Details

Time bar (total: 14.6s)

analyze2.8s (19.1%)

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
9.4%90.4%0.2%9
9.4%90.4%0.2%10
10.9%88.9%0.2%11
10.9%88.9%0.2%12
10.9%88.9%0.2%13
10.9%88.9%0.2%14
Compiler

Compiled 25 to 15 computations (40% saved)

sample7.9s (54.5%)

Results
5.7s4633×body1024valid
1.2s1775×body512valid
372.0ms743×body256valid
335.0ms131×body2048valid
240.0ms974×body128valid
Compiler

Compiled 50 to 30 computations (40% saved)

preprocess87.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 24 to 14 computations (41.7% saved)

simplify26.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

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

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 89 to 43 computations (51.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series22.0ms (0.2%)

Counts
4 → 64
Calls

36 calls:

TimeVariablePointExpression
3.0ms
lambda2
@inf
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
1.0ms
phi2
@inf
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
1.0ms
lambda1
@inf
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
1.0ms
phi2
@0
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
1.0ms
phi1
@inf
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))

rewrite87.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify38.0ms (0.3%)

Algorithm
egg-herbie
Rules
609×cancel-sign-sub-inv_binary64
482×fma-def_binary64
475×associate-*r*_binary64
458×associate-*l*_binary64
200×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01211354
13911249
213431165
Stop Event
node limit
Counts
181 → 178
Calls
Call 1
Inputs
(cos.f64 (neg.f64 lambda2))
(-.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))
(-.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (cos.f64 (neg.f64 lambda2))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(cos.f64 lambda1)
(+.f64 (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) lambda2))
(-.f64 (+.f64 (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) lambda2)) (*.f64 1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))
(-.f64 (+.f64 (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) lambda2)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)))))
(sin.f64 (neg.f64 lambda2))
(+.f64 (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2))) (*.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))
(-.f64 (+.f64 (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2))) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 1/6 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)))))
(sin.f64 lambda1)
(-.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 lambda1)))
(-.f64 (sin.f64 lambda1) (+.f64 (*.f64 lambda2 (cos.f64 lambda1)) (*.f64 1/2 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 2)))))
(-.f64 (+.f64 (sin.f64 lambda1) (*.f64 1/6 (*.f64 (pow.f64 lambda2 3) (cos.f64 lambda1)))) (+.f64 (*.f64 lambda2 (cos.f64 lambda1)) (*.f64 1/2 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 2)))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (*.f64 1/24 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))))) (*.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (*.f64 1/24 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (*.f64 1/720 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 6)))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1))
(-.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(-.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (*.f64 1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (*.f64 1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
(-.f64 (+.f64 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (*.f64 1/2 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(-.f64 (+.f64 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 lambda1) (*.f64 (pow.f64 lambda2 3) (cos.f64 phi2)))) (*.f64 1/2 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.f64 1/2 (pow.f64 phi1 2)))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (*.f64 1/2 (pow.f64 phi1 2)))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (+.f64 (*.f64 1/2 (pow.f64 phi1 2)) (*.f64 1/720 (pow.f64 phi1 6))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
Outputs
(cos.f64 (neg.f64 lambda2))
(cos.f64 lambda2)
(-.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))
(-.f64 (cos.f64 lambda2) (*.f64 (neg.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 (neg.f64 lambda2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(-.f64 (cos.f64 lambda2) (fma.f64 1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))
(-.f64 (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (*.f64 (cos.f64 lambda2) (*.f64 (*.f64 lambda1 lambda1) 1/2)))
(+.f64 (cos.f64 lambda2) (fma.f64 lambda1 (sin.f64 lambda2) (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 lambda2) -1/2))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (cos.f64 (neg.f64 lambda2))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(-.f64 (fma.f64 1/6 (*.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (cos.f64 lambda2)) (fma.f64 1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))
(+.f64 (+.f64 (fma.f64 1/6 (*.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (cos.f64 lambda2)) (*.f64 -1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)))) (*.f64 lambda1 (sin.f64 lambda2)))
(+.f64 (cos.f64 lambda2) (fma.f64 (pow.f64 lambda1 3) (*.f64 -1/6 (sin.f64 lambda2)) (fma.f64 lambda1 (sin.f64 lambda2) (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 lambda2) -1/2)))))
(cos.f64 lambda1)
(+.f64 (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) lambda2))
(+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))
(-.f64 (+.f64 (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) lambda2)) (*.f64 1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))
(-.f64 (+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1))) (*.f64 (*.f64 1/2 (*.f64 lambda2 lambda2)) (cos.f64 lambda1)))
(+.f64 (cos.f64 lambda1) (fma.f64 lambda2 (sin.f64 lambda1) (*.f64 (*.f64 lambda2 (*.f64 lambda2 (cos.f64 lambda1))) -1/2)))
(fma.f64 lambda2 (sin.f64 lambda1) (*.f64 (+.f64 (*.f64 (*.f64 lambda2 lambda2) -1/2) 1) (cos.f64 lambda1)))
(-.f64 (+.f64 (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) lambda2)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)))))
(+.f64 (cos.f64 lambda1) (-.f64 (*.f64 lambda2 (sin.f64 lambda1)) (fma.f64 1/2 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) (*.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))))
(-.f64 (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1)) (fma.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) (*.f64 1/2 (*.f64 lambda2 (*.f64 lambda2 (cos.f64 lambda1))))))
(+.f64 (cos.f64 lambda1) (+.f64 (*.f64 (sin.f64 lambda1) (-.f64 lambda2 (*.f64 1/6 (pow.f64 lambda2 3)))) (*.f64 lambda2 (*.f64 (*.f64 lambda2 (cos.f64 lambda1)) -1/2))))
(sin.f64 (neg.f64 lambda2))
(neg.f64 (sin.f64 lambda2))
(+.f64 (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2)))
(fma.f64 (cos.f64 lambda2) lambda1 (neg.f64 (sin.f64 lambda2)))
(-.f64 (*.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2))
(-.f64 (+.f64 (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2))) (*.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))
(+.f64 (fma.f64 (cos.f64 lambda2) lambda1 (neg.f64 (sin.f64 lambda2))) (*.f64 -1/2 (*.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 lambda1 lambda1))))
(+.f64 (-.f64 (*.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (*.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 lambda1 lambda1)) -1/2))
(fma.f64 (cos.f64 lambda2) lambda1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 lambda1 lambda1)) 1) (neg.f64 (sin.f64 lambda2))))
(-.f64 (+.f64 (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2))) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 1/6 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)))))
(-.f64 (fma.f64 (cos.f64 lambda2) lambda1 (neg.f64 (sin.f64 lambda2))) (fma.f64 1/2 (*.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 lambda1 lambda1)) (*.f64 1/6 (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 3)))))
(-.f64 (-.f64 (*.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (fma.f64 1/2 (*.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 lambda1 lambda1)) (*.f64 (cos.f64 lambda2) (*.f64 (pow.f64 lambda1 3) 1/6))))
(fma.f64 (cos.f64 lambda2) lambda1 (fma.f64 -1 (sin.f64 lambda2) (*.f64 (*.f64 lambda1 lambda1) (-.f64 (*.f64 1/2 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (*.f64 1/6 lambda1))))))
(sin.f64 lambda1)
(-.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 lambda1)))
(-.f64 (sin.f64 lambda1) (+.f64 (*.f64 lambda2 (cos.f64 lambda1)) (*.f64 1/2 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 2)))))
(-.f64 (sin.f64 lambda1) (fma.f64 lambda2 (cos.f64 lambda1) (*.f64 1/2 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 lambda2)))))
(-.f64 (sin.f64 lambda1) (fma.f64 lambda2 (cos.f64 lambda1) (*.f64 (*.f64 lambda2 lambda2) (*.f64 1/2 (sin.f64 lambda1)))))
(-.f64 (sin.f64 lambda1) (*.f64 lambda2 (+.f64 (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (*.f64 1/2 lambda2)))))
(-.f64 (+.f64 (sin.f64 lambda1) (*.f64 1/6 (*.f64 (pow.f64 lambda2 3) (cos.f64 lambda1)))) (+.f64 (*.f64 lambda2 (cos.f64 lambda1)) (*.f64 1/2 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 2)))))
(+.f64 (sin.f64 lambda1) (-.f64 (*.f64 1/6 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 3))) (fma.f64 lambda2 (cos.f64 lambda1) (*.f64 1/2 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 lambda2))))))
(-.f64 (fma.f64 1/6 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 3)) (sin.f64 lambda1)) (fma.f64 lambda2 (cos.f64 lambda1) (*.f64 (*.f64 lambda2 lambda2) (*.f64 1/2 (sin.f64 lambda1)))))
(-.f64 (fma.f64 1/6 (*.f64 (cos.f64 lambda1) (pow.f64 lambda2 3)) (sin.f64 lambda1)) (*.f64 lambda2 (+.f64 (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (*.f64 1/2 lambda2)))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(+.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi2 phi2))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (*.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2))))
(+.f64 (cos.f64 phi1) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 phi2 phi2)) 1) (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (*.f64 1/24 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))))) (*.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(+.f64 (+.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 1/24 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)))) (*.f64 -1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi2 phi2))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (fma.f64 1/24 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)) (cos.f64 phi1)) (*.f64 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 1/2 (*.f64 phi2 phi2))))))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (*.f64 1/24 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (*.f64 1/720 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 6)))))
(-.f64 (+.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (*.f64 1/24 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)))) (fma.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi2 phi2)) (*.f64 1/720 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 6)))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (fma.f64 1/24 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)) (cos.f64 phi1)) (fma.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi2 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (pow.f64 phi2 6) 1/720)))))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) 1) (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (*.f64 -1/2 (*.f64 phi2 phi2)) (*.f64 1/720 (pow.f64 phi2 6))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1))
(fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1))
(fma.f64 (cos.f64 lambda2) (cos.f64 phi2) (cos.f64 phi1))
(-.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(-.f64 (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1)) (*.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) (cos.f64 phi1))
(-.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (*.f64 1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))))
(-.f64 (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1)) (fma.f64 (cos.f64 phi2) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (*.f64 1/2 (*.f64 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (cos.f64 phi2)))))
(+.f64 (cos.f64 phi1) (-.f64 (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))) (*.f64 1/2 (*.f64 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (cos.f64 phi2)))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (fma.f64 lambda1 (sin.f64 lambda2) (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 lambda2) -1/2))))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (*.f64 1/2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))))
(-.f64 (fma.f64 1/6 (*.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1))) (fma.f64 (cos.f64 phi2) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (*.f64 1/2 (*.f64 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (cos.f64 phi2)))))
(+.f64 (+.f64 (fma.f64 (*.f64 1/6 (cos.f64 phi2)) (*.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (cos.f64 phi1)) (*.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))) (*.f64 -1/2 (*.f64 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (cos.f64 phi2))))
(+.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (pow.f64 lambda1 3) (*.f64 -1/6 (sin.f64 lambda2)) (cos.f64 lambda2)))) (*.f64 (cos.f64 phi2) (fma.f64 lambda1 (sin.f64 lambda2) (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 lambda2) -1/2)))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 phi2)))
(fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
(fma.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 phi2))))
(fma.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))))
(-.f64 (+.f64 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (*.f64 1/2 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(+.f64 (fma.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 phi2)))) (*.f64 -1/2 (*.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 phi2)) (cos.f64 lambda1))))
(fma.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2)) (+.f64 (fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (*.f64 (cos.f64 lambda1) (*.f64 (*.f64 lambda2 lambda2) (cos.f64 phi2))) -1/2)))
(+.f64 (fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (*.f64 lambda2 (*.f64 (*.f64 lambda2 (cos.f64 lambda1)) -1/2)))))
(-.f64 (+.f64 (*.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 lambda1) (*.f64 (pow.f64 lambda2 3) (cos.f64 phi2)))) (*.f64 1/2 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(-.f64 (fma.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 phi2)))) (fma.f64 1/6 (*.f64 (sin.f64 lambda1) (*.f64 (pow.f64 lambda2 3) (cos.f64 phi2))) (*.f64 1/2 (*.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 phi2)) (cos.f64 lambda1)))))
(-.f64 (fma.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1))) (fma.f64 1/2 (*.f64 (cos.f64 lambda1) (*.f64 (*.f64 lambda2 lambda2) (cos.f64 phi2))) (*.f64 (sin.f64 lambda1) (*.f64 (*.f64 (pow.f64 lambda2 3) (cos.f64 phi2)) 1/6))))
(+.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (*.f64 lambda2 lambda2) -1/2) 1) (cos.f64 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda1) (-.f64 lambda2 (*.f64 1/6 (pow.f64 lambda2 3))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (*.f64 1/2 (pow.f64 phi1 2)))
(+.f64 1 (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 1/2 (*.f64 phi1 phi1))))
(+.f64 1 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (*.f64 (*.f64 phi1 phi1) -1/2)))
(fma.f64 (*.f64 phi1 phi1) -1/2 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) 1))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (*.f64 1/2 (pow.f64 phi1 2)))
(+.f64 (fma.f64 1/24 (pow.f64 phi1 4) (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)) (*.f64 -1/2 (*.f64 phi1 phi1)))
(+.f64 (fma.f64 1/24 (pow.f64 phi1 4) (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) 1)) (*.f64 (*.f64 phi1 phi1) -1/2))
(fma.f64 (*.f64 phi1 phi1) -1/2 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (fma.f64 1/24 (pow.f64 phi1 4) 1)))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (+.f64 (*.f64 1/2 (pow.f64 phi1 2)) (*.f64 1/720 (pow.f64 phi1 6))))
(-.f64 (fma.f64 1/24 (pow.f64 phi1 4) (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)) (fma.f64 1/2 (*.f64 phi1 phi1) (*.f64 1/720 (pow.f64 phi1 6))))
(-.f64 (fma.f64 1/24 (pow.f64 phi1 4) (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) 1)) (fma.f64 1/720 (pow.f64 phi1 6) (*.f64 phi1 (*.f64 phi1 1/2))))
(+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) 1) (fma.f64 1/24 (pow.f64 phi1 4) (fma.f64 (*.f64 phi1 phi1) -1/2 (*.f64 (pow.f64 phi1 6) -1/720))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))

prune367.0ms (2.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New16117178
Fresh000
Picked101
Done000
Total16217179
Error
0.8b
Counts
179 → 17
Alt Table
StatusErrorProgram
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 3))))
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi1))))
3.9b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (pow.f64 (cos.f64 phi1) 2)) (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))
7.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
33.6b
(+.f64 lambda1 (exp.f64 (log.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3) (pow.f64 (cos.f64 phi1) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (-.f64 (pow.f64 (cos.f64 phi1) 2) (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))))
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 2)))))
1.5b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) (cos.f64 phi1))))
22.6b
(+.f64 lambda1 (-.f64 (exp.f64 (log1p.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1))
6.2b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (cbrt.f64 (pow.f64 (sin.f64 (-.f64 lambda1 lambda2)) 3))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
17.3b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sqrt.f64 (pow.f64 (sin.f64 (-.f64 lambda1 lambda2)) 2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
1.3b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
1.3b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (fma.f64 lambda1 (sin.f64 lambda2) (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 lambda2) -1/2)))) (cos.f64 phi1))))
6.3b
(+.f64 lambda1 (cbrt.f64 (pow.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
0.9b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi1))))
Compiler

Compiled 6752 to 1849 computations (72.6% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series84.0ms (0.6%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
15.0ms
lambda2
@-inf
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))
11.0ms
lambda1
@inf
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))
9.0ms
phi2
@inf
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))
6.0ms
lambda2
@inf
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))
6.0ms
lambda1
@-inf
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))

rewrite71.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02497
156697
Stop Event
node limit
Counts
3 → 32
Calls
Call 1
Inputs
(pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))
(pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)) (sqrt.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 lambda1) 3) (pow.f64 (cos.f64 lambda2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3/2) (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)) (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) 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simplify133.0ms (0.9%)

Algorithm
egg-herbie
Rules
732×cancel-sign-sub-inv_binary64
511×unswap-sqr_binary64
347×associate-*r*_binary64
293×fma-neg_binary64
235×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02147929
16947896
230617886
Stop Event
node limit
Counts
128 → 101
Calls
Call 1
Inputs
(pow.f64 (cos.f64 lambda2) 3)
(-.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 3/2 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 2))))
(-.f64 (+.f64 (*.f64 7/8 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 4))) (pow.f64 (cos.f64 lambda2) 3)) (*.f64 3/2 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 2))))
(-.f64 (+.f64 (*.f64 7/8 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 4))) (pow.f64 (cos.f64 lambda2) 3)) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 2))) (*.f64 61/240 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 6)))))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(pow.f64 (cos.f64 lambda1) 3)
(-.f64 (pow.f64 (cos.f64 lambda1) 3) (*.f64 3/2 (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 3))))
(-.f64 (+.f64 (*.f64 7/8 (*.f64 (pow.f64 lambda2 4) (pow.f64 (cos.f64 lambda1) 3))) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 3/2 (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 3))))
(-.f64 (+.f64 (*.f64 7/8 (*.f64 (pow.f64 lambda2 4) (pow.f64 (cos.f64 lambda1) 3))) (pow.f64 (cos.f64 lambda1) 3)) (+.f64 (*.f64 61/240 (*.f64 (pow.f64 lambda2 6) (pow.f64 (cos.f64 lambda1) 3))) (*.f64 3/2 (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 3)))))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (cos.f64 phi1)))
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(+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (cos.f64 phi1) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))
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(+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (cos.f64 phi1) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))
(+.f64 (cos.f64 phi1) (+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))
(+.f64 (cos.f64 phi1) (+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))
(+.f64 (cos.f64 phi1) (+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))
(+.f64 (cos.f64 phi1) (+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))
(*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 lambda1 3))
(-.f64 (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 lambda1 3)) (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 lambda1 5))))
(-.f64 (+.f64 (*.f64 13/120 (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 lambda1 7))) (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 lambda1 3))) (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 lambda1 5))))
(-.f64 (+.f64 (*.f64 13/120 (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 lambda1 7))) (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 lambda1 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 lambda1 5))) (*.f64 41/3024 (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 lambda1 9)))))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3))
(-.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3)) (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 5))))
(-.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3)) (*.f64 13/120 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 7)))) (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 5))))
(-.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3)) (*.f64 13/120 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 7)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 5))) (*.f64 41/3024 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 9)))))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
Outputs
(pow.f64 (cos.f64 lambda2) 3)
(-.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 3/2 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 2))))
(+.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 -3/2 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 lambda1 lambda1))))
(-.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 (*.f64 lambda1 lambda1) 3/2)))
(+.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 lambda1 lambda1)) -3/2))
(-.f64 (+.f64 (*.f64 7/8 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 4))) (pow.f64 (cos.f64 lambda2) 3)) (*.f64 3/2 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 2))))
(+.f64 (fma.f64 7/8 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 4)) (pow.f64 (cos.f64 lambda2) 3)) (*.f64 -3/2 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 lambda1 lambda1))))
(+.f64 (fma.f64 7/8 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 4)) (pow.f64 (cos.f64 lambda2) 3)) (*.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 lambda1 lambda1)) -3/2))
(+.f64 (pow.f64 (cos.f64 lambda2) 3) (fma.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 (pow.f64 lambda1 4) 7/8) (*.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 lambda1 lambda1)) -3/2)))
(-.f64 (+.f64 (*.f64 7/8 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 4))) (pow.f64 (cos.f64 lambda2) 3)) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 2))) (*.f64 61/240 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 6)))))
(-.f64 (fma.f64 7/8 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 4)) (pow.f64 (cos.f64 lambda2) 3)) (fma.f64 3/2 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 lambda1 lambda1)) (*.f64 61/240 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 6)))))
(-.f64 (fma.f64 7/8 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 lambda1 4)) (pow.f64 (cos.f64 lambda2) 3)) (fma.f64 3/2 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 lambda1 lambda1)) (*.f64 (pow.f64 lambda1 6) (*.f64 (pow.f64 (cos.f64 lambda2) 3) 61/240))))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(pow.f64 (cos.f64 lambda1) 3)
(-.f64 (pow.f64 (cos.f64 lambda1) 3) (*.f64 3/2 (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 3))))
(-.f64 (pow.f64 (cos.f64 lambda1) 3) (*.f64 (*.f64 3/2 (*.f64 lambda2 lambda2)) (pow.f64 (cos.f64 lambda1) 3)))
(+.f64 (pow.f64 (cos.f64 lambda1) 3) (*.f64 (*.f64 -3/2 (*.f64 lambda2 lambda2)) (pow.f64 (cos.f64 lambda1) 3)))
(-.f64 (+.f64 (*.f64 7/8 (*.f64 (pow.f64 lambda2 4) (pow.f64 (cos.f64 lambda1) 3))) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 3/2 (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 3))))
(+.f64 (fma.f64 7/8 (*.f64 (pow.f64 (cos.f64 lambda1) 3) (pow.f64 lambda2 4)) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 -3/2 (*.f64 (pow.f64 (cos.f64 lambda1) 3) (*.f64 lambda2 lambda2))))
(+.f64 (*.f64 (+.f64 (*.f64 7/8 (pow.f64 lambda2 4)) 1) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (*.f64 -3/2 (*.f64 lambda2 lambda2)) (pow.f64 (cos.f64 lambda1) 3)))
(fma.f64 (+.f64 (*.f64 7/8 (pow.f64 lambda2 4)) 1) (pow.f64 (cos.f64 lambda1) 3) (*.f64 (*.f64 -3/2 (*.f64 lambda2 lambda2)) (pow.f64 (cos.f64 lambda1) 3)))
(-.f64 (+.f64 (*.f64 7/8 (*.f64 (pow.f64 lambda2 4) (pow.f64 (cos.f64 lambda1) 3))) (pow.f64 (cos.f64 lambda1) 3)) (+.f64 (*.f64 61/240 (*.f64 (pow.f64 lambda2 6) (pow.f64 (cos.f64 lambda1) 3))) (*.f64 3/2 (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 3)))))
(-.f64 (fma.f64 7/8 (*.f64 (pow.f64 (cos.f64 lambda1) 3) (pow.f64 lambda2 4)) (pow.f64 (cos.f64 lambda1) 3)) (fma.f64 61/240 (*.f64 (pow.f64 (cos.f64 lambda1) 3) (pow.f64 lambda2 6)) (*.f64 (*.f64 3/2 (*.f64 lambda2 lambda2)) (pow.f64 (cos.f64 lambda1) 3))))
(-.f64 (*.f64 (+.f64 (*.f64 7/8 (pow.f64 lambda2 4)) 1) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (cos.f64 lambda1) 3) (+.f64 (*.f64 3/2 (*.f64 lambda2 lambda2)) (*.f64 61/240 (pow.f64 lambda2 6)))))
(-.f64 (*.f64 (+.f64 (*.f64 7/8 (pow.f64 lambda2 4)) 1) (pow.f64 (cos.f64 lambda1) 3)) (*.f64 (pow.f64 (cos.f64 lambda1) 3) (+.f64 (*.f64 61/240 (pow.f64 lambda2 6)) (*.f64 3/2 (*.f64 lambda2 lambda2)))))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (cos.f64 phi1)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3)) (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1)))
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(-.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3)) (*.f64 13/120 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 7)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 5))) (*.f64 41/3024 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 9)))))
(-.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3) (*.f64 13/120 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 7)))) (fma.f64 1/2 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 5)) (*.f64 41/3024 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 9)))))
(+.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3) (fma.f64 13/120 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 7)) (*.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 5)) -1/2))) (*.f64 -41/3024 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 9))))
(+.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 3) (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (pow.f64 lambda2 7) 13/120) (*.f64 (*.f64 -1/2 (pow.f64 (sin.f64 lambda1) 3)) (pow.f64 lambda2 5)))) (*.f64 -41/3024 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 lambda2 9))))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))
(*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3))

prune645.0ms (4.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1632165
Fresh41216
Picked101
Done000
Total16814182
Error
0.0b
Counts
182 → 14
Alt Table
StatusErrorProgram
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 3))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi1))))
3.9b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (pow.f64 (cos.f64 phi1) 2)) (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))
7.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
33.6b
(+.f64 lambda1 (exp.f64 (log.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3) (pow.f64 (cos.f64 phi1) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (-.f64 (pow.f64 (cos.f64 phi1) 2) (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))))
22.6b
(+.f64 lambda1 (-.f64 (exp.f64 (log1p.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1))
6.2b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (cbrt.f64 (pow.f64 (sin.f64 (-.f64 lambda1 lambda2)) 3))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
0.2b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (cos.f64 lambda2) (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi1))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi1))))
1.3b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
6.3b
(+.f64 lambda1 (cbrt.f64 (pow.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 2)))))
Compiler

Compiled 15407 to 4285 computations (72.2% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
lambda1
@0
(*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))
1.0ms
lambda2
@0
(*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))
0.0ms
lambda1
@-inf
(*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))
0.0ms
lambda1
@inf
(*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))
0.0ms
lambda2
@inf
(*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))

rewrite35.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify25.0ms (0.2%)

Algorithm
egg-herbie
Rules
589×fma-neg_binary64
400×unswap-sqr_binary64
296×distribute-rgt-neg-in_binary64
279×distribute-lft-neg-in_binary64
235×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039446
1117431
2423396
32056379
Stop Event
node limit
Counts
41 → 32
Calls
Call 1
Inputs
(pow.f64 (cos.f64 lambda2) 2)
(-.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 2)))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 4))) (pow.f64 (cos.f64 lambda2) 2)) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 2)))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 4))) (pow.f64 (cos.f64 lambda2) 2)) (+.f64 (*.f64 2/45 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 6))) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 2))))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(pow.f64 (cos.f64 lambda1) 2)
(-.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 2)))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 lambda2 4) (pow.f64 (cos.f64 lambda1) 2))) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 2)))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 lambda2 4) (pow.f64 (cos.f64 lambda1) 2))) (pow.f64 (cos.f64 lambda1) 2)) (+.f64 (*.f64 2/45 (*.f64 (pow.f64 lambda2 6) (pow.f64 (cos.f64 lambda1) 2))) (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 2))))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
Outputs
(pow.f64 (cos.f64 lambda2) 2)
(-.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 2)))
(-.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 lambda1 lambda1)))
(*.f64 (+.f64 (*.f64 lambda1 (neg.f64 lambda1)) 1) (pow.f64 (cos.f64 lambda2) 2))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 4))) (pow.f64 (cos.f64 lambda2) 2)) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 2)))
(-.f64 (fma.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 4)) (pow.f64 (cos.f64 lambda2) 2)) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 lambda1 lambda1)))
(+.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (-.f64 (*.f64 1/3 (pow.f64 lambda1 4)) (*.f64 lambda1 lambda1))))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (-.f64 (+.f64 (*.f64 1/3 (pow.f64 lambda1 4)) 1) (*.f64 lambda1 lambda1)))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 4))) (pow.f64 (cos.f64 lambda2) 2)) (+.f64 (*.f64 2/45 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 6))) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 2))))
(-.f64 (fma.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 4)) (pow.f64 (cos.f64 lambda2) 2)) (fma.f64 2/45 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 lambda1 6)) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 lambda1 lambda1))))
(-.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 lambda1 4)) 1) (pow.f64 (cos.f64 lambda2) 2)) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (+.f64 (*.f64 2/45 (pow.f64 lambda1 6)) (*.f64 lambda1 lambda1))))
(+.f64 (pow.f64 (cos.f64 lambda2) 2) (*.f64 (pow.f64 (cos.f64 lambda2) 2) (-.f64 (fma.f64 1/3 (pow.f64 lambda1 4) (*.f64 (pow.f64 lambda1 6) -2/45)) (*.f64 lambda1 lambda1))))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(pow.f64 (cos.f64 lambda1) 2)
(-.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 2)))
(-.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 lambda2 lambda2)))
(*.f64 (+.f64 (*.f64 lambda2 (neg.f64 lambda2)) 1) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda1) 2) (fma.f64 lambda2 (neg.f64 lambda2) 1))
(*.f64 (pow.f64 (cos.f64 lambda1) 2) (-.f64 1 (*.f64 lambda2 lambda2)))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 lambda2 4) (pow.f64 (cos.f64 lambda1) 2))) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 2)))
(-.f64 (fma.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 lambda2 4)) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 lambda2 lambda2)))
(-.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 lambda2 4)) 1) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 lambda2 (*.f64 lambda2 (pow.f64 (cos.f64 lambda1) 2))))
(*.f64 (pow.f64 (cos.f64 lambda1) 2) (-.f64 (fma.f64 1/3 (pow.f64 lambda2 4) 1) (*.f64 lambda2 lambda2)))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 lambda2 4) (pow.f64 (cos.f64 lambda1) 2))) (pow.f64 (cos.f64 lambda1) 2)) (+.f64 (*.f64 2/45 (*.f64 (pow.f64 lambda2 6) (pow.f64 (cos.f64 lambda1) 2))) (*.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 lambda1) 2))))
(-.f64 (fma.f64 1/3 (*.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 lambda2 4)) (pow.f64 (cos.f64 lambda1) 2)) (fma.f64 2/45 (*.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 lambda2 6)) (*.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 lambda2 lambda2))))
(-.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 lambda2 4)) 1) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (cos.f64 lambda1) 2) (+.f64 (*.f64 lambda2 lambda2) (*.f64 2/45 (pow.f64 lambda2 6)))))
(+.f64 (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (cos.f64 lambda1) 2) (-.f64 (*.f64 1/3 (pow.f64 lambda2 4)) (fma.f64 2/45 (pow.f64 lambda2 6) (*.f64 lambda2 lambda2)))))
(*.f64 (pow.f64 (cos.f64 lambda1) 2) (-.f64 (fma.f64 1/3 (pow.f64 lambda2 4) 1) (fma.f64 lambda2 lambda2 (*.f64 2/45 (pow.f64 lambda2 6)))))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))
(*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2))

prune460.0ms (3.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1321133
Fresh11213
Picked101
Done000
Total13413147
Error
0.0b
Counts
147 → 13
Alt Table
StatusErrorProgram
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 3))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi1))))
33.6b
(+.f64 lambda1 (exp.f64 (log.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3) (pow.f64 (cos.f64 phi1) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (-.f64 (pow.f64 (cos.f64 phi1) 2) (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))))
22.6b
(+.f64 lambda1 (-.f64 (exp.f64 (log1p.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1))
6.2b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (cbrt.f64 (pow.f64 (sin.f64 (-.f64 lambda1 lambda2)) 3))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
1.3b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
4.5b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (cos.f64 lambda2) (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (expm1.f64 (log1p.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))
7.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
6.3b
(+.f64 lambda1 (cbrt.f64 (pow.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 2)))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi1))))
Compiler

Compiled 13017 to 3923 computations (69.9% saved)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))
0.5b
(pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3)
0.6b
(log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))
4.1b
(sin.f64 (-.f64 lambda1 lambda2))

series28.0ms (0.2%)

Counts
2 → 96
Calls

24 calls:

TimeVariablePointExpression
7.0ms
lambda2
@-inf
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))
4.0ms
lambda1
@-inf
(log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))
3.0ms
lambda1
@inf
(log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))
2.0ms
phi2
@0
(log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))
1.0ms
phi2
@0
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))

rewrite44.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
291×add-sqr-sqrt_binary64
290×pow1_binary64
286×*-un-lft-identity_binary64
273×add-log-exp_binary64
273×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026150
1579150
Stop Event
node limit
Counts
2 → 20
Calls
Call 1
Inputs
(log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))
(fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))))) (cos.f64 phi1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))) (cbrt.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1)))) (cbrt.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))) (sqrt.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1)) (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))) (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))))) (cos.f64 phi1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) 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phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) 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(cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))) (cos.f64 phi1))))))))

simplify216.0ms (1.5%)

Algorithm
egg-herbie
Rules
527×associate-/l*_binary64
436×cancel-sign-sub-inv_binary64
425×fma-def_binary64
331×unswap-sqr_binary64
200×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015213906
149313880
2203012368
Stop Event
node limit
Counts
116 → 52
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (cos.f64 phi1)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (cos.f64 phi1))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 phi2 2))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (*.f64 (pow.f64 phi2 2) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))))
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(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))))) (*.f64 1/2 (pow.f64 phi1 2)))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))) (*.f64 1/2 (pow.f64 phi1 2)))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))) (+.f64 (*.f64 1/2 (pow.f64 phi1 2)) (*.f64 1/720 (pow.f64 phi1 6))))
(+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (cos.f64 phi1) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))
(+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (cos.f64 phi1) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))
(+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (cos.f64 phi1) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))
(+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (cos.f64 phi1) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))
(+.f64 (cos.f64 phi1) (+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))
(+.f64 (cos.f64 phi1) (+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))
(+.f64 (cos.f64 phi1) (+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))
(+.f64 (cos.f64 phi1) (+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))
Outputs
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (cos.f64 phi1)))
(+.f64 (/.f64 (pow.f64 (sin.f64 lambda1) 3) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 lambda2) 3))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (cos.f64 phi1)))
(+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (cos.f64 phi1) (/.f64 (pow.f64 (sin.f64 lambda1) 3) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))) (pow.f64 (sin.f64 lambda2) 3)))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 lambda1) 3) (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 lambda2) 3) (fma.f64 (/.f64 (pow.f64 (cos.f64 lambda2) 3) (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (cos.f64 lambda1) 3) (cos.f64 phi1)))
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(+.f64 (cos.f64 phi1) (+.f64 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 3) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 lambda2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 lambda1) 3) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (pow.f64 (sin.f64 lambda2) 3) (cos.f64 phi2)))) (+.f64 (cos.f64 phi1) (/.f64 (cos.f64 phi2) (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))))) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 lambda2) 3) (*.f64 (pow.f64 (sin.f64 lambda1) 3) (cos.f64 phi2))) (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (+.f64 (cos.f64 phi1) (*.f64 (/.f64 (cos.f64 phi2) (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))))) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 lambda1) 3) (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (*.f64 (pow.f64 (sin.f64 lambda2) 3) (cos.f64 phi2)) (fma.f64 (/.f64 (cos.f64 phi2) (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (*.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)) (cos.f64 phi1)))

prune449.0ms (3.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1420142
Fresh01212
Picked011
Done000
Total14213155
Error
0.0b
Counts
155 → 13
Alt Table
StatusErrorProgram
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 3))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (log.f64 (exp.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2)) (cos.f64 phi1))))
33.6b
(+.f64 lambda1 (exp.f64 (log.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3) (pow.f64 (cos.f64 phi1) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (-.f64 (pow.f64 (cos.f64 phi1) 2) (*.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))))
22.6b
(+.f64 lambda1 (-.f64 (exp.f64 (log1p.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1))
6.2b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (cbrt.f64 (pow.f64 (sin.f64 (-.f64 lambda1 lambda2)) 3))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
1.3b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
4.5b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (cos.f64 lambda2) (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (expm1.f64 (log1p.f64 (fma.f64 (cos.f64 phi2) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (-.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1))))))
7.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
6.3b
(+.f64 lambda1 (cbrt.f64 (pow.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
1.1b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) 2)))))
1.0b
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi1))))
Compiler

Compiled 12091 to 3810 computations (68.5% saved)

regimes540.0ms (3.7%)

Accuracy

Total 0.1b remaining (35.5%)

Threshold costs 0.1b (35.5%)

Counts
132 → 1
Compiler

Compiled 5376 to 1149 computations (78.6% saved)

simplify4.0ms (0%)

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

Useful iterations: 0 (0.0ms)

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

end353.0ms (2.4%)

Stop Event
fuel
Compiler

Compiled 649 to 327 computations (49.6% saved)

Profiling

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