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 (0.7%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify238.0ms (10.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	5080	25

prune2.0ms (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)

localize12.0ms (0.5%)

Local error

Found 8 expressions with local error:

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

rewrite36.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_782`
23×	`*-un-lft-identity_binary64_760`
21×	`add-cube-cbrt_binary64_795`
19×	`times-frac_binary64_766`
15×	`cancel-sign-sub-inv_binary64_726`
8×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
6×	`pow1_binary64_821`
5×	`flip3-+_binary64_763` `flip-+_binary64_734`
4×	`associate-/r/_binary64_706`
3×	`associate-/r_binary64_704` `associate-/l_binary64_705` `associate-r_binary64_700` `associate-l_binary64_701`
2×	`associate-*l/_binary64_703` `associate-/l/_binary64_707` `div-inv_binary64_757` `difference-of-squares_binary64_729`
1×	`diff-log_binary64_852` `unswap-sqr_binary64_728` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `prod-exp_binary64_809` `distribute-lft-out--_binary64_712` `+-commutative_binary64_690` `sum-log_binary64_851` `cbrt-unprod_binary64_793` `div-exp_binary64_811` `clear-num_binary64_759` `sub-neg_binary64_753` `pow-prod-down_binary64_831` `*-commutative_binary64_691` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 91

Calls

8 calls:

11.0ms	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
7.0ms	(/.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))
0.0ms	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))

series181.0ms (7.6%)

Counts

4 → 34

Calls

4 calls:

53.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
51.0ms	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
50.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
27.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

Compiler

Compiled 618 to 528 computations (14.6% saved)

simplify84.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5178	2724

prune157.0ms (6.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	1	126

Error

Counts

126 → 1

Compiler

Compiled 2777 to 2148 computations (22.7% saved)

localize15.0ms (0.7%)

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

rewrite55.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64_782`
45×	`times-frac_binary64_766`
44×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
36×	`cbrt-prod_binary64_791`
30×	`cube-prod_binary64_788` `unpow-prod-down_binary64_839`
11×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
10×	`associate-/r/_binary64_706`
7×	`flip3-+_binary64_763` `flip-+_binary64_734` `pow1_binary64_821`
5×	`div-inv_binary64_757`
4×	`add-log-exp_binary64_799`
3×	`associate-/r_binary64_704` `associate-/l_binary64_705` `associate-r_binary64_700` `associate-l_binary64_701` `pow-unpow_binary64_837`
2×	`cube-mult_binary64_790` `cbrt-undiv_binary64_794` `associate-/l/_binary64_707` `unpow3_binary64_826` `pow-exp_binary64_828` `rem-cube-cbrt_binary64_783` `cube-div_binary64_789` `associate-*r/_binary64_702` `sqr-pow_binary64_732` `div-exp_binary64_811`
1×	`pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `unswap-sqr_binary64_728` `frac-2neg_binary64_771` `prod-exp_binary64_809` `distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `pow-to-exp_binary64_829` `cbrt-div_binary64_792` `cbrt-unprod_binary64_793` `clear-num_binary64_759` `pow-prod-down_binary64_831` `*-commutative_binary64_691` `pow-pow_binary64_832`

Counts

4 → 149

Calls

8 calls:

10.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
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)
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.0ms	(-.f64 x (cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)))

series200.0ms (8.5%)

Counts

4 → 39

Calls

4 calls:

52.0ms	(pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)
52.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
51.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
46.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3))

Compiler

Compiled 818 to 716 computations (12.5% saved)

simplify100.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4966	5386
1	4966	5386

prune297.0ms (12.5%)

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)

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	411	117
1	411	117

regimes22.0ms (0.9%)

Compiler: Compiled 86 to 79 computations (8.1% saved)

bsearch0.0ms (0%)

regimes18.0ms (0.8%)

Compiler: Compiled 66 to 62 computations (6.1% saved)

bsearch0.0ms (0%)

regimes18.0ms (0.8%)

Compiler: Compiled 49 to 48 computations (2% saved)

bsearch0.0ms (0%)

regimes15.0ms (0.6%)

Compiler: Compiled 36 to 37 computations (-2.8% saved)

bsearch0.0ms (0%)

regimes24.0ms (1%)

Compiler: Compiled 7 to 11 computations (-57.1% saved)

bsearch34.0ms (1.4%)

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)

regimes23.0ms (1%)

Compiler: Compiled 6 to 9 computations (-50% saved)

bsearch34.0ms (1.4%)

Steps

Iters	Range		Point
11	2.039054178612998e-24	302.52702270046814	1.17885225853273
10	-97387827.55605116	-5.458083995085865e-08	-2.8263877807862956

Compiler

Compiled 1 to 1 computations (0% saved)

regimes8.0ms (0.3%)

Compiler: Compiled 5 to 8 computations (-60% saved)

bsearch0.0ms (0%)

regimes10.0ms (0.4%)

Accuracy

Total 0.0b remaining (74.8%)

Threshold costs 0.0b (74.8%)

Compiler

Compiled 4 to 6 computations (-50% saved)

bsearch6.0ms (0.3%)

Compiler: Compiled 78 to 67 computations (14.1% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	104	111
1	104	111

end0.0ms (0%)

sample742.0ms (31.3%)

Algorithm

1×

intervals

Results

308.0ms

8000×

body

128

valid

Compiler

Compiled 180 to 160 computations (11.1% saved)

Pareto

0.984773289379265

Details

analyze5.0ms (0.2%)

sample16.0ms (0.7%)

simplify238.0ms (10.1%)

prune2.0ms (0.1%)

localize12.0ms (0.5%)

rewrite36.0ms (1.5%)

series181.0ms (7.6%)

simplify84.0ms (3.5%)

prune157.0ms (6.6%)

localize15.0ms (0.7%)

rewrite55.0ms (2.3%)

series200.0ms (8.5%)

simplify100.0ms (4.2%)

prune297.0ms (12.5%)

simplify12.0ms (0.5%)

regimes22.0ms (0.9%)

bsearch0.0ms (0%)

regimes18.0ms (0.8%)

bsearch0.0ms (0%)

regimes18.0ms (0.8%)

bsearch0.0ms (0%)

regimes15.0ms (0.6%)

bsearch0.0ms (0%)

regimes24.0ms (1%)

bsearch34.0ms (1.4%)

regimes23.0ms (1%)

bsearch34.0ms (1.4%)

regimes8.0ms (0.3%)

bsearch0.0ms (0%)

regimes10.0ms (0.4%)

bsearch6.0ms (0.3%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample742.0ms (31.3%)

Profiling