	(pow.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT)) 1) NdChar) -1)

series523.0ms (4.9%)

Counts

1 → 72

Calls

18 calls:

196.0ms	(pow.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT)) 1) NdChar) -1)	KbT	inf
171.0ms	(pow.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT)) 1) NdChar) -1)	KbT	-inf
13.0ms	(pow.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT)) 1) NdChar) -1)	EDonor	-inf
12.0ms	(pow.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT)) 1) NdChar) -1)	mu	inf
11.0ms	(pow.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT)) 1) NdChar) -1)	EDonor	inf

rewrite25.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

198×	`add-sqr-sqrt_binary64`
192×	`log1p-expm1-u_binary64`
192×	`expm1-log1p-u_binary64`
190×	`add-cbrt-cube_binary64`
183×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	24
1	387	21

Stop Event

1×	node limit

Counts

1 → 31

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-def_binary64`
671×	`associate-/l*_binary64`
325×	`*-commutative_binary64`
226×	`+-commutative_binary64`
195×	`associate-+r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	803	6994
1	3338	6854

Stop Event

1×	node limit

Counts

103 → 78

prune438.0ms (4.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	261	0	261
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	261	3	264

Error

Counts

264 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (-.f64 mu (-.f64 Ec EDonor))) KbT)))) (/.f64 NaChar (exp.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 (+.f64 Vef Ev) (-.f64 EAccept mu)) KbT))))))
✓	0.0b	(+.f64 (/.f64 NdChar (+.f64 1 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT))) 2))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)))))
✓	0.1b	(+.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) (-.f64 Ec EDonor)) KbT)) 1) NdChar) -1) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 Ev (-.f64 EAccept mu))) KbT)))))

Compiler

Compiled 20960 to 8932 computations (57.4% saved)

regimes1.6s (15.2%)

Accuracy

Total 0.0b remaining (16.5%)

Threshold costs 0.0b (16.5%)

Counts

127 → 1

Compiler

Compiled 48140 to 33728 computations (29.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	45
1	40	45
2	53	45
3	68	45
4	86	45
5	92	45

Stop Event

1×

saturated

end96.0ms (0.9%)

Stop Event

1×

done

Remove

(sort Ev EAccept)

Compiler

Compiled 271 to 187 computations (31% saved)

Details

analyze2.6s (24.2%)

sample1.9s (17.5%)

preprocess58.0ms (0.5%)

simplify25.0ms (0.2%)

prune4.0ms (0%)

localize22.0ms (0.2%)

series349.0ms (3.3%)

rewrite38.0ms (0.4%)

simplify148.0ms (1.4%)

prune310.0ms (2.9%)

localize23.0ms (0.2%)

series301.0ms (2.8%)

rewrite37.0ms (0.3%)

simplify105.0ms (1%)

prune416.0ms (3.9%)

localize21.0ms (0.2%)

series1.1s (10.1%)

rewrite49.0ms (0.5%)

simplify51.0ms (0.5%)

prune368.0ms (3.4%)

localize22.0ms (0.2%)

series523.0ms (4.9%)

rewrite25.0ms (0.2%)

simplify97.0ms (0.9%)

prune438.0ms (4.1%)

regimes1.6s (15.2%)

simplify3.0ms (0%)

end96.0ms (0.9%)

Profiling