Date:Wednesday, March 9th, 2022
Commit:31c460f2 on inf-ordinary
Hostname:warfa with Racket 8.1
Seed:2022068
Parameters:256 points for 4 iterations
Flags:
precision:fallbackreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplify
default

Details

Time bar (total: 12.3min)

series4.5min (36.1%)

Counts
339 → 7355
Calls

326 calls:

1.7min
(-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))) 3))
1.1min
(*.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1)) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1)))
18.4s
(log.f64 (/.f64 (exp.f64 1) (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))) 3))))
8.0s
(cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1))
5.8s
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))) (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))

sample3.3min (26.9%)

Results
1.5min8436×body8192exit
1.2min373400×body128valid
18.7s20235×body1024valid
5.8s10462×body512valid
2.0s5751×body256valid
1.9s1932×body2048valid
1.2s6338×body128invalid
969.0ms1035×body4096valid
Compiler

Compiled 4243 to 2621 computations (38.2% saved)

prune2.4min (19.4%)

Counts
29961 → 900
Compiler

Compiled 3157438 to 2056506 computations (34.9% saved)

regimes47.2s (6.4%)

Counts
3512 → 79
Compiler

Compiled 476213 to 310027 computations (34.9% saved)

simplify47.1s (6.4%)

Algorithm
229×egg-herbie
Rules
64798×fma-def_binary64
53573×fma-neg_binary64
34133×times-frac_binary64
31606×distribute-rgt-in_binary64
31050×associate-*l*_binary64
Counts
20265 → 21797

rewrite14.1s (1.9%)

Algorithm
131×rewrite-expression-head
Rules
5990×*-un-lft-identity_binary64
5640×times-frac_binary64
4867×add-sqr-sqrt_binary64
3752×add-exp-log_binary64
3738×add-cube-cbrt_binary64
Counts
339 → 12860
Calls

326 calls:

4.2s
(*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
278.0ms
(*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))
242.0ms
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (fma.f64 z 904338909853211/2500000000000 (*.f64 2076511864126339/4000000000000 (*.f64 z z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))
185.0ms
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
178.0ms
(*.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (-.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (fma.f64 z 904338909853211/2500000000000 (*.f64 (*.f64 z z) 2076511864126339/4000000000000))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))

analyze9.2s (1.2%)

Algorithm
51×search
Search
TrueOtherFalseIter
0%87.4%12.6%0
49.8%37.5%12.6%1
56.8%28.6%14.6%2
69.1%16.3%14.6%3
71.3%13.8%14.8%4
75.2%9.9%15%5
76.4%8.4%15.3%6
77.8%5.9%16.3%7
78.6%5%16.4%8
79%4.6%16.4%9
79.7%3.4%17%10
79.8%3.2%17%11
80%3%17%12
80.3%2.4%17.2%13
80.4%2.4%17.3%14
Compiler

Compiled 1515 to 960 computations (36.6% saved)

end8.1s (1.1%)

Compiler

Compiled 9456 to 5445 computations (42.4% saved)

localize3.1s (0.4%)

bsearch1.2s (0.2%)

Compiler

Compiled 141 to 91 computations (35.5% saved)

Profiling

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