Date:Tuesday, February 14th, 2023
Commit:0a0aee13 on main
Hostname:nightly with Racket 8.6
Seed:2023045
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: 23.7min)

sample8.5min (36.1%)

Results
2.7min17020×body8192exit
1.4min70055×body1024valid
1.1min8857×body4096valid
1.0min294498×body256valid
39.5s14426×body2048valid
32.2s1612×body8192valid
21.1s35218×body512valid
10.8s6284×body1024infinite
6.1s801×body4096infinite
6.1s21339×body256infinite
5.8s1188×body2048infinite
5.3s17320×body256unsamplable
4.1s21277×body256invalid
3.3s3304×body512infinite
1.3s1695×body1024invalid
1.2s1226×body2048invalid
646.0ms1214×body512invalid
605.0ms40×body8192infinite
102.0ms878×body256precondition
7.0ms10×body512unsamplable
6.0ms4×body1024unsamplable
Bogosity

regimes3.8min (16.2%)

Counts
25150 → 1159
Calls

143 calls:

13.3s
a
12.7s
lambda2
12.1s
phi1
11.9s
phi2
11.6s
C
Results
Compiler

Compiled 689414 to 371148 computations (46.2% saved)

eval3.1min (13.1%)

Compiler

Compiled 10365562 to 5832697 computations (43.7% saved)

simplify1.8min (7.8%)

Algorithm
797×egg-herbie
Rules
466570×associate-*r*
427054×*-commutative
409162×associate-/l*
397874×associate-*l*
393664×distribute-lft-in
Stop Event
7×unsound
68×saturated
6×done
44×fuel
722×node limit
Counts
129440 → 156465
Compiler

Compiled 21391 to 13475 computations (37% saved)

bsearch1.7min (7%)

Algorithm
569×binary-search
84×left-value
Results
27.2s13953×body1024valid
21.1s2777×body4096valid
16.9s5082×body2048valid
15.7s40799×body256valid
6.8s6146×body512valid
3.7s454×body4096infinite
1.9s420×body2048infinite
1.8s107×body8192valid
1.3s446×body1024infinite
691.0ms1140×body256infinite
453.0ms2056×body256invalid
254.0ms14×body8192infinite
239.0ms172×body512infinite
8.0ms10×body2048invalid
5.0ms9×body1024invalid
4.0ms9×body512invalid
Compiler

Compiled 202326 to 145808 computations (27.9% saved)

prune1.5min (6.4%)

Counts
213494 → 9292
Compiler

Compiled 519130 to 361686 computations (30.3% saved)

rewrite1.1min (4.7%)

Algorithm
696×batch-egg-rewrite
11×egg-rewrite-iter-limit
12×egg-rewrite
Rules
409246×add-sqr-sqrt
400512×*-un-lft-identity
377150×add-cube-cbrt
374934×add-cbrt-cube
282304×add-exp-log
Stop Event
11×unsound
11×iter limit
697×node limit
Counts
1825 → 87620

analyze43.2s (3%)

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)

localize37.2s (2.6%)

Compiler

Compiled 94538 to 46964 computations (50.3% saved)

soundness18.4s (1.3%)

Algorithm
138×egg-herbie
Rules
84252×*-commutative
78762×associate-*r*
74102×associate-/l*
73668×associate-/r*
68770×+-commutative
Stop Event
11×saturated
127×node limit
Compiler

Compiled 20793 to 12481 computations (40% saved)

series14.1s (1%)

Counts
1825 → 41769
Calls

11775 calls:

TimeVariablePointExpression
317.0ms
phi2
@0
(pow.f64 (cbrt.f64 (*.f64 R (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 phi1))) (-.f64 phi1 phi2)))) 3)
298.0ms
angle
@-inf
(*.f64 (/.f64 (pow.f64 (*.f64 x-scale y-scale) 2) (*.f64 a (*.f64 (neg.f64 a) (*.f64 b b)))) (/.f64 (sqrt.f64 (*.f64 b (*.f64 (*.f64 (*.f64 b a) (neg.f64 a)) (*.f64 (*.f64 (/.f64 8 (pow.f64 (*.f64 x-scale y-scale) 2)) (*.f64 a (*.f64 (neg.f64 a) (*.f64 b b)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 y-scale (/.f64 (/.f64 x-scale (*.f64 2 (fma.f64 a (neg.f64 a) (*.f64 b b)))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))))))))))) -4))
102.0ms
F
@0
(pow.f64 (*.f64 F (-.f64 C (-.f64 (hypot.f64 B (-.f64 A C)) A))) 1/4)
101.0ms
x-scale
@inf
(/.f64 y-scale (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 2 (-.f64 (/.f64 a (/.f64 (*.f64 y-scale y-scale) a)) (*.f64 (/.f64 b x-scale) (/.f64 b x-scale))))) (/.f64 (PI.f64) x-scale)) angle))
98.0ms
y-scale
@0
(*.f64 (*.f64 1/4 y-scale) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 8) b)))) (sqrt.f64 2)))

end7.5s (0.5%)

Compiler

Compiled 20084 to 9640 computations (52% saved)

preprocess4.0s (0.3%)

Algorithm
102×egg-herbie
Rules
32198×fma-def
26296×*-commutative
22918×+-commutative
19502×distribute-lft-in
19386×associate-/r*
Stop Event
60×saturated
5×unsound
37×node limit
Compiler

Compiled 1762 to 1250 computations (29.1% saved)

Profiling

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