Details

analyze2.3s (14.6%)

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)

sample71.0ms (0.4%)

Algorithm

1×

intervals

Results

46.0ms

256×

body

128

valid

Compiler

Compiled 90 to 66 computations (26.7% saved)

simplify95.0ms (0.6%)

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)

localize28.0ms (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 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
✓	0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
✓	0.2b	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))

series558.0ms (3.6%)

Counts

4 → 252

Calls

4 calls:

438.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
70.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
26.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
23.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)

rewrite53.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`*-un-lft-identity_binary64`
54×	`times-frac_binary64`
54×	`add-sqr-sqrt_binary64`
38×	`add-cube-cbrt_binary64`
36×	`distribute-lft-out--_binary64`

Counts

4 → 148

Calls

4 calls:

15.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
9.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
9.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
9.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)

simplify253.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

630×	`fma-def_binary64`
268×	`+-commutative_binary64`
258×	`*-commutative_binary64`
201×	`associate-+r+_binary64`
173×	`distribute-rgt-in_binary64`

Counts

400 → 320

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	957	13910
1	2948	13512
2	4936	13512
3	4988	13512

prune438.0ms (2.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	318	2	320
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	319	2	321

Error

Counts

321 → 2

Alt Table

Status	Error	Program
	0.2b	(+.f64 (/.f64 NdChar (.f64 (.f64 (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))) (cbrt.f64 (+.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)))))
▶	0.1b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 (/.f64 NaChar (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))))

Status

Error

Program

0.2b

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

▶

0.1b

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

Compiler

Compiled 19348 to 6883 computations (64.4% 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)
✓	0.1b	(/.f64 NaChar (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))
✓	0.1b	(/.f64 (/.f64 NaChar (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))
✓	0.2b	(sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))

series1.6s (10.4%)

Counts

3 → 204

Calls

3 calls:

643.0ms

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

510.0ms

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

472.0ms

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

rewrite206.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

378×	`times-frac_binary64`
303×	`*-un-lft-identity_binary64`
228×	`sqrt-prod_binary64`
193×	`add-sqr-sqrt_binary64`
188×	`add-cube-cbrt_binary64`

Counts

3 → 310

Calls

3 calls:

56.0ms

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

25.0ms

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

11.0ms

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

simplify545.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

504×	`fma-def_binary64`
303×	`associate-/l*_binary64`
265×	`associate-/r*_binary64`
250×	`associate-*r/_binary64`
224×	`times-frac_binary64`

Counts

514 → 400

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1864	41700
1	4990	41700

prune1.1s (7.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	540	0	540
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	540	2	542

Error

Counts

542 → 2

Alt Table

Status	Error	Program
▶	0.2b	(+.f64 (/.f64 NdChar (.f64 (.f64 (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))) (cbrt.f64 (+.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)))))
✓	0.1b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 (/.f64 NaChar (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))))

Status

Error

Program

▶

0.2b

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

✓

0.1b

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

Compiler

Compiled 62739 to 27328 computations (56.4% saved)

localize26.0ms (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)
✓	0.2b	(cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))
	0.2b	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))

series1.7s (11.1%)

Counts

1 → 60

Calls

1 calls:

1.7s	(cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64`
4×	`cbrt-prod_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`cbrt-div_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 16

Calls

1 calls:

10.0ms

(cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-def_binary64`
444×	`times-frac_binary64`
286×	`associate-/l*_binary64`
285×	`associate-*r/_binary64`
268×	`associate-/r*_binary64`

Counts

76 → 71

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	510	5593
1	1672	5298
2	4995	5298

prune1.2s (8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	742	0	742
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	742	2	744

Error

Counts

744 → 2

Alt Table

Status	Error	Program
✓	0.2b	(+.f64 (/.f64 NdChar (.f64 (.f64 (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))) (cbrt.f64 (+.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)))))
✓	0.1b	(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 (/.f64 NaChar (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))))

Status

Error

Program

✓

0.2b

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

✓

0.1b

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

Compiler

Compiled 74485 to 27226 computations (63.4% saved)

regimes3.7s (23.6%)

Accuracy

Total 0.0b remaining (33.4%)

Threshold costs 0.0b (33.4%)

Counts

224 → 1

Compiler

Compiled 117870 to 72648 computations (38.4% 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	29	80
1	45	80
2	61	80
3	81	80
4	104	80
5	113	80
6	114	80
7	110	80

end9.0ms (0.1%)

Remove: (sort Ev EAccept)
Compiler: Compiled 183 to 87 computations (52.5% saved)

sample1.5s (9.7%)

Algorithm

1×

intervals

Results

969.0ms	8000×	body	128	valid
1.0ms	1×	body	8192	exit

Compiler

Compiled 231 to 133 computations (42.4% saved)

Details

analyze2.3s (14.6%)

sample71.0ms (0.4%)

simplify95.0ms (0.6%)

prune5.0ms (0%)

localize28.0ms (0.2%)

series558.0ms (3.6%)

rewrite53.0ms (0.3%)

simplify253.0ms (1.6%)

prune438.0ms (2.8%)

localize25.0ms (0.2%)

series1.6s (10.4%)

rewrite206.0ms (1.3%)

simplify545.0ms (3.5%)

prune1.1s (7.3%)

localize26.0ms (0.2%)

series1.7s (11.1%)

rewrite11.0ms (0.1%)

simplify95.0ms (0.6%)

prune1.2s (8%)

regimes3.7s (23.6%)

simplify5.0ms (0%)

end9.0ms (0.1%)

sample1.5s (9.7%)

Profiling