Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify197.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	489	25
1	489	25

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
15.3b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1446`
14×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
9×	`times-frac_binary64_1431`
8×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460` `add-log-exp_binary64_1461`
6×	`pow1_binary64_1483`
5×	`flip3-+_binary64_1428` `flip-+_binary64_1399`
3×	`associate-/r_binary64_1371` `associate-l_binary64_1368` `associate-r_binary64_1367` `associate-/l_binary64_1372`
2×	`associate-*r/_binary64_1369` `sum-log_binary64_1513` `associate-/r/_binary64_1373` `+-commutative_binary64_1357` `associate-/l/_binary64_1374`
1×	`distribute-lft-in_binary64_1376` `frac-2neg_binary64_1436` `unswap-sqr_binary64_1393` `prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `clear-num_binary64_1424` `distribute-rgt-in_binary64_1377` `div-inv_binary64_1422` `div-exp_binary64_1473` `cbrt-undiv_binary64_1456` `*-commutative_binary64_1358` `pow-prod-down_binary64_1493`

Counts

4 → 75

Calls

4 calls:

7.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
3.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

series207.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

77.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
46.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
42.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
42.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

simplify81.0ms (3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5406	1675

prune118.0ms (4.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	2	88

Merged error: 0b

Counts

88 → 2

Compiler

Compiled 2140 to 1687 computations (21.2% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.1b	(/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
15.3b	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

rewrite46.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_1431`
60×	`add-sqr-sqrt_binary64_1446`
58×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
19×	`add-exp-log_binary64_1460`
18×	`associate-/r*_binary64_1371`
13×	`add-cbrt-cube_binary64_1458`
11×	`associate-/r/_binary64_1373`
8×	`flip3-+_binary64_1428` `flip-+_binary64_1399` `div-exp_binary64_1473`
7×	`pow1_binary64_1483`
6×	`div-inv_binary64_1422` `associate-/l*_binary64_1372` `add-log-exp_binary64_1461`
4×	`cbrt-undiv_binary64_1456`
3×	`associate-l_binary64_1368` `associate-r_binary64_1367`
2×	`frac-2neg_binary64_1436` `clear-num_binary64_1424` `associate-*r/_binary64_1369` `associate-/l/_binary64_1374` `1-exp_binary64_1466` `rec-exp_binary64_1472`
1×	`distribute-lft-in_binary64_1376` `pow-flip_binary64_1496` `inv-pow_binary64_1507` `unswap-sqr_binary64_1393` `prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `distribute-rgt-in_binary64_1377` `sum-log_binary64_1513` `+-commutative_binary64_1357` `*-commutative_binary64_1358` `pow-prod-down_binary64_1493`

Counts

4 → 148

Calls

4 calls:

10.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
10.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

series210.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
43.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
40.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))
39.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))

simplify97.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4908	4852
1	4908	4852

prune293.0ms (10.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	160	2	162

Merged error: 0b

Counts

162 → 2

Compiler

Compiled 4733 to 3831 computations (19.1% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.1b	(pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)
15.3b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
20.1b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3))

rewrite49.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64_1446`
45×	`times-frac_binary64_1431`
44×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
36×	`cbrt-prod_binary64_1453`
30×	`unpow-prod-down_binary64_1501` `cube-prod_binary64_1450`
11×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
10×	`associate-/r/_binary64_1373`
7×	`flip3-+_binary64_1428` `flip-+_binary64_1399` `pow1_binary64_1483`
5×	`div-inv_binary64_1422`
4×	`add-log-exp_binary64_1461`
3×	`associate-/r_binary64_1371` `pow-unpow_binary64_1499` `associate-l_binary64_1368` `associate-r_binary64_1367` `associate-/l_binary64_1372`
2×	`associate-*r/_binary64_1369` `pow-exp_binary64_1490` `rem-cube-cbrt_binary64_1447` `unpow3_binary64_1488` `cube-div_binary64_1451` `cube-mult_binary64_1452` `div-exp_binary64_1473` `associate-/l/_binary64_1374` `cbrt-undiv_binary64_1456` `sqr-pow_binary64_1397`
1×	`distribute-lft-in_binary64_1376` `frac-2neg_binary64_1436` `pow-pow_binary64_1494` `unswap-sqr_binary64_1393` `prod-exp_binary64_1471` `pow-to-exp_binary64_1491` `cbrt-div_binary64_1454` `cbrt-unprod_binary64_1455` `clear-num_binary64_1424` `distribute-rgt-in_binary64_1377` `pow1/3_binary64_1504` `rem-cbrt-cube_binary64_1448` `*-commutative_binary64_1358` `pow-prod-down_binary64_1493`

Counts

4 → 149

Calls

4 calls:

9.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3))
9.0ms	(pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)
7.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))

series213.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

81.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
47.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
44.0ms	(pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)
42.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3))

simplify91.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5705	5038

prune296.0ms (10.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	161	2	163

Merged error: 0b

Counts

163 → 2

Compiler

Compiled 4742 to 3846 computations (18.9% saved)

regimes50.0ms (1.8%)

Compiler: Compiled 484 to 404 computations (16.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	28
1	32	28

end0.0ms (0%)

sample690.0ms (25.3%)

Algorithm

1×

intervals

Results

322.0ms

8000×

body

128

valid

Compiler

Compiled 261 to 219 computations (16.1% saved)

Details

analyze5.0ms (0.2%)

sample16.0ms (0.6%)

simplify197.0ms (7.2%)

prune3.0ms (0.1%)

localize11.0ms (0.4%)

rewrite26.0ms (0.9%)

series207.0ms (7.6%)

simplify81.0ms (3%)

prune118.0ms (4.3%)

localize11.0ms (0.4%)

rewrite46.0ms (1.7%)

series210.0ms (7.7%)

simplify97.0ms (3.6%)

prune293.0ms (10.8%)

localize14.0ms (0.5%)

rewrite49.0ms (1.8%)

series213.0ms (7.8%)

simplify91.0ms (3.3%)

prune296.0ms (10.9%)

regimes50.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample690.0ms (25.3%)

Profiling