Details

analyze1.5s (10.7%)

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 32 to 29 computations (9.4% saved)

sample42.0ms (0.3%)

Algorithm

1×

intervals

Results

21.0ms

256×

body

128

valid

Compiler

Compiled 63 to 66 computations (-4.8% saved)

simplify173.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4969	44
1	4969	44

prune8.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 58 to 52 computations (10.3% saved)

localize21.0ms (0.2%)

Local error

Found 8 expressions with local error:

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 Vef Ev) EAccept)
0.0b	(-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)
0.0b	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
0.0b	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

rewrite72.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

145×	`*-un-lft-identity_binary64_1736`
75×	`times-frac_binary64_1742`
67×	`add-sqr-sqrt_binary64_1758`
51×	`distribute-lft-out--_binary64_1688`
50×	`exp-prod_binary64_1788`
47×	`add-cube-cbrt_binary64_1771`
13×	`distribute-lft-out_binary64_1687`
10×	`difference-of-squares_binary64_1705` `associate-/l*_binary64_1681`
8×	`add-cbrt-cube_binary64_1772` `add-exp-log_binary64_1774`
7×	`associate-/r*_binary64_1680`
6×	`add-log-exp_binary64_1775`
4×	`pow1_binary64_1797` `div-inv_binary64_1733`
3×	`div-sub_binary64_1741`
2×	`associate-/l/_binary64_1683` `exp-diff_binary64_1784` `cbrt-undiv_binary64_1770` `frac-2neg_binary64_1747` `div-exp_binary64_1787` `associate-/r/_binary64_1682` `clear-num_binary64_1735` `rem-exp-log_binary64_1776`
1×	`flip--_binary64_1711` `flip-+_binary64_1710` `flip3--_binary64_1740` `flip3-+_binary64_1739`

Counts

4 → 147

Calls

8 calls:

16.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
12.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
12.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
12.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
0.0ms	(-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)

series1.9s (13.6%)

Counts

4 → 114

Calls

4 calls:

914.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
343.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
328.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
267.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

Compiler

Compiled 9523 to 7143 computations (25% saved)

simplify107.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5712	10378

prune507.0ms (3.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	258	3	261
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	259	3	262

Error

Counts

262 → 3

Compiler

Compiled 12715 to 3959 computations (68.9% saved)

localize26.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(exp.f64 (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 Vef Ev) EAccept)
0.0b	(-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)
0.0b	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
0.3b	(log.f64 (exp.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))

rewrite70.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

130×	`*-un-lft-identity_binary64_1736`
63×	`times-frac_binary64_1742`
60×	`add-sqr-sqrt_binary64_1758`
53×	`exp-prod_binary64_1788`
51×	`distribute-lft-out--_binary64_1688`
40×	`add-cube-cbrt_binary64_1771`
10×	`difference-of-squares_binary64_1705`
9×	`distribute-lft-out_binary64_1687`
7×	`associate-/l*_binary64_1681`
6×	`add-cbrt-cube_binary64_1772` `add-exp-log_binary64_1774` `add-log-exp_binary64_1775`
5×	`pow1_binary64_1797`
4×	`log-pow_binary64_1825`
3×	`log-prod_binary64_1822` `div-sub_binary64_1741` `div-inv_binary64_1733` `associate-/r*_binary64_1680`
2×	`associate-/l/_binary64_1683` `exp-diff_binary64_1784` `rem-exp-log_binary64_1776`
1×	`flip--_binary64_1711` `rem-log-exp_binary64_1777` `flip3--_binary64_1740` `cbrt-undiv_binary64_1770` `frac-2neg_binary64_1747` `div-exp_binary64_1787` `clear-num_binary64_1735`

Counts

4 → 129

Calls

8 calls:

12.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
12.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
11.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
10.0ms	(log.f64 (exp.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
0.0ms	(-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)

series1.8s (13%)

Counts

4 → 115

Calls

4 calls:

835.0ms	(log.f64 (exp.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
340.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
334.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
265.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

Compiler

Compiled 9016 to 7032 computations (22% saved)

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5078	8969

prune414.0ms (3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	244	3	247

Error

Counts

247 → 3

Compiler

Compiled 11983 to 3583 computations (70.1% saved)

localize36.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
0.0b	(+.f64 1 (pow.f64 (exp.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor))) (cbrt.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)))) (.f64 (cbrt.f64 KbT) (cbrt.f64 KbT)))) (/.f64 (cbrt.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor))) (cbrt.f64 KbT))))
0.0b	(+.f64 (+.f64 Vef Ev) EAccept)
0.0b	(-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)
0.5b	(*.f64 (cbrt.f64 KbT) (cbrt.f64 KbT))
0.6b	(cbrt.f64 KbT)
0.6b	(cbrt.f64 KbT)
0.6b	(cbrt.f64 KbT)

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1767`
23×	`add-sqr-sqrt_binary64_1758`
15×	`add-cube-cbrt_binary64_1771` `*-un-lft-identity_binary64_1736`
11×	`pow1_binary64_1797`
9×	`pow1/3_binary64_1818`
6×	`swap-sqr_binary64_1703` `associate-r_binary64_1676` `add-exp-log_binary64_1774` `associate-l_binary64_1677`
4×	`add-cbrt-cube_binary64_1772` `add-log-exp_binary64_1775` `unswap-sqr_binary64_1704`
2×	`pow-sqr_binary64_1709` `pow-prod-up_binary64_1806` `pow-prod-down_binary64_1807`
1×	`pow2_binary64_1817` `pow-plus_binary64_1799` `cbrt-unprod_binary64_1769` `*-commutative_binary64_1667` `prod-exp_binary64_1785`

Counts

4 → 73

Calls

8 calls:

6.0ms	(*.f64 (cbrt.f64 KbT) (cbrt.f64 KbT))
3.0ms	(cbrt.f64 KbT)
1.0ms	(cbrt.f64 KbT)
1.0ms	(cbrt.f64 KbT)
0.0ms	(-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)

series337.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

99.0ms	(*.f64 (cbrt.f64 KbT) (cbrt.f64 KbT))
81.0ms	(cbrt.f64 KbT)
79.0ms	(cbrt.f64 KbT)
78.0ms	(cbrt.f64 KbT)

Compiler

Compiled 1378 to 862 computations (37.4% saved)

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune126.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Error

Counts

88 → 3

Compiler

Compiled 4919 to 1055 computations (78.6% saved)

localize25.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
0.0b	(/.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) NaChar)
0.0b	(+.f64 (+.f64 Vef Ev) EAccept)
0.0b	(-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)
0.0b	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
0.1b	(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) NaChar))

rewrite83.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

201×	`*-un-lft-identity_binary64_1736`
159×	`times-frac_binary64_1742`
107×	`add-sqr-sqrt_binary64_1758`
87×	`add-cube-cbrt_binary64_1771`
51×	`distribute-lft-out--_binary64_1688`
50×	`exp-prod_binary64_1788`
21×	`distribute-lft-out_binary64_1687`
19×	`associate-/r*_binary64_1680`
17×	`add-exp-log_binary64_1774`
11×	`add-cbrt-cube_binary64_1772`
10×	`difference-of-squares_binary64_1705` `associate-/l*_binary64_1681`
8×	`div-exp_binary64_1787` `div-inv_binary64_1733`
6×	`add-log-exp_binary64_1775`
5×	`pow1_binary64_1797`
4×	`cbrt-undiv_binary64_1770`
3×	`div-sub_binary64_1741`
2×	`associate-/l/_binary64_1683` `1-exp_binary64_1780` `exp-diff_binary64_1784` `frac-2neg_binary64_1747` `clear-num_binary64_1735` `rec-exp_binary64_1786` `rem-exp-log_binary64_1776`
1×	`inv-pow_binary64_1821` `flip--_binary64_1711` `flip3--_binary64_1740` `associate-/r/_binary64_1682` `pow-flip_binary64_1810`

Counts

4 → 202

Calls

8 calls:

18.0ms	(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) NaChar))
13.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
12.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
11.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
0.0ms	(-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu)

series1.9s (13.8%)

Counts

4 → 114

Calls

4 calls:

936.0ms	(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) NaChar))
346.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
332.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
265.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

Compiler

Compiled 9773 to 7393 computations (24.4% saved)

simplify121.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5057	12644

prune558.0ms (4.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	316	0	316
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	316	3	319

Error

Counts

319 → 3

Compiler

Compiled 15503 to 5134 computations (66.9% saved)

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	453	1191
1	453	1191

regimes520.0ms (3.8%)

Accuracy

Total 0.0b remaining (33.1%)

Threshold costs 0.0b (33.1%)

Compiler

Compiled 6804 to 6147 computations (9.7% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	210	86
1	210	86

end0.0ms (0%)

sample3.2s (23.5%)

Algorithm

1×

intervals

Results

712.0ms	8000×	body	128	valid
1.0ms	1×	body	8192	exit

Compiler

Compiled 2294 to 2033 computations (11.4% saved)

Pareto

0.3472565184621062

Details

analyze1.5s (10.7%)

sample42.0ms (0.3%)

simplify173.0ms (1.3%)

prune8.0ms (0.1%)

localize21.0ms (0.2%)

rewrite72.0ms (0.5%)

series1.9s (13.6%)

simplify107.0ms (0.8%)

prune507.0ms (3.7%)

localize26.0ms (0.2%)

rewrite70.0ms (0.5%)

series1.8s (13%)

simplify95.0ms (0.7%)

prune414.0ms (3%)

localize36.0ms (0.3%)

rewrite23.0ms (0.2%)

series337.0ms (2.5%)

simplify73.0ms (0.5%)

prune126.0ms (0.9%)

localize25.0ms (0.2%)

rewrite83.0ms (0.6%)

series1.9s (13.8%)

simplify121.0ms (0.9%)

prune558.0ms (4.1%)

simplify21.0ms (0.2%)

regimes520.0ms (3.8%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample3.2s (23.5%)

Profiling