Date:Thursday, February 2nd, 2023
Commit:26c408a1 on oflatt-egglog-ctx
Hostname:nightly with Racket 8.6
Seed:2023033
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: 1.4hr)

simplify44.5min (54.5%)

Algorithm
599×egglog
Stop Event
done
28×fuel
Counts
125019 → 138339
Results
Compiler

Compiled 7688 to 4765 computations (38% saved)

rewrite16.5min (20.2%)

Algorithm
550×batch-egg-rewrite
Rules
104016×egg-rr
Counts
1436 → 104013

sample8.3min (10.2%)

Results
2.6min16353×body8192exit
1.4min69413×body1024valid
1.1min294339×body256valid
1.0min8808×body4096valid
37.4s14730×body2048valid
28.2s1609×body8192valid
20.5s35270×body512valid
11.0s6391×body1024infinite
7.2s910×body4096infinite
6.4s21598×body256infinite
5.9s1233×body2048infinite
5.8s15225×body256unsamplable
4.6s21707×body256invalid
3.2s3262×body512infinite
1.5s1752×body1024invalid
1.3s1156×body2048invalid
718.0ms1230×body512invalid
549.0ms32×body8192infinite
141.0ms857×body256precondition
3.0msbody1024unsamplable
2.0msbody512unsamplable
Bogosity

preprocess3.0min (3.6%)

Algorithm
102×egglog
Compiler

Compiled 1762 to 1250 computations (29.1% saved)

eval2.7min (3.3%)

Results
Compiler

Compiled 8607086 to 4882743 computations (43.3% saved)

series2.2min (2.7%)

Counts
1442 → 25693
Calls

8529 calls:

TimeVariablePointExpression
138.0ms
b
@inf
(/.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (*.f64 8 (*.f64 (+.f64 (sqrt.f64 (fma.f64 4 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) 2) (pow.f64 (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) 2)) (pow.f64 (*.f64 x-scale y-scale) 2)) (pow.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) 2) (*.f64 y-scale y-scale))) 2))) (+.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) 2) (*.f64 x-scale x-scale)) (/.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 angle 1/180) (PI.f64))) 2) (*.f64 y-scale y-scale)))) (pow.f64 (*.f64 a a) 2))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (pow.f64 (*.f64 x-scale y-scale) 2) b))) (*.f64 a a))
96.0ms
angle
@0
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 (*.f64 angle 1/180) (+.f64 (PI.f64) (PI.f64))))) x-scale) y-scale) (-.f64 (*.f64 a a) (*.f64 (*.f64 y-scale y-scale) (+.f64 (pow.f64 (/.f64 b x-scale) 2) (fabs.f64 (-.f64 (pow.f64 (/.f64 a y-scale) 2) (pow.f64 (/.f64 b x-scale) 2))))))) (*.f64 (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 (*.f64 angle 1/180) (+.f64 (PI.f64) (PI.f64))))) x-scale) y-scale) (*.f64 (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 (*.f64 angle 1/180) (+.f64 (PI.f64) (PI.f64))))) x-scale) y-scale) (*.f64 y-scale y-scale))))
84.0ms
phi2
@0
(pow.f64 (cbrt.f64 (*.f64 R (hypot.f64 (-.f64 phi2 phi1) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))) 3)
82.0ms
a
@inf
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) b) (/.f64 1/2 a))) 3)
81.0ms
A
@0
(pow.f64 (pow.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 B B (*.f64 C (*.f64 A -4))) (+.f64 F F)) (-.f64 C (-.f64 (hypot.f64 (-.f64 A C) B) A))))) (fma.f64 B B (*.f64 C (*.f64 A -4)))) 3) 1/3)
Results
Compiler

Compiled 10291508 to 7187479 computations (30.2% saved)

prune1.4min (1.7%)

Counts
186909 → 6749
Compiler

Compiled 437674 to 303893 computations (30.6% saved)

regimes1.3min (1.6%)

Counts
12967 → 504
Calls

106 calls:

6.4s
phi1
6.4s
lambda1
5.6s
lambda2
5.6s
phi2
5.2s
b
Results
Compiler

Compiled 353197 to 182501 computations (48.3% saved)

analyze45.0s (0.9%)

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)

localize42.4s (0.9%)

Compiler

Compiled 92987 to 50431 computations (45.8% saved)

bsearch16.5s (0.3%)

Algorithm
47×left-value
194×binary-search
Results
9.8s7487×body1024valid
3.4s12592×body256valid
2.2s2904×body512valid
481.0ms233×body2048valid
33.0ms167×body256invalid
32.0ms140×body256infinite
4.0msbody512infinite
Compiler

Compiled 54416 to 39799 computations (26.9% saved)

end3.3s (0.1%)

Compiler

Compiled 7068 to 3270 computations (53.7% saved)

soundness1.0ms (0%)

Profiling

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