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

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify194.0ms (7%)

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))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
14.6b	(/.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))

series211.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

78.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
50.0ms	(+.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)))))
41.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

simplify81.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5406	1675

prune119.0ms (4.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

88 → 2

Compiler

Compiled 2126 to 1675 computations (21.2% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.1b	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
4.2b	(/.f64 (sqrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (sqrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)))))

rewrite85.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

288×	`times-frac_binary64_1431`
166×	`add-sqr-sqrt_binary64_1446`
163×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
153×	`sqrt-prod_binary64_1440`
30×	`associate-/r*_binary64_1371`
20×	`sqrt-div_binary64_1441`
17×	`associate-/r/_binary64_1373`
13×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
12×	`flip3-+_binary64_1428` `flip-+_binary64_1399`
9×	`div-inv_binary64_1422` `associate-/l*_binary64_1372`
7×	`pow1_binary64_1483`
4×	`div-exp_binary64_1473` `associate-/l/_binary64_1374` `cbrt-undiv_binary64_1456` `add-log-exp_binary64_1461`
3×	`associate-l_binary64_1368` `associate-r_binary64_1367`
2×	`frac-2neg_binary64_1436` `clear-num_binary64_1424` `associate-*r/_binary64_1369`
1×	`distribute-lft-in_binary64_1376` `unswap-sqr_binary64_1393` `prod-exp_binary64_1471` `pow1/2_binary64_1502` `cbrt-unprod_binary64_1455` `sqrt-pow1_binary64_1442` `distribute-rgt-in_binary64_1377` `rem-sqrt-square_binary64_1438` `*-commutative_binary64_1358` `pow-prod-down_binary64_1493`

Counts

4 → 271

Calls

4 calls:

17.0ms	(/.f64 (sqrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (sqrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)))))
9.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

series252.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
85.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
45.0ms	(/.f64 (sqrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (sqrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)))))
32.0ms	(sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

simplify173.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5113	13623

prune1.0s (36.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	283	2	285

Merged error: 0b

Counts

285 → 2

Compiler

Compiled 11466 to 9399 computations (18% saved)

regimes23.0ms (0.8%)

Compiler: Compiled 120 to 100 computations (16.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	25
1	31	25

end0.0ms (0%)

sample537.0ms (19.4%)

Algorithm

1×

intervals

Results

344.0ms

8000×

body

128

valid

Compiler

Compiled 77 to 65 computations (15.6% saved)

Details

analyze5.0ms (0.2%)

sample16.0ms (0.6%)

simplify194.0ms (7%)

prune3.0ms (0.1%)

localize11.0ms (0.4%)

rewrite26.0ms (0.9%)

series211.0ms (7.6%)

simplify81.0ms (2.9%)

prune119.0ms (4.3%)

localize13.0ms (0.5%)

rewrite85.0ms (3.1%)

series252.0ms (9.1%)

simplify173.0ms (6.3%)

prune1.0s (36.7%)

regimes23.0ms (0.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample537.0ms (19.4%)

Profiling