Details

analyze293.0ms (7.5%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5080	25
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	2
50%	50%	0%	3
50%	50%	0%	3
75%	25%	0%	4
75%	25%	0%	4
87.5%	12.5%	0%	5
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	13
99.9%	0%	0%	14
99.9%	0%	0%	14

Compiler

Compiled 36 to 30 computations (16.7% saved)

sample160.0ms (4.1%)

Algorithm

2×

intervals

Results

24.0ms

512×

body

128

valid

Compiler

Compiled 4661 to 4142 computations (11.1% saved)

simplify134.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	5080	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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0b	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.1b	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
14.4b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))

rewrite145.0ms (3.7%)

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` `associate-*l/_binary64_2749` `sum-log_binary64_2897` `+-commutative_binary64_2736`
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 → 73

Calls

4 calls:

6.0ms	(/.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))

Compiler

Compiled 2035 to 1620 computations (20.4% saved)

series265.0ms (6.8%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

75.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
65.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
48.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
45.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

Compiler

Compiled 1115 to 909 computations (18.5% saved)

simplify78.0ms (2%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4855	1815
1	4855	1815

prune151.0ms (3.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	2	104

Error

Counts

104 → 2

Compiler

Compiled 2345 to 1829 computations (22% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

4.8b	(/.f64 (sqrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (.f64 (cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) (cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))))
14.7b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
14.7b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
14.7b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

rewrite346.0ms (8.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-div_binary64_2838`
11×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
10×	`flip3-+_binary64_2809` `flip-+_binary64_2780`
9×	`add-exp-log_binary64_2844` `cbrt-prod_binary64_2837`
8×	`associate-/r/_binary64_2752`
7×	`add-cbrt-cube_binary64_2842`
6×	`times-frac_binary64_2812` `sqrt-prod_binary64_2822` `associate-/l*_binary64_2751`
4×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `frac-times_binary64_2816`
3×	`pow1/3_binary64_2888`
2×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `sqrt-div_binary64_2823` `associate-/l/_binary64_2753` `associate-l/_binary64_2749` `associate-r/_binary64_2748`
1×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `associate-/r*_binary64_2750`

Counts

4 → 76

Calls

4 calls:

15.0ms	(/.f64 (sqrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (.f64 (cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) (cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))))
3.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
3.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
3.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

Compiler

Compiled 4874 to 3999 computations (18% saved)

series581.0ms (14.9%)

Error

Counts

4 → 33

Calls

4 calls:

147.0ms	(/.f64 (sqrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (.f64 (cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) (cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))))
113.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
111.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
105.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

Compiler

Compiled 4201 to 3587 computations (14.6% saved)

simplify113.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4834	3144
1	4834	3144

prune406.0ms (10.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	2	111

Error

Counts

111 → 2

Compiler

Compiled 5983 to 4877 computations (18.5% saved)

regimes116.0ms (3%)

Accuracy

Total 0.1b remaining (96.9%)

Threshold costs 0.1b (96.9%)

Compiler

Compiled 1210 to 1010 computations (16.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	125	47
1	125	47

end0.0ms (0%)

sample1.1s (27.5%)

Algorithm

1×

intervals

Results

319.0ms

8000×

body

128

valid

Compiler

Compiled 636 to 532 computations (16.4% saved)

Details

analyze293.0ms (7.5%)

sample160.0ms (4.1%)

simplify134.0ms (3.4%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

rewrite145.0ms (3.7%)

series265.0ms (6.8%)

simplify78.0ms (2%)

prune151.0ms (3.9%)

localize17.0ms (0.4%)

rewrite346.0ms (8.9%)

series581.0ms (14.9%)

simplify113.0ms (2.9%)

prune406.0ms (10.4%)

regimes116.0ms (3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (27.5%)

Profiling