Details

analyze5.0ms (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)

simplify192.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

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)

localize10.0ms (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))
0.0b	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
15.3b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))

rewrite27.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2120`
14×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
9×	`times-frac_binary64_2105`
8×	`add-cbrt-cube_binary64_2132` `add-log-exp_binary64_2135` `add-exp-log_binary64_2134`
6×	`pow1_binary64_2157`
5×	`flip3-+_binary64_2102` `flip-+_binary64_2073`
3×	`associate-l_binary64_2042` `associate-/r_binary64_2045` `associate-r_binary64_2041` `associate-/l_binary64_2046`
2×	`associate-/l/_binary64_2048` `associate-*l/_binary64_2044` `sum-log_binary64_2187` `associate-/r/_binary64_2047` `+-commutative_binary64_2031`
1×	`cbrt-undiv_binary64_2130` `*-commutative_binary64_2032` `div-exp_binary64_2147` `frac-2neg_binary64_2110` `prod-exp_binary64_2145` `pow-prod-down_binary64_2167` `unswap-sqr_binary64_2067` `clear-num_binary64_2098` `div-inv_binary64_2096` `cbrt-unprod_binary64_2129`

Counts

4 → 73

Calls

4 calls:

8.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
7.0ms	(.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 (7.8%)

Counts

4 → 12

Calls

4 calls:

82.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
45.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
42.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
40.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

simplify64.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5450	1653

prune124.0ms (4.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	2	86

Merged error: 0b

Counts

86 → 2

Compiler

Compiled 2102 to 1659 computations (21.1% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.1b	(/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
15.3b	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

rewrite43.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_2105`
60×	`add-sqr-sqrt_binary64_2120`
58×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
19×	`add-exp-log_binary64_2134`
18×	`associate-/r*_binary64_2045`
13×	`add-cbrt-cube_binary64_2132`
11×	`associate-/r/_binary64_2047`
8×	`flip3-+_binary64_2102` `div-exp_binary64_2147` `flip-+_binary64_2073`
7×	`pow1_binary64_2157`
6×	`add-log-exp_binary64_2135` `associate-/l*_binary64_2046` `div-inv_binary64_2096`
4×	`cbrt-undiv_binary64_2130`
3×	`associate-l_binary64_2042` `associate-r_binary64_2041`
2×	`associate-*r/_binary64_2043` `1-exp_binary64_2140` `rec-exp_binary64_2146` `associate-/l/_binary64_2048` `frac-2neg_binary64_2110` `clear-num_binary64_2098`
1×	`pow-flip_binary64_2170` `distribute-rgt-in_binary64_2051` `inv-pow_binary64_2181` `*-commutative_binary64_2032` `distribute-lft-in_binary64_2050` `sum-log_binary64_2187` `prod-exp_binary64_2145` `+-commutative_binary64_2031` `pow-prod-down_binary64_2167` `unswap-sqr_binary64_2067` `cbrt-unprod_binary64_2129`

Counts

4 → 148

Calls

4 calls:

10.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
8.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

series202.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
44.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
42.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
39.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

simplify99.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4908	4852
1	4908	4852

prune288.0ms (10.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	160	2	162

Merged error: 0b

Counts

162 → 2

Compiler

Compiled 4733 to 3831 computations (19.1% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.1b	(pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)
15.3b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
20.1b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3))

rewrite52.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64_2120`
45×	`times-frac_binary64_2105`
44×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
36×	`cbrt-prod_binary64_2127`
30×	`unpow-prod-down_binary64_2175` `cube-prod_binary64_2124`
11×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
10×	`associate-/r/_binary64_2047`
7×	`flip3-+_binary64_2102` `pow1_binary64_2157` `flip-+_binary64_2073`
5×	`div-inv_binary64_2096`
4×	`add-log-exp_binary64_2135`
3×	`associate-l_binary64_2042` `pow-unpow_binary64_2173` `associate-/r_binary64_2045` `associate-r_binary64_2041` `associate-/l_binary64_2046`
2×	`sqr-pow_binary64_2071` `cbrt-undiv_binary64_2130` `associate-*r/_binary64_2043` `pow-exp_binary64_2164` `div-exp_binary64_2147` `associate-/l/_binary64_2048` `rem-cube-cbrt_binary64_2121` `cube-div_binary64_2125` `unpow3_binary64_2162` `cube-mult_binary64_2126`
1×	`cbrt-div_binary64_2128` `pow1/3_binary64_2178` `distribute-rgt-in_binary64_2051` `*-commutative_binary64_2032` `distribute-lft-in_binary64_2050` `pow-pow_binary64_2168` `pow-to-exp_binary64_2165` `frac-2neg_binary64_2110` `prod-exp_binary64_2145` `pow-prod-down_binary64_2167` `unswap-sqr_binary64_2067` `clear-num_binary64_2098` `rem-cbrt-cube_binary64_2122` `cbrt-unprod_binary64_2129`

Counts

4 → 149

Calls

4 calls:

9.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3))
9.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
9.0ms	(pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)
7.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

series208.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

81.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
45.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
43.0ms	(pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)
38.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3))

simplify90.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5705	5038

prune282.0ms (10.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	161	2	163

Merged error: 0b

Counts

163 → 2

Compiler

Compiled 4742 to 3846 computations (18.9% saved)

regimes53.0ms (2%)

Compiler: Compiled 484 to 404 computations (16.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	28
1	43	28

end0.0ms (0%)

sample697.0ms (25.9%)

Algorithm

1×

intervals

Results

326.0ms

8000×

body

128

valid

Compiler

Compiled 261 to 219 computations (16.1% saved)

Details

analyze5.0ms (0.2%)

sample16.0ms (0.6%)

simplify192.0ms (7.1%)

prune3.0ms (0.1%)

localize10.0ms (0.4%)

rewrite27.0ms (1%)

series210.0ms (7.8%)

simplify64.0ms (2.4%)

prune124.0ms (4.6%)

localize11.0ms (0.4%)

rewrite43.0ms (1.6%)

series202.0ms (7.5%)

simplify99.0ms (3.7%)

prune288.0ms (10.7%)

localize14.0ms (0.5%)

rewrite52.0ms (1.9%)

series208.0ms (7.7%)

simplify90.0ms (3.3%)

prune282.0ms (10.5%)

regimes53.0ms (2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample697.0ms (25.9%)

Profiling