Date:Tuesday, March 14th, 2023
Commit:0a0aee13 on main
Hostname:nightly with Racket 8.6
Seed:2023073
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)

sample8.8min (37.3%)

Results
2.7min16898×body8192exit
1.5min69723×body1024valid
1.2min8792×body4096valid
1.1min294854×body256valid
40.5s14412×body2048valid
33.6s1657×body8192valid
21.8s34961×body512valid
11.8s6133×body1024infinite
7.5s910×body4096infinite
6.7s21062×body256infinite
6.6s1243×body2048infinite
5.4s16760×body256unsamplable
3.9s21279×body256invalid
3.4s3175×body512infinite
1.3s1751×body1024invalid
1.2s1258×body2048invalid
691.0ms38×body8192infinite
592.0ms1247×body512invalid
136.0ms909×body256precondition
13.0ms8×body1024unsamplable
5.0ms6×body512unsamplable
Bogosity

regimes3.5min (14.6%)

Counts
26380 → 1141
Calls

143 calls:

12.1s
phi2
12.1s
b
11.9s
a
11.4s
lambda1
10.8s
lambda2
Compiler

Compiled 650892 to 319222 computations (51% saved)

eval3.1min (13.2%)

Compiler

Compiled 9864558 to 5479757 computations (44.5% saved)

simplify1.8min (7.6%)

Algorithm
799×egg-herbie
Rules
457914×associate-*r*
439524×associate-/l*
433038×*-commutative
399150×distribute-lft-in
398062×associate-/r*
Stop Event
1×unsound
69×saturated
7×done
43×fuel
729×node limit
Counts
126218 → 151380
Compiler

Compiled 20504 to 12953 computations (36.8% saved)

prune1.6min (6.9%)

Counts
211532 → 9400
Compiler

Compiled 532440 to 370041 computations (30.5% saved)

bsearch1.6min (6.7%)

Algorithm
595×binary-search
66×left-value
Results
32.0s14592×body1024valid
17.7s45594×body256valid
16.2s2964×body4096valid
15.3s4619×body2048valid
8.1s6074×body512valid
2.5s127×body8192valid
643.0ms2716×body256invalid
405.0ms82×body1024infinite
355.0ms845×body256infinite
62.0ms23×body512infinite
32.0ms39×body1024invalid
26.0ms4×body4096infinite
25.0ms6×body2048infinite
25.0ms55×body512invalid
2.0ms3×body2048invalid
Compiler

Compiled 211982 to 155233 computations (26.8% saved)

rewrite1.1min (4.9%)

Algorithm
698×batch-egg-rewrite
5×egg-rewrite-iter-limit
4×egg-rewrite
Rules
414264×add-sqr-sqrt
405490×*-un-lft-identity
381770×add-cube-cbrt
377836×add-cbrt-cube
285206×add-exp-log
Stop Event
7×unsound
5×iter limit
695×node limit
Counts
1778 → 86100

analyze43.0s (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)

localize36.7s (2.6%)

Compiler

Compiled 89865 to 45176 computations (49.7% saved)

soundness19.2s (1.3%)

Algorithm
130×egg-herbie
Rules
75446×associate-*r*
74730×*-commutative
64720×associate-/r*
62890×associate-+r+
62484×+-commutative
Stop Event
14×saturated
116×node limit
Compiler

Compiled 18073 to 10913 computations (39.6% saved)

series13.8s (1%)

Counts
1778 → 40067
Calls

11022 calls:

TimeVariablePointExpression
425.0ms
x-scale
@inf
(*.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 b (*.f64 (neg.f64 a) (*.f64 b a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))) (+.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))) (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 (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a)))) x-scale) (/.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) y-scale)))))) (*.f64 b (*.f64 (neg.f64 a) (*.f64 b a))))))
354.0ms
F
@-inf
(sqrt.f64 (*.f64 F (+.f64 (*.f64 B (/.f64 B A)) (*.f64 A 4))))
143.0ms
F
@0
(pow.f64 (pow.f64 (*.f64 F (+.f64 A A)) 3/2) 1/3)
112.0ms
b
@0
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 8) b))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 8) b))))
99.0ms
lambda2
@-inf
(pow.f64 (cbrt.f64 (*.f64 R (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2))) (-.f64 phi1 phi2)))) 3)

end9.2s (0.6%)

Compiler

Compiled 19966 to 9617 computations (51.8% saved)

preprocess3.9s (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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