Details

analyze4.0ms (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)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify203.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

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)

localize14.0ms (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)))
14.6b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite27.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1477`
14×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
9×	`times-frac_binary64_1461`
8×	`add-log-exp_binary64_1494` `add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
6×	`pow1_binary64_1516`
5×	`flip-+_binary64_1429` `flip3-+_binary64_1458`
3×	`associate-r_binary64_1395` `associate-/r_binary64_1399` `associate-/l_binary64_1400` `associate-l_binary64_1396`
2×	`associate-*r/_binary64_1397` `associate-/r/_binary64_1401` `associate-/l/_binary64_1402` `sum-log_binary64_1546` `+-commutative_binary64_1385`
1×	`prod-exp_binary64_1504` `distribute-rgt-in_binary64_1405` `div-exp_binary64_1506` `clear-num_binary64_1454` `*-commutative_binary64_1386` `cbrt-undiv_binary64_1489` `frac-2neg_binary64_1466` `distribute-lft-in_binary64_1404` `cbrt-unprod_binary64_1488` `div-inv_binary64_1452` `pow-prod-down_binary64_1526` `unswap-sqr_binary64_1423`

Counts

4 → 75

Calls

4 calls:

8.0ms	(/.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))

series205.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
45.0ms	(+.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))

simplify83.0ms (3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4975	1675
1	4975	1675

prune156.0ms (5.6%)

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 2787 to 2227 computations (20.1% 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)))))

rewrite87.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

288×	`times-frac_binary64_1461`
166×	`add-sqr-sqrt_binary64_1477`
163×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
153×	`sqrt-prod_binary64_1471`
30×	`associate-/r*_binary64_1399`
20×	`sqrt-div_binary64_1472`
17×	`associate-/r/_binary64_1401`
13×	`add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
12×	`flip-+_binary64_1429` `flip3-+_binary64_1458`
9×	`associate-/l*_binary64_1400` `div-inv_binary64_1452`
7×	`pow1_binary64_1516`
4×	`associate-/l/_binary64_1402` `div-exp_binary64_1506` `add-log-exp_binary64_1494` `cbrt-undiv_binary64_1489`
3×	`associate-r_binary64_1395` `associate-l_binary64_1396`
2×	`associate-*r/_binary64_1397` `clear-num_binary64_1454` `frac-2neg_binary64_1466`
1×	`prod-exp_binary64_1504` `sqrt-pow1_binary64_1473` `distribute-rgt-in_binary64_1405` `rem-sqrt-square_binary64_1468` `*-commutative_binary64_1386` `distribute-lft-in_binary64_1404` `cbrt-unprod_binary64_1488` `pow1/2_binary64_1535` `pow-prod-down_binary64_1526` `unswap-sqr_binary64_1423`

Counts

4 → 271

Calls

4 calls:

19.0ms	(/.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))))
7.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

series240.0ms (8.6%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
77.0ms	(.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)))

simplify173.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5189	13608

prune1.0s (36.9%)

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 11457 to 9390 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%)

sample511.0ms (18.3%)

Algorithm

1×

intervals

Results

322.0ms

8000×

body

128

valid

Compiler

Compiled 77 to 65 computations (15.6% saved)

Details

analyze4.0ms (0.2%)

sample15.0ms (0.6%)

simplify203.0ms (7.3%)

prune3.0ms (0.1%)

localize14.0ms (0.5%)

rewrite27.0ms (1%)

series205.0ms (7.3%)

simplify83.0ms (3%)

prune156.0ms (5.6%)

localize13.0ms (0.5%)

rewrite87.0ms (3.1%)

series240.0ms (8.6%)

simplify173.0ms (6.2%)

prune1.0s (36.9%)

regimes23.0ms (0.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample511.0ms (18.3%)

Profiling