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)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify199.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	489	25
1	489	25

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	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 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
14.6b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))

rewrite26.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2853`
14×	`add-cube-cbrt_binary64_2866` `*-un-lft-identity_binary64_2831`
9×	`times-frac_binary64_2837`
8×	`add-log-exp_binary64_2870` `add-cbrt-cube_binary64_2867` `add-exp-log_binary64_2869`
6×	`pow1_binary64_2892`
5×	`flip3-+_binary64_2834` `flip-+_binary64_2805`
3×	`associate-r_binary64_2771` `associate-l_binary64_2772` `associate-/l_binary64_2776` `associate-/r_binary64_2775`
2×	`associate-/l/_binary64_2778` `associate-*l/_binary64_2774` `+-commutative_binary64_2761` `sum-log_binary64_2922` `associate-/r/_binary64_2777`
1×	`frac-2neg_binary64_2842` `pow-prod-down_binary64_2902` `cbrt-unprod_binary64_2864` `*-commutative_binary64_2762` `div-inv_binary64_2828` `cbrt-undiv_binary64_2865` `unswap-sqr_binary64_2799` `prod-exp_binary64_2880` `div-exp_binary64_2882` `clear-num_binary64_2830`

Counts

4 → 73

Calls

4 calls:

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

series210.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
43.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
41.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
39.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

simplify66.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5492	1653

prune155.0ms (6.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	2	86

Merged error: 0b

Counts

86 → 2

Compiler

Compiled 2749 to 2199 computations (20% 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)))))

rewrite80.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

288×	`times-frac_binary64_2837`
166×	`add-sqr-sqrt_binary64_2853`
163×	`add-cube-cbrt_binary64_2866` `*-un-lft-identity_binary64_2831`
153×	`sqrt-prod_binary64_2847`
30×	`associate-/r*_binary64_2775`
20×	`sqrt-div_binary64_2848`
17×	`associate-/r/_binary64_2777`
13×	`add-cbrt-cube_binary64_2867` `add-exp-log_binary64_2869`
12×	`flip3-+_binary64_2834` `flip-+_binary64_2805`
9×	`div-inv_binary64_2828` `associate-/l*_binary64_2776`
7×	`pow1_binary64_2892`
4×	`associate-/l/_binary64_2778` `add-log-exp_binary64_2870` `cbrt-undiv_binary64_2865` `div-exp_binary64_2882`
3×	`associate-r_binary64_2771` `associate-l_binary64_2772`
2×	`frac-2neg_binary64_2842` `clear-num_binary64_2830` `associate-*r/_binary64_2773`
1×	`rem-sqrt-square_binary64_2844` `pow-prod-down_binary64_2902` `pow1/2_binary64_2911` `cbrt-unprod_binary64_2864` `*-commutative_binary64_2762` `unswap-sqr_binary64_2799` `prod-exp_binary64_2880` `sqrt-pow1_binary64_2849` `distribute-lft-in_binary64_2780` `distribute-rgt-in_binary64_2781`

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

series231.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
72.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
42.0ms	(/.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)))))
30.0ms	(sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

simplify177.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5189	13608

prune810.0ms (31.8%)

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)

regimes20.0ms (0.8%)

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

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	25
1	70	25

end0.0ms (0%)

sample520.0ms (20.4%)

Algorithm

1×

intervals

Results

331.0ms

8000×

body

128

valid

Compiler

Compiled 77 to 65 computations (15.6% saved)

Details

analyze4.0ms (0.2%)

sample16.0ms (0.6%)

simplify199.0ms (7.8%)

prune3.0ms (0.1%)

localize11.0ms (0.4%)

rewrite26.0ms (1%)

series210.0ms (8.3%)

simplify66.0ms (2.6%)

prune155.0ms (6.1%)

localize13.0ms (0.5%)

rewrite80.0ms (3.1%)

series231.0ms (9.1%)

simplify177.0ms (6.9%)

prune810.0ms (31.8%)

regimes20.0ms (0.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample520.0ms (20.4%)

Profiling