Details

analyze8.0ms (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)

sample28.0ms (0.6%)

Algorithm

1×

intervals

Results

18.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify417.0ms (9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (261.0ms)

Iter	Nodes	Cost
0	5080	25

prune12.0ms (0.3%)

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)

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

rewrite46.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2828`
14×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
9×	`times-frac_binary64_2812`
8×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845`
6×	`pow1_binary64_2867`
5×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
3×	`associate-l_binary64_2747` `associate-/r_binary64_2750` `associate-r_binary64_2746` `associate-/l_binary64_2751`
2×	`associate-/l/_binary64_2753` `sum-log_binary64_2897` `associate-/r/_binary64_2752` `associate-*l/_binary64_2749` `+-commutative_binary64_2736`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `*-commutative_binary64_2737` `cbrt-undiv_binary64_2840` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `clear-num_binary64_2805` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774` `frac-2neg_binary64_2817`

Counts

4 → 73

Calls

4 calls:

13.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
11.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
6.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
5.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

series164.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

62.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
37.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
33.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
32.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

simplify183.0ms (4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	5461	1653

prune420.0ms (9.1%)

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 2088 to 1646 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)))))

rewrite157.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

288×	`times-frac_binary64_2812`
166×	`add-sqr-sqrt_binary64_2828`
163×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
153×	`sqrt-prod_binary64_2822`
30×	`associate-/r*_binary64_2750`
20×	`sqrt-div_binary64_2823`
17×	`associate-/r/_binary64_2752`
13×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
12×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
9×	`div-inv_binary64_2803` `associate-/l*_binary64_2751`
7×	`pow1_binary64_2867`
4×	`associate-/l/_binary64_2753` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `add-log-exp_binary64_2845`
3×	`associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`clear-num_binary64_2805` `associate-*r/_binary64_2748` `frac-2neg_binary64_2817`
1×	`pow1/2_binary64_2886` `*-commutative_binary64_2737` `distribute-lft-in_binary64_2755` `sqrt-pow1_binary64_2824` `distribute-rgt-in_binary64_2756` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `rem-sqrt-square_binary64_2819` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774`

Counts

4 → 271

Calls

4 calls:

32.0ms	(/.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)))))
16.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
13.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
5.0ms	(sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

series209.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (sqrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
67.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
39.0ms	(/.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)))

simplify381.0ms (8.2%)

Algorithm

1×	egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4902	13440
1	4902	13440

prune1.4s (30.4%)

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)

regimes54.0ms (1.2%)

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

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	70	25
1	70	25

end0.0ms (0%)

sample1.1s (23.4%)

Algorithm

1×

intervals

Results

602.0ms

8000×

body

128

valid

Compiler

Compiled 132 to 111 computations (15.9% saved)

Details

analyze8.0ms (0.2%)

sample28.0ms (0.6%)

simplify417.0ms (9%)

prune12.0ms (0.3%)

localize22.0ms (0.5%)

rewrite46.0ms (1%)

series164.0ms (3.6%)

simplify183.0ms (4%)

prune420.0ms (9.1%)

localize26.0ms (0.6%)

rewrite157.0ms (3.4%)

series209.0ms (4.5%)

simplify381.0ms (8.2%)

prune1.4s (30.4%)

regimes54.0ms (1.2%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.1s (23.4%)

Profiling