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: 10.6min)

series4.6min (43.1%)

Counts
263 → 5283
Calls

256 calls:

42.8s
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 (pow.f32 (*.f32 2 (fma.f32 maxCos (*.f32 ux ux) ux)) 3) (pow.f32 (+.f32 (*.f32 (fma.f32 maxCos maxCos 1) (*.f32 ux ux)) (*.f32 2 (*.f32 maxCos ux))) 3)))) (sqrt.f32 (+.f32 (*.f32 (*.f32 2 (fma.f32 maxCos (*.f32 ux ux) ux)) (*.f32 2 (fma.f32 maxCos (*.f32 ux ux) ux))) (+.f32 (*.f32 (+.f32 (*.f32 (fma.f32 maxCos maxCos 1) (*.f32 ux ux)) (*.f32 2 (*.f32 maxCos ux))) (+.f32 (*.f32 (fma.f32 maxCos maxCos 1) (*.f32 ux ux)) (*.f32 2 (*.f32 maxCos ux)))) (*.f32 (*.f32 2 (fma.f32 maxCos (*.f32 ux ux) ux)) (+.f32 (*.f32 (fma.f32 maxCos maxCos 1) (*.f32 ux ux)) (*.f32 2 (*.f32 maxCos ux))))))))
17.6s
(exp.f32 (log1p.f32 (-.f32 (*.f32 maxCos ux) ux)))
14.0s
(pow.f32 (E.f32) (log1p.f32 (-.f32 (*.f32 maxCos ux) ux)))
9.3s
(/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) uy))) (sqrt.f32 (-.f32 (*.f32 4 (*.f32 (fma.f32 maxCos (*.f32 ux ux) ux) (fma.f32 maxCos (*.f32 ux ux) ux))) (*.f32 (*.f32 ux (+.f32 (*.f32 2 maxCos) (*.f32 (fma.f32 maxCos maxCos 1) ux))) (*.f32 ux (+.f32 (*.f32 2 maxCos) (*.f32 (fma.f32 maxCos maxCos 1) ux))))))) (sqrt.f32 (+.f32 (*.f32 2 (fma.f32 maxCos (*.f32 ux ux) ux)) (+.f32 (*.f32 (fma.f32 maxCos maxCos 1) (*.f32 ux ux)) (*.f32 2 (*.f32 maxCos ux))))))
7.5s
(/.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1) (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1))

regimes2.1min (20.2%)

Counts
6170 → 24
Compiler

Compiled 1876897 to 1265919 computations (32.6% saved)

sample1.5min (13.8%)

Results
1.4min206400×body128valid
2.2s5913×body128invalid
Compiler

Compiled 3103 to 2231 computations (28.1% saved)

prune1.3min (12.4%)

Counts
24132 → 910
Compiler

Compiled 1312172 to 778611 computations (40.7% saved)

simplify25.5s (4%)

Algorithm
143×egg-herbie
Rules
51762×fma-def_binary32
35119×fma-neg_binary32
25658×times-frac_binary32
25525×associate-*l*_binary32
23901×associate-*r*_binary32
Counts
14958 → 16310

analyze17.0s (2.7%)

Algorithm
25×search
Search
TrueOtherFalseIter
0%3.2%96.8%0
0%3.1%96.8%1
0.3%2.9%96.8%2
1.4%1.8%96.8%3
1.5%1.6%96.8%4
2.1%1.1%96.8%5
2.2%0.9%96.9%6
2.4%0.6%96.9%7
2.5%0.6%96.9%8
2.6%0.4%96.9%9
2.7%0.4%97%10
2.8%0.2%97%11
2.8%0.2%97%12
2.8%0.2%97%13
2.8%0.1%97%14
Compiler

Compiled 1220 to 881 computations (27.8% saved)

localize10.0s (1.6%)

end8.5s (1.3%)

Compiler

Compiled 9588 to 6450 computations (32.7% saved)

rewrite5.0s (0.8%)

Algorithm
94×rewrite-expression-head
Rules
4013×*-un-lft-identity_binary32
4008×add-sqr-sqrt_binary32
3971×times-frac_binary32
2648×add-cube-cbrt_binary32
1876×sqrt-prod_binary32
Counts
263 → 9650
Calls

254 calls:

103.0ms
(*.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
81.0ms
(*.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 1 (sqrt.f32 u1)))) (sin.f32 (*.f32 (*.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (*.f32 (cbrt.f32 314159265359/50000000000) u2))))
81.0ms
(+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)
74.0ms
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))
55.0ms
(*.f32 (sqrt.f32 (+.f32 eta (/.f32 sinTheta_O (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O))))))) (sqrt.f32 (-.f32 eta (/.f32 sinTheta_O (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O))))))))

Profiling

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