Details

Time bar (total: 16.4s)

analyze3.7s (22.6%)

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)

sample9.5s (58%)

Results
7.1s5653×body1024valid
1.3s1470×body512valid
709.0ms284×body2048valid
320.0ms554×body256valid
88.0ms295×body128valid
1.0msbody512invalid
1.0msbody256invalid
Compiler

Compiled 50 to 36 computations (28% saved)

preprocess70.0ms (0.4%)

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 (0.1%)

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
15.7b
Counts
3 → 2
Alt Table
StatusErrorProgram
15.7b
(*.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)
15.7b
(*.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)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))
0.3b
(*.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)
1.0b
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))
2.8b
(cos.f64 (-.f64 lambda2 lambda1))

series30.0ms (0.2%)

Counts
4 → 172
Calls

45 calls:

TimeVariablePointExpression
2.0ms
lambda2
@-inf
(cos.f64 (-.f64 lambda2 lambda1))
2.0ms
phi1
@-inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))
1.0ms
phi1
@inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))
1.0ms
phi2
@inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))
1.0ms
lambda1
@inf
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))

rewrite72.0ms (0.4%)

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 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))
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 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 log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) (#(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 expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda2 lambda1))))))))
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simplify98.0ms (0.6%)

Algorithm
egg-herbie
Rules
951×fma-def_binary64
390×*-commutative_binary64
267×distribute-rgt-neg-out_binary64
249×fma-neg_binary64
222×distribute-lft-neg-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01344387
13894295
212204156
333684154
Stop Event
node limit
Counts
253 → 143
Calls
Call 1
Inputs
(cos.f64 (neg.f64 lambda1))
(+.f64 (cos.f64 (neg.f64 lambda1)) (*.f64 -1 (*.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (*.f64 -1 (*.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1))))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (+.f64 (*.f64 -1 (*.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 lambda2)
(+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))
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(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))
(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 phi1 4) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 phi1 6) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 phi1 4) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (pow.f64 phi2 2)))) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(+.f64 (*.f64 1/24 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (pow.f64 phi2 4)))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (pow.f64 phi2 2)))) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
(+.f64 (*.f64 1/24 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (pow.f64 phi2 4)))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (pow.f64 phi2 2)))) (+.f64 (*.f64 -1/720 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (pow.f64 phi2 6)))) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda1))))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda1)))) (*.f64 -1 (*.f64 lambda2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (sin.f64 (neg.f64 lambda1)))))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda1)))))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda1)))) (*.f64 -1 (*.f64 lambda2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (sin.f64 (neg.f64 lambda1))))))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda1)))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 lambda2 3) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (sin.f64 (neg.f64 lambda1)))))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 lambda1)))) (*.f64 -1 (*.f64 lambda2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (sin.f64 (neg.f64 lambda1)))))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
Outputs
(cos.f64 (neg.f64 lambda1))
(cos.f64 lambda1)
(+.f64 (cos.f64 (neg.f64 lambda1)) (*.f64 -1 (*.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))
(+.f64 (cos.f64 lambda1) (*.f64 (neg.f64 lambda2) (neg.f64 (sin.f64 lambda1))))
(-.f64 (cos.f64 lambda1) (*.f64 lambda2 (neg.f64 (sin.f64 lambda1))))
(fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (*.f64 -1 (*.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1))))))
(+.f64 (cos.f64 lambda1) (fma.f64 -1 (*.f64 lambda2 (neg.f64 (sin.f64 lambda1))) (*.f64 -1/2 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)))))
(+.f64 (cos.f64 lambda1) (-.f64 (*.f64 (cos.f64 lambda1) (*.f64 (*.f64 -1/2 lambda2) lambda2)) (*.f64 lambda2 (neg.f64 (sin.f64 lambda1)))))
(fma.f64 lambda2 (sin.f64 lambda1) (*.f64 (fma.f64 -1/2 (*.f64 lambda2 lambda2) 1) (cos.f64 lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (+.f64 (*.f64 -1 (*.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))))))
(+.f64 (cos.f64 lambda1) (fma.f64 1/6 (*.f64 (neg.f64 (sin.f64 lambda1)) (pow.f64 lambda2 3)) (fma.f64 -1 (*.f64 lambda2 (neg.f64 (sin.f64 lambda1))) (*.f64 -1/2 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2))))))
(+.f64 (cos.f64 lambda1) (+.f64 (*.f64 (cos.f64 lambda1) (*.f64 (*.f64 -1/2 lambda2) lambda2)) (*.f64 (neg.f64 (sin.f64 lambda1)) (+.f64 (*.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2)))))
(fma.f64 (neg.f64 (sin.f64 lambda1)) (-.f64 (*.f64 1/6 (pow.f64 lambda2 3)) lambda2) (*.f64 (fma.f64 -1/2 (*.f64 lambda2 lambda2) 1) (cos.f64 lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 lambda2)
(+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))
(+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))
(fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))
(+.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (cos.f64 lambda2) (fma.f64 -1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (*.f64 lambda1 (sin.f64 lambda2))))
(fma.f64 lambda1 (sin.f64 lambda2) (fma.f64 -1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (cos.f64 lambda2)))
(fma.f64 lambda1 (sin.f64 lambda2) (fma.f64 (cos.f64 lambda2) (*.f64 -1/2 (*.f64 lambda1 lambda1)) (cos.f64 lambda2)))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (cos.f64 lambda2) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))
(fma.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (+.f64 (cos.f64 lambda2) (fma.f64 -1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (*.f64 lambda1 (sin.f64 lambda2)))))
(+.f64 (fma.f64 -1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (*.f64 lambda1 (sin.f64 lambda2))) (fma.f64 (*.f64 (sin.f64 lambda2) -1/6) (pow.f64 lambda1 3) (cos.f64 lambda2)))
(+.f64 (fma.f64 -1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda2) (+.f64 lambda1 (*.f64 -1/6 (pow.f64 lambda1 3)))))
(+.f64 (fma.f64 (cos.f64 lambda2) (*.f64 -1/2 (*.f64 lambda1 lambda1)) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda2) (+.f64 lambda1 (*.f64 -1/6 (pow.f64 lambda1 3)))))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(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 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(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 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(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 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(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 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(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 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(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 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
(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 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))))
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(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))
(*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))))
(*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(*.f64 (cos.f64 phi2) (+.f64 (*.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 phi1)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1))))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (*.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 phi1)) (fma.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (cos.f64 phi1))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))))
(+.f64 (*.f64 (*.f64 (cos.f64 lambda2) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 phi1))) (*.f64 -1/2 (cos.f64 phi2))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 lambda1 (sin.f64 lambda2) (fma.f64 -1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (cos.f64 lambda2))))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 lambda1 (sin.f64 lambda2) (fma.f64 (cos.f64 lambda2) (*.f64 -1/2 (*.f64 lambda1 lambda1)) (cos.f64 lambda2))))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) lambda1))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(fma.f64 (cos.f64 phi2) (*.f64 (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 phi1)) (fma.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (cos.f64 phi1))) (fma.f64 -1/6 (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1))))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (cos.f64 phi2) (*.f64 (*.f64 (pow.f64 lambda1 3) (*.f64 (sin.f64 lambda2) (cos.f64 phi1))) -1/6))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))))
(+.f64 (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (pow.f64 lambda1 3) (*.f64 (sin.f64 lambda2) -1/6) (cos.f64 lambda2))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 lambda1 (+.f64 (sin.f64 lambda2) (*.f64 lambda1 (*.f64 -1/2 (cos.f64 lambda2)))))))
(+.f64 (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda2) (*.f64 -1/6 (pow.f64 lambda1 3)) (cos.f64 lambda2))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 lambda1 (+.f64 (sin.f64 lambda2) (*.f64 lambda1 (*.f64 -1/2 (cos.f64 lambda2)))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1))))
(*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))
(*.f64 (cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))

prune197.0ms (1.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New12716143
Fresh101
Picked101
Done000
Total12916145
Error
3.4b
Counts
145 → 16
Alt Table
StatusErrorProgram
15.9b
(*.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)
3.8b
(*.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)
15.8b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi2)) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
15.8b
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3)) R)
15.7b
(*.f64 (log.f64 (+.f64 1 (expm1.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)
40.0b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (*.f64 -1/2 (*.f64 phi1 phi1)) (fma.f64 1/24 (pow.f64 phi1 4) 1))))) R)
15.8b
(*.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)
3.7b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (/.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))))))) R)
46.0b
(exp.f64 (log.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)))
44.2b
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3) (pow.f64 R 3)))
44.8b
(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)
16.3b
(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)
3.7b
(*.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)
15.7b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) R)
16.3b
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 3) R)
3.7b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.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)))))) R)
Compiler

Compiled 4972 to 1758 computations (64.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
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))))
0.3b
(*.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)
1.0b
(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))))))

series37.0ms (0.2%)

Counts
4 → 164
Calls

45 calls:

TimeVariablePointExpression
3.0ms
phi2
@-inf
(*.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)
2.0ms
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))))
2.0ms
lambda1
@0
(*.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)
2.0ms
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))))
2.0ms
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))))

rewrite41.0ms (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
(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))))
(*.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 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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((#(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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 lambda1)))))) R) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 R) (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 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 lambda1)))))) 3)))))) (#(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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 lambda1)))))) R)))))) (#(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) (cos.f64 (-.f64 lambda2 lambda1)))))) R)))))))
((#(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 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))) 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 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) 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 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 exp.f64 (log.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.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 (*.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 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 expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))

simplify145.0ms (0.9%)

Algorithm
egg-herbie
Rules
506×*-commutative_binary64
417×distribute-rgt-in_binary64
301×distribute-lft-in_binary64
293×associate-+l+_binary64
266×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01425946
14525832
217625692
339845672
446605672
Stop Event
node limit
Counts
239 → 131
Calls
Call 1
Inputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
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(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 phi1 4) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 phi1 6) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 phi1 4) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 phi2 2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 phi2 2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (*.f64 1/24 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 phi2 4) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 phi2 2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (*.f64 1/24 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 phi2 4) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (*.f64 -1/720 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 phi2 6) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1))))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 lambda2 (sin.f64 lambda1))
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 lambda2 5) (sin.f64 lambda1))) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 lambda2 5) (sin.f64 lambda1))) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (*.f64 -1/5040 (*.f64 (pow.f64 lambda2 7) (sin.f64 lambda1))))))
(*.f64 (sin.f64 lambda2) lambda1)
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (*.f64 (sin.f64 lambda2) lambda1))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.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 (*.f64 -1/5040 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 7))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (*.f64 (sin.f64 lambda2) lambda1))))
Outputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 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 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
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(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.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 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.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 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.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 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.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 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))
(*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi1))) (*.f64 (cos.f64 lambda2) (cos.f64 phi1))))
(*.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi1)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi1))) (fma.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)) (*.f64 lambda1 lambda1)) -1/2)) (*.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi1)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))))
(*.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 lambda1 lambda1)))) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi1))) (fma.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)))) (fma.f64 -1/6 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (cos.f64 phi1))))))
(+.f64 (fma.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi1)) (*.f64 lambda1 lambda1))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 lambda2) (*.f64 (pow.f64 lambda1 3) -1/6)))) (*.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda2) (*.f64 lambda1 (cos.f64 phi1)) (*.f64 (cos.f64 lambda2) (cos.f64 phi1)))))
(+.f64 (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1))) (*.f64 (sin.f64 lambda2) (*.f64 -1/6 (pow.f64 lambda1 3))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.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 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.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 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.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 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.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 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.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 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.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 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.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 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.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 lambda2) (sin.f64 lambda1)))))
(*.f64 lambda2 (sin.f64 lambda1))
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))))
(fma.f64 lambda2 (sin.f64 lambda1) (*.f64 -1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(*.f64 (sin.f64 lambda1) (+.f64 (*.f64 -1/6 (pow.f64 lambda2 3)) lambda2))
(*.f64 (sin.f64 lambda1) (+.f64 lambda2 (*.f64 -1/6 (pow.f64 lambda2 3))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 lambda2 5) (sin.f64 lambda1))) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1)))))
(fma.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5)) (fma.f64 lambda2 (sin.f64 lambda1) (*.f64 -1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)))))
(fma.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5)) (*.f64 (sin.f64 lambda1) (+.f64 (*.f64 -1/6 (pow.f64 lambda2 3)) lambda2)))
(*.f64 (sin.f64 lambda1) (+.f64 (+.f64 lambda2 (*.f64 1/120 (pow.f64 lambda2 5))) (*.f64 -1/6 (pow.f64 lambda2 3))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 lambda2 5) (sin.f64 lambda1))) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (*.f64 -1/5040 (*.f64 (pow.f64 lambda2 7) (sin.f64 lambda1))))))
(fma.f64 1/120 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 5)) (fma.f64 lambda2 (sin.f64 lambda1) (fma.f64 -1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) (*.f64 -1/5040 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 7))))))
(+.f64 (*.f64 (sin.f64 lambda1) (+.f64 (*.f64 -1/6 (pow.f64 lambda2 3)) (*.f64 -1/5040 (pow.f64 lambda2 7)))) (*.f64 (sin.f64 lambda1) (+.f64 (*.f64 1/120 (pow.f64 lambda2 5)) lambda2)))
(*.f64 (sin.f64 lambda1) (+.f64 (+.f64 (*.f64 -1/5040 (pow.f64 lambda2 7)) (*.f64 -1/6 (pow.f64 lambda2 3))) (+.f64 lambda2 (*.f64 1/120 (pow.f64 lambda2 5)))))
(*.f64 (sin.f64 lambda2) lambda1)
(*.f64 lambda1 (sin.f64 lambda2))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (*.f64 (sin.f64 lambda2) lambda1))
(fma.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (*.f64 lambda1 (sin.f64 lambda2)))
(fma.f64 lambda1 (sin.f64 lambda2) (*.f64 (sin.f64 lambda2) (*.f64 (pow.f64 lambda1 3) -1/6)))
(*.f64 (sin.f64 lambda2) (+.f64 lambda1 (*.f64 -1/6 (pow.f64 lambda1 3))))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (*.f64 (sin.f64 lambda2) lambda1)))
(fma.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (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)) (fma.f64 lambda1 (sin.f64 lambda2) (*.f64 (pow.f64 lambda1 5) (*.f64 (sin.f64 lambda2) 1/120))))
(fma.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (*.f64 (sin.f64 lambda2) (+.f64 lambda1 (*.f64 1/120 (pow.f64 lambda1 5)))))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 7))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (*.f64 (sin.f64 lambda2) lambda1))))
(fma.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (fma.f64 -1/5040 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 7)) (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)) (fma.f64 -1/5040 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 7)) (fma.f64 lambda1 (sin.f64 lambda2) (*.f64 (pow.f64 lambda1 5) (*.f64 (sin.f64 lambda2) 1/120)))))
(+.f64 (*.f64 (sin.f64 lambda2) (+.f64 (*.f64 1/120 (pow.f64 lambda1 5)) (*.f64 -1/5040 (pow.f64 lambda1 7)))) (*.f64 (sin.f64 lambda2) (+.f64 lambda1 (*.f64 -1/6 (pow.f64 lambda1 3)))))

prune234.0ms (1.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1283131
Fresh21315
Picked101
Done000
Total13116147
Error
3.4b
Counts
147 → 16
Alt Table
StatusErrorProgram
16.3b
(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)
3.7b
(*.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) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) R)
15.8b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi2)) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
15.8b
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3)) R)
3.7b
(*.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 (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3))))))) R)
15.7b
(*.f64 (log.f64 (+.f64 1 (expm1.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)
40.0b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (*.f64 -1/2 (*.f64 phi1 phi1)) (fma.f64 1/24 (pow.f64 phi1 4) 1))))) R)
3.7b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.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)))))) R)
3.8b
(*.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) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 3))))) R)
15.9b
(*.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)
46.0b
(exp.f64 (log.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)))
44.2b
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3) (pow.f64 R 3)))
44.8b
(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)
15.7b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) R)
16.3b
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 3) R)
15.8b
(*.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)
Compiler

Compiled 5016 to 1766 computations (64.8% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
0.2b
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
0.3b
(*.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) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) R)
1.0b
(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) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))

series15.0ms (0.1%)

Counts
3 → 156
Calls

39 calls:

TimeVariablePointExpression
2.0ms
phi2
@0
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
0.0ms
phi1
@0
(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) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
0.0ms
lambda1
@-inf
(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) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
0.0ms
phi1
@0
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
0.0ms
phi2
@-inf
(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) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))

rewrite33.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
235×add-sqr-sqrt_binary64
235×pow1_binary64
234×*-un-lft-identity_binary64
217×expm1-log1p-u_binary64
216×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023101
144871
Stop Event
node limit
Counts
3 → 50
Calls
Call 1
Inputs
(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) (expm1.f64 (log1p.f64 (*.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) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) R)
(*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (expm1.f64 (log1p.f64 (*.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 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 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))) 2)) (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))))))))))) (#(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) (cos.f64 (-.f64 lambda2 lambda1))))))) (sqrt.f64 (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 (-.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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 lambda1)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 lambda1)))))) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 lambda1)))))) 3))))) (#(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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 lambda1))))))))))) (#(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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 lambda1)))))) 3)))))) (#(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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 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) (cos.f64 (-.f64 lambda2 lambda1)))))) R)))))) (#(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) (cos.f64 (-.f64 lambda2 lambda1)))))) R)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) 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 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 exp.f64 (log.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))))))

simplify172.0ms (1%)

Algorithm
egg-herbie
Rules
445×+-commutative_binary64
438×*-commutative_binary64
419×distribute-rgt-in_binary64
401×distribute-lft-in_binary64
244×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01115754
13565650
214705528
334865508
443795508
549665508
Stop Event
node limit
Counts
206 → 91
Calls
Call 1
Inputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
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(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (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 lambda2) (sin.f64 lambda1))) (cos.f64 phi1))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 phi1 4) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 phi1 6) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 phi1 4) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 phi2 2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 phi2 2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (*.f64 1/24 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 phi2 4) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 phi2 2) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (*.f64 1/24 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 phi2 4) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (*.f64 -1/720 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 phi2 6) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1))))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda1))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2)))))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) lambda1))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 lambda2))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
Outputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (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 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 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (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 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 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (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 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 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 phi2) (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 lambda2) (sin.f64 lambda1))))))
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(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))

prune177.0ms (1.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1260126
Fresh01515
Picked011
Done000
Total12616142
Error
3.4b
Counts
142 → 16
Alt Table
StatusErrorProgram
16.3b
(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)
3.7b
(*.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) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) R)
15.8b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi2)) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
15.8b
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3)) R)
3.7b
(*.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 (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3))))))) R)
15.7b
(*.f64 (log.f64 (+.f64 1 (expm1.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)
40.0b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (*.f64 -1/2 (*.f64 phi1 phi1)) (fma.f64 1/24 (pow.f64 phi1 4) 1))))) R)
3.7b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.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)))))) R)
3.8b
(*.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) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 3))))) R)
15.9b
(*.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)
46.0b
(exp.f64 (log.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)))
44.2b
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3) (pow.f64 R 3)))
44.8b
(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)
15.7b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) R)
16.3b
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 3) R)
15.8b
(*.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)
Compiler

Compiled 4906 to 1786 computations (63.6% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
0.3b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.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)))))) R)
0.3b
(*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))
1.0b
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.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))))))

series33.0ms (0.2%)

Counts
3 → 156
Calls

39 calls:

TimeVariablePointExpression
6.0ms
lambda1
@inf
(*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))
2.0ms
phi1
@0
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.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))))))
1.0ms
lambda1
@0
(*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))
1.0ms
phi1
@-inf
(*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))
1.0ms
phi1
@inf
(*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))

rewrite34.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
260×add-sqr-sqrt_binary64
258×*-un-lft-identity_binary64
258×pow1_binary64
238×add-exp-log_binary64
238×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02397
148873
Stop Event
node limit
Counts
3 → 31
Calls
Call 1
Inputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.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))))))
(*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.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)))))) R)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) 2) (asin.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (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 (*.f64 (cos.f64 phi1) (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 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))))) (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) (sqrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 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 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.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 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.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) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.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)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.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)))))) (#(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 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 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 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.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)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.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)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.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)))))))

simplify243.0ms (1.5%)

Algorithm
egg-herbie
Rules
958×fma-def_binary64
736×distribute-lft-out_binary64
507×*-commutative_binary64
279×distribute-rgt-out_binary64
260×unswap-sqr_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01196160
13515565
212175226
331215213
433605213
535415213
640525213
741665200
842955151
Stop Event
node limit
Counts
187 → 71
Calls
Call 1
Inputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
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(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
Outputs
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(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 lambda2) (sin.f64 lambda1))))))
(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)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(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 lambda2) (sin.f64 lambda1))))))
(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)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(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 lambda2) (sin.f64 lambda1))))))
(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)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
(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 lambda2) (sin.f64 lambda1))))))
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(acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
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(*.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)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
(*.f64 (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 lambda2) (sin.f64 lambda1)))))) R)
(*.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)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
(*.f64 (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 lambda2) (sin.f64 lambda1)))))) R)
(*.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)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
(*.f64 (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 lambda2) (sin.f64 lambda1)))))) R)
(*.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)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
(*.f64 (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 lambda2) (sin.f64 lambda1)))))) R)
(*.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)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
(*.f64 (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 lambda2) (sin.f64 lambda1)))))) R)
(*.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)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
(*.f64 (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 lambda2) (sin.f64 lambda1)))))) R)
(*.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)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
(*.f64 (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 lambda2) (sin.f64 lambda1)))))) R)
(*.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)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) R)
(*.f64 (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 lambda2) (sin.f64 lambda1)))))) R)
(*.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)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) R)

prune183.0ms (1.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1051106
Fresh01414
Picked101
Done101
Total10715122
Error
3.4b
Counts
122 → 15
Alt Table
StatusErrorProgram
15.8b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi2)) (cos.f64 phi1)) (cos.f64 (-.f64 lambda2 lambda1)))))) R)
15.8b
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3)) R)
3.7b
(*.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 (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3))))))) R)
15.7b
(*.f64 (log.f64 (+.f64 1 (expm1.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)
40.0b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (*.f64 -1/2 (*.f64 phi1 phi1)) (fma.f64 1/24 (pow.f64 phi1 4) 1))))) R)
3.7b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)
3.8b
(*.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) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 3))))) R)
15.9b
(*.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)
46.0b
(exp.f64 (log.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)))
44.2b
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) 3) (pow.f64 R 3)))
44.8b
(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)
16.3b
(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)
15.7b
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) R)
16.3b
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) 3) R)
15.8b
(*.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)
Compiler

Compiled 4390 to 1342 computations (69.4% saved)

regimes939.0ms (5.7%)

Accuracy

Total 0.2b remaining (5.3%)

Threshold costs 0.2b (5.3%)

Counts
146 → 1
Compiler

Compiled 3646 to 913 computations (75% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02451
13251
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)
Outputs
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) R)

end336.0ms (2%)

Stop Event
fuel
Remove

(sort phi1 phi2)

(sort lambda1 lambda2)

Compiler

Compiled 748 to 468 computations (37.4% saved)

Profiling

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