Details

Time bar (total: 14.9s)

analyze2.8s (18.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
9.4%90.4%0.2%9
9.4%90.4%0.2%10
10.9%88.9%0.2%11
10.9%88.9%0.2%12
10.9%88.9%0.2%13
10.9%88.9%0.2%14
Compiler

Compiled 25 to 15 computations (40% saved)

sample7.7s (51.9%)

Results
5.6s4633×body1024valid
1.2s1775×body512valid
349.0ms743×body256valid
341.0ms131×body2048valid
239.0ms974×body128valid
Compiler

Compiled 50 to 30 computations (40% saved)

preprocess91.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
732×fma-def_binary64
699×fma-neg_binary64
225×unsub-neg_binary64
186×cancel-sign-sub-inv_binary64
169×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062224
1100210
2130210
3164210
4214210
5377210
6540210
7952210
81385210
91779210
102307210
112972210
123608210
133856210
143960210
154031210
164058210
044
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
2
3
Call 2
Inputs
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 lambda2 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
(+.f64 phi1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (+.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 phi1 lambda2))))))
(+.f64 phi2 (atan2.f64 (*.f64 (cos.f64 lambda1) (sin.f64 (-.f64 phi2 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 (-.f64 phi2 lambda2))))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 phi1))) (+.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 phi1))))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 (-.f64 lambda1 phi2))))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi1) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
Outputs
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
(+.f64 lambda2 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
(+.f64 lambda2 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
(+.f64 lambda2 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(+.f64 phi1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (+.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 phi1 lambda2))))))
(+.f64 phi1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 phi1 lambda2)) (cos.f64 lambda1))))
(+.f64 phi2 (atan2.f64 (*.f64 (cos.f64 lambda1) (sin.f64 (-.f64 phi2 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 (-.f64 phi2 lambda2))))))
(+.f64 phi2 (atan2.f64 (*.f64 (cos.f64 lambda1) (sin.f64 (-.f64 phi2 lambda2))) (fma.f64 (cos.f64 lambda1) (cos.f64 (-.f64 phi2 lambda2)) (cos.f64 phi1))))
(+.f64 phi2 (atan2.f64 (*.f64 (cos.f64 lambda1) (sin.f64 (-.f64 phi2 lambda2))) (fma.f64 (cos.f64 lambda1) (cos.f64 (-.f64 lambda2 phi2)) (cos.f64 phi1))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 phi1))) (+.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 phi1))))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 phi1))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 phi1)) (cos.f64 lambda2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 (-.f64 lambda1 phi2))))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (fma.f64 (cos.f64 lambda2) (cos.f64 (-.f64 lambda1 phi2)) (cos.f64 phi1))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (fma.f64 (cos.f64 lambda2) (cos.f64 (-.f64 phi2 lambda1)) (cos.f64 phi1))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi1) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (+.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2))))
Compiler

Compiled 24 to 14 computations (41.7% saved)

simplify29.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
284×fma-def_binary64
141×fma-neg_binary64
44×distribute-rgt-in_binary64
39×cancel-sign-sub-inv_binary64
35×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01532
12130
22830
33530
44530
57130
611530
716830
824030
932730
1045430
1160030
1264630
1374830
1485230
1587430
1690730
1795130
1899430
19101530
20101730
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
Outputs
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
1.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
Compiler

Compiled 89 to 43 computations (51.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
✓0.4b
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
✓4.1b
(sin.f64 (-.f64 lambda1 lambda2))
✓4.2b
(cos.f64 (-.f64 lambda1 lambda2))

series35.0ms (0.2%)

Counts
4 → 88
Calls

36 calls:

TimeVariablePointExpression
3.0ms
lambda1
@-inf
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
2.0ms
lambda1
@inf
(sin.f64 (-.f64 lambda1 lambda2))
2.0ms
lambda1
@inf
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
2.0ms
lambda2
@inf
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
2.0ms
phi2
@inf
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))

rewrite67.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
671×prod-diff_binary64
268×log1p-udef_binary64
149×add-sqr-sqrt_binary64
148×*-un-lft-identity_binary64
148×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01353
127453
2360353
Stop Event
1×node limit
Counts
4 → 117
Calls
Call 1
Inputs
(cos.f64 (-.f64 lambda1 lambda2))
(sin.f64 (-.f64 lambda1 lambda2))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 1) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2)) (neg.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1)))) (fma.f64 (neg.f64 (sin.f64 (neg.f64 lambda2))) (sin.f64 lambda1) (*.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (-.f64 lambda1 lambda2)) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (-.f64 lambda1 lambda2)) (fma.f64 (neg.f64 (cos.f64 lambda1)) (sin.f64 lambda2) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (-.f64 lambda1 lambda2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (sqrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (neg.f64 (cos.f64 lambda1)) (sin.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (cos.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (neg.f64 (*.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (*.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 lambda2) (sin.f64 lambda1) (neg.f64 (*.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (*.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 lambda1) (cos.f64 lambda2) (neg.f64 (*.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (*.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (pow.f64 (cbrt.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2) (cbrt.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (sqrt.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))))

simplify62.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
967×fma-def_binary64
701×fma-neg_binary64
481×associate-*l*_binary64
468×associate-*r*_binary64
347×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01511685
14391561
212801457
347131457
Stop Event
1×node limit
Counts
205 → 191
Calls
Call 1
Inputs
(cos.f64 (neg.f64 lambda2))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (cos.f64 (neg.f64 lambda2))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (cos.f64 (neg.f64 lambda2)))))
(cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(cos.f64 lambda1)
(+.f64 (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) lambda2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) lambda2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 lambda1) (+.f64 (*.f64 (sin.f64 lambda1) lambda2) (*.f64 -1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(sin.f64 (neg.f64 lambda2))
(+.f64 (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2)))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (+.f64 (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2)))))
(sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(sin.f64 lambda1)
(+.f64 (sin.f64 lambda1) (*.f64 -1 (*.f64 lambda2 (cos.f64 lambda1))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (+.f64 (sin.f64 lambda1) (*.f64 -1 (*.f64 lambda2 (cos.f64 lambda1)))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (+.f64 (sin.f64 lambda1) (+.f64 (*.f64 -1 (*.f64 lambda2 (cos.f64 lambda1))) (*.f64 1/6 (*.f64 (pow.f64 lambda2 3) (cos.f64 lambda1))))))
(sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (cos.f64 phi1)))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (+.f64 (*.f64 1/24 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))) (cos.f64 phi1))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 -1/720 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 6))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (+.f64 (*.f64 1/24 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))) (cos.f64 phi1)))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1))
(+.f64 (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(+.f64 (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (+.f64 (cos.f64 phi1) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (*.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))))))
(+.f64 (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (+.f64 (cos.f64 phi1) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)))) (*.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (*.f64 (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi2)) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi2)) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
(+.f64 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(+.f64 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2))) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (pow.f64 lambda2 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(+.f64 (*.f64 -1/720 (pow.f64 phi1 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi1)))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi1)))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi1)))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi1)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))) (fma.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))) (fma.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))) (fma.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))) (fma.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
Outputs
(cos.f64 (neg.f64 lambda2))
(cos.f64 lambda2)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 (neg.f64 lambda2)))
(fma.f64 -1 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 lambda2))
(-.f64 (cos.f64 lambda2) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1))
(fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (cos.f64 (neg.f64 lambda2))))
(fma.f64 -1 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (fma.f64 -1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (cos.f64 lambda2)))
(-.f64 (fma.f64 -1/2 (*.f64 lambda1 (*.f64 (cos.f64 lambda2) lambda1)) (cos.f64 lambda2)) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1))
(fma.f64 (cos.f64 lambda2) (*.f64 lambda1 (*.f64 lambda1 -1/2)) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (cos.f64 (neg.f64 lambda2)))))
(fma.f64 1/6 (*.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (fma.f64 -1 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (fma.f64 -1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (cos.f64 lambda2))))
(fma.f64 1/6 (*.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (-.f64 (fma.f64 -1/2 (*.f64 lambda1 (*.f64 (cos.f64 lambda2) lambda1)) (cos.f64 lambda2)) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))
(fma.f64 lambda1 (sin.f64 lambda2) (fma.f64 (pow.f64 lambda1 3) (*.f64 -1/6 (sin.f64 lambda2)) (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 (*.f64 lambda1 -1/2)) (cos.f64 lambda2))))
(cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 lambda1)
(+.f64 (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) lambda2))
(+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) lambda2)))
(fma.f64 -1/2 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))))
(fma.f64 -1/2 (*.f64 lambda2 (*.f64 lambda2 (cos.f64 lambda1))) (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1)))
(fma.f64 (fma.f64 -1/2 (*.f64 lambda2 lambda2) 1) (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (+.f64 (cos.f64 lambda1) (+.f64 (*.f64 (sin.f64 lambda1) lambda2) (*.f64 -1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))))
(fma.f64 -1/2 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) (+.f64 (cos.f64 lambda1) (fma.f64 (sin.f64 lambda1) lambda2 (*.f64 -1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))))
(+.f64 (fma.f64 lambda2 (sin.f64 lambda1) (*.f64 (sin.f64 lambda1) (*.f64 (pow.f64 lambda2 3) -1/6))) (fma.f64 (*.f64 -1/2 (*.f64 lambda2 lambda2)) (cos.f64 lambda1) (cos.f64 lambda1)))
(fma.f64 (fma.f64 -1/2 (*.f64 lambda2 lambda2) 1) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (+.f64 lambda2 (*.f64 -1/6 (pow.f64 lambda2 3)))))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 lambda2 (neg.f64 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(sin.f64 (neg.f64 lambda2))
(neg.f64 (sin.f64 lambda2))
(+.f64 (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2)))
(fma.f64 (cos.f64 lambda2) lambda1 (neg.f64 (sin.f64 lambda2)))
(-.f64 (*.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (+.f64 (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2))))
(fma.f64 -1/2 (*.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 lambda1 lambda1)) (fma.f64 (cos.f64 lambda2) lambda1 (neg.f64 (sin.f64 lambda2))))
(fma.f64 -1/2 (*.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 lambda1 lambda1)) (-.f64 (*.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)))
(-.f64 (*.f64 lambda1 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (*.f64 1/2 (sin.f64 lambda2))))) (sin.f64 lambda2))
(fma.f64 lambda1 (+.f64 (*.f64 lambda1 (*.f64 1/2 (sin.f64 lambda2))) (cos.f64 lambda2)) (neg.f64 (sin.f64 lambda2)))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2)))))
(fma.f64 -1/2 (*.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 lambda1 lambda1)) (fma.f64 -1/6 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 3)) (fma.f64 (cos.f64 lambda2) lambda1 (neg.f64 (sin.f64 lambda2)))))
(fma.f64 -1/2 (*.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 lambda1 lambda1)) (-.f64 (fma.f64 -1/6 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 3)) (*.f64 (cos.f64 lambda2) lambda1)) (sin.f64 lambda2)))
(-.f64 (fma.f64 (*.f64 lambda1 lambda1) (*.f64 1/2 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (+.f64 (*.f64 (pow.f64 lambda1 3) -1/6) lambda1))) (sin.f64 lambda2))
(sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (-.f64 lambda1 lambda2))
(sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (-.f64 lambda1 lambda2))
(sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (-.f64 lambda1 lambda2))
(sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1))))
(neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (-.f64 lambda1 lambda2))
(sin.f64 lambda1)
(+.f64 (sin.f64 lambda1) (*.f64 -1 (*.f64 lambda2 (cos.f64 lambda1))))
(+.f64 (sin.f64 lambda1) (*.f64 (neg.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 lambda1)))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (+.f64 (sin.f64 lambda1) (*.f64 -1 (*.f64 lambda2 (cos.f64 lambda1)))))
(fma.f64 -1/2 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 lambda2)) (+.f64 (sin.f64 lambda1) (*.f64 (neg.f64 lambda2) (cos.f64 lambda1))))
(-.f64 (fma.f64 -1/2 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 lambda2)) (sin.f64 lambda1)) (*.f64 lambda2 (cos.f64 lambda1)))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 lambda2 lambda2) 1) (sin.f64 lambda1)) (*.f64 lambda2 (cos.f64 lambda1)))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 2))) (+.f64 (sin.f64 lambda1) (+.f64 (*.f64 -1 (*.f64 lambda2 (cos.f64 lambda1))) (*.f64 1/6 (*.f64 (pow.f64 lambda2 3) (cos.f64 lambda1))))))
(fma.f64 -1/2 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 lambda2)) (+.f64 (sin.f64 lambda1) (fma.f64 -1 (*.f64 lambda2 (cos.f64 lambda1)) (*.f64 (*.f64 1/6 (pow.f64 lambda2 3)) (cos.f64 lambda1)))))
(+.f64 (*.f64 (cos.f64 lambda1) (+.f64 (neg.f64 lambda2) (*.f64 1/6 (pow.f64 lambda2 3)))) (fma.f64 -1/2 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 lambda2)) (sin.f64 lambda1)))
(fma.f64 (cos.f64 lambda1) (-.f64 (*.f64 1/6 (pow.f64 lambda2 3)) lambda2) (*.f64 (fma.f64 -1/2 (*.f64 lambda2 lambda2) 1) (sin.f64 lambda1)))
(sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (-.f64 lambda1 lambda2))
(sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (-.f64 lambda1 lambda2))
(sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (-.f64 lambda1 lambda2))
(sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1))))
(sin.f64 (-.f64 lambda1 lambda2))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (cos.f64 phi1)))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (fma.f64 -1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi2 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (fma.f64 -1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 phi2 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 phi2 phi2)) 1) (cos.f64 (-.f64 lambda2 lambda1))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (+.f64 (*.f64 1/24 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))) (cos.f64 phi1))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (fma.f64 -1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi2 phi2)) (fma.f64 1/24 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)) (cos.f64 phi1))))
(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (fma.f64 -1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 phi2 phi2)) (fma.f64 1/24 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (pow.f64 phi2 4)) (cos.f64 phi1))))
(+.f64 (cos.f64 phi1) (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 (*.f64 -1/2 (*.f64 phi2 phi2)) (*.f64 1/24 (pow.f64 phi2 4))))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (*.f64 -1/720 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 6))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (+.f64 (*.f64 1/24 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))) (cos.f64 phi1)))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (fma.f64 -1/720 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 6)) (fma.f64 -1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi2 phi2)) (fma.f64 1/24 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)) (cos.f64 phi1)))))
(+.f64 (cos.f64 (-.f64 lambda2 lambda1)) (fma.f64 -1/720 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (pow.f64 phi2 6)) (fma.f64 -1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 phi2 phi2)) (fma.f64 1/24 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (pow.f64 phi2 4)) (cos.f64 phi1)))))
(+.f64 (cos.f64 phi1) (+.f64 (*.f64 (+.f64 (*.f64 -1/720 (pow.f64 phi2 6)) 1) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 (*.f64 -1/2 (*.f64 phi2 phi2)) (*.f64 1/24 (pow.f64 phi2 4))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1))
(fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1))
(fma.f64 (cos.f64 lambda2) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))))
(fma.f64 -1 (*.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1)))
(-.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 lambda1 (cos.f64 phi2))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))))
(+.f64 (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (+.f64 (cos.f64 phi1) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (*.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2)))))))
(fma.f64 -1 (*.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (*.f64 -1/2 (*.f64 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (cos.f64 phi2))))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 lambda1 (*.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 phi2))) (fma.f64 (neg.f64 (cos.f64 phi2)) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi1)))
(+.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (cos.f64 phi2) (*.f64 lambda1 (+.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (*.f64 -1/2 lambda1))))))
(+.f64 (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (+.f64 (cos.f64 phi1) (+.f64 (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)))) (*.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))))))
(fma.f64 -1 (*.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (fma.f64 1/6 (*.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (cos.f64 phi2)) (*.f64 -1/2 (*.f64 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (cos.f64 phi2)))))))
(+.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 phi2) (fma.f64 -1/2 (*.f64 (*.f64 lambda1 (*.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (*.f64 (*.f64 (*.f64 1/6 (cos.f64 phi2)) (pow.f64 lambda1 3)) (neg.f64 (sin.f64 lambda2))))) (fma.f64 (neg.f64 (cos.f64 phi2)) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi1)))
(+.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 (pow.f64 lambda1 3) (*.f64 -1/6 (sin.f64 lambda2)))))) (*.f64 (cos.f64 phi2) (*.f64 lambda1 (+.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (*.f64 -1/2 lambda1))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi2)) (cos.f64 phi1))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi2)) (cos.f64 phi1))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi2)) (cos.f64 phi1))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi2)) (cos.f64 phi1))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 phi2)))
(fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
(fma.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 phi2))))
(fma.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))))
(+.f64 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(fma.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2)) (fma.f64 -1/2 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 phi2)))))
(fma.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2)) (fma.f64 -1/2 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 (*.f64 lambda2 (cos.f64 phi2)))) (fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (fma.f64 lambda2 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (cos.f64 phi1)) (*.f64 (fma.f64 -1/2 (*.f64 lambda2 lambda2) 1) (*.f64 (cos.f64 lambda1) (cos.f64 phi2))))
(+.f64 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2))) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (pow.f64 lambda2 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(fma.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2)) (fma.f64 -1/6 (*.f64 (sin.f64 lambda1) (*.f64 (pow.f64 lambda2 3) (cos.f64 phi2))) (fma.f64 -1/2 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 phi2))))))
(fma.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2)) (fma.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (*.f64 (sin.f64 lambda1) (cos.f64 phi2))) (fma.f64 -1/2 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 (*.f64 lambda2 (cos.f64 phi2)))) (fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (cos.f64 phi1) (+.f64 (*.f64 (fma.f64 -1/2 (*.f64 lambda2 lambda2) 1) (*.f64 (cos.f64 lambda1) (cos.f64 phi2))) (*.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (+.f64 lambda2 (*.f64 -1/6 (pow.f64 lambda2 3))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(+.f64 1 (fma.f64 -1/2 (*.f64 phi1 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(+.f64 1 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (*.f64 -1/2 (*.f64 phi1 phi1))))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (fma.f64 -1/2 (*.f64 phi1 phi1) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 phi1 phi1) (fma.f64 1/24 (pow.f64 phi1 4) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(+.f64 (fma.f64 -1/2 (*.f64 phi1 phi1) (*.f64 1/24 (pow.f64 phi1 4))) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) 1))
(+.f64 1 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (fma.f64 -1/2 (*.f64 phi1 phi1) (*.f64 1/24 (pow.f64 phi1 4)))))
(+.f64 (*.f64 -1/720 (pow.f64 phi1 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(fma.f64 -1/720 (pow.f64 phi1 6) (+.f64 1 (fma.f64 -1/2 (*.f64 phi1 phi1) (fma.f64 1/24 (pow.f64 phi1 4) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))))
(+.f64 (fma.f64 -1/2 (*.f64 phi1 phi1) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (*.f64 1/24 (pow.f64 phi1 4)))) (fma.f64 -1/720 (pow.f64 phi1 6) 1))
(+.f64 1 (fma.f64 -1/720 (pow.f64 phi1 6) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (fma.f64 -1/2 (*.f64 phi1 phi1) (*.f64 1/24 (pow.f64 phi1 4))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi1)))
(atan2.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (cos.f64 phi2)) (fma.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (cos.f64 phi2) (cos.f64 phi1)))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1)))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi1)))
(atan2.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (cos.f64 phi2)) (fma.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (cos.f64 phi2) (cos.f64 phi1)))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1)))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi1)))
(atan2.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (cos.f64 phi2)) (fma.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (cos.f64 phi2) (cos.f64 phi1)))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1)))
(atan2.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (neg.f64 (+.f64 lambda2 (*.f64 -1 lambda1)))) (cos.f64 phi1)))
(atan2.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (cos.f64 phi2)) (fma.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (cos.f64 phi2) (cos.f64 phi1)))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))) (fma.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(atan2.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (cos.f64 phi2)) (fma.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (cos.f64 phi2) (cos.f64 phi1)))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))) (fma.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(atan2.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (cos.f64 phi2)) (fma.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (cos.f64 phi2) (cos.f64 phi1)))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))) (fma.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(atan2.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (cos.f64 phi2)) (fma.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (cos.f64 phi2) (cos.f64 phi1)))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1)))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))) (fma.f64 (cos.f64 phi2) (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)) (cos.f64 phi1)))
(atan2.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 lambda2 (neg.f64 lambda1)))) (cos.f64 phi2)) (fma.f64 (cos.f64 (+.f64 lambda2 (neg.f64 lambda1))) (cos.f64 phi2) (cos.f64 phi1)))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1)))

prune374.0ms (2.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New17417191
Fresh000
Picked101
Done000
Total17517192
Error
0.8b
Counts
192 → 17
Alt Table
StatusErrorProgram
1.5b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) (cos.f64 phi1))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi1))))
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 3))))
▶0.9b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi1))))
1.3b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
7.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
33.6b
(+.f64 lambda1 (exp.f64 (log.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
3.9b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (pow.f64 (cos.f64 phi1) 2)) (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))
6.3b
(+.f64 lambda1 (cbrt.f64 (pow.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3) (pow.f64 (cos.f64 phi1) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (-.f64 (pow.f64 (cos.f64 phi1) 2) (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))))
1.3b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 (*.f64 lambda1 -1/2)) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))) (cos.f64 phi1))))
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 2)))))
6.2b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (cbrt.f64 (pow.f64 (sin.f64 (-.f64 lambda1 lambda2)) 3))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
22.6b
(+.f64 lambda1 (-.f64 (exp.f64 (log1p.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1))
17.3b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sqrt.f64 (pow.f64 (sin.f64 (-.f64 lambda1 lambda2)) 2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
Compiler

Compiled 7032 to 1960 computations (72.1% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)
✓0.5b
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))
✓0.5b
(pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)
4.1b
(sin.f64 (-.f64 lambda1 lambda2))

series434.0ms (2.9%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
64.0ms
lambda2
@-inf
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))
64.0ms
lambda1
@-inf
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))
62.0ms
lambda2
@inf
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))
58.0ms
lambda1
@inf
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))
46.0ms
phi1
@inf
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))

rewrite34.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
288×add-sqr-sqrt_binary64
286×pow1_binary64
284×*-un-lft-identity_binary64
268×add-log-exp_binary64
268×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02497
156697
Stop Event
1×node limit
Counts
3 → 32
Calls
Call 1
Inputs
(pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))
(pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)) (sqrt.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 lambda1) 3) (pow.f64 (cos.f64 lambda2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3/2) (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)) (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))) (cbrt.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1)))) (cbrt.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))) (sqrt.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1)) (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))) (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (sqrt.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3/2) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)))))))

simplify111.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
360×fma-def_binary64
279×associate-*r*_binary64
278×associate-*l*_binary64
255×times-frac_binary64
198×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03046052
19965827
238215811
Stop Event
1×node limit
Counts
128 → 96
Calls
Call 1
Inputs
(pow.f64 (cos.f64 lambda2) 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (cos.f64 lambda2) 3)) (*.f64 -1/2 (pow.f64 (cos.f64 lambda2) 3))) (pow.f64 lambda1 2)) (pow.f64 (cos.f64 lambda2) 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (cos.f64 lambda2) 3)) (*.f64 -1/2 (pow.f64 (cos.f64 lambda2) 3))) (pow.f64 lambda1 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 lambda2) 3)) (+.f64 (*.f64 1/24 (pow.f64 (cos.f64 lambda2) 3)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 lambda2) 2)) (*.f64 1/12 (pow.f64 (cos.f64 lambda2) 2))) (cos.f64 lambda2)))) (pow.f64 lambda1 4)) (pow.f64 (cos.f64 lambda2) 3)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (cos.f64 lambda2) 3)) (*.f64 -1/2 (pow.f64 (cos.f64 lambda2) 3))) (pow.f64 lambda1 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 lambda2) 3)) (+.f64 (*.f64 1/24 (pow.f64 (cos.f64 lambda2) 3)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 lambda2) 2)) (*.f64 1/12 (pow.f64 (cos.f64 lambda2) 2))) (cos.f64 lambda2)))) (pow.f64 lambda1 4)) (+.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/360 (pow.f64 (cos.f64 lambda2) 2)) (*.f64 -1/24 (pow.f64 (cos.f64 lambda2) 2))) (cos.f64 lambda2)) (+.f64 (*.f64 -1/720 (pow.f64 (cos.f64 lambda2) 3)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 lambda2) 2)) (*.f64 1/12 (pow.f64 (cos.f64 lambda2) 2))) (cos.f64 lambda2))) (*.f64 -1/24 (pow.f64 (cos.f64 lambda2) 3))))) (pow.f64 lambda1 6)))))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(pow.f64 (cos.f64 lambda1) 3)
(+.f64 (*.f64 (pow.f64 lambda2 2) (+.f64 (*.f64 -1/2 (pow.f64 (cos.f64 lambda1) 3)) (*.f64 -1 (pow.f64 (cos.f64 lambda1) 3)))) (pow.f64 (cos.f64 lambda1) 3))
(+.f64 (*.f64 (pow.f64 lambda2 2) (+.f64 (*.f64 -1/2 (pow.f64 (cos.f64 lambda1) 3)) (*.f64 -1 (pow.f64 (cos.f64 lambda1) 3)))) (+.f64 (*.f64 (pow.f64 lambda2 4) (+.f64 (*.f64 (cos.f64 lambda1) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 lambda1) 2)) (*.f64 1/12 (pow.f64 (cos.f64 lambda1) 2)))) (+.f64 (*.f64 1/24 (pow.f64 (cos.f64 lambda1) 3)) (*.f64 1/2 (pow.f64 (cos.f64 lambda1) 3))))) (pow.f64 (cos.f64 lambda1) 3)))
(+.f64 (*.f64 (pow.f64 lambda2 6) (+.f64 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 (cos.f64 lambda1) 2)) (*.f64 -1/360 (pow.f64 (cos.f64 lambda1) 2))) (cos.f64 lambda1)) (+.f64 (*.f64 -1/720 (pow.f64 (cos.f64 lambda1) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 lambda1) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 lambda1) 2)) (*.f64 1/12 (pow.f64 (cos.f64 lambda1) 2))))) (*.f64 -1/24 (pow.f64 (cos.f64 lambda1) 3)))))) (+.f64 (*.f64 (pow.f64 lambda2 2) (+.f64 (*.f64 -1/2 (pow.f64 (cos.f64 lambda1) 3)) (*.f64 -1 (pow.f64 (cos.f64 lambda1) 3)))) (+.f64 (*.f64 (pow.f64 lambda2 4) (+.f64 (*.f64 (cos.f64 lambda1) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 lambda1) 2)) (*.f64 1/12 (pow.f64 (cos.f64 lambda1) 2)))) (+.f64 (*.f64 1/24 (pow.f64 (cos.f64 lambda1) 3)) (*.f64 1/2 (pow.f64 (cos.f64 lambda1) 3))))) (pow.f64 (cos.f64 lambda1) 3))))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (cos.f64 phi1)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (pow.f64 phi2 2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (cos.f64 phi1))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (pow.f64 phi2 2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (pow.f64 phi2 4)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))) (cos.f64 phi1)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (pow.f64 phi2 2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (pow.f64 phi2 6)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (pow.f64 phi2 4)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))) (cos.f64 phi1))))))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))
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(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))
(*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 lambda1 3))
(+.f64 (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 lambda1 3)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 lambda2) 3)) (*.f64 -1/3 (pow.f64 (sin.f64 lambda2) 3))) (pow.f64 lambda1 5)))
(+.f64 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (sin.f64 lambda2) 3)) (+.f64 (*.f64 1/18 (pow.f64 (sin.f64 lambda2) 3)) (*.f64 (+.f64 (*.f64 1/60 (pow.f64 (sin.f64 lambda2) 2)) (*.f64 1/36 (pow.f64 (sin.f64 lambda2) 2))) (sin.f64 lambda2)))) (pow.f64 lambda1 7)) (+.f64 (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 lambda1 3)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 lambda2) 3)) (*.f64 -1/3 (pow.f64 (sin.f64 lambda2) 3))) (pow.f64 lambda1 5))))
(+.f64 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (sin.f64 lambda2) 3)) (+.f64 (*.f64 1/18 (pow.f64 (sin.f64 lambda2) 3)) (*.f64 (+.f64 (*.f64 1/60 (pow.f64 (sin.f64 lambda2) 2)) (*.f64 1/36 (pow.f64 (sin.f64 lambda2) 2))) (sin.f64 lambda2)))) (pow.f64 lambda1 7)) (+.f64 (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 lambda1 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 lambda2) 3)) (*.f64 -1/3 (pow.f64 (sin.f64 lambda2) 3))) (pow.f64 lambda1 5)) (*.f64 (pow.f64 lambda1 9) (+.f64 (*.f64 -1/5040 (pow.f64 (sin.f64 lambda2) 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/360 (pow.f64 (sin.f64 lambda2) 2)) (*.f64 -1/2520 (pow.f64 (sin.f64 lambda2) 2))) (sin.f64 lambda2)) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/60 (pow.f64 (sin.f64 lambda2) 2)) (*.f64 1/36 (pow.f64 (sin.f64 lambda2) 2))) (sin.f64 lambda2))) (*.f64 -1/360 (pow.f64 (sin.f64 lambda2) 3)))))))))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3))
(+.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3)) (*.f64 (pow.f64 lambda2 5) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 lambda1) 3)) (*.f64 -1/3 (pow.f64 (sin.f64 lambda1) 3)))))
(+.f64 (*.f64 (pow.f64 lambda2 7) (+.f64 (*.f64 (sin.f64 lambda1) (+.f64 (*.f64 1/60 (pow.f64 (sin.f64 lambda1) 2)) (*.f64 1/36 (pow.f64 (sin.f64 lambda1) 2)))) (+.f64 (*.f64 1/120 (pow.f64 (sin.f64 lambda1) 3)) (*.f64 1/18 (pow.f64 (sin.f64 lambda1) 3))))) (+.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3)) (*.f64 (pow.f64 lambda2 5) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 lambda1) 3)) (*.f64 -1/3 (pow.f64 (sin.f64 lambda1) 3))))))
(+.f64 (*.f64 (pow.f64 lambda2 7) (+.f64 (*.f64 (sin.f64 lambda1) (+.f64 (*.f64 1/60 (pow.f64 (sin.f64 lambda1) 2)) (*.f64 1/36 (pow.f64 (sin.f64 lambda1) 2)))) (+.f64 (*.f64 1/120 (pow.f64 (sin.f64 lambda1) 3)) (*.f64 1/18 (pow.f64 (sin.f64 lambda1) 3))))) (+.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3)) (+.f64 (*.f64 (pow.f64 lambda2 9) (+.f64 (*.f64 (sin.f64 lambda1) (+.f64 (*.f64 -1/360 (pow.f64 (sin.f64 lambda1) 2)) (*.f64 -1/2520 (pow.f64 (sin.f64 lambda1) 2)))) (+.f64 (*.f64 -1/5040 (pow.f64 (sin.f64 lambda1) 3)) (+.f64 (*.f64 -1/360 (pow.f64 (sin.f64 lambda1) 3)) (*.f64 -1/6 (*.f64 (sin.f64 lambda1) (+.f64 (*.f64 1/60 (pow.f64 (sin.f64 lambda1) 2)) (*.f64 1/36 (pow.f64 (sin.f64 lambda1) 2))))))))) (*.f64 (pow.f64 lambda2 5) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 lambda1) 3)) (*.f64 -1/3 (pow.f64 (sin.f64 lambda1) 3)))))))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
Outputs
(pow.f64 (cos.f64 lambda2) 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (cos.f64 lambda2) 3)) (*.f64 -1/2 (pow.f64 (cos.f64 lambda2) 3))) (pow.f64 lambda1 2)) (pow.f64 (cos.f64 lambda2) 3))
(fma.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) -3/2) (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 lambda2) 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (cos.f64 lambda2) 3)) (*.f64 -1/2 (pow.f64 (cos.f64 lambda2) 3))) (pow.f64 lambda1 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 lambda2) 3)) (+.f64 (*.f64 1/24 (pow.f64 (cos.f64 lambda2) 3)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 lambda2) 2)) (*.f64 1/12 (pow.f64 (cos.f64 lambda2) 2))) (cos.f64 lambda2)))) (pow.f64 lambda1 4)) (pow.f64 (cos.f64 lambda2) 3)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) -3/2) (*.f64 lambda1 lambda1) (fma.f64 (fma.f64 1/2 (pow.f64 (cos.f64 lambda2) 3) (fma.f64 1/24 (pow.f64 (cos.f64 lambda2) 3) (*.f64 (cos.f64 lambda2) (*.f64 (pow.f64 (cos.f64 lambda2) 2) 1/3)))) (pow.f64 lambda1 4) (pow.f64 (cos.f64 lambda2) 3)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) -3/2) (*.f64 lambda1 lambda1) (fma.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) 1/3) (*.f64 (pow.f64 (cos.f64 lambda2) 3) 13/24)) (pow.f64 lambda1 4) (pow.f64 (cos.f64 lambda2) 3)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (cos.f64 lambda2) 3)) (*.f64 -1/2 (pow.f64 (cos.f64 lambda2) 3))) (pow.f64 lambda1 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 lambda2) 3)) (+.f64 (*.f64 1/24 (pow.f64 (cos.f64 lambda2) 3)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 lambda2) 2)) (*.f64 1/12 (pow.f64 (cos.f64 lambda2) 2))) (cos.f64 lambda2)))) (pow.f64 lambda1 4)) (+.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/360 (pow.f64 (cos.f64 lambda2) 2)) (*.f64 -1/24 (pow.f64 (cos.f64 lambda2) 2))) (cos.f64 lambda2)) (+.f64 (*.f64 -1/720 (pow.f64 (cos.f64 lambda2) 3)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 lambda2) 2)) (*.f64 1/12 (pow.f64 (cos.f64 lambda2) 2))) (cos.f64 lambda2))) (*.f64 -1/24 (pow.f64 (cos.f64 lambda2) 3))))) (pow.f64 lambda1 6)))))
(fma.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) -3/2) (*.f64 lambda1 lambda1) (+.f64 (fma.f64 (fma.f64 1/2 (pow.f64 (cos.f64 lambda2) 3) (fma.f64 1/24 (pow.f64 (cos.f64 lambda2) 3) (*.f64 (cos.f64 lambda2) (*.f64 (pow.f64 (cos.f64 lambda2) 2) 1/3)))) (pow.f64 lambda1 4) (pow.f64 (cos.f64 lambda2) 3)) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) -2/45) (cos.f64 lambda2) (fma.f64 -1/720 (pow.f64 (cos.f64 lambda2) 3) (fma.f64 -1/2 (*.f64 (cos.f64 lambda2) (*.f64 (pow.f64 (cos.f64 lambda2) 2) 1/3)) (*.f64 (pow.f64 (cos.f64 lambda2) 3) -1/24)))) (pow.f64 lambda1 6))))
(fma.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) -3/2) (*.f64 lambda1 lambda1) (fma.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) 1/3) (*.f64 (pow.f64 (cos.f64 lambda2) 3) 13/24)) (pow.f64 lambda1 4) (fma.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) -2/45) (fma.f64 (pow.f64 (cos.f64 lambda2) 3) -1/720 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) -1/24 (*.f64 -1/2 (*.f64 (pow.f64 (cos.f64 lambda2) 3) 1/3))))) (pow.f64 lambda1 6) (pow.f64 (cos.f64 lambda2) 3))))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(pow.f64 (cos.f64 lambda1) 3)
(+.f64 (*.f64 (pow.f64 lambda2 2) (+.f64 (*.f64 -1/2 (pow.f64 (cos.f64 lambda1) 3)) (*.f64 -1 (pow.f64 (cos.f64 lambda1) 3)))) (pow.f64 (cos.f64 lambda1) 3))
(fma.f64 (*.f64 lambda2 lambda2) (*.f64 (pow.f64 (cos.f64 lambda1) 3) -3/2) (pow.f64 (cos.f64 lambda1) 3))
(+.f64 (*.f64 (pow.f64 lambda2 2) (+.f64 (*.f64 -1/2 (pow.f64 (cos.f64 lambda1) 3)) (*.f64 -1 (pow.f64 (cos.f64 lambda1) 3)))) (+.f64 (*.f64 (pow.f64 lambda2 4) (+.f64 (*.f64 (cos.f64 lambda1) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 lambda1) 2)) (*.f64 1/12 (pow.f64 (cos.f64 lambda1) 2)))) (+.f64 (*.f64 1/24 (pow.f64 (cos.f64 lambda1) 3)) (*.f64 1/2 (pow.f64 (cos.f64 lambda1) 3))))) (pow.f64 (cos.f64 lambda1) 3)))
(fma.f64 (*.f64 lambda2 lambda2) (*.f64 (pow.f64 (cos.f64 lambda1) 3) -3/2) (fma.f64 (pow.f64 lambda2 4) (fma.f64 (cos.f64 lambda1) (*.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3) (*.f64 (pow.f64 (cos.f64 lambda1) 3) 13/24)) (pow.f64 (cos.f64 lambda1) 3)))
(fma.f64 (*.f64 lambda2 lambda2) (*.f64 (pow.f64 (cos.f64 lambda1) 3) -3/2) (fma.f64 (pow.f64 lambda2 4) (fma.f64 (pow.f64 (cos.f64 lambda1) 3) 13/24 (*.f64 (pow.f64 (cos.f64 lambda1) 3) 1/3)) (pow.f64 (cos.f64 lambda1) 3)))
(+.f64 (*.f64 (pow.f64 lambda2 6) (+.f64 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 (cos.f64 lambda1) 2)) (*.f64 -1/360 (pow.f64 (cos.f64 lambda1) 2))) (cos.f64 lambda1)) (+.f64 (*.f64 -1/720 (pow.f64 (cos.f64 lambda1) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 lambda1) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 lambda1) 2)) (*.f64 1/12 (pow.f64 (cos.f64 lambda1) 2))))) (*.f64 -1/24 (pow.f64 (cos.f64 lambda1) 3)))))) (+.f64 (*.f64 (pow.f64 lambda2 2) (+.f64 (*.f64 -1/2 (pow.f64 (cos.f64 lambda1) 3)) (*.f64 -1 (pow.f64 (cos.f64 lambda1) 3)))) (+.f64 (*.f64 (pow.f64 lambda2 4) (+.f64 (*.f64 (cos.f64 lambda1) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 lambda1) 2)) (*.f64 1/12 (pow.f64 (cos.f64 lambda1) 2)))) (+.f64 (*.f64 1/24 (pow.f64 (cos.f64 lambda1) 3)) (*.f64 1/2 (pow.f64 (cos.f64 lambda1) 3))))) (pow.f64 (cos.f64 lambda1) 3))))
(fma.f64 (pow.f64 lambda2 6) (fma.f64 (*.f64 (pow.f64 (cos.f64 lambda1) 2) -2/45) (cos.f64 lambda1) (fma.f64 -1/720 (pow.f64 (cos.f64 lambda1) 3) (fma.f64 -1/2 (*.f64 (cos.f64 lambda1) (*.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3)) (*.f64 -1/24 (pow.f64 (cos.f64 lambda1) 3))))) (fma.f64 (*.f64 lambda2 lambda2) (*.f64 (pow.f64 (cos.f64 lambda1) 3) -3/2) (fma.f64 (pow.f64 lambda2 4) (fma.f64 (cos.f64 lambda1) (*.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3) (*.f64 (pow.f64 (cos.f64 lambda1) 3) 13/24)) (pow.f64 (cos.f64 lambda1) 3))))
(fma.f64 (pow.f64 lambda2 6) (+.f64 (*.f64 (pow.f64 (cos.f64 lambda1) 3) -2/45) (fma.f64 -1/720 (pow.f64 (cos.f64 lambda1) 3) (fma.f64 -1/2 (*.f64 (pow.f64 (cos.f64 lambda1) 3) 1/3) (*.f64 -1/24 (pow.f64 (cos.f64 lambda1) 3))))) (fma.f64 (*.f64 lambda2 lambda2) (*.f64 (pow.f64 (cos.f64 lambda1) 3) -3/2) (fma.f64 (pow.f64 lambda2 4) (fma.f64 (pow.f64 (cos.f64 lambda1) 3) 13/24 (*.f64 (pow.f64 (cos.f64 lambda1) 3) 1/3)) (pow.f64 (cos.f64 lambda1) 3))))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (cos.f64 phi1)))
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(fma.f64 (pow.f64 lambda2 7) (fma.f64 (pow.f64 (sin.f64 lambda1) 3) 23/360 (*.f64 (pow.f64 (sin.f64 lambda1) 3) 2/45)) (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 -1/2 (pow.f64 lambda2 5)))))
(+.f64 (*.f64 (pow.f64 lambda2 7) (+.f64 (*.f64 (sin.f64 lambda1) (+.f64 (*.f64 1/60 (pow.f64 (sin.f64 lambda1) 2)) (*.f64 1/36 (pow.f64 (sin.f64 lambda1) 2)))) (+.f64 (*.f64 1/120 (pow.f64 (sin.f64 lambda1) 3)) (*.f64 1/18 (pow.f64 (sin.f64 lambda1) 3))))) (+.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3)) (+.f64 (*.f64 (pow.f64 lambda2 9) (+.f64 (*.f64 (sin.f64 lambda1) (+.f64 (*.f64 -1/360 (pow.f64 (sin.f64 lambda1) 2)) (*.f64 -1/2520 (pow.f64 (sin.f64 lambda1) 2)))) (+.f64 (*.f64 -1/5040 (pow.f64 (sin.f64 lambda1) 3)) (+.f64 (*.f64 -1/360 (pow.f64 (sin.f64 lambda1) 3)) (*.f64 -1/6 (*.f64 (sin.f64 lambda1) (+.f64 (*.f64 1/60 (pow.f64 (sin.f64 lambda1) 2)) (*.f64 1/36 (pow.f64 (sin.f64 lambda1) 2))))))))) (*.f64 (pow.f64 lambda2 5) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 lambda1) 3)) (*.f64 -1/3 (pow.f64 (sin.f64 lambda1) 3)))))))
(fma.f64 (pow.f64 lambda2 7) (fma.f64 (sin.f64 lambda1) (*.f64 (pow.f64 (sin.f64 lambda1) 2) 2/45) (*.f64 (pow.f64 (sin.f64 lambda1) 3) 23/360)) (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3) (fma.f64 (pow.f64 lambda2 9) (fma.f64 (sin.f64 lambda1) (*.f64 (pow.f64 (sin.f64 lambda1) 2) -1/315) (fma.f64 -1/5040 (pow.f64 (sin.f64 lambda1) 3) (fma.f64 -1/360 (pow.f64 (sin.f64 lambda1) 3) (*.f64 -1/6 (*.f64 (sin.f64 lambda1) (*.f64 (pow.f64 (sin.f64 lambda1) 2) 2/45)))))) (*.f64 (pow.f64 lambda2 5) (*.f64 (pow.f64 (sin.f64 lambda1) 3) -1/2)))))
(fma.f64 (pow.f64 lambda2 7) (fma.f64 (pow.f64 (sin.f64 lambda1) 3) 23/360 (*.f64 (pow.f64 (sin.f64 lambda1) 3) 2/45)) (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3) (fma.f64 (pow.f64 lambda2 5) (*.f64 -1/2 (pow.f64 (sin.f64 lambda1) 3)) (*.f64 (pow.f64 lambda2 9) (+.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) -1/315) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (sin.f64 lambda1) 3) 2/45)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) -1/336)))))))
(fma.f64 (pow.f64 lambda2 7) (fma.f64 (pow.f64 (sin.f64 lambda1) 3) 23/360 (*.f64 (pow.f64 (sin.f64 lambda1) 3) 2/45)) (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3) (fma.f64 (pow.f64 lambda2 9) (+.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) -1/315) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (sin.f64 lambda1) 3) 2/45)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) -1/336))) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 -1/2 (pow.f64 lambda2 5))))))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))

prune624.0ms (4.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1613164
Fresh51116
Picked101
Done000
Total16714181
Error
0.0b
Counts
181 → 14
Alt Table
StatusErrorProgram
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 2)))))
0.9b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))))
1.3b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
7.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
▶0.2b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (cos.f64 lambda2) (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))))
33.6b
(+.f64 lambda1 (exp.f64 (log.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
3.9b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (pow.f64 (cos.f64 phi1) 2)) (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))
6.3b
(+.f64 lambda1 (cbrt.f64 (pow.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3) (pow.f64 (cos.f64 phi1) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (-.f64 (pow.f64 (cos.f64 phi1) 2) (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi1))))
6.2b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (cbrt.f64 (pow.f64 (sin.f64 (-.f64 lambda1 lambda2)) 3))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
22.6b
(+.f64 lambda1 (-.f64 (exp.f64 (log1p.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1))
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi1))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))
Compiler

Compiled 15311 to 4400 computations (71.3% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))
0.3b
(pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)
0.5b
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))
0.5b
(pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)

series5.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
lambda1
@0
(*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))
1.0ms
lambda2
@0
(*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))
1.0ms
lambda1
@inf
(*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))
1.0ms
lambda2
@-inf
(*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))
1.0ms
lambda2
@inf
(*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))

rewrite38.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
775×pow1_binary64
716×log1p-expm1-u_binary64
716×expm1-log1p-u_binary64
77×add-sqr-sqrt_binary64
76×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114711
2193211
Stop Event
1×node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (+.f64 (cos.f64 (+.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2)))))))

simplify40.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
400×unswap-sqr_binary64
389×*-commutative_binary64
315×fma-neg_binary64
266×cancel-sign-sub-inv_binary64
245×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042460
1115435
2388401
31811383
44889383
Stop Event
1×node limit
Counts
41 → 32
Calls
Call 1
Inputs
(pow.f64 (cos.f64 lambda2) 2)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 2))) (pow.f64 (cos.f64 lambda2) 2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 2))) (+.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 4)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 2))) (+.f64 (pow.f64 (cos.f64 lambda2) 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 4))) (*.f64 -2/45 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 6))))))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(pow.f64 (cos.f64 lambda1) 2)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 2))) (pow.f64 (cos.f64 lambda1) 2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 2))) (+.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 1/3 (*.f64 (pow.f64 lambda2 4) (pow.f64 (cos.f64 lambda1) 2)))))
(+.f64 (*.f64 -2/45 (*.f64 (pow.f64 lambda2 6) (pow.f64 (cos.f64 lambda1) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 2))) (+.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 1/3 (*.f64 (pow.f64 lambda2 4) (pow.f64 (cos.f64 lambda1) 2))))))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
Outputs
(pow.f64 (cos.f64 lambda2) 2)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 2))) (pow.f64 (cos.f64 lambda2) 2))
(fma.f64 -1 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 lambda1 lambda1)) (pow.f64 (cos.f64 lambda2) 2))
(-.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 lambda1 lambda1)))
(*.f64 (+.f64 (*.f64 lambda1 (neg.f64 lambda1)) 1) (pow.f64 (cos.f64 lambda2) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (+.f64 1 (*.f64 lambda1 (neg.f64 lambda1))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 2))) (+.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 4)))))
(fma.f64 -1 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 lambda1 lambda1)) (+.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 4)))))
(-.f64 (fma.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 4)) (pow.f64 (cos.f64 lambda2) 2)) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 lambda1 lambda1)))
(+.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (+.f64 (*.f64 1/3 (pow.f64 lambda1 4)) (*.f64 lambda1 (neg.f64 lambda1)))))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 lambda1 4))) (*.f64 lambda1 lambda1)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 2))) (+.f64 (pow.f64 (cos.f64 lambda2) 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 4))) (*.f64 -2/45 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 6))))))
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 lambda1 lambda1)) (pow.f64 (cos.f64 lambda2) 2)) (fma.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 4)) (*.f64 -2/45 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 6)))))
(+.f64 (fma.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 4)) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 (pow.f64 lambda1 6) -2/45))) (-.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 lambda1 lambda1))))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 lambda1 4)) 1) (pow.f64 (cos.f64 lambda2) 2)) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (+.f64 (*.f64 -2/45 (pow.f64 lambda1 6)) (*.f64 lambda1 (neg.f64 lambda1)))))
(+.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (+.f64 (*.f64 -2/45 (pow.f64 lambda1 6)) (-.f64 (*.f64 1/3 (pow.f64 lambda1 4)) (*.f64 lambda1 lambda1)))))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(pow.f64 (cos.f64 lambda1) 2)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 2))) (pow.f64 (cos.f64 lambda1) 2))
(fma.f64 -1 (*.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 lambda2 lambda2)) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (+.f64 (neg.f64 (*.f64 lambda2 lambda2)) 1) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda1) 2) (fma.f64 (neg.f64 lambda2) lambda2 1))
(*.f64 (pow.f64 (cos.f64 lambda1) 2) (-.f64 1 (*.f64 lambda2 lambda2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 2))) (+.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 1/3 (*.f64 (pow.f64 lambda2 4) (pow.f64 (cos.f64 lambda1) 2)))))
(fma.f64 -1 (*.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 lambda2 lambda2)) (+.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 lambda2 4)))))
(-.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 lambda2 4)) 1) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 lambda2 (*.f64 lambda2 (pow.f64 (cos.f64 lambda1) 2))))
(*.f64 (pow.f64 (cos.f64 lambda1) 2) (-.f64 (fma.f64 1/3 (pow.f64 lambda2 4) 1) (*.f64 lambda2 lambda2)))
(+.f64 (*.f64 -2/45 (*.f64 (pow.f64 lambda2 6) (pow.f64 (cos.f64 lambda1) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 2))) (+.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 1/3 (*.f64 (pow.f64 lambda2 4) (pow.f64 (cos.f64 lambda1) 2))))))
(fma.f64 -2/45 (*.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 lambda2 6)) (fma.f64 -1 (*.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 lambda2 lambda2)) (+.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 lambda2 4))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 lambda2 4)) 1) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (cos.f64 lambda1) 2) (+.f64 (*.f64 -2/45 (pow.f64 lambda2 6)) (neg.f64 (*.f64 lambda2 lambda2)))))
(fma.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 -2/45 (pow.f64 lambda2 6)) (*.f64 (pow.f64 (cos.f64 lambda1) 2) (-.f64 (fma.f64 1/3 (pow.f64 lambda2 4) 1) (*.f64 lambda2 lambda2))))
(*.f64 (pow.f64 (cos.f64 lambda1) 2) (+.f64 (fma.f64 1/3 (pow.f64 lambda2 4) 1) (fma.f64 -2/45 (pow.f64 lambda2 6) (neg.f64 (*.f64 lambda2 lambda2)))))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))

prune488.0ms (3.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1271128
Fresh11213
Picked101
Done000
Total12913142
Error
0.0b
Counts
142 → 13
Alt Table
StatusErrorProgram
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 2)))))
▶0.9b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))))
1.3b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
7.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
6.3b
(+.f64 lambda1 (cbrt.f64 (pow.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3) (pow.f64 (cos.f64 phi1) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (-.f64 (pow.f64 (cos.f64 phi1) 2) (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi1))))
6.2b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (cbrt.f64 (pow.f64 (sin.f64 (-.f64 lambda1 lambda2)) 3))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
22.6b
(+.f64 lambda1 (-.f64 (exp.f64 (log1p.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1))
4.5b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (cos.f64 lambda2) (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (expm1.f64 (log1p.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi1))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))
33.6b
(+.f64 lambda1 (exp.f64 (log.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
Compiler

Compiled 12628 to 3999 computations (68.3% saved)

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(pow.f64 (sin.f64 lambda2) 3)
✓0.4b
(pow.f64 (cos.f64 lambda1) 3)
✓0.5b
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))
4.1b
(sin.f64 (-.f64 lambda1 lambda2))

series401.0ms (2.7%)

Counts
3 → 48
Calls

18 calls:

TimeVariablePointExpression
60.0ms
lambda2
@inf
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))
57.0ms
lambda1
@inf
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))
56.0ms
lambda1
@-inf
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))
51.0ms
lambda2
@-inf
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))
45.0ms
phi2
@inf
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))

rewrite47.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
380×pow1_binary64
354×add-log-exp_binary64
354×log1p-expm1-u_binary64
354×expm1-log1p-u_binary64
349×add-cube-cbrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03492
177592
Stop Event
1×node limit
Counts
3 → 31
Calls
Call 1
Inputs
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))
(pow.f64 (cos.f64 lambda1) 3)
(pow.f64 (sin.f64 lambda2) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 phi1) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 2) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)) (*.f64 (sin.f64 lambda1) (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda2)) (cos.f64 lambda1)))) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 phi1) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 2) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)) (*.f64 (sin.f64 lambda1) (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda2)) (cos.f64 lambda1)))) (cos.f64 phi2))))) (cbrt.f64 (+.f64 (cos.f64 phi1) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 2) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)) (*.f64 (sin.f64 lambda1) (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda2)) (cos.f64 lambda1)))) (cos.f64 phi2)))))) (cbrt.f64 (+.f64 (cos.f64 phi1) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 2) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)) (*.f64 (sin.f64 lambda1) (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda2)) (cos.f64 lambda1)))) (cos.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 2) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)) (*.f64 (sin.f64 lambda1) (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda2)) (cos.f64 lambda1)))) (cos.f64 phi2))))) (sqrt.f64 (+.f64 (cos.f64 phi1) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 2) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)) (*.f64 (sin.f64 lambda1) (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda2)) (cos.f64 lambda1)))) (cos.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 phi1) 3) (pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 2) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)) (*.f64 (sin.f64 lambda1) (*.f64 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simplify80.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
838×fma-def_binary64
284×times-frac_binary64
204×distribute-rgt-in_binary64
191×distribute-lft-in_binary64
117×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01984411
16444363
220853966
Stop Event
1×node limit
Counts
79 → 79
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))
(+.f64 (*.f64 -1/720 (pow.f64 phi1 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
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(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 lambda1 2)))
(+.f64 (*.f64 7/8 (pow.f64 lambda1 4)) (+.f64 1 (*.f64 -3/2 (pow.f64 lambda1 2))))
(+.f64 (*.f64 7/8 (pow.f64 lambda1 4)) (+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 lambda1 2)) (*.f64 -61/240 (pow.f64 lambda1 6)))))
(pow.f64 lambda2 3)
(+.f64 (pow.f64 lambda2 3) (*.f64 -1/2 (pow.f64 lambda2 5)))
(+.f64 (*.f64 13/120 (pow.f64 lambda2 7)) (+.f64 (pow.f64 lambda2 3) (*.f64 -1/2 (pow.f64 lambda2 5))))
(+.f64 (*.f64 13/120 (pow.f64 lambda2 7)) (+.f64 (*.f64 -41/3024 (pow.f64 lambda2 9)) (+.f64 (pow.f64 lambda2 3) (*.f64 -1/2 (pow.f64 lambda2 5)))))
Outputs
(+.f64 1 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 1 (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (cos.f64 phi2))))
(+.f64 1 (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (cos.f64 lambda1))) (cos.f64 phi2))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (cos.f64 phi2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(+.f64 1 (fma.f64 -1/2 (*.f64 phi1 phi1) (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (cos.f64 phi2)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 phi1 phi1) (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (cos.f64 lambda1))) (cos.f64 phi2)))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (cos.f64 phi2) (fma.f64 -1/2 (*.f64 phi1 phi1) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))
(+.f64 1 (fma.f64 -1/2 (*.f64 phi1 phi1) (fma.f64 1/24 (pow.f64 phi1 4) (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (cos.f64 phi2))))))
(+.f64 1 (fma.f64 -1/2 (*.f64 phi1 phi1) (fma.f64 1/24 (pow.f64 phi1 4) (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (cos.f64 lambda1))) (cos.f64 phi2))))))
(+.f64 1 (fma.f64 -1/2 (*.f64 phi1 phi1) (fma.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (cos.f64 phi2) (*.f64 1/24 (pow.f64 phi1 4)))))
(+.f64 (*.f64 -1/720 (pow.f64 phi1 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))))
(fma.f64 -1/720 (pow.f64 phi1 6) (+.f64 1 (fma.f64 -1/2 (*.f64 phi1 phi1) (fma.f64 1/24 (pow.f64 phi1 4) (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (cos.f64 phi2)))))))
(+.f64 (fma.f64 -1/2 (*.f64 phi1 phi1) (fma.f64 1/24 (pow.f64 phi1 4) (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (cos.f64 lambda1))) (cos.f64 phi2))))) (fma.f64 -1/720 (pow.f64 phi1 6) 1))
(+.f64 (fma.f64 -1/2 (*.f64 phi1 phi1) (fma.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (cos.f64 phi2) (*.f64 1/24 (pow.f64 phi1 4)))) (fma.f64 -1/720 (pow.f64 phi1 6) 1))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (cos.f64 phi2))) (cos.f64 phi1))
(+.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (cos.f64 lambda1))) (cos.f64 phi2))) (cos.f64 phi1))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (cos.f64 phi2))) (cos.f64 phi1))
(+.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (cos.f64 lambda1))) (cos.f64 phi2))) (cos.f64 phi1))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (cos.f64 phi2))) (cos.f64 phi1))
(+.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 lambda2)) (cos.f64 lambda1))) (cos.f64 phi2))) (cos.f64 phi1))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
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1
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(fma.f64 -3/2 (*.f64 lambda1 lambda1) 1)
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(fma.f64 7/8 (pow.f64 lambda1 4) (+.f64 1 (*.f64 -3/2 (*.f64 lambda1 lambda1))))
(fma.f64 7/8 (pow.f64 lambda1 4) (fma.f64 -3/2 (*.f64 lambda1 lambda1) 1))
(fma.f64 lambda1 (*.f64 lambda1 -3/2) (fma.f64 7/8 (pow.f64 lambda1 4) 1))
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(fma.f64 7/8 (pow.f64 lambda1 4) (+.f64 1 (fma.f64 -3/2 (*.f64 lambda1 lambda1) (*.f64 -61/240 (pow.f64 lambda1 6)))))
(+.f64 (fma.f64 -3/2 (*.f64 lambda1 lambda1) (*.f64 -61/240 (pow.f64 lambda1 6))) (fma.f64 7/8 (pow.f64 lambda1 4) 1))
(fma.f64 7/8 (pow.f64 lambda1 4) (fma.f64 lambda1 (*.f64 lambda1 -3/2) (fma.f64 -61/240 (pow.f64 lambda1 6) 1)))
(pow.f64 lambda2 3)
(+.f64 (pow.f64 lambda2 3) (*.f64 -1/2 (pow.f64 lambda2 5)))
(fma.f64 -1/2 (pow.f64 lambda2 5) (pow.f64 lambda2 3))
(+.f64 (*.f64 13/120 (pow.f64 lambda2 7)) (+.f64 (pow.f64 lambda2 3) (*.f64 -1/2 (pow.f64 lambda2 5))))
(fma.f64 13/120 (pow.f64 lambda2 7) (+.f64 (pow.f64 lambda2 3) (*.f64 -1/2 (pow.f64 lambda2 5))))
(fma.f64 13/120 (pow.f64 lambda2 7) (fma.f64 -1/2 (pow.f64 lambda2 5) (pow.f64 lambda2 3)))
(fma.f64 -1/2 (pow.f64 lambda2 5) (fma.f64 13/120 (pow.f64 lambda2 7) (pow.f64 lambda2 3)))
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(fma.f64 13/120 (pow.f64 lambda2 7) (fma.f64 -41/3024 (pow.f64 lambda2 9) (+.f64 (pow.f64 lambda2 3) (*.f64 -1/2 (pow.f64 lambda2 5)))))
(fma.f64 13/120 (pow.f64 lambda2 7) (fma.f64 -41/3024 (pow.f64 lambda2 9) (fma.f64 -1/2 (pow.f64 lambda2 5) (pow.f64 lambda2 3))))
(fma.f64 -41/3024 (pow.f64 lambda2 9) (fma.f64 -1/2 (pow.f64 lambda2 5) (fma.f64 13/120 (pow.f64 lambda2 7) (pow.f64 lambda2 3))))

prune508.0ms (3.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1470147
Fresh01212
Picked011
Done000
Total14713160
Error
0.0b
Counts
160 → 13
Alt Table
StatusErrorProgram
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 2)))))
✓0.9b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))))
1.3b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
7.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
6.3b
(+.f64 lambda1 (cbrt.f64 (pow.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3) (pow.f64 (cos.f64 phi1) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (-.f64 (pow.f64 (cos.f64 phi1) 2) (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi1))))
6.2b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (cbrt.f64 (pow.f64 (sin.f64 (-.f64 lambda1 lambda2)) 3))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
22.6b
(+.f64 lambda1 (-.f64 (exp.f64 (log1p.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1))
4.5b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (cos.f64 lambda2) (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (expm1.f64 (log1p.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi1))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))
33.6b
(+.f64 lambda1 (exp.f64 (log.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
Compiler

Compiled 13074 to 5257 computations (59.8% saved)

regimes491.0ms (3.3%)

Accuracy

Total 0.1b remaining (33.6%)

Threshold costs 0.1b (33.6%)

Counts
129 → 1
Compiler

Compiled 5033 to 1196 computations (76.2% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Rules
11×*-commutative_binary64
10×+-commutative_binary64
6×sub-neg_binary64
5×neg-sub0_binary64
5×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031105
153105
270105
379105
484105
585105
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (cos.f64 lambda2) (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (+.f64 (*.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))))
Outputs
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (cos.f64 lambda2) (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (+.f64 (*.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (neg.f64 (sin.f64 lambda2))))) (+.f64 (*.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))) (cos.f64 phi1))))

end322.0ms (2.2%)

Stop Event
1×fuel
Compiler

Compiled 694 to 355 computations (48.8% saved)

Profiling

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