Date:Thursday, July 23rd, 2020
Commit:c653a889 on reprify
Hostname:warfa with Racket 7.5
Seed:2020205
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

sample1.9min (44.6%)

Algorithm
78×intervals
Results
44.2s43731×body1280valid
16.9s2416×body5120exit
14.1s29893×body640valid
8.1s174465×body80valid
6.0s27675×body320valid
4.1s35809×body160valid
3.2s1270×body1280overflowed
2.8s114201×pre80true
2.1s11377×body80overflowed
1.6s1174×body640overflowed
1000.0ms3137×body2560valid
578.0ms3153×body2560nan
502.0ms9579×body80nan
442.0ms575×body320overflowed
403.0ms2640×body1280nan
325.0ms5329×body80invalid
213.0ms462×body640invalid
207.0ms311×body1280invalid
152.0ms1266×body640nan
140.0ms324×body160overflowed
78.0ms220×body5120valid
70.0ms221×body320invalid
64.0ms689×body320nan
26.0ms120×body160invalid
20.0ms314×body160nan
2.0ms130×pre80false

prune1.2min (26.8%)

Filtered
19212 candidates to 12306 candidates (35.9%)

analyze30.2s (11.7%)

Algorithm
39×search
Search
TrueOtherFalseIter
0%71.2%28.8%0
2.6%68.7%28.8%1
6.7%64.5%28.8%2
15.3%53.4%31.4%3
21.5%44.1%34.4%4
26.5%37.3%36.2%5
28.4%33.3%38.3%6
30.1%30.3%39.5%7
31%28.8%40.3%8
33%25.9%41.1%9
33.4%24.9%41.6%10
34.2%23.8%42%11
35%22.5%42.5%12
36%21.3%42.7%13
36.3%20.8%43%14

simplify15.4s (5.9%)

Algorithm
224×egg-herbie

regimes11.7s (4.5%)

Accuracy

Total 33.4b remaining (22.4%)

Threshold costs 6.1b (4.1%)

7.5b46.3%Cubic critical, narrow range
6.0b14.1%Cubic critical, medium range
4.1b70.6%Equirectangular approximation to distance on a great circle
3.3b70.2%Quotient of products
3.2b0%Cubic critical, wide range

series9.2s (3.5%)

Calls

486 calls:

251.0ms
(cbrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2.0))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2.0)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
248.0ms
(cbrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2.0))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2.0)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
224.0ms
(/.f64 (*.f64 (pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t))))) c_n)))
190.0ms
(-.f64 (*.f64 (*.f64 (/.f64 2.0 (+.f64 (pow.f64 1.0 3) (pow.f64 (exp.f64 (*.f64 -2.0 x)) 3))) (/.f64 2.0 (+.f64 (pow.f64 1.0 3) (pow.f64 (exp.f64 (*.f64 -2.0 x)) 3)))) (*.f64 (+.f64 (*.f64 1.0 1.0) (*.f64 (exp.f64 (*.f64 -2.0 x)) (-.f64 (exp.f64 (*.f64 -2.0 x)) 1.0))) (+.f64 (*.f64 1.0 1.0) (*.f64 (exp.f64 (*.f64 -2.0 x)) (-.f64 (exp.f64 (*.f64 -2.0 x)) 1.0))))) (*.f64 1.0 1.0))
188.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2.0))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2.0)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite5.5s (2.1%)

Algorithm
146×rewrite-expression-head
Calls

486 calls:

112.0ms
(/.f64 (/.f64 (neg.f64 (*.f64 4.0 a)) 1) (/.f64 a (/.f64 (/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))) 2.0)))
75.0ms
(-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 1.0 x) 3.0)) x) (/.f64 3.0 (pow.f64 x 3)))
48.0ms
(-.f64 (*.f64 (*.f64 (/.f64 2.0 (+.f64 (pow.f64 1.0 3) (pow.f64 (exp.f64 (*.f64 -2.0 x)) 3))) (/.f64 2.0 (+.f64 (pow.f64 1.0 3) (pow.f64 (exp.f64 (*.f64 -2.0 x)) 3)))) (*.f64 (+.f64 (*.f64 1.0 1.0) (*.f64 (exp.f64 (*.f64 -2.0 x)) (-.f64 (exp.f64 (*.f64 -2.0 x)) 1.0))) (+.f64 (*.f64 1.0 1.0) (*.f64 (exp.f64 (*.f64 -2.0 x)) (-.f64 (exp.f64 (*.f64 -2.0 x)) 1.0))))) (*.f64 1.0 1.0))
48.0ms
(*.f64 (*.f64 (/.f64 2.0 (+.f64 (pow.f64 1.0 3) (pow.f64 (exp.f64 (*.f64 -2.0 x)) 3))) (/.f64 2.0 (+.f64 (pow.f64 1.0 3) (pow.f64 (exp.f64 (*.f64 -2.0 x)) 3)))) (*.f64 (+.f64 (*.f64 1.0 1.0) (*.f64 (exp.f64 (*.f64 -2.0 x)) (-.f64 (exp.f64 (*.f64 -2.0 x)) 1.0))) (+.f64 (*.f64 1.0 1.0) (*.f64 (exp.f64 (*.f64 -2.0 x)) (-.f64 (exp.f64 (*.f64 -2.0 x)) 1.0)))))
44.0ms
(/.f64 (*.f64 (pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t))))) c_n)))
Rules
23185×times-frac_binary64
12964×*-un-lft-identity_binary64
10995×add-sqr-sqrt_binary64
9762×add-cube-cbrt_binary64
2457×add-exp-log_binary64
1685×add-cbrt-cube_binary64
1218×distribute-lft-out_binary64
967×pow1_binary64
939×associate-/r*_binary64
779×div-inv_binary64
762×div-exp_binary64
740×add-log-exp_binary64
736×associate-*l/_binary64
722×flip--_binary64
721×flip3--_binary64
719×associate-/r/_binary64
715×prod-exp_binary64
678×sqrt-prod_binary64
638×distribute-rgt-neg-in_binary64
636×distribute-lft-neg-in_binary64
617×associate-*r*_binary64
614×neg-mul-1_binary64
586×associate-/l*_binary64
472×cbrt-prod_binary64
466×frac-times_binary64
439×flip-+_binary64
438×flip3-+_binary64
425×difference-of-squares_binary64
420×associate-*l*_binary64
403×cbrt-undiv_binary64
372×distribute-lft-out--_binary64 cbrt-unprod_binary64
327×frac-add_binary64
322×sqrt-div_binary64
313×associate-*r/_binary64
305×unpow-prod-down_binary64
293×pow-exp_binary64
278×log-prod_binary64
228×cube-prod_binary64
210×pow-to-exp_binary64
189×cbrt-div_binary64
168×pow-prod-down_binary64
147×unswap-sqr_binary64
142×swap-sqr_binary64
124×clear-num_binary64 frac-2neg_binary64
120×sub-neg_binary64
94×*-commutative_binary64
86×sqr-pow_binary64
82×diff-log_binary64
69×log-div_binary64
68×associate-/l/_binary64 log-pow_binary64
62×pow1/2_binary64 sqrt-pow1_binary64
57×cosh-undef_binary64
56×div-sub_binary64
55×sum-log_binary64
54×associate--l+_binary64
52×unpow3_binary64 cube-mult_binary64
42×pow-unpow_binary64
41×pow1/3_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
40×+-commutative_binary64
39×associate--r+_binary64 rem-sqrt-square_binary64
36×1-exp_binary64
35×rem-log-exp_binary64
34×associate-+r+_binary64
32×rec-exp_binary64
27×frac-sub_binary64
26×pow-prod-up_binary64
23×distribute-frac-neg_binary64
21×exp-prod_binary64
20×pow-sqr_binary64
17×pow-pow_binary64
16×pow-plus_binary64 sin-mult_binary64
15×sin-diff_binary64 cos-diff_binary64
14×neg-sub0_binary64 pow2_binary64
12×tan-quot_binary64
11×exp-sum_binary64 pow-flip_binary64 cube-div_binary64 inv-pow_binary64
10×associate--l-_binary64 associate--r-_binary64
acos-asin_binary64 sin-cos-mult_binary64
associate-+r-_binary64 rem-cube-cbrt_binary64 sinh-undef_binary64
sinh-def_binary64 rem-cbrt-cube_binary64 distribute-rgt-out_binary64
cos-mult_binary64 cos-sum_binary64
unpow2_binary64
acos-neg_binary64 cosh-def_binary64 associate-+l+_binary64 exp-diff_binary64
sqrt-unprod_binary64 exp-to-pow_binary64 rem-exp-log_binary64 sin-sum_binary64
associate-+l-_binary64 log-rec_binary64 distribute-neg-frac_binary64 sqr-cos-a_binary64 rem-square-sqrt_binary64 un-div-inv_binary64
difference-cubes_binary64 sqrt-pow2_binary64 tanh-def-a_binary64 tanh-undef_binary64 distribute-lft1-in_binary64 asin-acos_binary64 tanh-def-b_binary64 unsub-neg_binary64 tanh-def-c_binary64

localize2.0s (0.8%)

bsearch313.0ms (0.1%)

end1.0ms (0.0%)

Profiling

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