Date:Wednesday, May 11th, 2022
Commit:a0c6e795 on no-fractional-pow
Hostname:warfa with Racket 8.1
Seed:2022131
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: 6.7min)

sample2.5min (38%)

Results
55.8s374756×body128valid
54.3s7935×body8192exit
12.6s19425×body1024valid
10.1s14021×body1024invalid
4.1s10072×body512valid
3.2s21187×body128invalid
3.0s6529×body512invalid
1.5s2043×body2048valid
1.4s5420×body256valid
949.0ms3202×body256invalid
666.0ms1084×body4096valid
310.0ms218×body2048invalid
Compiler

Compiled 4243 to 2621 computations (38.2% saved)

series1.7min (25.1%)

Counts
353 → 7215
Calls

340 calls:

39.7s
(log.f64 (/.f64 (exp.f64 1) (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (fma.f64 (sqrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (sqrt.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))))
29.4s
(-.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))
5.2s
(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))))
1.6s
(/.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))
1.2s
(/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (fma.f64 i 2 (+.f64 alpha beta)) (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.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))

prune45.6s (11.3%)

Counts
28357 → 1014
Compiler

Compiled 1606389 to 939399 computations (41.5% saved)

regimes37.8s (9.4%)

Counts
5064 → 67
Compiler

Compiled 819126 to 553796 computations (32.4% saved)

simplify25.6s (6.4%)

Algorithm
237×egg-herbie
Rules
63171×fma-def_binary64
55114×fma-neg_binary64
38978×distribute-rgt-in_binary64
34439×associate-*l*_binary64
33807×times-frac_binary64
Counts
21169 → 22607

analyze24.6s (6.1%)

Algorithm
51×search
Search
TrueOtherFalseIter
0%87.4%12.6%0
2%85.4%12.6%1
8.7%76.5%14.8%2
21.2%63.5%15.3%3
25.4%57.5%17.1%4
34.9%47.4%17.7%5
38.3%42.2%19.5%6
42.7%34.6%22.7%7
46.2%30.4%23.4%8
49.4%26.2%24.5%9
51.9%22.6%25.6%10
54%19.6%26.4%11
55.9%17.2%26.9%12
57.8%14.4%27.8%13
58.9%13.1%28.1%14
Compiler

Compiled 1515 to 960 computations (36.6% saved)

end8.0s (2%)

Compiler

Compiled 12932 to 8307 computations (35.8% saved)

rewrite4.6s (1.1%)

Algorithm
137×rewrite-expression-head
Rules
7925×times-frac_binary64
7111×*-un-lft-identity_binary64
6055×add-sqr-sqrt_binary64
4665×add-cube-cbrt_binary64
1837×add-exp-log_binary64
Counts
353 → 13904
Calls

340 calls:

72.0ms
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)))))
71.0ms
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
68.0ms
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) 3/2))
54.0ms
(-.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 3) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)))))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 4)) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 18 (/.f64 (*.f64 beta beta) (pow.f64 alpha 4)) (fma.f64 20 (/.f64 beta (pow.f64 alpha 4)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))))))))
51.0ms
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)))))

localize1.9s (0.5%)

bsearch299.0ms (0.1%)

Compiler

Compiled 97 to 57 computations (41.2% saved)

Profiling

Loading profile data...