Date:Tuesday, August 18th, 2020
Commit:e43305aa on cleanup
Hostname:warfa with Racket 7.5
Seed:2020231
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

Time bar (total: 4.5min)

sample3.1min (69.9%)

Algorithm
65×intervals
Results
1.1min9315×body5120exit
41.7s37039×body1280valid
13.0s24494×body640valid
12.5s4934×body1280overflowed
8.0s41113×body80overflowed
6.6s126770×body80valid
6.0s4462×body640overflowed
4.2s15000×body320valid
1.9s86070×pre80true
1.7s2198×body320overflowed
1.7s10098×body160valid
476.0ms1104×body160overflowed
404.0ms938×body2560valid
301.0ms4465×body80invalid
230.0ms466×body640invalid
207.0ms282×body1280invalid
172.0ms2530×body80nan
83.0ms10×body5120valid
76.0ms237×body320invalid
23.0ms104×body160invalid
19.0ms102×body2560nan
12.0ms81×body1280nan
6.0ms48×body640nan
5.0ms130×pre80false
2.0ms24×body320nan
1.0ms14×body160nan
Compiler

Compiled 10011 to 6926 computations (30.8% saved)

analyze29.8s (11.2%)

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
Compiler

Compiled 804 to 627 computations (22% saved)

simplify19.5s (7.3%)

Algorithm
178×egg-herbie

prune12.2s (4.5%)

Compiler

Compiled 332306 to 161184 computations (51.5% saved)

series7.4s (2.8%)

Calls

379 calls:

349.0ms
(/.f64 (-.f64 (*.f64 (cos.f64 delta) (cos.f64 delta)) (*.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (*.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (pow.f64 (sin.f64 phi1) 2)))) (+.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
240.0ms
(/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
237.0ms
(cbrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
232.0ms
(cbrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
187.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (log.f64 (exp.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

regimes6.0s (2.2%)

Compiler

Compiled 45591 to 29747 computations (34.8% saved)

rewrite3.7s (1.4%)

Algorithm
113×rewrite-expression-head
Rules
3597×*-un-lft-identity_binary64
3209×add-sqr-sqrt_binary64
2751×times-frac_binary64
2305×add-exp-log_binary64
2074×add-cube-cbrt_binary64
937×add-cbrt-cube_binary64
933×prod-exp_binary64
845×associate-*l/_binary64
781×div-exp_binary64
772×pow1_binary64
746×flip--_binary64
745×flip3--_binary64
716×pow-exp_binary64
608×sqrt-prod_binary64
561×add-log-exp_binary64
559×associate-*r*_binary64
532×difference-of-squares_binary64
478×frac-times_binary64
440×cbrt-prod_binary64
424×distribute-lft-out_binary64
400×frac-add_binary64
367×pow-to-exp_binary64
357×associate-/r*_binary64
348×associate-*l*_binary64
344×sqrt-div_binary64
291×associate-/l*_binary64
285×associate-*r/_binary64
264×unpow-prod-down_binary64
263×log-prod_binary64
230×distribute-lft-out--_binary64
217×cbrt-unprod_binary64
215×cbrt-div_binary64
180×flip-+_binary64
179×flip3-+_binary64
163×div-inv_binary64
162×cbrt-undiv_binary64
149×log-pow_binary64
145×pow-prod-down_binary64
144×unswap-sqr_binary64
143×associate-/r/_binary64
133×rec-exp_binary64 1-exp_binary64
107×cube-prod_binary64
106×exp-prod_binary64
100×sqr-pow_binary64
91×*-commutative_binary64
87×sub-neg_binary64
71×clear-num_binary64 frac-2neg_binary64
63×swap-sqr_binary64
60×diff-log_binary64
58×pow1/3_binary64
56×associate-/l/_binary64
54×log-div_binary64
53×unpow2_binary64
51×cosh-undef_binary64
42×div-sub_binary64
40×associate--r+_binary64 sum-log_binary64
38×associate--l+_binary64
33×difference-of-sqr-1_binary64 sqrt-pow1_binary64
31×pow1/2_binary64
30×pow-unpow_binary64
27×rem-log-exp_binary64 +-commutative_binary64
26×distribute-rgt-in_binary64 distribute-lft-in_binary64
25×rem-sqrt-square_binary64
24×unpow3_binary64 cube-mult_binary64
20×pow-flip_binary64
19×sin-diff_binary64 sin-mult_binary64
17×frac-sub_binary64
15×cos-diff_binary64 pow-sqr_binary64 pow-prod-up_binary64
14×acos-asin_binary64 pow-pow_binary64 tan-quot_binary64
12×difference-of-sqr--1_binary64 cube-div_binary64 inv-pow_binary64
11×associate--l-_binary64 exp-sum_binary64
10×cos-mult_binary64 pow-plus_binary64 sin-cos-mult_binary64 associate--r-_binary64
associate-+r+_binary64 pow2_binary64
sinh-undef_binary64 sin-sum_binary64
cos-sum_binary64
exp-diff_binary64 un-div-inv_binary64
associate-+r-_binary64 rem-exp-log_binary64
acos-neg_binary64 distribute-lft-neg-in_binary64 exp-to-pow_binary64 distribute-rgt-out_binary64 distribute-rgt-neg-in_binary64 distribute-frac-neg_binary64
rem-cbrt-cube_binary64 associate-+l+_binary64 rem-cube-cbrt_binary64
sqrt-unprod_binary64 distribute-rgt1-in_binary64 sinh-def_binary64 tanh-def-a_binary64 tanh-undef_binary64 neg-mul-1_binary64 sqr-cos-a_binary64 asin-acos_binary64 tanh-def-b_binary64 tanh-def-c_binary64 distribute-lft-neg-out_binary64
Calls

379 calls:

55.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (/.f64 (-.f64 x 1) (cbrt.f64 (+.f64 x 1)))))
47.0ms
(/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
36.0ms
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
35.0ms
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
34.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

localize1.7s (0.6%)

bsearch303.0ms (0.1%)

Compiler

Compiled 38 to 35 computations (7.9% saved)

end1.0ms (0%)

Profiling

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