Date:Thursday, December 23rd, 2021
Commit:aef40ead on unify-sample-ground-truth
Hostname:warfa with Racket 8.1
Seed:2021357
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)

sample4.2min (39.6%)

Results
2.6min77639×body8192exit
57.2s366197×body128valid
13.6s19477×body1024valid
5.1s7144×body1024invalid
4.1s10229×body512valid
2.0s13459×body128invalid
1.7s2138×body2048valid
1.6s5446×body256valid
1.5s3218×body512invalid
1.3s1057×body4096valid
485.0ms1522×body256invalid
145.0ms106×body2048invalid
Compiler

Compiled 2722 to 1678 computations (38.4% saved)

series3.1min (29.5%)

Counts
317 → 6744
Calls

307 calls:

12.6s
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (pow.f64 (exp.f64 (*.f64 x x)) -2)) (*.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))
7.2s
(-.f64 (*.f64 (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))) (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))))) (*.f64 1 1))
3.1s
(/.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))
2.7s
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i 2 (+.f64 alpha beta))) (sqrt.f64 (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta))) (sqrt.f64 (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))))
2.7s
(*.f64 (/.f64 (/.f64 i (/.f64 (fma.f64 i 2 (+.f64 alpha beta)) (+.f64 i (+.f64 alpha beta)))) (sqrt.f64 (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta))) (sqrt.f64 (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))))

analyze1.5min (14.5%)

Algorithm
51×search
Search
TrueOtherFalseIter
0%87.4%12.6%0
0%87.4%12.6%1
0%85.4%14.6%2
0%85.4%14.6%3
2.4%82.5%15.1%4
3.4%81.4%15.2%5
5.7%78.7%15.7%6
7.2%75.2%17.6%7
8.8%73.3%18%8
9.9%71.6%18.4%9
10.9%69.8%19.3%10
11.6%68.7%19.7%11
12.5%67.5%20%12
13.2%66.2%20.5%13
13.5%65.8%20.7%14
Compiler

Compiled 1515 to 960 computations (36.6% saved)

prune43.4s (6.9%)

Counts
26249 → 899
Compiler

Compiled 1724572 to 998419 computations (42.1% saved)

regimes25.6s (4%)

Counts
3341 → 55
Compiler

Compiled 447495 to 298937 computations (33.2% saved)

simplify22.9s (3.6%)

Algorithm
221×egg-herbie
Rules
60584×fma-def_binary64
52763×fma-neg_binary64
34143×times-frac_binary64
29951×distribute-rgt-in_binary64
29653×*-commutative_binary64
Counts
17398 → 18840

end5.8s (0.9%)

Compiler

Compiled 9248 to 5919 computations (36% saved)

rewrite4.2s (0.7%)

Algorithm
124×rewrite-expression-head
Rules
3786×*-un-lft-identity_binary64
3784×add-sqr-sqrt_binary64
3692×times-frac_binary64
2776×add-cube-cbrt_binary64
2114×add-exp-log_binary64
Counts
317 → 10605
Calls

307 calls:

322.0ms
(*.f64 (/.f64 (/.f64 i (/.f64 (fma.f64 i 2 (+.f64 alpha beta)) (+.f64 i (+.f64 alpha beta)))) (sqrt.f64 (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta))) (sqrt.f64 (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))))
92.0ms
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
73.0ms
(/.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)))))
68.0ms
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
67.0ms
(*.f64 (/.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))))) x)

localize1.8s (0.3%)

bsearch273.0ms (0%)

Compiler

Compiled 94 to 57 computations (39.4% saved)

Profiling

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