Bearing on a great circle

Time bar (total: 7.5s)

analyze1.1s (14.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
7.8%7.8%92%0.2%0%0%0%9
7.8%7.8%92%0.2%0%0%0%10
10.2%10.1%89.7%0.2%0%0%0%11
10.2%10.1%89.7%0.2%0%0%0%12
Compiler

Compiled 29 to 18 computations (37.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 704.0ms
ival-sin: 265.0ms (37.7% of total)
ival-mult: 213.0ms (30.3% of total)
ival-cos: 151.0ms (21.5% of total)
ival-sub: 43.0ms (6.1% of total)
ival-atan2: 28.0ms (4% of total)
const: 2.0ms (0.3% of total)

sample5.5s (73.7%)

Results
2.4s2638×1024valid
1.0s3738×256valid
1.0s1726×512valid
348.0ms154×2048valid
Precisions
Click to see histograms. Total time spent on operations: 4.2s
ival-sin: 1.5s (36.9% of total)
ival-cos: 1.3s (31% of total)
ival-mult: 552.0ms (13.2% of total)
ival-atan2: 532.0ms (12.7% of total)
ival-sub: 247.0ms (5.9% of total)
const: 13.0ms (0.3% of total)
Bogosity

preprocess453.0ms (6%)

Algorithm
1×egg-herbie
Rules
1592×fma-define
591×fma-neg
438×unsub-neg
406×distribute-lft-neg-in
275×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01151728
12711704
26021680
313081680
426381680
542321680
654171680
757091680
857991680
958571680
1059041680
1169391680
1270311680
1370371680
1470371680
1570371680
1670371680
1770371680
Stop Event
1×saturated
Calls
Call 1
Inputs
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 (neg.f64 lambda1) lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 (neg.f64 phi1)) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 (neg.f64 phi1)) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (neg.f64 phi2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 (neg.f64 phi2))) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 (neg.f64 phi2))) (cos.f64 (-.f64 lambda1 lambda2)))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 (neg.f64 lambda1) lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2))))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 (neg.f64 lambda2)))))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 (neg.f64 phi1)) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 (neg.f64 phi1)) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (neg.f64 phi2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 (neg.f64 phi2))) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 (neg.f64 phi2))) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 phi1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 lambda1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (cos.f64 (-.f64 phi1 lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 phi2 lambda2)) (cos.f64 lambda1)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 lambda1)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 phi2 lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 phi1)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 phi1)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 phi2)) (cos.f64 lambda2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 lambda2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (-.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))
Outputs
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 (neg.f64 lambda1) lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2)))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 (neg.f64 lambda1) lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2))))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda1 lambda2)))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 lambda2))))))
(atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda1 lambda2)))) (fma.f64 (neg.f64 (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi1) (sin.f64 phi2))))
(atan2.f64 (*.f64 (sin.f64 (+.f64 lambda1 lambda2)) (neg.f64 (cos.f64 phi2))) (fma.f64 (neg.f64 (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi1) (sin.f64 phi2))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 (neg.f64 lambda2)))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (cos.f64 (-.f64 lambda1 (neg.f64 lambda2))))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (+.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 phi2))))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 lambda2))))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 lambda2))) (fma.f64 (neg.f64 (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi1) (sin.f64 phi2))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 (neg.f64 phi1)) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 (neg.f64 phi1)) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 phi1))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi1) (sin.f64 phi2))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (neg.f64 phi2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 (neg.f64 phi2))) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 (neg.f64 phi2))) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (neg.f64 (sin.f64 phi2))) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi1) (neg.f64 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 phi2))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (neg.f64 (fma.f64 (cos.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (neg.f64 (fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 (neg.f64 lambda1) lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2))))))
(neg.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 (neg.f64 lambda1) lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2)))))))
(neg.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (neg.f64 (+.f64 lambda1 lambda2)))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 lambda2)))))))
(neg.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 (+.f64 lambda1 lambda2)))) (fma.f64 (neg.f64 (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (+.f64 lambda1 lambda2)) (neg.f64 (cos.f64 phi2))) (fma.f64 (neg.f64 (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 (neg.f64 lambda2)))))))
(neg.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 (neg.f64 lambda2)))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (cos.f64 (-.f64 lambda1 (neg.f64 lambda2)))))))
(neg.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (+.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 phi2)))))))
(neg.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 lambda2)))))))
(neg.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 lambda1 lambda2))) (fma.f64 (neg.f64 (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 (+.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 (neg.f64 phi1)) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 (neg.f64 phi1)) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 phi1)))))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2))))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi1) (sin.f64 phi2)))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 (neg.f64 phi2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 (neg.f64 phi2))) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 (neg.f64 phi2))) (cos.f64 (-.f64 lambda1 lambda2))))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (neg.f64 (sin.f64 phi2))) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2))))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi1) (neg.f64 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 phi2)))))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (neg.f64 (fma.f64 (cos.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))))
(neg.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (neg.f64 (fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi1) (sin.f64 phi2))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 phi1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 lambda1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (cos.f64 (-.f64 phi1 lambda2)))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 lambda1)) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) (cos.f64 (-.f64 phi1 lambda2)))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 lambda1)) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda1) (cos.f64 (-.f64 phi1 lambda2))))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (fma.f64 (cos.f64 (-.f64 phi1 lambda2)) (*.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda1))) (*.f64 (sin.f64 phi2) (cos.f64 lambda1))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (fma.f64 (neg.f64 (cos.f64 phi2)) (*.f64 (sin.f64 lambda1) (cos.f64 (-.f64 lambda2 phi1))) (*.f64 (sin.f64 phi2) (cos.f64 lambda1))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 phi2 lambda2)) (cos.f64 lambda1)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 lambda1)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 phi2 lambda2)))))
(atan2.f64 (*.f64 (cos.f64 lambda1) (sin.f64 (-.f64 phi2 lambda2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 lambda1)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 (-.f64 phi2 lambda2))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 phi1)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 phi1)))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 phi1))) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 lambda2)) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi1)))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 phi1))) (fma.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda2)) (neg.f64 (cos.f64 (-.f64 lambda1 phi1))) (*.f64 (sin.f64 phi2) (cos.f64 lambda2))))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 phi1))) (-.f64 (*.f64 (sin.f64 phi2) (cos.f64 lambda2)) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda2)) (cos.f64 (-.f64 phi1 lambda1)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 phi2)) (cos.f64 lambda2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 lambda2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi2)))))
(atan2.f64 (*.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 (-.f64 lambda1 phi2))))))
(atan2.f64 (*.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (fma.f64 (cos.f64 phi1) (sin.f64 lambda2) (*.f64 (cos.f64 (-.f64 lambda1 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda2))))))
(atan2.f64 (*.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 phi2))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (-.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (-.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (-.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (-.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (fma.f64 (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (neg.f64 (cos.f64 phi1))) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))

explain415.0ms (5.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
78108(-2.2476587330192745e+244 7.57143598198023e-43 2.1385531045468185e+97 2.206198494821928e+177)0-(sin.f64 (-.f64 lambda1 lambda2))
78107(-2.2476587330192745e+244 7.57143598198023e-43 2.1385531045468185e+97 2.206198494821928e+177)0-(cos.f64 (-.f64 lambda1 lambda2))
00-0-(cos.f64 phi1)
00-0-(*.f64 (cos.f64 phi1) (sin.f64 phi2))
00-0-(sin.f64 phi2)
00-0-(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
00-0-phi1
00-0-lambda1
00-0-(cos.f64 phi2)
00-0-(sin.f64 phi1)
00-0-(-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
00-0-(-.f64 lambda1 lambda2)
00-0-(*.f64 (sin.f64 phi1) (cos.f64 phi2))
00-0-phi2
00-0-lambda2
00-0-(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
00-0-(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
Results
139.0ms132×1024valid
91.0ms122×512valid
73.0ms242×256valid
35.0ms16×2048valid
Compiler

Compiled 218 to 53 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 249.0ms
ival-sin: 92.0ms (36.9% of total)
ival-cos: 77.0ms (30.9% of total)
ival-atan2: 33.0ms (13.2% of total)
ival-mult: 28.0ms (11.2% of total)
ival-sub: 18.0ms (7.2% of total)
const: 1.0ms (0.4% of total)

eval0.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
77.7%
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
Compiler

Compiled 56 to 34 computations (39.3% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Rules
10×*-commutative
8×sub-neg
8×+-commutative
6×neg-sub0
6×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025104
136104
257104
369104
478104
581104
Stop Event
1×saturated
Calls
Call 1
Inputs
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
Outputs
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))

soundness0.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 28 to 17 computations (39.3% saved)

preprocess34.0ms (0.5%)

Compiler

Compiled 112 to 68 computations (39.3% saved)

end0.0ms (0%)

Profiling

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