Details

analyze242.0ms (5.8%)

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)

sample23.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 39 to 34 computations (12.8% saved)

simplify99.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (94.0ms)

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 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
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)))
17.0b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite217.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-sqr-sqrt_binary64_2487`
20×	`*-un-lft-identity_binary64_2465`
18×	`add-cube-cbrt_binary64_2500`
10×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `times-frac_binary64_2471`
9×	`associate-r_binary64_2405`
8×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504` `associate-l_binary64_2406` `cancel-sign-sub-inv_binary64_2431`
5×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
4×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-*r/_binary64_2407`
3×	`associate-/l_binary64_2410` `associate-/r_binary64_2409`
2×	`associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396` `sub-neg_binary64_2458` `difference-of-squares_binary64_2434`
1×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `flip3--_binary64_2469` `flip--_binary64_2440` `distribute-lft-out--_binary64_2417` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 95

Calls

4 calls:

14.0ms	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
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 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

Compiler

Compiled 2846 to 2274 computations (20.1% saved)

series312.0ms (7.5%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

86.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
82.0ms	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
69.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
48.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

Compiler

Compiled 985 to 840 computations (14.7% saved)

simplify79.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5061	2748

prune171.0ms (4.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	2	130

Error

Counts

130 → 2

Compiler

Compiled 2468 to 1969 computations (20.2% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.1b	(.f64 6369080665019903/9007199254740992 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))))
17.0b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite231.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64_2487`
22×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
19×	`times-frac_binary64_2471`
18×	`associate-r_binary64_2405`
13×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504` `associate-l_binary64_2406`
5×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
4×	`associate-/r/_binary64_2411`
3×	`associate-/l_binary64_2410` `associate-/r_binary64_2409` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `associate-*r/_binary64_2407`
2×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `div-inv_binary64_2462` `associate-/l/_binary64_2412` `pow-prod-down_binary64_2536` `*-commutative_binary64_2396`
1×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 98

Calls

4 calls:

10.0ms	(.f64 6369080665019903/9007199254740992 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))))
6.0ms	(/.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 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

Compiler

Compiled 3203 to 2637 computations (17.7% saved)

series395.0ms (9.5%)

Error

Counts

4 → 32

Calls

4 calls:

120.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
86.0ms	(.f64 6369080665019903/9007199254740992 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))))
80.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
72.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

Compiler

Compiled 1154 to 994 computations (13.9% saved)

simplify157.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5032	2668

prune313.0ms (7.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	130	2	132

Error

Counts

132 → 2

Compiler

Compiled 2904 to 2366 computations (18.5% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x)
0.1b	(.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496))
0.2b	(*.f64 (pow.f64 x 3) 587893217913092678624467406457365636833467885051322882613974551606574556079145/463168356949264781694283940034751631413079938662562256157830336031652518559744)
9.3b	(-.f64 (.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)) (*.f64 (pow.f64 x 3) 587893217913092678624467406457365636833467885051322882613974551606574556079145/463168356949264781694283940034751631413079938662562256157830336031652518559744))

rewrite290.0ms (7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-sqr-sqrt_binary64_2487`
18×	`associate-l_binary64_2406`
16×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
13×	`add-exp-log_binary64_2503` `cancel-sign-sub-inv_binary64_2431`
10×	`add-cbrt-cube_binary64_2501`
9×	`associate-r_binary64_2405`
8×	`pow1_binary64_2526` `distribute-rgt-in_binary64_2415` `associate--l+_binary64_2402` `distribute-lft-in_binary64_2414`
6×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433`
5×	`sub-neg_binary64_2458` `prod-exp_binary64_2514`
4×	`unpow-prod-down_binary64_2544` `cube-prod_binary64_2493`
3×	`cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`
2×	`flip3--_binary64_2469` `flip--_binary64_2440` `sqr-pow_binary64_2437` `pow-prod-down_binary64_2536` `associate-*r/_binary64_2407`
1×	`diff-log_binary64_2557` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow3_binary64_2531` `cube-mult_binary64_2495`

Counts

4 → 97

Calls

4 calls:

17.0ms	(-.f64 (.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)) (*.f64 (pow.f64 x 3) 587893217913092678624467406457365636833467885051322882613974551606574556079145/463168356949264781694283940034751631413079938662562256157830336031652518559744))
14.0ms	(.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496))
11.0ms	(*.f64 (pow.f64 x 3) 587893217913092678624467406457365636833467885051322882613974551606574556079145/463168356949264781694283940034751631413079938662562256157830336031652518559744)
7.0ms	(*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x)

Compiler

Compiled 1958 to 1566 computations (20% saved)

series335.0ms (8.1%)

Error

Counts

4 → 17

Calls

4 calls:

110.0ms	(.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496))
94.0ms	(-.f64 (.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)) (*.f64 (pow.f64 x 3) 587893217913092678624467406457365636833467885051322882613974551606574556079145/463168356949264781694283940034751631413079938662562256157830336031652518559744))
76.0ms	(*.f64 (pow.f64 x 3) 587893217913092678624467406457365636833467885051322882613974551606574556079145/463168356949264781694283940034751631413079938662562256157830336031652518559744)
37.0ms	(*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x)

Compiler

Compiled 520 to 455 computations (12.5% saved)

simplify163.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5391	1306

prune168.0ms (4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	114	2	116

Error

Counts

116 → 2

Compiler

Compiled 1482 to 1181 computations (20.3% saved)

regimes266.0ms (6.4%)

Accuracy

Total 0.0b remaining (51.2%)

Threshold costs 0.0b (51.2%)

Compiler

Compiled 2145 to 1837 computations (14.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	31
1	47	31

end2.0ms (0%)

Compiler: Compiled 21 to 18 computations (14.3% saved)

sample632.0ms (15.2%)

Algorithm

1×

intervals

Results

356.0ms

8000×

body

128

valid

Compiler

Compiled 80 to 73 computations (8.8% saved)

Details

analyze242.0ms (5.8%)

sample23.0ms (0.6%)

simplify99.0ms (2.4%)

prune3.0ms (0.1%)

localize12.0ms (0.3%)

rewrite217.0ms (5.2%)

series312.0ms (7.5%)

simplify79.0ms (1.9%)

prune171.0ms (4.1%)

localize14.0ms (0.3%)

rewrite231.0ms (5.6%)

series395.0ms (9.5%)

simplify157.0ms (3.8%)

prune313.0ms (7.5%)

localize21.0ms (0.5%)

rewrite290.0ms (7%)

series335.0ms (8.1%)

simplify163.0ms (3.9%)

prune168.0ms (4%)

regimes266.0ms (6.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end2.0ms (0%)

sample632.0ms (15.2%)

Profiling