Details

analyze9.0ms (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)

sample29.0ms (0.6%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify565.0ms (12.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (386.0ms)

Iter	Nodes	Cost
0	4595	25
1	4595	25

prune5.0ms (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)

localize22.0ms (0.5%)

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)))
12.5b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite50.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1805`
14×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`times-frac_binary64_1789`
8×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-log-exp_binary64_1822`
6×	`pow1_binary64_1844`
5×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
3×	`associate-/l_binary64_1728` `associate-/r_binary64_1727` `associate-l_binary64_1724` `associate-r_binary64_1723`
2×	`associate-*r/_binary64_1725` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `+-commutative_binary64_1713` `sum-log_binary64_1874`
1×	`distribute-lft-in_binary64_1732` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `*-commutative_binary64_1714` `frac-2neg_binary64_1794` `distribute-rgt-in_binary64_1733` `div-exp_binary64_1834` `clear-num_binary64_1782` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`

Counts

4 → 75

Calls

4 calls:

14.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
12.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
6.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
5.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

series182.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

78.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
39.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
33.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
32.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

simplify139.0ms (3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4918	1675
1	4918	1675

prune182.0ms (4%)

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)

localize26.0ms (0.6%)

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)))
1.9b	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
4.7b	(/.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)))))

rewrite151.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

288×	`times-frac_binary64_1789`
166×	`add-sqr-sqrt_binary64_1805`
163×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
153×	`sqrt-prod_binary64_1799`
30×	`associate-/r*_binary64_1727`
20×	`sqrt-div_binary64_1800`
17×	`associate-/r/_binary64_1729`
13×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
12×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
9×	`associate-/l*_binary64_1728` `div-inv_binary64_1780`
7×	`pow1_binary64_1844`
4×	`associate-/l/_binary64_1730` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834` `add-log-exp_binary64_1822`
3×	`associate-l_binary64_1724` `associate-r_binary64_1723`
2×	`associate-*r/_binary64_1725` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`distribute-lft-in_binary64_1732` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow1/2_binary64_1863` `*-commutative_binary64_1714` `distribute-rgt-in_binary64_1733` `sqrt-pow1_binary64_1801` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751` `rem-sqrt-square_binary64_1796`

Counts

4 → 271

Calls

4 calls:

33.0ms	(/.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)))))
20.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
12.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
5.0ms	(sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

series226.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

78.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
73.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
43.0ms	(/.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)))

simplify388.0ms (8.4%)

Algorithm

1×	egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4902	13440
1	4902	13440

prune1.5s (33.2%)

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 11352 to 9306 computations (18% saved)

regimes64.0ms (1.4%)

Compiler: Compiled 230 to 192 computations (16.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	25
1	31	25

end0.0ms (0%)

sample1.0s (22.6%)

Algorithm

1×

intervals

Results

603.0ms

8000×

body

128

valid

Compiler

Compiled 132 to 111 computations (15.9% saved)

Details

analyze9.0ms (0.2%)

sample29.0ms (0.6%)

simplify565.0ms (12.2%)

prune5.0ms (0.1%)

localize22.0ms (0.5%)

rewrite50.0ms (1.1%)

series182.0ms (3.9%)

simplify139.0ms (3%)

prune182.0ms (4%)

localize26.0ms (0.6%)

rewrite151.0ms (3.3%)

series226.0ms (4.9%)

simplify388.0ms (8.4%)

prune1.5s (33.2%)

regimes64.0ms (1.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.0s (22.6%)

Profiling