Details

analyze2.8s (21.8%)

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)

sample2.2s (16.6%)

Symmetry

(sort Ev EAccept)

Results

2.1s

8256×

body

128

valid

Compiler

Compiled 122 to 86 computations (29.5% saved)

simplify94.0ms (0.7%)

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)

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 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
✓	0.0b	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
✓	0.1b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

series156.0ms (1.2%)

Counts

4 → 240

Calls

4 calls:

46.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
43.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
42.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
23.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

rewrite51.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

131×	`*-un-lft-identity_binary64`
63×	`times-frac_binary64`
59×	`add-sqr-sqrt_binary64`
51×	`distribute-lft-out--_binary64`
50×	`exp-prod_binary64`

Counts

4 → 137

Calls

4 calls:

11.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
11.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
9.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
8.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

simplify184.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

604×	`times-frac_binary64`
491×	`fma-def_binary64`
394×	`associate-/l*_binary64`
347×	`associate-/r*_binary64`
252×	`+-commutative_binary64`

Counts

377 → 318

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	738	11994
1	2137	11737
2	5135	11737

prune427.0ms (3.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	316	2	318
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	317	2	319

Error

0.0b

Counts

319 → 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 (*.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (sqrt.f64 (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 (expm1.f64 (log1p.f64 (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 (*.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (sqrt.f64 (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 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))))

Compiler

Compiled 18417 to 6359 computations (65.5% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
✓	0.0b	(*.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
	0.0b	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
	0.1b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

series45.0ms (0.3%)

Counts

1 → 60

Calls

1 calls:

45.0ms

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

rewrite171.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

885×	`*-un-lft-identity_binary64`
390×	`sqrt-pow1_binary64`
382×	`exp-prod_binary64`
350×	`times-frac_binary64`
222×	`distribute-lft-out_binary64`

Counts

1 → 247

Calls

1 calls:

54.0ms

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

simplify171.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

430×	`associate-+r+_binary64`
333×	`times-frac_binary64`
260×	`+-commutative_binary64`
246×	`associate-+l+_binary64`
228×	`associate-/l*_binary64`

Counts

307 → 189

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	7962
1	1170	7146
2	4330	7050
3	4988	7050

prune620.0ms (4.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	528	1	529
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	530	1	531

Error

0.0b

Counts

531 → 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 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (sqrt.f64 (pow.f64 (E.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 (*.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (sqrt.f64 (pow.f64 (E.f64) (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))))

Compiler

Compiled 34528 to 9856 computations (71.5% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (sqrt.f64 (pow.f64 (E.f64) (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
	0.0b	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
	0.1b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
✓	0.1b	(pow.f64 (E.f64) (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

series162.0ms (1.2%)

Counts

2 → 120

Calls

2 calls:

115.0ms

(*.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (sqrt.f64 (pow.f64 (E.f64) (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))

47.0ms

(pow.f64 (E.f64) (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

rewrite41.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`*-un-lft-identity_binary64`
44×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
25×	`pow-unpow_binary64`
20×	`sqrt-prod_binary64`

Counts

2 → 93

Calls

2 calls:

23.0ms

(*.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (sqrt.f64 (pow.f64 (E.f64) (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))

7.0ms

(pow.f64 (E.f64) (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

simplify128.0ms (1%)

Algorithm

1×	egg-herbie

Rules

762×	`associate-+r+_binary64`
418×	`associate-+l+_binary64`
351×	`fma-def_binary64`
348×	`times-frac_binary64`
226×	`associate-/l*_binary64`

Counts

213 → 175

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	504	8252
1	1449	7789
2	5820	7789

prune468.0ms (3.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	346	1	347
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	346	2	348

Error

0.0b

Counts

348 → 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 (*.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (sqrt.f64 (pow.f64 (E.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 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (sqrt.f64 (pow.f64 (E.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 (*.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (sqrt.f64 (pow.f64 (E.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 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (sqrt.f64 (pow.f64 (E.f64) (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))))))

Compiler

Compiled 26218 to 7877 computations (70% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
	0.0b	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
	0.1b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
	0.1b	(pow.f64 (E.f64) (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

series1.0s (7.8%)

Counts

1 → 60

Calls

1 calls:

1.0s	(cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`sqrt-prod_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 17

Calls

1 calls:

9.0ms

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

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

455×	`associate-+r+_binary64`
348×	`times-frac_binary64`
340×	`fma-def_binary64`
277×	`+-commutative_binary64`
258×	`associate-+l+_binary64`

Counts

77 → 71

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	3527
1	1057	3461
2	4260	3421
3	5013	3421

prune1.0s (8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	660	0	660
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	660	2	662

Error

0.0b

Counts

662 → 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 (*.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (sqrt.f64 (pow.f64 (E.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 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (sqrt.f64 (pow.f64 (E.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 (*.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (sqrt.f64 (pow.f64 (E.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 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (sqrt.f64 (pow.f64 (E.f64) (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))))))

Compiler

Compiled 69326 to 16976 computations (75.5% saved)

regimes3.0s (22.8%)

Accuracy

Total 0.0b remaining (3.8%)

Threshold costs 0.0b (3.8%)

Counts

212 → 1

Compiler

Compiled 100720 to 64188 computations (36.3% saved)

simplify5.0ms (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	31	67
1	48	67
2	64	67
3	84	67
4	107	67
5	116	67
6	117	67
7	113	67

end91.0ms (0.7%)

Remove: (sort Ev EAccept)
Compiler: Compiled 339 to 189 computations (44.2% saved)

Details

analyze2.8s (21.8%)

sample2.2s (16.6%)

simplify94.0ms (0.7%)

prune4.0ms (0%)

localize23.0ms (0.2%)

series156.0ms (1.2%)

rewrite51.0ms (0.4%)

simplify184.0ms (1.4%)

prune427.0ms (3.3%)

localize24.0ms (0.2%)

series45.0ms (0.3%)

rewrite171.0ms (1.3%)

simplify171.0ms (1.3%)

prune620.0ms (4.7%)

localize23.0ms (0.2%)

series162.0ms (1.2%)

rewrite41.0ms (0.3%)

simplify128.0ms (1%)

prune468.0ms (3.6%)

localize27.0ms (0.2%)

series1.0s (7.8%)

rewrite10.0ms (0.1%)

simplify85.0ms (0.6%)

prune1.0s (8%)

regimes3.0s (22.8%)

simplify5.0ms (0%)

end91.0ms (0.7%)

Profiling