Date:	Thursday, August 6th, 2020
Commit:	83ea4c9e on refactor-reprify
Hostname:	warfa with Racket 7.5
Seed:	2020219
Parameters:	256 points for 4 iterations
Flags:	`setup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback` default

Details

sample1.8min (50.1%)

Algorithm

99×

intervals

Results

50.8s	8214×	body	5120	exit
22.1s	360543×	body	80	valid
7.6s	15838×	body	1280	valid
5.3s	10867×	body	1280	invalid
3.3s	12187×	body	640	valid
2.6s	8240×	body	640	invalid
1.5s	87217×	pre	80	true
1.4s	7468×	body	160	valid
1.1s	6534×	body	320	valid
945.0ms	17708×	body	80	invalid
864.0ms	3974×	body	320	invalid
425.0ms	1435×	body	2560	valid
272.0ms	1924×	body	160	invalid
197.0ms	544×	body	5120	valid
196.0ms	2258×	body	80	nan
63.0ms	36×	body	2560	invalid
1.0ms	15×	body	80	overflowed

series30.5s (14.2%)

Calls

462 calls:

5.3s	(-.f64 1 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -134614289093012053517560818115717707326305445369/5846006549323611672814739330865132078623730171904 (pow.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 3)) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 26266010165158639488114317890321/324518553658426726783156020576256 (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 5125037576950889/18014398509481984) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))))
4.2s	(-.f64 1 (sqrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -134614289093012053517560818115717707326305445369/5846006549323611672814739330865132078623730171904 (pow.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 3)) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 26266010165158639488114317890321/324518553658426726783156020576256 (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 5125037576950889/18014398509481984) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (pow.f64 (fabs.f64 x) 2))))))
3.3s	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (pow.f64 -5125037576950889/18014398509481984 3) (pow.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 3)) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 26266010165158639488114317890321/324518553658426726783156020576256 (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 5125037576950889/18014398509481984) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
2.9s	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (pow.f64 -5125037576950889/18014398509481984 3) (pow.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 3)) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 26266010165158639488114317890321/324518553658426726783156020576256 (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 5125037576950889/18014398509481984) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))))))
2.9s	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -134614289093012053517560818115717707326305445369/5846006549323611672814739330865132078623730171904 (pow.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 3)) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 26266010165158639488114317890321/324518553658426726783156020576256 (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 5125037576950889/18014398509481984) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))))))

prune29.2s (13.6%)

Filtered: 14672 candidates to 9631 candidates (34.4%)

simplify14.0s (6.5%)

Algorithm

258×	egg-herbie

analyze13.9s (6.5%)

Algorithm

50×

Search

True	Other	False	Iter
0%	87.1%	12.9%	0
2.5%	84.6%	12.9%	1
9.3%	75.6%	15.1%	2
22.1%	62.3%	15.6%	3
27.1%	55.4%	17.4%	4
36.3%	45.6%	18.1%	5
39.7%	40.6%	19.7%	6
44.2%	33.4%	22.4%	7
47.6%	29.3%	23.1%	8
50.7%	25.2%	24.1%	9
53.2%	21.6%	25.2%	10
55.3%	18.7%	26%	11
57.2%	16.3%	26.5%	12
59.1%	13.6%	27.4%	13
60.1%	12.2%	27.7%	14

regimes10.7s (5.0%)

Accuracy

Total 95.0b remaining (34%)

Threshold costs 3.4b (1.2%)

11.0b	56.7%	math.log10 on complex, real part
10.7b	54.9%	math.abs on complex
10.6b	57.9%	math.log/1 on complex, real part
10.5b	57.3%	math.log/2 on complex, real part
10.0b	47.6%	math.sqrt on complex, imaginary part, im greater than 0 branch

rewrite6.1s (2.8%)

Algorithm

160×	rewrite-expression-head

Calls

462 calls:

110.0ms	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)))
70.0ms	(*.f64 (/.f64 (pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x)) (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1/2 (pow.f64 (fabs.f64 x) 3))) (/.f64 3/4 (pow.f64 (fabs.f64 x) 5))) (/.f64 15/8 (pow.f64 (fabs.f64 x) 7))))
69.0ms	(*.f64 (/.f64 (exp.f64 (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1/2 (pow.f64 (fabs.f64 x) 3))) (/.f64 3/4 (pow.f64 (fabs.f64 x) 5))) (/.f64 15/8 (pow.f64 (fabs.f64 x) 7))))
61.0ms	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (pow.f64 -5125037576950889/18014398509481984 3) (pow.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 3)) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 26266010165158639488114317890321/324518553658426726783156020576256 (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 5125037576950889/18014398509481984) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
53.0ms	(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2)))

Rules

5447×	`*-un-lft-identity_binary64`
4806×	`times-frac_binary64`
4555×	`add-sqr-sqrt_binary64`
3266×	`add-cube-cbrt_binary64`
2191×	`add-exp-log_binary64`
1784×	`add-cbrt-cube_binary64`
1531×	`pow1_binary64`
1405×	`associate-r_binary64`
1275×	`sqrt-prod_binary64`
920×	`distribute-lft-out_binary64`
910×	`associate-l_binary64`
697×	`prod-exp_binary64`
684×	`flip3-+_binary64` `flip-+_binary64`
675×	`add-log-exp_binary64`
532×	`cbrt-unprod_binary64`
527×	`associate-*r/_binary64`
501×	`div-exp_binary64`
465×	`associate-/r*_binary64`
446×	`log-pow_binary64`
399×	`frac-times_binary64`
360×	`cbrt-undiv_binary64`
355×	`associate-/r/_binary64`
352×	`associate-/l*_binary64`
332×	`pow-prod-down_binary64`
327×	`cbrt-prod_binary64`
283×	`difference-of-squares_binary64`
275×	`div-inv_binary64`
272×	`cbrt-div_binary64`
267×	`unswap-sqr_binary64`
248×	`associate-*l/_binary64`
213×	`distribute-lft-out--_binary64`
211×	`swap-sqr_binary64`
204×	`frac-add_binary64`
199×	`flip3--_binary64` `flip--_binary64`
183×	`sqrt-div_binary64`
178×	`unpow-prod-down_binary64`
167×	`sqrt-pow1_binary64`
157×	`exp-prod_binary64`
143×	`*-commutative_binary64`
114×	`pow1/3_binary64`
112×	`log-prod_binary64`
111×	`associate-/l/_binary64`
105×	`pow1/2_binary64`
88×	`cube-prod_binary64`
82×	`clear-num_binary64` `frac-2neg_binary64`
75×	`sum-log_binary64`
59×	`rec-exp_binary64` `1-exp_binary64`
58×	`rem-sqrt-square_binary64`
56×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
55×	`+-commutative_binary64`
53×	`sqr-pow_binary64`
49×	`sub-neg_binary64`
48×	`difference-of-sqr-1_binary64`
45×	`pow-prod-up_binary64`
43×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
42×	`diff-log_binary64`
36×	`log-div_binary64`
35×	`pow-exp_binary64`
33×	`pow-sqr_binary64`
27×	`pow-plus_binary64`
26×	`pow-to-exp_binary64` `pow-pow_binary64`
25×	`div-sub_binary64`
24×	`pow-unpow_binary64`
23×	`cube-div_binary64`
22×	`exp-sum_binary64`
20×	`pow-flip_binary64`
19×	`unpow3_binary64` `cube-mult_binary64` `pow2_binary64`
16×	`rem-log-exp_binary64`
11×	`associate--l+_binary64`
10×	`neg-mul-1_binary64` `inv-pow_binary64`
9×	`associate-+l+_binary64` `associate-+r+_binary64` `un-div-inv_binary64`
8×	`associate--r+_binary64` `exp-diff_binary64` `rem-cube-cbrt_binary64`
7×	`sin-sum_binary64`
5×	`sqrt-unprod_binary64` `associate--l-_binary64` `rem-cbrt-cube_binary64`
4×	`associate-+l-_binary64` `rem-exp-log_binary64`
3×	`distribute-rgt-out_binary64` `pow-sub_binary64`
2×	`associate-+r-_binary64` `pow3_binary64` `cos-sum_binary64`
1×	`count-2_binary64` `distribute-rgt1-in_binary64` `sqrt-pow2_binary64` `unpow2_binary64` `sum-cubes_binary64` `distribute-lft1-in_binary64` `rem-square-sqrt_binary64`

Details

sample1.8min (50.1%)

series30.5s (14.2%)

prune29.2s (13.6%)

simplify14.0s (6.5%)

analyze13.9s (6.5%)

regimes10.7s (5.0%)

rewrite6.1s (2.8%)

localize2.2s (1.0%)

bsearch720.0ms (0.3%)

end1.0ms (0.0%)

Profiling