Details

analyze2.2s (10.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5755	1702
0	9	9
1	9	9

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

Symmetry

(sort Ev EAccept)

Compiler

Compiled 32 to 29 computations (9.4% saved)

sample57.0ms (0.3%)

Algorithm

1×

intervals

Results

25.0ms

256×

body

128

valid

Compiler

Compiled 63 to 66 computations (-4.8% saved)

simplify111.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4969	44
1	4969	44

prune7.0ms (0%)

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)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite312.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

145×	`*-un-lft-identity_binary64_1442`
75×	`times-frac_binary64_1448`
67×	`add-sqr-sqrt_binary64_1464`
51×	`distribute-lft-out--_binary64_1394`
50×	`exp-prod_binary64_1494`
47×	`add-cube-cbrt_binary64_1477`
13×	`distribute-lft-out_binary64_1393`
10×	`difference-of-squares_binary64_1411` `associate-/l*_binary64_1387`
8×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
7×	`associate-/r*_binary64_1386`
6×	`add-log-exp_binary64_1481`
4×	`pow1_binary64_1503` `div-inv_binary64_1439`
3×	`div-sub_binary64_1447`
2×	`exp-diff_binary64_1490` `rem-exp-log_binary64_1482` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388`
1×	`flip3--_binary64_1446` `flip--_binary64_1417` `flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

4 → 147

Calls

4 calls:

16.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
16.0ms	(/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))
13.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
11.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

Compiler

Compiled 5856 to 1647 computations (71.9% saved)

series2.3s (11.3%)

Error

0.0b

Counts

4 → 105

Calls

4 calls:

935.0ms	(/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))
414.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
350.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
341.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

Compiler

Compiled 14007 to 8860 computations (36.7% saved)

simplify142.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

252 → 252

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4988	8238
1	4988	8238

prune478.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	250	2	252
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	251	2	253

Error

0.0b

Counts

253 → 2

Compiler

Compiled 11099 to 3381 computations (69.5% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
0.0b	(pow.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT)) 3)
0.0b	(exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT))
0.3b	(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT)) 3))

rewrite359.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

124×	`*-un-lft-identity_binary64_1442`
75×	`exp-prod_binary64_1494`
63×	`times-frac_binary64_1448`
61×	`add-sqr-sqrt_binary64_1464`
43×	`add-cube-cbrt_binary64_1477`
39×	`distribute-lft-out--_binary64_1394`
26×	`pow-pow_binary64_1514`
15×	`distribute-lft-out_binary64_1393`
12×	`cbrt-prod_binary64_1473`
9×	`difference-of-squares_binary64_1411`
6×	`add-log-exp_binary64_1481` `unpow-prod-down_binary64_1521` `cube-prod_binary64_1470`
5×	`pow1_binary64_1503` `add-cbrt-cube_binary64_1478`
4×	`add-exp-log_binary64_1480` `div-sub_binary64_1447` `exp-diff_binary64_1490`
3×	`div-inv_binary64_1439` `pow-unpow_binary64_1519`
2×	`cube-div_binary64_1471` `unpow3_binary64_1508` `cube-mult_binary64_1472` `sqr-pow_binary64_1414` `rem-exp-log_binary64_1482`
1×	`pow1/3_binary64_1524` `cbrt-div_binary64_1474` `rem-cbrt-cube_binary64_1466` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `rem-cube-cbrt_binary64_1465`

Counts

4 → 139

Calls

4 calls:

24.0ms	(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT)) 3))
17.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT))
15.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
14.0ms	(pow.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT)) 3)

Compiler

Compiled 5988 to 1910 computations (68.1% saved)

series2.5s (12.1%)

Error

0.0b

Counts

4 → 110

Calls

4 calls:

902.0ms	(pow.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT)) 3)
422.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT))
407.0ms	(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT)) 3))
394.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

Compiler

Compiled 18033 to 11782 computations (34.7% saved)

simplify135.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5119	10982

prune588.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	249	2	251

Error

0.0b

Counts

251 → 2

Compiler

Compiled 13584 to 4679 computations (65.6% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT))
0.2b	(*.f64 (sqrt.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT))))) (sqrt.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT))))))
0.5b	(sqrt.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT)))))
0.5b	(sqrt.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT)))))

rewrite706.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

152×	`*-un-lft-identity_binary64_1442`
134×	`sqrt-prod_binary64_1458`
117×	`add-sqr-sqrt_binary64_1464`
115×	`times-frac_binary64_1448`
71×	`add-cube-cbrt_binary64_1477`
29×	`swap-sqr_binary64_1409`
27×	`distribute-lft-out_binary64_1393`
25×	`exp-prod_binary64_1494`
21×	`pow1_binary64_1503` `associate-l_binary64_1383` `associate-r_binary64_1382`
15×	`distribute-lft-out--_binary64_1394`
12×	`associate-/r/_binary64_1388`
10×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460`
9×	`unswap-sqr_binary64_1410`
8×	`rem-sqrt-square_binary64_1455`
7×	`div-inv_binary64_1439`
6×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `sqrt-div_binary64_1459` `flip3-+_binary64_1445` `flip-+_binary64_1416`
5×	`add-log-exp_binary64_1481` `pow-prod-up_binary64_1512`
3×	`pow-prod-down_binary64_1513` `pow-sqr_binary64_1415` `difference-of-squares_binary64_1411`
2×	`sqr-abs_binary64_1457`
1×	`pow2_binary64_1523` `pow-plus_binary64_1505` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `sqrt-unprod_binary64_1462` `rem-square-sqrt_binary64_1454` `frac-times_binary64_1452` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `*-commutative_binary64_1373` `div-sub_binary64_1447` `exp-diff_binary64_1490` `rem-exp-log_binary64_1482`

Counts

4 → 204

Calls

4 calls:

59.0ms	(*.f64 (sqrt.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT))))) (sqrt.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT))))))
28.0ms	(sqrt.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT)))))
15.0ms	(sqrt.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT)))))
13.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT))

Compiler

Compiled 12791 to 4021 computations (68.6% saved)

series6.2s (30.3%)

Error

0.0b

Counts

4 → 105

Calls

4 calls:

2.1s	(sqrt.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT)))))
2.1s	(sqrt.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT)))))
936.0ms	(*.f64 (sqrt.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT))))) (sqrt.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT))))))
411.0ms	(exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 EDonor Vef))) KbT))

Compiler

Compiled 27563 to 17650 computations (36% saved)

simplify244.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

309 → 309

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5259	19243

prune1.1s (5.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	309	0	309
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	309	2	311

Error

0.0b

Counts

311 → 2

Compiler

Compiled 21919 to 8338 computations (62% saved)

regimes652.0ms (3.2%)

Accuracy

Total 0.0b remaining (44.9%)

Threshold costs 0.0b (44.9%)

Compiler

Compiled 7070 to 6348 computations (10.2% saved)

bsearch0.0ms (0%)

simplify26.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	226	49
1	226	49

Remove

(sort Ev EAccept)

Compiler

Compiled 64 to 58 computations (9.4% saved)

end0.0ms (0%)

sample2.2s (10.8%)

Algorithm

1×

intervals

Results

889.0ms

8000×

body

128

valid

Compiler

Compiled 763 to 680 computations (10.9% saved)

Details

analyze2.2s (10.9%)

sample57.0ms (0.3%)

simplify111.0ms (0.5%)

prune7.0ms (0%)

localize37.0ms (0.2%)

rewrite312.0ms (1.5%)

series2.3s (11.3%)

simplify142.0ms (0.7%)

prune478.0ms (2.3%)

localize35.0ms (0.2%)

rewrite359.0ms (1.7%)

series2.5s (12.1%)

simplify135.0ms (0.7%)

prune588.0ms (2.9%)

localize33.0ms (0.2%)

rewrite706.0ms (3.4%)

series6.2s (30.3%)

simplify244.0ms (1.2%)

prune1.1s (5.6%)

regimes652.0ms (3.2%)

bsearch0.0ms (0%)

simplify26.0ms (0.1%)

end0.0ms (0%)

sample2.2s (10.8%)

Profiling