Date:Sunday, November 27th, 2022
Commit:ce9ba413 on main
Hostname:nightly with Racket 8.6
Seed:2022331
Parameters:256 points for 4 iterations
Flags:
reduce: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: 22.5min)

sample8.5min (37.5%)

Results
2.7min17124×body8192exit
1.4min69688×body1024valid
1.1min8802×body4096valid
59.6s295013×body256valid
39.3s14635×body2048valid
32.6s1670×body8192valid
20.2s34917×body512valid
11.5s6429×body1024infinite
6.3s867×body4096infinite
6.2s21532×body256infinite
5.5s17375×body256unsamplable
5.5s1212×body2048infinite
3.9s21666×body256invalid
3.4s3252×body512infinite
1.1s1745×body1024invalid
1.1s1247×body2048invalid
558.0ms37×body8192infinite
490.0ms1143×body512invalid
107.0ms908×body256precondition
11.0ms16×body512unsamplable
4.0ms3×body1024unsamplable
Bogosity

regimes3.9min (17.3%)

Counts
25669 → 1153
Calls

143 calls:

16.6s
a
13.1s
b
13.0s
phi2
12.6s
phi1
11.2s
lambda1
Compiler

Compiled 667402 to 343388 computations (48.5% saved)

eval3.1min (13.8%)

Compiler

Compiled 9342747 to 5343738 computations (42.8% saved)

bsearch1.5min (6.6%)

Algorithm
614×binary-search
60×left-value
Results
25.1s13533×body1024valid
21.1s3632×body4096valid
16.2s6133×body2048valid
14.2s45583×body256valid
6.7s6142×body512valid
2.1s113×body8192valid
544.0ms2446×body256invalid
362.0ms58×body2048infinite
208.0ms28×body4096infinite
156.0ms54×body1024infinite
147.0ms455×body256infinite
68.0ms59×body512infinite
14.0ms20×body1024invalid
7.0ms13×body512invalid
5.0ms7×body2048invalid
Compiler

Compiled 203713 to 149370 computations (26.7% saved)

simplify1.3min (5.9%)

Algorithm
788×egg-herbie
Rules
276613×fma-def_binary64
190634×log-prod_binary64
181767×fma-neg_binary64
157056×unswap-sqr_binary64
156411×associate-*r*_binary64
Stop Event
3×unsound
71×saturated
7×done
44×fuel
714×node limit
Counts
109203 → 125232
Compiler

Compiled 23243 to 14410 computations (38% saved)

prune1.3min (5.6%)

Counts
178915 → 9013
Compiler

Compiled 489813 to 343938 computations (29.8% saved)

rewrite47.4s (3.5%)

Algorithm
686×batch-egg-rewrite
11×egg-rewrite-iter-limit
12×egg-rewrite
Rules
240093×pow1_binary64
225654×add-log-exp_binary64
225544×expm1-log1p-u_binary64
225510×log1p-expm1-u_binary64
210576×log-prod_binary64
Stop Event
14×unsound
11×iter limit
684×node limit
Counts
1729 → 68912

analyze43.3s (3.2%)

Algorithm
53×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%79.4%20.6%0%0%0%0
2.4%1.9%77.5%20.6%0%0%0%1
5.1%4%75%21%0%0%0%2
12.7%9.8%67.2%21.2%0.5%1.4%0%3
20.5%15.3%59.4%21.2%1.1%2.6%0.5%4
26.8%19.7%53.7%21.2%1.3%3.4%0.7%5
32.2%23.1%48.7%21.2%1.7%4.2%1.1%6
35%24.7%45.9%21.2%2%4.9%1.2%7
37.7%26.3%43.5%21.3%2.3%5.3%1.4%8
41.6%28.6%40.1%21.3%2.7%6%1.5%9
43.1%29.4%38.8%21.3%2.7%6.3%1.6%10
45.8%31%36.7%21.3%2.8%6.6%1.6%11
48.4%32.6%34.7%21.3%2.8%7%1.7%12
Compiler

Compiled 1919 to 1338 computations (30.3% saved)

localize36.3s (2.7%)

Compiler

Compiled 93274 to 47129 computations (49.5% saved)

soundness22.8s (1.7%)

Algorithm
153×egg-herbie
Rules
63813×fma-def_binary64
40116×distribute-rgt-in_binary64
39337×fma-neg_binary64
37762×times-frac_binary64
35367×*-commutative_binary64
Stop Event
1×unsound
8×saturated
144×node limit
Compiler

Compiled 147968 to 102744 computations (30.6% saved)

series18.8s (1.4%)

Counts
1729 → 40240
Calls

11133 calls:

TimeVariablePointExpression
309.0ms
b
@0
(*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 -1/4 (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 a (*.f64 b (neg.f64 a))) (/.f64 (*.f64 8 (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (/.f64 (*.f64 x-scale y-scale) (*.f64 2 (*.f64 (sin.f64 (/.f64 angle (/.f64 180 (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))))))))) (*.f64 (neg.f64 a) (*.f64 a (*.f64 b b))))))
298.0ms
F
@-inf
(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 (*.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) F) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (*.f64 A (*.f64 C -4))))
296.0ms
y-scale
@-inf
(/.f64 180 (/.f64 (PI.f64) (atan.f64 (*.f64 (/.f64 y-scale x-scale) (neg.f64 (/.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))))
229.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
150.0ms
c
@0
(log.f64 (pow.f64 (exp.f64 (/.f64 c b)) 3/2))

end8.1s (0.6%)

Results
Compiler

Compiled 23511 to 11403 computations (51.5% saved)

preprocess3.7s (0.3%)

Algorithm
102×egg-herbie
Rules
26100×fma-def_binary64
14723×fma-neg_binary64
9914×div-sub_binary64
8737×distribute-rgt-in_binary64
8329×sub-neg_binary64
Stop Event
57×saturated
9×unsound
36×node limit
Compiler

Compiled 1762 to 1250 computations (29.1% saved)

Profiling

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