Date:Tuesday, March 8th, 2022
Commit:f5bf406d on demo-preconditions
Hostname:warfa with Racket 8.1
Seed:2022067
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: 5.7min)

series2.5min (44.7%)

Counts
223 → 3337
Calls

214 calls:

1.2min
(fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n)))))) (*.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n))))) (cbrt.f64 (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n)))))) (*.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n))))) (*.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n))))) (cbrt.f64 (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n))))))))
1.1s
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
1.1s
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) 3)
1.0s
(-.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
941.0ms
(cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))

sample1.9min (33.3%)

Results
39.5s36682×body2048valid
37.8s66336×body1024valid
12.6s34583×body512valid
9.3s74112×body128valid
4.4s17187×body256valid
2.5s2342×body1024invalid
1.8s2267×body4096valid
1.0s1295×body512invalid
884.0ms5865×body128invalid
394.0ms407×body2048invalid
294.0ms696×body256invalid
3.0msbody8192valid
Compiler

Compiled 1075 to 792 computations (26.3% saved)

prune21.0s (6.2%)

Counts
18401 → 608
Compiler

Compiled 692406 to 421683 computations (39.1% saved)

simplify16.3s (4.8%)

Algorithm
139×egg-herbie
Rules
46708×fma-def_binary64
44849×fma-neg_binary64
25130×times-frac_binary64
18066×cancel-sign-sub-inv_binary64
17984×associate-*l*_binary64
Counts
13753 → 14385

regimes15.4s (4.5%)

Counts
2904 → 44
Compiler

Compiled 223286 to 147760 computations (33.8% saved)

analyze14.0s (4.1%)

Algorithm
28×search
Search
TrueOtherFalseIter
0%90.9%9.1%0
14.3%76.7%9.1%1
21.4%67.8%10.9%2
33.2%51.7%15.1%3
37.6%44.1%18.2%4
43.8%36.2%19.9%5
46.6%32.5%20.9%6
48.1%29.5%22.4%7
49.9%27.3%22.9%8
51.1%25.1%23.7%9
51.5%24%24.5%10
52.4%22.5%25%11
53.2%21.2%25.6%12
53.5%20.5%26%13
53.9%19.7%26.4%14
Compiler

Compiled 375 to 278 computations (25.9% saved)

end3.9s (1.1%)

Compiler

Compiled 6499 to 4249 computations (34.6% saved)

rewrite3.0s (0.9%)

Algorithm
84×rewrite-expression-head
Rules
7353×*-un-lft-identity_binary64
7341×times-frac_binary64
6466×add-sqr-sqrt_binary64
5038×add-cube-cbrt_binary64
3657×prod-diff_binary64
Counts
223 → 10388
Calls

213 calls:

124.0ms
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x))) (*.f64 (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x)))) (*.f64 (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x)))))
61.0ms
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
60.0ms
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
50.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
40.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

localize908.0ms (0.3%)

bsearch534.0ms (0.2%)

Compiler

Compiled 50 to 35 computations (30% saved)

Profiling

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