Details

analyze2.8s (23.8%)

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 (17.3%)

Symmetry

(sort Ev EAccept)

Results

2.0s	8256×	body	128	valid
2.0ms	2×	body	8192	exit

Compiler

Compiled 122 to 86 computations (29.5% saved)

simplify94.0ms (0.8%)

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 NaChar (+.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 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
✓	0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

series508.0ms (4.3%)

Counts

4 → 252

Calls

4 calls:

414.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
49.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
23.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
21.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)

rewrite53.0ms (0.4%)

Algorithm

2×	batch-egg-rewrite

Rules

278×	`log1p-expm1-u_binary64`
278×	`expm1-log1p-u_binary64`
268×	`add-log-exp_binary64`
265×	`add-exp-log_binary64`
264×	`add-cbrt-cube_binary64`

Counts

4 → 83

Calls

4 calls:

51.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
51.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
51.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
51.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	65
1	546	65
2	5225	65
0	0	0
1	0	0

simplify148.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

635×	`associate-/l*_binary64`
626×	`associate-/r*_binary64`
587×	`fma-def_binary64`
255×	`+-commutative_binary64`
250×	`*-commutative_binary64`

Counts

335 → 199

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	752	10243
1	2479	10092
2	5789	10092

prune406.0ms (3.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	197	2	199
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	198	2	200

Error

0.0b

Counts

200 → 2

Alt Table

Status	Error	Program
	0.0b	(+.f64 (/.f64 NdChar (fma.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))) 1)) (/.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 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))))))

Status

Error

Program

0.0b

(+.f64 (/.f64 NdChar (fma.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))) 1)) (/.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 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))))))

Compiler

Compiled 13826 to 5412 computations (60.9% saved)

localize23.0ms (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 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
	0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
✓	3.9b	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))

series2.0s (16.5%)

Counts

1 → 60

Calls

1 calls:

2.0s	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))

rewrite60.0ms (0.5%)

Algorithm

2×	batch-egg-rewrite

Rules

277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`
152×	`add-sqr-sqrt_binary64`
147×	`log1p-expm1-u_binary64`
147×	`expm1-log1p-u_binary64`

Counts

1 → 20

Calls

1 calls:

59.0ms

(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	291	16
2	4182	16
3	5001	16
0	0	0
1	0	0

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

505×	`associate-+r+_binary64`
420×	`fma-def_binary64`
295×	`+-commutative_binary64`
289×	`associate-+l+_binary64`
220×	`associate-r_binary64`

Counts

80 → 54

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	375	3342
1	1106	3140
2	4658	3128
3	4984	3128
4	4968	3128

prune428.0ms (3.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	287	0	287
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	287	2	289

Error

0.0b

Counts

289 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 NdChar (fma.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))) 1)) (/.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 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))))))

Status

Error

Program

▶

0.0b

(+.f64 (/.f64 NdChar (fma.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))) 1)) (/.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 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))))))

Compiler

Compiled 21418 to 7754 computations (63.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.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))) 1)
	0.0b	(/.f64 NaChar (+.f64 1 (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)

series214.0ms (1.8%)

Counts

1 → 60

Calls

1 calls:

214.0ms

(fma.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))) 1)

rewrite65.0ms (0.5%)

Algorithm

2×	batch-egg-rewrite

Rules

288×	`expm1-udef_binary64`
288×	`log1p-udef_binary64`
160×	`add-sqr-sqrt_binary64`
154×	`log1p-expm1-u_binary64`
154×	`expm1-log1p-u_binary64`

Counts

1 → 22

Calls

1 calls:

64.0ms

(fma.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))) 1)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	18
1	310	18
2	4319	18
3	5159	18
0	0	0
1	0	0

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

482×	`associate-+r+_binary64`
449×	`associate-/r/_binary64`
313×	`times-frac_binary64`
286×	`associate-+l+_binary64`
281×	`+-commutative_binary64`

Counts

82 → 62

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	2872
1	889	2846
2	3796	2649
3	5424	2649

prune370.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	238	2	240

Error

0.0b

Counts

240 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 NdChar (fma.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))) 1)) (/.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 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))))))

Status

Error

Program

✓

0.0b

(+.f64 (/.f64 NdChar (fma.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))) 1)) (/.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 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))))))

Compiler

Compiled 16907 to 5701 computations (66.3% saved)

regimes2.3s (19.5%)

Accuracy

Total 0.0b remaining (21.5%)

Threshold costs 0.0b (21.5%)

Counts

170 → 1

Compiler

Compiled 74360 to 49298 computations (33.7% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

16×	`+-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	32	68
1	49	68
2	65	68
3	85	68
4	108	68
5	117	68
6	118	68
7	114	68

end92.0ms (0.8%)

Remove: (sort Ev EAccept)
Compiler: Compiled 316 to 185 computations (41.5% saved)

Details

analyze2.8s (23.8%)

sample2.0s (17.3%)

simplify94.0ms (0.8%)

prune4.0ms (0%)

localize19.0ms (0.2%)

series508.0ms (4.3%)

rewrite53.0ms (0.4%)

simplify148.0ms (1.3%)

prune406.0ms (3.4%)

localize23.0ms (0.2%)

series2.0s (16.5%)

rewrite60.0ms (0.5%)

simplify100.0ms (0.8%)

prune428.0ms (3.6%)

localize21.0ms (0.2%)

series214.0ms (1.8%)

rewrite65.0ms (0.5%)

simplify99.0ms (0.8%)

prune370.0ms (3.1%)

regimes2.3s (19.5%)

simplify5.0ms (0%)

end92.0ms (0.8%)

Profiling