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)

sample18.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify315.0ms (12.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (213.0ms)

Iter	Nodes	Cost
0	4595	25
1	4595	25

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 34 to 28 computations (17.6% saved)

localize11.0ms (0.5%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0b	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.0b	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
0.0b	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
14.3b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite34.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_2146`
17×	`*-un-lft-identity_binary64_2124`
15×	`add-cube-cbrt_binary64_2159`
10×	`times-frac_binary64_2130`
8×	`add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`pow1_binary64_2185`
4×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
3×	`cancel-sign-sub-inv_binary64_2090` `associate-/l_binary64_2069` `associate-/r_binary64_2068` `associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`difference-of-squares_binary64_2093` `associate-/r/_binary64_2070` `associate-*r/_binary64_2066` `associate-/l/_binary64_2071`
1×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `clear-num_binary64_2123` `flip3--_binary64_2128` `cbrt-undiv_binary64_2158` `unswap-sqr_binary64_2092` `sum-log_binary64_2215` `distribute-lft-out--_binary64_2076` `*-commutative_binary64_2055` `diff-log_binary64_2216` `prod-exp_binary64_2173` `+-commutative_binary64_2054` `distribute-rgt-in_binary64_2074` `sub-neg_binary64_2117` `div-inv_binary64_2121` `div-exp_binary64_2175` `distribute-lft-in_binary64_2073` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135`

Counts

4 → 81

Calls

8 calls:

11.0ms	(-.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 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0ms	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)

series182.0ms (7.4%)

Counts

4 → 34

Calls

4 calls:

53.0ms	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
50.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
47.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
31.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

Compiler

Compiled 622 to 532 computations (14.5% saved)

simplify98.0ms (4%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4870	2350
1	4870	2350

prune149.0ms (6.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	1	116

Error

Counts

116 → 1

Compiler

Compiled 2577 to 1990 computations (22.8% saved)

localize15.0ms (0.6%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0b	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.0b	(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)) x)
0.1b	(.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)
14.3b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
19.6b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3))

rewrite47.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64_2146`
45×	`times-frac_binary64_2130`
44×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
36×	`cbrt-prod_binary64_2155`
30×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
11×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`associate-/r/_binary64_2070`
7×	`pow1_binary64_2185` `flip3-+_binary64_2127` `flip-+_binary64_2098`
5×	`div-inv_binary64_2121`
4×	`add-log-exp_binary64_2163`
3×	`pow-unpow_binary64_2201` `associate-/l_binary64_2069` `associate-/r_binary64_2068` `associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`unpow3_binary64_2190` `cbrt-undiv_binary64_2158` `cube-mult_binary64_2154` `pow-exp_binary64_2192` `sqr-pow_binary64_2096` `associate-*r/_binary64_2066` `cube-div_binary64_2153` `associate-/l/_binary64_2071` `div-exp_binary64_2175` `rem-cube-cbrt_binary64_2147`
1×	`cbrt-div_binary64_2156` `pow-prod-down_binary64_2195` `clear-num_binary64_2123` `unswap-sqr_binary64_2092` `pow-pow_binary64_2196` `rem-cbrt-cube_binary64_2148` `*-commutative_binary64_2055` `pow1/3_binary64_2206` `prod-exp_binary64_2173` `distribute-rgt-in_binary64_2074` `pow-to-exp_binary64_2193` `distribute-lft-in_binary64_2073` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135`

Counts

4 → 149

Calls

8 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))
8.0ms	(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)))))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.0ms	(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)) x)

series201.0ms (8.1%)

Counts

4 → 39

Calls

4 calls:

56.0ms	(pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)
50.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3))
48.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
47.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

Compiler

Compiled 818 to 716 computations (12.5% saved)

simplify106.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4966	5386
1	4966	5386

prune320.0ms (13%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	188	1	189

Error

Counts

189 → 1

Compiler

Compiled 5102 to 4110 computations (19.4% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	99	119
1	99	119

regimes55.0ms (2.2%)

Compiler: Compiled 261 to 236 computations (9.6% saved)

bsearch0.0ms (0%)

regimes37.0ms (1.5%)

Compiler: Compiled 166 to 152 computations (8.4% saved)

bsearch0.0ms (0%)

regimes18.0ms (0.7%)

Compiler: Compiled 50 to 49 computations (2% saved)

bsearch0.0ms (0%)

regimes15.0ms (0.6%)

Compiler: Compiled 37 to 38 computations (-2.7% saved)

bsearch0.0ms (0%)

regimes24.0ms (1%)

Compiler: Compiled 8 to 12 computations (-50% saved)

bsearch37.0ms (1.5%)

Steps

Iters	Range		Point
11	2.039054178612998e-24	302.52702270046814	1.17885225853273
10	-97387827.55605116	-5.458083995085865e-08	-1.0784931178144082

Compiler

Compiled 1 to 1 computations (0% saved)

regimes8.0ms (0.3%)

Compiler: Compiled 6 to 10 computations (-66.7% saved)

bsearch0.0ms (0%)

regimes10.0ms (0.4%)

Accuracy

Total 0.0b remaining (74.8%)

Threshold costs 0.0b (74.8%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch5.0ms (0.2%)

Compiler: Compiled 68 to 58 computations (14.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	98
1	58	98

end0.0ms (0%)

sample740.0ms (30.1%)

Algorithm

1×

intervals

Results

346.0ms

8000×

body

128

valid

Compiler

Compiled 170 to 153 computations (10% saved)

Pareto

0.9883862117534392

Details

analyze5.0ms (0.2%)

sample18.0ms (0.8%)

simplify315.0ms (12.8%)

prune3.0ms (0.1%)

localize11.0ms (0.5%)

rewrite34.0ms (1.4%)

series182.0ms (7.4%)

simplify98.0ms (4%)

prune149.0ms (6.1%)

localize15.0ms (0.6%)

rewrite47.0ms (1.9%)

series201.0ms (8.1%)

simplify106.0ms (4.3%)

prune320.0ms (13%)

simplify5.0ms (0.2%)

regimes55.0ms (2.2%)

bsearch0.0ms (0%)

regimes37.0ms (1.5%)

bsearch0.0ms (0%)

regimes18.0ms (0.7%)

bsearch0.0ms (0%)

regimes15.0ms (0.6%)

bsearch0.0ms (0%)

regimes24.0ms (1%)

bsearch37.0ms (1.5%)

regimes8.0ms (0.3%)

bsearch0.0ms (0%)

regimes10.0ms (0.4%)

bsearch5.0ms (0.2%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample740.0ms (30.1%)

Profiling