Date:	Friday, August 7th, 2020
Commit:	ae72a3a6 on plugins
Hostname:	warfa with Racket 7.5
Seed:	2020220
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

sample1.7min (55.7%)

Algorithm

99×

intervals

Results

48.2s	8014×	body	5120	exit
21.6s	360031×	body	80	valid
7.5s	15771×	body	1280	valid
5.3s	11212×	body	1280	invalid
3.3s	12479×	body	640	valid
2.6s	8593×	body	640	invalid
1.4s	7509×	body	160	valid
1.4s	86815×	pre	80	true
1.2s	6726×	body	320	valid
936.0ms	18079×	body	80	invalid
860.0ms	4043×	body	320	invalid
400.0ms	1424×	body	2560	valid
282.0ms	1966×	body	160	invalid
211.0ms	2457×	body	80	nan
203.0ms	604×	body	5120	valid
80.0ms	47×	body	2560	invalid
1.0ms	15×	body	80	overflowed

prune22.1s (11.8%)

Filtered: 18023 candidates to 10550 candidates (41.5%)

series15.6s (8.3%)

Calls

478 calls:

1.0s	(-.f64 1 (.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (-.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 3)) -5125037576950889/18014398509481984) (/.f64 (-.f64 (/.f64 6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 6401478394306903/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.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)) (sqrt.f64 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (-.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 3)) -5125037576950889/18014398509481984) (/.f64 (-.f64 (/.f64 6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 6401478394306903/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.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))))
1.0s	(-.f64 1 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (-.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 3)) -5125037576950889/18014398509481984) (/.f64 (-.f64 (/.f64 6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 6401478394306903/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.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))
476.0ms	(.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (-.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 3)) -5125037576950889/18014398509481984) (/.f64 (-.f64 (/.f64 6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 6401478394306903/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.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)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (-.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 3)) -5125037576950889/18014398509481984) (/.f64 (-.f64 (/.f64 6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 6401478394306903/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.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))))))
471.0ms	(.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (-.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 3)) -5125037576950889/18014398509481984) (/.f64 (-.f64 (/.f64 6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 6401478394306903/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.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)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (-.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 3)) -5125037576950889/18014398509481984) (/.f64 (-.f64 (/.f64 6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 6401478394306903/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.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))))))
392.0ms	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))

simplify14.8s (7.9%)

Algorithm

262×	egg-herbie

analyze12.9s (6.9%)

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

rewrite7.4s (3.9%)

Algorithm

164×	rewrite-expression-head

Calls

478 calls:

146.0ms	(.f64 (/.f64 (.f64 (+.f64 1 alpha) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
114.0ms	(.f64 (.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))))
110.0ms	(.f64 (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (sqrt.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))))
107.0ms	(.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (-.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 3)) -5125037576950889/18014398509481984) (/.f64 (-.f64 (/.f64 6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 6401478394306903/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.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)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (-.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 3)) -5125037576950889/18014398509481984) (/.f64 (-.f64 (/.f64 6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 6401478394306903/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.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))))))
103.0ms	(.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (-.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 3)) -5125037576950889/18014398509481984) (/.f64 (-.f64 (/.f64 6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 6401478394306903/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.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)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (-.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 3)) -5125037576950889/18014398509481984) (/.f64 (-.f64 (/.f64 6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 6401478394306903/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.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))))))

Rules

10741×	`*-un-lft-identity_binary64`
9301×	`times-frac_binary64`
6879×	`add-sqr-sqrt_binary64`
5081×	`add-cube-cbrt_binary64`
4748×	`sqrt-prod_binary64`
2828×	`distribute-lft-out_binary64`
2641×	`associate-r_binary64`
2204×	`add-exp-log_binary64`
1935×	`add-cbrt-cube_binary64`
1590×	`pow1_binary64`
953×	`associate-l_binary64`
710×	`add-log-exp_binary64`
705×	`prod-exp_binary64`
696×	`cbrt-prod_binary64`
611×	`flip3-+_binary64` `flip-+_binary64`
579×	`cbrt-unprod_binary64`
533×	`difference-of-squares_binary64`
532×	`associate-/r*_binary64`
528×	`associate-/l*_binary64`
490×	`associate-/r/_binary64`
471×	`div-exp_binary64`
418×	`cbrt-div_binary64`
401×	`associate-*r/_binary64`
400×	`cbrt-undiv_binary64`
390×	`unpow-prod-down_binary64`
377×	`pow-prod-down_binary64`
375×	`distribute-lft-out--_binary64`
361×	`unswap-sqr_binary64`
327×	`div-inv_binary64`
323×	`sqrt-div_binary64`
320×	`log-pow_binary64`
289×	`frac-times_binary64`
247×	`flip3--_binary64` `flip--_binary64`
239×	`frac-add_binary64`
219×	`associate-*l/_binary64`
209×	`cube-prod_binary64`
181×	`sqr-pow_binary64`
158×	`sqrt-pow1_binary64`
156×	`swap-sqr_binary64`
150×	`*-commutative_binary64`
126×	`pow1/3_binary64`
125×	`associate-/l/_binary64`
118×	`pow1/2_binary64`
89×	`clear-num_binary64` `frac-2neg_binary64`
78×	`sum-log_binary64`
63×	`rem-sqrt-square_binary64`
61×	`pow-exp_binary64`
59×	`pow-prod-up_binary64`
53×	`diff-log_binary64` `unpow3_binary64` `cube-mult_binary64`
52×	`sub-neg_binary64`
48×	`pow-unpow_binary64`
46×	`pow-to-exp_binary64`
44×	`log-prod_binary64` `+-commutative_binary64`
43×	`difference-of-sqr-1_binary64`
39×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
37×	`unpow2_binary64` `pow-sqr_binary64`
36×	`1-exp_binary64`
33×	`rec-exp_binary64` `cube-div_binary64`
30×	`div-sub_binary64`
28×	`pow-plus_binary64` `pow-pow_binary64`
27×	`exp-prod_binary64`
23×	`log-div_binary64`
20×	`rem-cube-cbrt_binary64` `pow2_binary64`
12×	`pow-flip_binary64` `un-div-inv_binary64`
11×	`rem-log-exp_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
10×	`exp-sum_binary64` `rem-cbrt-cube_binary64` `associate-+r+_binary64`
9×	`associate-+l+_binary64`
8×	`associate--r+_binary64` `sin-sum_binary64` `associate--l+_binary64`
7×	`sqrt-unprod_binary64` `inv-pow_binary64`
6×	`exp-diff_binary64`
5×	`difference-cubes_binary64` `associate-+l-_binary64` `associate--l-_binary64` `associate-+r-_binary64`
3×	`sqrt-undiv_binary64` `neg-mul-1_binary64` `distribute-rgt-out_binary64` `pow-sub_binary64` `cos-sum_binary64`
2×	`pow-div_binary64` `pow3_binary64` `frac-sub_binary64` `rem-exp-log_binary64` `associate--r-_binary64` `rem-square-sqrt_binary64`
1×	`count-2_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-neg-out_binary64` `unpow1/3_binary64` `distribute-lft1-in_binary64`

regimes7.1s (3.8%)

Accuracy

Total 92.8b remaining (33.8%)

Threshold costs 4.3b (1.6%)

11.9b	39%	math.sqrt on complex, imaginary part, im greater than 0 branch
10.7b	56.6%	math.log/2 on complex, real part
10.5b	58.5%	math.log10 on complex, real part
10.3b	59.1%	math.log/1 on complex, real part
9.5b	55.5%	math.sqrt on complex, real part

Details

sample1.7min (55.7%)

prune22.1s (11.8%)

series15.6s (8.3%)

simplify14.8s (7.9%)

analyze12.9s (6.9%)

rewrite7.4s (3.9%)

regimes7.1s (3.8%)

localize2.2s (1.2%)

bsearch1.1s (0.6%)

end1.0ms (0.0%)

Profiling