Details

Time bar (total: 24.1s)

analyze4.2s (17.5%)

Algorithm
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
0%99.8%0.2%9
0%99.8%0.2%10
0.8%99%0.2%11
1.2%98.6%0.2%12
1.8%98%0.2%13
2%97.7%0.2%14
Compiler

Compiled 25 to 18 computations (28% saved)

sample10.3s (42.8%)

Results
7.9s5604×body1024valid
1.3s1526×body512valid
796.0ms269×body2048valid
294.0ms533×body256valid
100.0ms324×body128valid
3.0msbody1024invalid
Compiler

Compiled 50 to 36 computations (28% saved)

preprocess65.0ms (0.3%)

Algorithm
egg-herbie
Rules
1299×fma-def_binary64
458×fma-neg_binary64
236×cancel-sign-sub-inv_binary64
181×distribute-rgt-in_binary64
160×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092319
1181319
2307319
3402319
4466319
5670319
6894319
71289319
82073319
93037319
103654319
114561319
055
155
Stop Event
unsound
node limit
Calls
Call 1
Inputs
0
1
2
3
4
Outputs
0
1
2
1
3
4
3
Call 2
Inputs
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 R lambda2))))) lambda1)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 R))))) lambda2)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 R) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 R) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) phi1)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 R)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 R)) (cos.f64 (-.f64 lambda1 lambda2))))) phi2)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 phi2)) (cos.f64 (-.f64 phi1 lambda2))))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 lambda1)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 phi2 lambda2))))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 phi1))))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 lambda2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi2))))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
Outputs
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(*.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 R lambda2))))) lambda1)
(*.f64 lambda1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 R lambda2)))))))
(*.f64 lambda1 (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 R lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 lambda1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 R)))))))
(*.f64 lambda1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 R)))))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 R))))) lambda2)
(*.f64 lambda2 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 R)))))))
(*.f64 lambda2 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 R lambda1)))))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 R) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 R) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) phi1)
(*.f64 phi1 (acos.f64 (fma.f64 (sin.f64 R) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 R))))))
(*.f64 phi1 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 R)) (*.f64 (sin.f64 phi2) (sin.f64 R)))))
(*.f64 phi1 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 R) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 R))))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 R)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 R)) (cos.f64 (-.f64 lambda1 lambda2))))) phi2)
(*.f64 phi2 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 R) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 R))))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(*.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 phi2)) (cos.f64 (-.f64 phi1 lambda2))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 lambda1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 (-.f64 phi1 lambda2))))))
(*.f64 R (acos.f64 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 (-.f64 phi1 lambda2)) (*.f64 (sin.f64 phi2) (sin.f64 lambda1)))))
(*.f64 R (acos.f64 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 (-.f64 lambda2 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 lambda1)))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 lambda1) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 (-.f64 lambda2 phi1))))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 lambda1)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 phi2 lambda2))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 lambda1) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 phi2 lambda2))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 lambda2)))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 lambda1) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 lambda2 phi2))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 lambda1) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 (-.f64 phi2 lambda2)))))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 phi1))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 phi1)))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 phi1)))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 phi1 lambda1)))))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 lambda2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi2))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 (-.f64 lambda1 phi2)))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 phi2 lambda1)))))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(*.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
Symmetry

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify11.0ms (0%)

Algorithm
egg-herbie
Rules
47×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01829
12829
24429
35729
46729
58529
612329
716029
820629
924329
1026929
1127129
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
Outputs
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
16.4b
Counts
3 → 2
Alt Table
StatusErrorProgram
16.4b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)
16.4b
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
Compiler

Compiled 136 to 89 computations (34.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)
0.2b
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))
0.3b
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
3.7b
(cos.f64 (-.f64 lambda2 lambda1))

series70.0ms (0.3%)

Counts
4 → 164
Calls

45 calls:

TimeVariablePointExpression
5.0ms
phi1
@-inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))
3.0ms
lambda2
@-inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))
3.0ms
lambda2
@inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))
3.0ms
lambda1
@inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))
3.0ms
phi2
@-inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))

rewrite71.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
355×log1p-udef_binary64
197×add-sqr-sqrt_binary64
195×*-un-lft-identity_binary64
195×pow1_binary64
181×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01777
136277
2484477
Stop Event
node limit
Counts
4 → 81
Calls
Call 1
Inputs
(cos.f64 (-.f64 lambda2 lambda1))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 1) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 lambda2) (cos.f64 (neg.f64 lambda1))) (*.f64 (sin.f64 lambda2) (sin.f64 (neg.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (-.f64 lambda2 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2) (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (-.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda2 lambda1))))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (cos.f64 (-.f64 lambda2 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi2)) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) (pow.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 3) (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))))))
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simplify92.0ms (0.4%)

Algorithm
egg-herbie
Rules
573×cancel-sign-sub-inv_binary64
570×fma-def_binary64
444×*-commutative_binary64
333×sub-neg_binary64
248×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01364331
14384272
214554154
345824154
Stop Event
node limit
Counts
245 → 133
Calls
Call 1
Inputs
(cos.f64 (neg.f64 lambda1))
(-.f64 (cos.f64 (neg.f64 lambda1)) (*.f64 lambda2 (sin.f64 (neg.f64 lambda1))))
(-.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))) (*.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (cos.f64 (neg.f64 lambda1))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))) (*.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))
(cos.f64 lambda2)
(+.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 lambda2))
(-.f64 (+.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 lambda2)) (*.f64 1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))
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(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
Outputs
(cos.f64 (neg.f64 lambda1))
(cos.f64 lambda1)
(-.f64 (cos.f64 (neg.f64 lambda1)) (*.f64 lambda2 (sin.f64 (neg.f64 lambda1))))
(-.f64 (cos.f64 lambda1) (*.f64 lambda2 (neg.f64 (sin.f64 lambda1))))
(+.f64 (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) lambda2))
(fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))
(-.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))) (*.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))
(-.f64 (cos.f64 lambda1) (fma.f64 1/2 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) (*.f64 lambda2 (neg.f64 (sin.f64 lambda1)))))
(+.f64 (-.f64 (cos.f64 lambda1) (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 lambda1) 1/2))) (*.f64 (sin.f64 lambda1) lambda2))
(+.f64 (cos.f64 lambda1) (fma.f64 lambda2 (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (*.f64 (*.f64 lambda2 lambda2) -1/2))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (cos.f64 (neg.f64 lambda1))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))) (*.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))
(-.f64 (fma.f64 1/6 (*.f64 (neg.f64 (sin.f64 lambda1)) (pow.f64 lambda2 3)) (cos.f64 lambda1)) (fma.f64 1/2 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) (*.f64 lambda2 (neg.f64 (sin.f64 lambda1)))))
(fma.f64 1/6 (*.f64 (neg.f64 (sin.f64 lambda1)) (pow.f64 lambda2 3)) (+.f64 (-.f64 (cos.f64 lambda1) (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 lambda1) 1/2))) (*.f64 (sin.f64 lambda1) lambda2)))
(+.f64 (fma.f64 (neg.f64 (sin.f64 lambda1)) (*.f64 1/6 (pow.f64 lambda2 3)) (cos.f64 lambda1)) (fma.f64 lambda2 (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (*.f64 (*.f64 lambda2 lambda2) -1/2))))
(+.f64 (cos.f64 lambda1) (-.f64 (fma.f64 lambda2 (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (*.f64 (*.f64 lambda2 lambda2) -1/2))) (*.f64 (sin.f64 lambda1) (*.f64 1/6 (pow.f64 lambda2 3)))))
(cos.f64 lambda2)
(+.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 lambda2))
(fma.f64 (sin.f64 lambda2) lambda1 (cos.f64 lambda2))
(fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))
(-.f64 (+.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 lambda2)) (*.f64 1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))
(-.f64 (fma.f64 (sin.f64 lambda2) lambda1 (cos.f64 lambda2)) (*.f64 1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1))))
(+.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) (*.f64 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) -1/2))
(fma.f64 lambda1 (sin.f64 lambda2) (*.f64 (+.f64 (*.f64 (*.f64 lambda1 lambda1) -1/2) 1) (cos.f64 lambda2)))
(-.f64 (+.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 lambda2)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (*.f64 1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))
(-.f64 (fma.f64 (sin.f64 lambda2) lambda1 (cos.f64 lambda2)) (fma.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (*.f64 1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)))))
(-.f64 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) (fma.f64 1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (*.f64 (pow.f64 lambda1 3) (*.f64 1/6 (sin.f64 lambda2)))))
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 lambda1 lambda1) -1/2) 1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda2) (-.f64 lambda1 (*.f64 1/6 (pow.f64 lambda1 3)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
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(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) R)

prune173.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New12013133
Fresh101
Picked101
Done000
Total12213135
Error
2.1b
Counts
135 → 13
Alt Table
StatusErrorProgram
39.0b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))) 2))) R)
16.6b
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))))) R)
39.6b
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R)) 2)
36.3b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 lambda2)) (*.f64 1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))))) R)
17.0b
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R)) 3)
16.6b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) 1) R)
2.3b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
2.3b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
16.6b
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 2) R)
16.6b
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R)
44.4b
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R) 3))
2.3b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) R)
53.6b
(pow.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R) 3) 1/3)
Compiler

Compiled 4574 to 1547 computations (66.2% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
0.2b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
0.2b
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
0.2b
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))

series116.0ms (0.5%)

Counts
4 → 180
Calls

45 calls:

TimeVariablePointExpression
7.0ms
lambda1
@inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
7.0ms
phi2
@inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
6.0ms
phi1
@-inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
6.0ms
phi1
@inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
6.0ms
phi2
@-inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))

rewrite38.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
227×add-sqr-sqrt_binary64
226×*-un-lft-identity_binary64
226×pow1_binary64
207×add-exp-log_binary64
207×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021109
142779
Stop Event
node limit
Counts
4 → 75
Calls
Call 1
Inputs
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) (/.f64 (cos.f64 (+.f64 lambda2 lambda1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 lambda2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))) (pow.f64 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simplify99.0ms (0.4%)

Algorithm
egg-herbie
Rules
401×fma-neg_binary64
349×associate-*r*_binary64
322×distribute-rgt-neg-in_binary64
315×associate--l+_binary64
304×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02056296
16746240
224976059
Stop Event
node limit
Counts
255 → 132
Calls
Call 1
Inputs
(*.f64 (sin.f64 lambda1) lambda2)
(-.f64 (*.f64 (sin.f64 lambda1) lambda2) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5))) (*.f64 (sin.f64 lambda1) lambda2)) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5))) (*.f64 (sin.f64 lambda1) lambda2)) (+.f64 (*.f64 1/5040 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 7))) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)))))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda2) lambda1)
(-.f64 (*.f64 (sin.f64 lambda2) lambda1) (*.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (*.f64 (sin.f64 lambda2) lambda1)) (*.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (*.f64 (sin.f64 lambda2) lambda1)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (*.f64 1/5040 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 7)))))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
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(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
Outputs
(*.f64 (sin.f64 lambda1) lambda2)
(-.f64 (*.f64 (sin.f64 lambda1) lambda2) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(+.f64 (*.f64 (sin.f64 lambda1) lambda2) (*.f64 -1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(fma.f64 (sin.f64 lambda1) lambda2 (*.f64 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) -1/6))
(*.f64 (sin.f64 lambda1) (-.f64 lambda2 (*.f64 1/6 (pow.f64 lambda2 3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5))) (*.f64 (sin.f64 lambda1) lambda2)) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(+.f64 (fma.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5)) (*.f64 (sin.f64 lambda1) lambda2)) (*.f64 -1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(fma.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5)) (fma.f64 (sin.f64 lambda1) lambda2 (*.f64 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) -1/6)))
(fma.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5)) (*.f64 (sin.f64 lambda1) (-.f64 lambda2 (*.f64 1/6 (pow.f64 lambda2 3)))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5))) (*.f64 (sin.f64 lambda1) lambda2)) (+.f64 (*.f64 1/5040 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 7))) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)))))
(-.f64 (fma.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5)) (*.f64 (sin.f64 lambda1) lambda2)) (fma.f64 1/5040 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 7)) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)))))
(-.f64 (fma.f64 (sin.f64 lambda1) lambda2 (*.f64 (*.f64 1/120 (pow.f64 lambda2 5)) (sin.f64 lambda1))) (fma.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) (*.f64 (pow.f64 lambda2 7) (*.f64 (sin.f64 lambda1) 1/5040))))
(+.f64 (*.f64 (sin.f64 lambda1) (-.f64 lambda2 (*.f64 1/6 (pow.f64 lambda2 3)))) (*.f64 (sin.f64 lambda1) (-.f64 (*.f64 1/120 (pow.f64 lambda2 5)) (*.f64 1/5040 (pow.f64 lambda2 7)))))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda2) lambda1)
(*.f64 lambda1 (sin.f64 lambda2))
(-.f64 (*.f64 (sin.f64 lambda2) lambda1) (*.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(fma.f64 lambda1 (sin.f64 lambda2) (*.f64 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) -1/6))
(*.f64 (sin.f64 lambda2) (+.f64 (*.f64 -1/6 (pow.f64 lambda1 3)) lambda1))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (*.f64 (sin.f64 lambda2) lambda1)) (*.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(+.f64 (fma.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5)) (*.f64 lambda1 (sin.f64 lambda2))) (*.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(fma.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5)) (fma.f64 lambda1 (sin.f64 lambda2) (*.f64 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) -1/6)))
(fma.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5)) (*.f64 (sin.f64 lambda2) (+.f64 (*.f64 -1/6 (pow.f64 lambda1 3)) lambda1)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (*.f64 (sin.f64 lambda2) lambda1)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (*.f64 1/5040 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 7)))))
(-.f64 (fma.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5)) (*.f64 lambda1 (sin.f64 lambda2))) (fma.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (*.f64 (*.f64 1/5040 (sin.f64 lambda2)) (pow.f64 lambda1 7))))
(+.f64 (fma.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5)) (fma.f64 lambda1 (sin.f64 lambda2) (*.f64 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) -1/6))) (*.f64 -1/5040 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 7))))
(+.f64 (*.f64 (sin.f64 lambda2) (+.f64 lambda1 (*.f64 (pow.f64 lambda1 5) 1/120))) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 -1/6 (pow.f64 lambda1 3)) (*.f64 1/5040 (pow.f64 lambda1 7)))))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
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(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))

prune184.0ms (0.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1302132
Fresh21012
Picked011
Done000
Total13213145
Error
2.1b
Counts
145 → 13
Alt Table
StatusErrorProgram
39.0b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))) 2))) R)
16.6b
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))))) R)
2.3b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)))))) R)
44.4b
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R) 3))
39.6b
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R)) 2)
36.3b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (+.f64 (*.f64 (sin.f64 lambda2) lambda1) (cos.f64 lambda2)) (*.f64 1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))))) R)
17.0b
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R)) 3)
16.6b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) 1) R)
16.6b
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 2) R)
16.6b
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) R)
2.3b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))) R)
53.6b
(pow.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R) 3) 1/3)
2.3b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
Compiler

Compiled 5119 to 1771 computations (65.4% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1)))))
0.2b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))) R)
0.2b
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1)))))))
2.3b
(log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1)))

series1.8s (7.5%)

Counts
4 → 180
Calls

45 calls:

TimeVariablePointExpression
152.0ms
lambda2
@inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1)))))
151.0ms
lambda2
@-inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1)))))
151.0ms
lambda2
@inf
(log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1)))
150.0ms
lambda2
@-inf
(log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1)))
145.0ms
lambda1
@-inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1)))))

rewrite41.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
240×add-sqr-sqrt_binary64
240×pow1_binary64
239×*-un-lft-identity_binary64
221×add-log-exp_binary64
219×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023109
1459109
Stop Event
node limit
Counts
4 → 75
Calls
Call 1
Inputs
(log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1)))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1)))))))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))) R)
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 lambda1)) (sin.f64 lambda2)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 lambda1)) (sin.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 lambda1)) (sin.f64 lambda2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 lambda1)) (sin.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 lambda1) (sin.f64 lambda2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 2) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (sqrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sin.f64 lambda2)) (sqrt.f64 (sin.f64 lambda1))) (*.f64 (sqrt.f64 (sin.f64 lambda2)) (sqrt.f64 (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 lambda2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sin.f64 lambda2)) (log.f64 (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) 2)) (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) R))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) 3) (pow.f64 R 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 R 3) (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 3) (pow.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 3) (pow.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))))

simplify103.0ms (0.4%)

Algorithm
egg-herbie
Rules
401×fma-neg_binary64
350×associate-*r*_binary64
322×distribute-rgt-neg-in_binary64
315×associate--l+_binary64
304×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02036728
16796240
225226059
Stop Event
node limit
Counts
255 → 128
Calls
Call 1
Inputs
(*.f64 (sin.f64 lambda1) lambda2)
(-.f64 (*.f64 (sin.f64 lambda1) lambda2) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5))) (*.f64 (sin.f64 lambda1) lambda2)) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5))) (*.f64 (sin.f64 lambda1) lambda2)) (+.f64 (*.f64 1/5040 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 7))) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)))))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda2) lambda1)
(-.f64 (*.f64 (sin.f64 lambda2) lambda1) (*.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (*.f64 (sin.f64 lambda2) lambda1)) (*.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (*.f64 (sin.f64 lambda2) lambda1)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (*.f64 1/5040 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 7)))))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
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(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
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(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
Outputs
(*.f64 (sin.f64 lambda1) lambda2)
(-.f64 (*.f64 (sin.f64 lambda1) lambda2) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(+.f64 (*.f64 (sin.f64 lambda1) lambda2) (*.f64 -1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(fma.f64 (sin.f64 lambda1) lambda2 (*.f64 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) -1/6))
(*.f64 (sin.f64 lambda1) (-.f64 lambda2 (*.f64 1/6 (pow.f64 lambda2 3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5))) (*.f64 (sin.f64 lambda1) lambda2)) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(+.f64 (fma.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5)) (*.f64 (sin.f64 lambda1) lambda2)) (*.f64 -1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(fma.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5)) (fma.f64 (sin.f64 lambda1) lambda2 (*.f64 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) -1/6)))
(fma.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5)) (*.f64 (sin.f64 lambda1) (-.f64 lambda2 (*.f64 1/6 (pow.f64 lambda2 3)))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5))) (*.f64 (sin.f64 lambda1) lambda2)) (+.f64 (*.f64 1/5040 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 7))) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)))))
(-.f64 (fma.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5)) (*.f64 (sin.f64 lambda1) lambda2)) (fma.f64 1/5040 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 7)) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)))))
(-.f64 (fma.f64 (sin.f64 lambda1) lambda2 (*.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5)))) (fma.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) (*.f64 (sin.f64 lambda1) (*.f64 (pow.f64 lambda2 7) 1/5040))))
(-.f64 (*.f64 (sin.f64 lambda1) (+.f64 lambda2 (*.f64 1/120 (pow.f64 lambda2 5)))) (*.f64 (sin.f64 lambda1) (+.f64 (*.f64 1/5040 (pow.f64 lambda2 7)) (*.f64 1/6 (pow.f64 lambda2 3)))))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda2) lambda1)
(*.f64 lambda1 (sin.f64 lambda2))
(-.f64 (*.f64 (sin.f64 lambda2) lambda1) (*.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(+.f64 (*.f64 lambda1 (sin.f64 lambda2)) (*.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(fma.f64 lambda1 (sin.f64 lambda2) (*.f64 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) -1/6))
(*.f64 (sin.f64 lambda2) (-.f64 lambda1 (*.f64 1/6 (pow.f64 lambda1 3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (*.f64 (sin.f64 lambda2) lambda1)) (*.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(+.f64 (fma.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5)) (*.f64 lambda1 (sin.f64 lambda2))) (*.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(fma.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5)) (fma.f64 lambda1 (sin.f64 lambda2) (*.f64 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) -1/6)))
(fma.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5)) (*.f64 (sin.f64 lambda2) (-.f64 lambda1 (*.f64 1/6 (pow.f64 lambda1 3)))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (*.f64 (sin.f64 lambda2) lambda1)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (*.f64 1/5040 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 7)))))
(-.f64 (fma.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5)) (*.f64 lambda1 (sin.f64 lambda2))) (fma.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (*.f64 1/5040 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 7)))))
(+.f64 (fma.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5)) (fma.f64 lambda1 (sin.f64 lambda2) (*.f64 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) -1/6))) (*.f64 -1/5040 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 7))))
(+.f64 (*.f64 (sin.f64 lambda2) (+.f64 (*.f64 (pow.f64 lambda1 5) 1/120) lambda1)) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 -1/6 (pow.f64 lambda1 3)) (*.f64 1/5040 (pow.f64 lambda1 7)))))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (log.f64 (pow.f64 (exp.f64 (sin.f64 lambda2)) (sin.f64 lambda1))))))))
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(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1))))
(*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi1)))))
(*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 phi1) (cos.f64 lambda2) (*.f64 lambda1 (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))
(-.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)))) (*.f64 1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))))
(+.f64 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi1))))) (*.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 lambda1 lambda1))))))
(fma.f64 (cos.f64 phi2) (fma.f64 (cos.f64 phi1) (cos.f64 lambda2) (*.f64 lambda1 (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))) (*.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)))) -1/2))
(*.f64 (cos.f64 phi2) (-.f64 (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (*.f64 1/2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1))))))
(-.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (*.f64 1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))))))
(-.f64 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi1))))) (fma.f64 1/6 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (pow.f64 lambda1 3) (cos.f64 phi1)))) (*.f64 1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 lambda1 lambda1)))))))
(-.f64 (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 phi1) (cos.f64 lambda2) (*.f64 lambda1 (*.f64 (sin.f64 lambda2) (cos.f64 phi1))))) (fma.f64 1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)))) (*.f64 1/6 (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 lambda1 3) (cos.f64 phi1)))))))
(+.f64 (*.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1))) (*.f64 (cos.f64 phi2) -1/2)) (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (*.f64 1/6 (*.f64 (sin.f64 lambda2) (*.f64 (pow.f64 lambda1 3) (cos.f64 phi1)))))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))

prune189.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New11810128
Fresh9211
Picked101
Done101
Total12912141
Error
2.0b
Counts
141 → 12
Alt Table
StatusErrorProgram
33.0b
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)) 2)
2.4b
(*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) R)
16.6b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))))) 1) R)
2.4b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 lambda1)) (sin.f64 lambda2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 lambda1)) (sin.f64 lambda2))))))))) R)
33.5b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) 2))) R)
2.6b
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) 2) R)
2.5b
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) R)
2.6b
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))))) R)
39.8b
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R) 3))
3.3b
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)) 3)
2.4b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) R)
53.6b
(pow.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R) 3) 1/3)
Compiler

Compiled 5509 to 1800 computations (67.3% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
0.3b
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
0.3b
(log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
2.4b
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))

series2.3s (9.5%)

Counts
3 → 144
Calls

36 calls:

TimeVariablePointExpression
271.0ms
phi1
@-inf
(log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
269.0ms
lambda2
@inf
(log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
268.0ms
phi2
@inf
(log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
268.0ms
lambda2
@-inf
(log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
268.0ms
lambda1
@-inf
(log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))

rewrite70.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
379×log1p-udef_binary64
210×add-sqr-sqrt_binary64
210×pow1_binary64
209×*-un-lft-identity_binary64
194×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02190
140360
2499560
Stop Event
node limit
Counts
3 → 79
Calls
Call 1
Inputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))
(log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))))))) 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simplify110.0ms (0.5%)

Algorithm
egg-herbie
Rules
697×associate-*l*_binary64
428×fma-def_binary64
383×times-frac_binary64
329×associate-/l*_binary64
273×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05199572
118269197
Stop Event
node limit
Counts
223 → 150
Calls
Call 1
Inputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))))))
(-.f64 (log.f64 (+.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2)))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 lambda1) (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (sin.f64 lambda2)))) (+.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))))))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (+.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2)))))))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2)))))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 phi1 4) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (+.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))))))) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 phi1 4) (sin.f64 lambda2)))) (+.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))))))))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (*.f64 (pow.f64 (cos.f64 phi2) 2) (*.f64 (pow.f64 phi1 4) (pow.f64 (sin.f64 lambda2) 2)))) (pow.f64 (+.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))))) 2))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 phi1 4) (*.f64 (pow.f64 (cos.f64 phi2) 2) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)))) (pow.f64 (+.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))))) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (+.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 lambda1) (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (sin.f64 lambda2)))) (+.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))))))) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 lambda1) (*.f64 (pow.f64 (cos.f64 phi2) 2) (*.f64 (pow.f64 phi1 4) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (+.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))))) 2))))))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2)))))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (*.f64 (pow.f64 phi1 6) (*.f64 (pow.f64 (cos.f64 phi2) 2) (pow.f64 (sin.f64 lambda2) 2)))) (pow.f64 (+.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))))) 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 phi1 4) (sin.f64 lambda2)))) (+.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 lambda2))))))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 lambda1) (*.f64 (pow.f64 phi1 6) (*.f64 (pow.f64 (cos.f64 phi2) 2) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (+.f64 1 (+.f64 (*.f64 (cos.f64 phi2) 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(-.f64 (+.f64 (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi1))) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 lambda2) (*.f64 (pow.f64 phi2 2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (*.f64 1/2 (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (pow.f64 phi2 2) (cos.f64 phi1)))))))
(-.f64 (+.f64 (*.f64 1/24 (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 phi2 4) (cos.f64 lambda1))))) (+.f64 (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi1))) (+.f64 (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 1/24 (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (pow.f64 phi2 4) (cos.f64 phi1)))))))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 phi2 2) (cos.f64 lambda1))))) (*.f64 1/2 (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (pow.f64 phi2 2) (cos.f64 phi1)))))))
(-.f64 (+.f64 (*.f64 1/24 (*.f64 (cos.f64 lambda2) (*.f64 (pow.f64 phi2 4) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (+.f64 (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi1))) (+.f64 (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))) (*.f64 1/24 (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (pow.f64 phi2 4) (cos.f64 phi1)))))))) (+.f64 (*.f64 1/720 (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (pow.f64 phi2 6) (cos.f64 phi1))))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 phi2 2) (cos.f64 lambda1))))) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (*.f64 (pow.f64 phi2 2) (cos.f64 phi1))))) (*.f64 1/720 (*.f64 (cos.f64 lambda2) (*.f64 (pow.f64 phi2 6) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(+.f64 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(-.f64 (+.f64 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (*.f64 1/2 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(-.f64 (+.f64 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (*.f64 (pow.f64 lambda2 3) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1))))
(-.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)))) (*.f64 1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))))
(-.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (*.f64 1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
Outputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
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(/.f64 (sin.f64 lambda1) (pow.f64 (fma.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi1)) 1)) 2)) (*.f64 (cos.f64 lambda2) (*.f64 (*.f64 (pow.f64 (cos.f64 phi1) 2) (pow.f64 phi2 6)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (+.f64 (*.f64 (/.f64 (sin.f64 lambda1) (pow.f64 (fma.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi1)) 1)) 2)) (*.f64 (cos.f64 lambda2) (*.f64 (*.f64 (pow.f64 (cos.f64 phi1) 2) (pow.f64 phi2 6)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2)) (*.f64 (pow.f64 (cos.f64 phi1) 2) (pow.f64 phi2 6))) (pow.f64 (fma.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi1)) 1)) 2)))))))) (fma.f64 1/24 (*.f64 (/.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 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(log1p.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))))
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(+.f64 (/.f64 (cos.f64 phi2) (/.f64 (+.f64 1 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (*.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi1))))) (-.f64 (fma.f64 1/3 (/.f64 (pow.f64 (cos.f64 phi2) 3) (/.f64 (pow.f64 (+.f64 1 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 3) (*.f64 (pow.f64 (sin.f64 lambda2) 3) (*.f64 (pow.f64 (cos.f64 phi1) 3) (pow.f64 lambda1 3))))) (+.f64 (log1p.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (cos.f64 phi2) 2) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (*.f64 (pow.f64 (cos.f64 phi1) 2) (pow.f64 lambda1 3))))) (pow.f64 (+.f64 1 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 2))))) (fma.f64 1/6 (/.f64 (cos.f64 phi2) (/.f64 (+.f64 1 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 lambda1 lambda1)))) (+.f64 1 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1))))) (/.f64 (pow.f64 (cos.f64 phi2) 2) (/.f64 (pow.f64 (+.f64 1 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))) 2) (*.f64 (pow.f64 (sin.f64 lambda2) 2) (*.f64 (pow.f64 (cos.f64 phi1) 2) (*.f64 lambda1 lambda1))))))))))
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(log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))) (+.f64 1 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))))))
(log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))) (fma.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1))) 1)))
(log.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 1 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))))))
(log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))) (+.f64 1 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))))))
(log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))) (fma.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1))) 1)))
(log.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 1 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))))))
(log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))) (+.f64 1 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))))))
(log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))) (fma.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1))) 1)))
(log.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 1 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))))))
(log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))) (+.f64 1 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))))))
(log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))) (fma.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1))) 1)))
(log.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 1 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))))))
(log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))) (+.f64 1 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))))))
(log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))) (fma.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1))) 1)))
(log.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))) (+.f64 1 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))))))
(log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))) (+.f64 1 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))))))
(log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))) (fma.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1))) 1)))
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(log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))) (+.f64 1 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))))))
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(log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))) (+.f64 1 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))))))
(log.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1))) (fma.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (cos.f64 phi1))) 1)))
(*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
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(-.f64 (fma.f64 1/24 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (pow.f64 phi1 4)))) (+.f64 (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (*.f64 1/24 (*.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (*.f64 (sin.f64 lambda2) (pow.f64 phi1 4)))))) (fma.f64 1/2 (fma.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 phi1 phi1) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda2)) (*.f64 (*.f64 phi1 phi1) (sin.f64 lambda1)))) (*.f64 1/720 (fma.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (pow.f64 phi1 6))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (pow.f64 phi1 6))))))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
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(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1))))
(*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)) (*.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi1)))))
(*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 phi1) (*.f64 lambda1 (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))))
(-.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)))) (*.f64 1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))))
(+.f64 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)) (*.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi1))))) (*.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 lambda1 lambda1))))))
(fma.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 phi1) (*.f64 lambda1 (*.f64 (sin.f64 lambda2) (cos.f64 phi1)))) (*.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 lambda1 lambda1)))) -1/2))
(-.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1)))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (*.f64 1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))))))
(-.f64 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)) (*.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi1))))) (fma.f64 1/6 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3)))) (*.f64 1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 lambda1 lambda1)))))))
(-.f64 (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 phi1) (*.f64 lambda1 (*.f64 (sin.f64 lambda2) (cos.f64 phi1))))) (fma.f64 1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 lambda1 lambda1)))) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda2)) (*.f64 (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3)) 1/6))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi1)))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
(*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1)))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
(*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))

prune287.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1833186
Fresh2911
Picked011
Done000
Total18513198
Error
2.0b
Counts
198 → 13
Alt Table
StatusErrorProgram
24.1b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))))) 1)))) R)
39.8b
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R) 3))
33.0b
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)) 2)
2.4b
(*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) R)
2.6b
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) 2) R)
2.5b
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) R)
2.6b
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))))) R)
16.6b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))))) 1) R)
3.3b
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)) 3)
2.4b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) R)
2.4b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 lambda1)) (sin.f64 lambda2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 lambda1)) (sin.f64 lambda2))))))))) R)
53.6b
(pow.f64 (pow.f64 (*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) R) 3) 1/3)
16.6b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cbrt.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))) 2))))) R)
Compiler

Compiled 11678 to 4142 computations (64.5% saved)

regimes3.3s (13.8%)

Accuracy

Total 0.4b remaining (10.1%)

Threshold costs 0.4b (10.1%)

Counts
260 → 1
Compiler

Compiled 78348 to 52672 computations (32.8% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02139
12539
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
Outputs
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)

end314.0ms (1.3%)

Stop Event
fuel
Remove

(sort phi1 phi2)

(sort lambda1 lambda2)

Compiler

Compiled 733 to 437 computations (40.4% saved)

Profiling

Loading profile data...