Date:Wednesday, March 1st, 2023
Commit:b6e17b25 on asinh-taylor-bug
Hostname:nightly with Racket 8.6
Seed:2023060
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: 24.7min)

sample8.7min (35.2%)

Results
2.7min17308×body8192exit
1.4min69823×body1024valid
1.2min9013×body4096valid
1.0min294859×body256valid
39.8s14393×body2048valid
32.6s1640×body8192valid
21.3s34914×body512valid
11.3s6305×body1024infinite
7.2s1226×body2048infinite
6.9s847×body4096infinite
6.2s21339×body256infinite
5.5s17627×body256unsamplable
4.1s21615×body256invalid
3.3s3104×body512infinite
1.2s1706×body1024invalid
1.0s1188×body2048invalid
745.0ms44×body8192infinite
520.0ms1202×body512invalid
94.0ms854×body256precondition
13.0ms8×body1024unsamplable
6.0ms8×body512unsamplable
Bogosity

regimes4.8min (19.7%)

Counts
29118 → 1229
Calls

141 calls:

17.5s
lambda1
17.1s
A
16.7s
phi2
16.5s
lambda2
16.4s
(-.f64 lambda1 lambda2)
Results
Compiler

Compiled 787995 to 412525 computations (47.6% saved)

eval3.3min (13.6%)

Compiler

Compiled 10436350 to 5848507 computations (44% saved)

simplify1.8min (7.2%)

Algorithm
780×egg-herbie
Rules
475542×associate-*r*
421470×associate-/l*
409864×*-commutative
402150×associate-*l*
391746×distribute-lft-in
Stop Event
6×unsound
67×saturated
7×done
42×fuel
707×node limit
Counts
122647 → 150797
Compiler

Compiled 23702 to 14657 computations (38.2% saved)

prune1.5min (6.2%)

Counts
209838 → 8847
Compiler

Compiled 479536 to 337874 computations (29.5% saved)

bsearch1.3min (5.2%)

Algorithm
657×binary-search
73×left-value
Results
25.7s15921×body1024valid
15.3s53816×body256valid
11.9s4701×body2048valid
11.4s1653×body4096valid
7.2s6970×body512valid
1.5s7664×body256invalid
595.0ms35×body8192valid
473.0ms74×body4096infinite
427.0ms113×body2048infinite
242.0ms405×body256infinite
179.0ms70×body1024infinite
94.0ms60×body512infinite
43.0ms3×body8192infinite
19.0ms32×body1024invalid
13.0ms31×body512invalid
1.0ms1×body2048invalid
Compiler

Compiled 256497 to 185536 computations (27.7% saved)

rewrite1.1min (4.4%)

Algorithm
680×batch-egg-rewrite
11×egg-rewrite-iter-limit
15×egg-rewrite
Rules
423588×add-sqr-sqrt
415036×*-un-lft-identity
390266×add-cube-cbrt
387836×add-cbrt-cube
282452×add-exp-log
Stop Event
16×unsound
11×iter limit
679×node limit
Counts
1744 → 83312

analyze44.4s (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)

localize36.6s (2.5%)

Compiler

Compiled 93304 to 47589 computations (49% saved)

soundness17.9s (1.2%)

Algorithm
131×egg-herbie
Rules
81640×associate-*r*
81430×*-commutative
68592×associate-/l*
67680×+-commutative
67464×associate-/r*
Stop Event
11×saturated
120×node limit
Compiler

Compiled 19509 to 11819 computations (39.4% saved)

series14.4s (1%)

Counts
1744 → 39284
Calls

10947 calls:

TimeVariablePointExpression
324.0ms
phi2
@-inf
(log1p.f64 (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2)))
324.0ms
b
@-inf
(/.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))))
318.0ms
phi1
@-inf
(acos.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
115.0ms
a
@0
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 b (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 2) (pow.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 2))) (*.f64 x-scale (*.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))
114.0ms
R
@-inf
(pow.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) R) 3) 1/3)

end8.0s (0.5%)

Compiler

Compiled 22951 to 10704 computations (53.4% 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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