Details

analyze2.3s (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)

sample81.0ms (0.7%)

Algorithm

1×

intervals

Results

28.0ms

256×

body

128

valid

Compiler

Compiled 90 to 66 computations (26.7% saved)

simplify98.0ms (0.9%)

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

prune5.0ms (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 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) 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	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

rewrite47.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`*-un-lft-identity_binary64`
75×	`times-frac_binary64`
70×	`add-sqr-sqrt_binary64`
48×	`add-cube-cbrt_binary64`
45×	`distribute-lft-out--_binary64`

Counts

4 → 167

Calls

4 calls:

11.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
10.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) 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))

series622.0ms (5.4%)

Counts

4 → 252

Calls

4 calls:

460.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
56.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
53.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
52.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

simplify232.0ms (2%)

Algorithm

1×	egg-herbie

Rules

696×	`associate-/l*_binary64`
607×	`fma-def_binary64`
252×	`+-commutative_binary64`
229×	`*-commutative_binary64`
192×	`associate-+r+_binary64`

Counts

419 → 721

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	914	13968
1	2753	13582
2	5710	13582

prune509.0ms (4.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	719	2	721
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	720	2	722

Error

Counts

722 → 2

Alt Table

Status	Error	Program
	17.2b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (cbrt.f64 (pow.f64 (/.f64 NaChar (+.f64 (exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT)) 1)) 3)))
▶	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 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))))

Status

Error

Program

17.2b

(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (cbrt.f64 (pow.f64 (/.f64 NaChar (+.f64 (exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT)) 1)) 3)))

▶

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

Compiler

Compiled 20305 to 7078 computations (65.1% saved)

localize25.0ms (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	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
	0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
	0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune654.0ms (5.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	1387	0	1387
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	1387	2	1389

Error

Counts

1389 → 2

Alt Table

Status	Error	Program
▶	17.2b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (cbrt.f64 (pow.f64 (/.f64 NaChar (+.f64 (exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT)) 1)) 3)))
✓	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 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))))

Status

Error

Program

▶

17.2b

(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (cbrt.f64 (pow.f64 (/.f64 NaChar (+.f64 (exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT)) 1)) 3)))

✓

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

Compiler

Compiled 27606 to 7065 computations (74.4% saved)

localize25.0ms (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 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT)
✓	0.0b	(exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT))
✓	23.0b	(cbrt.f64 (pow.f64 (/.f64 NaChar (+.f64 (exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT)) 1)) 3))

rewrite46.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

116×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
42×	`cbrt-prod_binary64`
41×	`add-sqr-sqrt_binary64`
41×	`add-cube-cbrt_binary64`

Counts

3 → 131

Calls

3 calls:

19.0ms

(cbrt.f64 (pow.f64 (/.f64 NaChar (+.f64 (exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT)) 1)) 3))

10.0ms

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

8.0ms

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

series547.0ms (4.7%)

Counts

3 → 192

Calls

3 calls:

438.0ms

(cbrt.f64 (pow.f64 (/.f64 NaChar (+.f64 (exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT)) 1)) 3))

56.0ms

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

52.0ms

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

simplify219.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

696×	`associate-/l*_binary64`
588×	`fma-def_binary64`
237×	`+-commutative_binary64`
228×	`*-commutative_binary64`
186×	`associate-+r+_binary64`

Counts

323 → 531

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	859	12745
1	2681	12288
2	5380	12288

prune494.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	699	0	699
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	699	2	701

Error

Counts

701 → 2

Alt Table

Status	Error	Program
✓	17.2b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (cbrt.f64 (pow.f64 (/.f64 NaChar (+.f64 (exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT)) 1)) 3)))
✓	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 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))))

Status

Error

Program

✓

17.2b

(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (cbrt.f64 (pow.f64 (/.f64 NaChar (+.f64 (exp.f64 (/.f64 (+.f64 Vef (-.f64 (+.f64 EAccept Ev) mu)) KbT)) 1)) 3)))

✓

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

Compiler

Compiled 20263 to 7669 computations (62.2% saved)

regimes4.1s (35.2%)

Accuracy

Total 0.0b remaining (6.9%)

Threshold costs 0.0b (6.9%)

Compiler

Compiled 132530 to 83948 computations (36.7% saved)

simplify6.0ms (0.1%)

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	29	84
1	45	84
2	61	84
3	81	84
4	104	84
5	113	84
6	114	84
7	110	84

end8.0ms (0.1%)

Remove: (sort Ev EAccept)
Compiler: Compiled 189 to 87 computations (54% saved)

sample1.5s (12.8%)

Algorithm

1×

intervals

Results

936.0ms	8000×	body	128	valid
1.0ms	1×	body	8192	exit

Compiler

Compiled 217 to 125 computations (42.4% saved)

Details

analyze2.3s (20.3%)

sample81.0ms (0.7%)

simplify98.0ms (0.9%)

prune5.0ms (0%)

localize21.0ms (0.2%)

rewrite47.0ms (0.4%)

series622.0ms (5.4%)

simplify232.0ms (2%)

prune509.0ms (4.4%)

localize25.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify24.0ms (0.2%)

prune654.0ms (5.7%)

localize25.0ms (0.2%)

rewrite46.0ms (0.4%)

series547.0ms (4.7%)

simplify219.0ms (1.9%)

prune494.0ms (4.3%)

regimes4.1s (35.2%)

simplify6.0ms (0.1%)

end8.0ms (0.1%)

sample1.5s (12.8%)

Profiling