Details

analyze3.0s (24.4%)

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 (16%)

Symmetry

(sort Ev EAccept)

Results

1.8s	8256×	body	128	valid
4.0ms	3×	body	8192	exit

Compiler

Compiled 122 to 86 computations (29.5% saved)

simplify119.0ms (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)

localize19.0ms (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	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
✓	0.0b	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
✓	0.0b	(/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))

series358.0ms (2.9%)

Counts

4 → 252

Calls

4 calls:

224.0ms	(/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))
58.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
54.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
21.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

256×	`log1p-expm1-u_binary64`
256×	`expm1-log1p-u_binary64`
246×	`add-log-exp_binary64`
244×	`add-cbrt-cube_binary64`
244×	`add-exp-log_binary64`

Counts

4 → 81

Calls

4 calls:

69.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
69.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
69.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
69.0ms	(/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	65
1	502	65
2	4868	65
3	5209	65

simplify136.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

687×	`associate-/l*_binary64`
645×	`fma-def_binary64`
638×	`associate-/r*_binary64`
264×	`*-commutative_binary64`
248×	`+-commutative_binary64`

Counts

333 → 191

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	776	9932
1	2442	9806
2	5663	9806

prune238.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	190	2	192

Error

0.0b

Counts

192 → 2

Alt Table

Status	Error	Program
▶	34.6b	(+.f64 (-.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)))) (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) (.f64 EDonor NdChar)) (*.f64 KbT (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT))) 2)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))
✓	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)))))

Status

Error

Program

▶

34.6b

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

✓

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 13243 to 5023 computations (62.1% saved)

localize26.0ms (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	(/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)
✓	1.7b	(/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) (.f64 EDonor NdChar)) (*.f64 KbT (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT))) 2)))
✓	6.0b	(.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) (.f64 EDonor NdChar))

series666.0ms (5.4%)

Counts

3 → 128

Calls

3 calls:

583.0ms

(/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) (*.f64 EDonor NdChar)) (*.f64 KbT (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT))) 2)))

66.0ms

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

16.0ms

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

rewrite114.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

325×	`prod-diff_binary64`
213×	`egg-rr`
212×	`add-sqr-sqrt_binary64`
204×	`log1p-expm1-u_binary64`
204×	`expm1-log1p-u_binary64`

Counts

3 → 213

Calls

3 calls:

106.0ms

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

106.0ms

(/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) (*.f64 EDonor NdChar)) (*.f64 KbT (pow.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT))) 2)))

106.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	69
1	423	69
2	4819	69
3	5406	69

simplify172.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

973×	`fma-def_binary64`
457×	`*-commutative_binary64`
411×	`associate-*l/_binary64`
269×	`+-commutative_binary64`
217×	`associate-+r+_binary64`

Counts

341 → 309

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1068	12225
1	3298	11546
2	5673	11546

prune1.0s (8.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	674	1	675
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	675	2	677

Error

0.0b

Counts

677 → 2

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)))))
▶	30.8b	(+.f64 (-.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)))) (.f64 (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) EDonor) KbT) (/.f64 NdChar (pow.f64 (+.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) 1) 2)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))

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)))))

▶

30.8b

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

Compiler

Compiled 64760 to 21095 computations (67.4% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 NdChar (pow.f64 (+.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) 1) 2))
✓	0.0b	(/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) EDonor) KbT)
	0.0b	(/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)
✓	1.2b	(.f64 (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) EDonor) KbT) (/.f64 NdChar (pow.f64 (+.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) 1) 2)))

series1.2s (9.6%)

Counts

3 → 152

Calls

3 calls:

794.0ms

(*.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) EDonor) KbT) (/.f64 NdChar (pow.f64 (+.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) 1) 2)))

309.0ms

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

80.0ms

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

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

364×	`prod-diff_binary64`
214×	`add-sqr-sqrt_binary64`
207×	`log1p-expm1-u_binary64`
207×	`expm1-log1p-u_binary64`
201×	`add-log-exp_binary64`

Counts

3 → 102

Calls

3 calls:

83.0ms

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

83.0ms

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

83.0ms

(*.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) EDonor) KbT) (/.f64 NdChar (pow.f64 (+.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) 1) 2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	80
1	428	80
2	4859	80
3	5505	80

simplify251.0ms (2%)

Algorithm

1×	egg-herbie

Rules

626×	`*-commutative_binary64`
319×	`fma-def_binary64`
302×	`associate-+r+_binary64`
278×	`associate-/l*_binary64`
269×	`associate-r_binary64`

Counts

254 → 220

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1433	18411
1	4409	18381
2	5002	18381

prune969.0ms (7.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	712	0	712
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	712	2	714

Error

0.0b

Counts

714 → 2

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)))))
✓	30.8b	(+.f64 (-.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)))) (.f64 (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) EDonor) KbT) (/.f64 NdChar (pow.f64 (+.f64 (exp.f64 (/.f64 (-.f64 (+.f64 Vef mu) Ec) KbT)) 1) 2)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))

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)))))

✓

30.8b

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

Compiler

Compiled 73175 to 25021 computations (65.8% saved)

regimes1.8s (14.4%)

Accuracy

Total 0.0b remaining (3.1%)

Threshold costs 0.0b (3.1%)

Counts

112 → 1

Compiler

Compiled 61250 to 37408 computations (38.9% saved)

simplify4.0ms (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	26	44
1	41	44
2	57	44
3	77	44
4	100	44
5	109	44
6	110	44
7	106	44

end86.0ms (0.7%)

Remove: (sort Ev EAccept)
Compiler: Compiled 254 to 164 computations (35.4% saved)

Details

analyze3.0s (24.4%)

sample2.0s (16%)

simplify119.0ms (1%)

prune4.0ms (0%)

localize19.0ms (0.2%)

series358.0ms (2.9%)

rewrite71.0ms (0.6%)

simplify136.0ms (1.1%)

prune238.0ms (1.9%)

localize26.0ms (0.2%)

series666.0ms (5.4%)

rewrite114.0ms (0.9%)

simplify172.0ms (1.4%)

prune1.0s (8.4%)

localize29.0ms (0.2%)

series1.2s (9.6%)

rewrite85.0ms (0.7%)

simplify251.0ms (2%)

prune969.0ms (7.9%)

regimes1.8s (14.4%)

simplify4.0ms (0%)

end86.0ms (0.7%)

Profiling