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 20 to 17 computations (15% saved)

sample16.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 39 to 34 computations (12.8% saved)

simplify288.0ms (11.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	1225	28
1	1225	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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 38 to 32 computations (15.8% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0b	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
15.0b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite47.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_2165`
20×	`*-un-lft-identity_binary64_2143`
18×	`add-cube-cbrt_binary64_2178`
10×	`add-exp-log_binary64_2181` `times-frac_binary64_2149` `add-cbrt-cube_binary64_2179`
9×	`associate-r_binary64_2083`
8×	`pow1_binary64_2204`
6×	`add-log-exp_binary64_2182` `associate-l_binary64_2084` `cancel-sign-sub-inv_binary64_2109`
5×	`distribute-rgt-in_binary64_2093` `distribute-lft-in_binary64_2092`
4×	`associate-*r/_binary64_2085` `flip3-+_binary64_2146` `flip-+_binary64_2117`
3×	`associate-/r_binary64_2087` `associate-/l_binary64_2088`
2×	`associate-/r/_binary64_2089` `sub-neg_binary64_2136` `cbrt-unprod_binary64_2176` `pow-prod-down_binary64_2214` `prod-exp_binary64_2192` `unswap-sqr_binary64_2111` `*-commutative_binary64_2074` `difference-of-squares_binary64_2112` `associate-/l/_binary64_2090`
1×	`cbrt-undiv_binary64_2177` `+-commutative_binary64_2073` `clear-num_binary64_2142` `flip--_binary64_2118` `distribute-lft-out--_binary64_2095` `div-inv_binary64_2140` `sum-log_binary64_2234` `flip3--_binary64_2147` `div-exp_binary64_2194` `frac-2neg_binary64_2154`

Counts

4 → 95

Calls

4 calls:

17.0ms	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
8.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
7.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
4.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

series218.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

77.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
58.0ms	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
44.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
39.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

simplify92.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4910	2543
1	4910	2543

prune193.0ms (7.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	3	108

Merged error: 0b

Counts

108 → 3

Compiler

Compiled 3383 to 2729 computations (19.3% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.1b	(pow.f64 (.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)) 3)
15.0b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
19.3b	(cbrt.f64 (pow.f64 (.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)) 3))

rewrite45.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_2165`
16×	`add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
11×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
9×	`pow1_binary64_2204` `times-frac_binary64_2149`
8×	`cbrt-prod_binary64_2174`
6×	`associate-*r/_binary64_2085`
4×	`add-log-exp_binary64_2182` `cube-div_binary64_2172`
3×	`associate-/r_binary64_2087` `pow-unpow_binary64_2220` `associate-/l_binary64_2088` `associate-r_binary64_2083` `associate-l_binary64_2084` `flip3-+_binary64_2146` `flip-+_binary64_2117`
2×	`flip--_binary64_2118` `associate-/r/_binary64_2089` `unpow-prod-down_binary64_2222` `cube-prod_binary64_2171` `cube-mult_binary64_2173` `cbrt-unprod_binary64_2176` `flip3--_binary64_2147` `pow-prod-down_binary64_2214` `prod-exp_binary64_2192` `pow-pow_binary64_2215` `unpow3_binary64_2209` `sqr-pow_binary64_2115` `cbrt-div_binary64_2175` `rem-cube-cbrt_binary64_2166` `pow-exp_binary64_2211` `associate-/l/_binary64_2090`
1×	`cbrt-undiv_binary64_2177` `clear-num_binary64_2142` `distribute-rgt-in_binary64_2093` `rem-cbrt-cube_binary64_2167` `pow-to-exp_binary64_2212` `div-inv_binary64_2140` `unswap-sqr_binary64_2111` `*-commutative_binary64_2074` `distribute-lft-in_binary64_2092` `div-exp_binary64_2194` `frac-2neg_binary64_2154` `pow1/3_binary64_2225`

Counts

4 → 96

Calls

4 calls:

15.0ms	(pow.f64 (.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)) 3)
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	(cbrt.f64 (pow.f64 (.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)) 3))

series246.0ms (9.8%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
68.0ms	(pow.f64 (.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)) 3)
67.0ms	(cbrt.f64 (pow.f64 (.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x)) 3))
37.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

simplify88.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4908	3093
1	4908	3093

prune321.0ms (12.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	108	3	111

Merged error: 0b

Counts

111 → 3

Compiler

Compiled 3424 to 2797 computations (18.3% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1034198505402457344669710228355/633825300114114700748351602688 (.f64 x (+.f64 (.f64 x 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032) -12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)))
0.0b	(+.f64 (*.f64 x 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032) -12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)
0.1b	(.f64 x (+.f64 (.f64 x 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032) -12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496))
0.2b	(*.f64 x 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032)

rewrite24.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_2165`
8×	`pow1_binary64_2204` `add-log-exp_binary64_2182` `add-exp-log_binary64_2181` `add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143` `add-cbrt-cube_binary64_2179`
6×	`associate-r_binary64_2083` `associate-l_binary64_2084`
3×	`flip3-+_binary64_2146` `flip-+_binary64_2117`
2×	`+-commutative_binary64_2073` `distribute-rgt-in_binary64_2093` `cbrt-unprod_binary64_2176` `sum-log_binary64_2234` `pow-prod-down_binary64_2214` `prod-exp_binary64_2192` `associate-+r+_binary64_2075` `associate-r/_binary64_2085` `unswap-sqr_binary64_2111` `-commutative_binary64_2074` `distribute-lft-in_binary64_2092`

Counts

4 → 64

Calls

4 calls:

7.0ms	(.f64 x (+.f64 (.f64 x 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032) -12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496))
5.0ms	(+.f64 (*.f64 x 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032) -12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)
4.0ms	(*.f64 x 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032)
4.0ms	(+.f64 1034198505402457344669710228355/633825300114114700748351602688 (.f64 x (+.f64 (.f64 x 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032) -12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)))

series166.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

80.0ms	(.f64 x (+.f64 (.f64 x 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032) -12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496))
43.0ms	(+.f64 (*.f64 x 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032) -12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)
22.0ms	(+.f64 1034198505402457344669710228355/633825300114114700748351602688 (.f64 x (+.f64 (.f64 x 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032) -12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)))
21.0ms	(*.f64 x 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032)

simplify78.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4927	864
1	4927	864

prune61.0ms (2.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Merged error: 0b

Counts

79 → 3

Compiler

Compiled 1026 to 811 computations (21% saved)

regimes37.0ms (1.5%)

Compiler: Compiled 224 to 191 computations (14.7% 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%)

sample544.0ms (21.7%)

Algorithm

1×

intervals

Results

345.0ms

8000×

body

128

valid

Compiler

Compiled 89 to 77 computations (13.5% saved)

Details

analyze5.0ms (0.2%)

sample16.0ms (0.7%)

simplify288.0ms (11.5%)

prune3.0ms (0.1%)

localize12.0ms (0.5%)

rewrite47.0ms (1.9%)

series218.0ms (8.7%)

simplify92.0ms (3.7%)

prune193.0ms (7.7%)

localize16.0ms (0.6%)

rewrite45.0ms (1.8%)

series246.0ms (9.8%)

simplify88.0ms (3.5%)

prune321.0ms (12.8%)

localize6.0ms (0.2%)

rewrite24.0ms (0.9%)

series166.0ms (6.6%)

simplify78.0ms (3.1%)

prune61.0ms (2.4%)

regimes37.0ms (1.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample544.0ms (21.7%)

Profiling