Details

analyze199.0ms (5.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4600	28
1	4600	28
0	1	1
1	1	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 20 to 17 computations (15% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 39 to 34 computations (12.8% saved)

simplify106.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4600	28
1	4600	28

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 38 to 32 computations (15.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))
0.0b	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
13.2b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite138.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_2828`
14×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
9×	`times-frac_binary64_2812`
8×	`add-exp-log_binary64_2844` `add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842`
6×	`pow1_binary64_2867`
5×	`flip3-+_binary64_2809` `flip-+_binary64_2780`
3×	`associate-/l_binary64_2751` `associate-/r_binary64_2750` `associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `associate-*r/_binary64_2748` `sum-log_binary64_2897` `+-commutative_binary64_2736` `associate-+r+_binary64_2738`
1×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737`

Counts

4 → 77

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

Compiler

Compiled 2305 to 1860 computations (19.3% saved)

series195.0ms (5.5%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

68.0ms	(+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))
50.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
28.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
25.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

Compiler

Compiled 1095 to 914 computations (16.5% saved)

simplify88.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5027	1866

prune138.0ms (3.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	2	105

Error

Counts

105 → 2

Compiler

Compiled 2580 to 2061 computations (20.1% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))
0.8b	(.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
4.2b	(/.f64 (+.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))) 1) (cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
9.4b	(/.f64 (.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)))) (/.f64 (+.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))) 1) (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)))))

rewrite686.0ms (19.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

78×	`times-frac_binary64_2812`
62×	`add-sqr-sqrt_binary64_2828`
54×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
49×	`cbrt-prod_binary64_2837`
32×	`cbrt-div_binary64_2838`
30×	`associate-/r*_binary64_2750`
20×	`add-exp-log_binary64_2844`
17×	`flip3-+_binary64_2809` `flip-+_binary64_2780`
11×	`pow1_binary64_2867` `add-cbrt-cube_binary64_2842`
10×	`associate-/l/_binary64_2753`
8×	`frac-times_binary64_2816`
7×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `associate-/r/_binary64_2752` `pow1/3_binary64_2888`
6×	`swap-sqr_binary64_2773` `associate-l_binary64_2747` `associate-r_binary64_2746`
4×	`add-log-exp_binary64_2845` `div-inv_binary64_2803` `associate-l/_binary64_2749` `associate-r/_binary64_2748` `associate-/l*_binary64_2751` `unswap-sqr_binary64_2774`
3×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
2×	`frac-2neg_binary64_2817` `clear-num_binary64_2805` `pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `*-commutative_binary64_2737`

Counts

4 → 180

Calls

4 calls:

20.0ms	(/.f64 (.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)))) (/.f64 (+.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))) 1) (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)))))
11.0ms	(/.f64 (+.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))) 1) (cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
10.0ms	(.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
2.0ms	(cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

Compiler

Compiled 9054 to 7577 computations (16.3% saved)

series287.0ms (8.1%)

Error

Counts

4 → 29

Calls

4 calls:

89.0ms	(.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
66.0ms	(/.f64 (+.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))) 1) (cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
45.0ms	(cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))
30.0ms	(/.f64 (.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)))) (/.f64 (+.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))) 1) (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)))))

Compiler

Compiled 2412 to 2097 computations (13.1% saved)

simplify132.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4940	6958
1	4940	6958

prune662.0ms (18.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	209	2	211

Error

Counts

211 → 2

Compiler

Compiled 8714 to 7260 computations (16.7% saved)

regimes86.0ms (2.4%)

Accuracy

Total 0.0b remaining (25.7%)

Threshold costs 0.0b (25.7%)

Compiler

Compiled 908 to 779 computations (14.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	28
1	34	28

end0.0ms (0%)

sample787.0ms (22.1%)

Algorithm

1×

intervals

Results

331.0ms

8000×

body

128

valid

Compiler

Compiled 317 to 273 computations (13.9% saved)

Details

analyze199.0ms (5.6%)

sample17.0ms (0.5%)

simplify106.0ms (3%)

prune3.0ms (0.1%)

localize12.0ms (0.3%)

rewrite138.0ms (3.9%)

series195.0ms (5.5%)

simplify88.0ms (2.5%)

prune138.0ms (3.9%)

localize20.0ms (0.5%)

rewrite686.0ms (19.3%)

series287.0ms (8.1%)

simplify132.0ms (3.7%)

prune662.0ms (18.6%)

regimes86.0ms (2.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample787.0ms (22.1%)

Profiling