Details

Time bar (total: 22.6s)

analyze4.1s (18.1%)

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
7.8%92%0.2%9
7.8%92%0.2%10
10.1%89.7%0.2%11
10.1%89.7%0.2%12
13.9%85.9%0.2%13
13.9%85.9%0.2%14
Compiler

Compiled 29 to 18 computations (37.9% saved)

sample12.2s (54%)

Results
9.5s5565×body1024valid
1.2s1257×body512valid
729.0ms189×body2048valid
334.0ms427×body256valid
259.0ms818×body128valid
Compiler

Compiled 86 to 53 computations (38.4% saved)

simplify27.0ms (0.1%)

Algorithm
egg-herbie
Rules
543×fma-def_binary64
194×fma-neg_binary64
83×cancel-sign-sub-inv_binary64
59×distribute-rgt-neg-in_binary64
47×distribute-rgt-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01839
13239
26139
311539
415539
524639
634839
743739
857239
962239
1069439
1172039
1266939

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
12.2b
Counts
3 → 1
Alt Table
StatusErrorProgram
12.2b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
Compiler

Compiled 108 to 55 computations (49.1% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.2b
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
3.3b
(sin.f64 (-.f64 lambda1 lambda2))
3.4b
(cos.f64 (-.f64 lambda1 lambda2))

series56.0ms (0.2%)

Counts
4 → 72
Calls

4 calls:

37.0ms
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
10.0ms
(*.f64 (sin.f64 phi1) (cos.f64 phi2))
4.0ms
(cos.f64 (-.f64 lambda1 lambda2))
4.0ms
(sin.f64 (-.f64 lambda1 lambda2))

rewrite74.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
763×prod-diff_binary64
143×add-sqr-sqrt_binary64
134×log1p-expm1-u_binary64
134×expm1-log1p-u_binary64
132×add-log-exp_binary64
Counts
4 → 117
Calls

4 calls:

71.0ms
(*.f64 (sin.f64 phi1) (cos.f64 phi2))
71.0ms
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
71.0ms
(sin.f64 (-.f64 lambda1 lambda2))
71.0ms
(cos.f64 (-.f64 lambda1 lambda2))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01236
126336
2348736
3497236

simplify76.0ms (0.3%)

Algorithm
egg-herbie
Rules
865×cancel-sign-sub-inv_binary64
531×*-commutative_binary64
507×sub-neg_binary64
351×fma-neg_binary64
343×distribute-rgt-neg-in_binary64
Counts
189 → 192
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01721717
15401652
217721473
341501465
450131465

prune424.0ms (1.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New17220192
Fresh000
Picked101
Done000
Total17320193
Error
6.1b
Counts
193 → 20
Alt Table
StatusErrorProgram
12.2b
(atan2.f64 (*.f64 (/.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)))))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
22.6b
(atan2.f64 (*.f64 (fma.f64 (cos.f64 lambda2) lambda1 (fma.f64 -1 (sin.f64 lambda2) (*.f64 (*.f64 lambda1 lambda1) (-.f64 (*.f64 1/2 (sin.f64 lambda2)) (*.f64 lambda1 (*.f64 (cos.f64 lambda2) 1/6)))))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
25.8b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1)) (*.f64 (*.f64 lambda2 lambda2) (+.f64 (*.f64 1/2 (cos.f64 lambda1)) (*.f64 lambda2 (*.f64 1/6 (sin.f64 lambda1)))))))))
17.4b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
12.9b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))))
6.4b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
12.2b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))))))
12.9b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))) 1)))
6.8b
(atan2.f64 (*.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
28.3b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2))))
12.1b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))))
33.2b
(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
26.1b
(atan2.f64 (*.f64 (-.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 lambda1))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
25.7b
(atan2.f64 (*.f64 (fma.f64 (cos.f64 lambda2) lambda1 (sin.f64 (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
37.1b
(atan2.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
12.2b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 1))))
8.8b
(atan2.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (*.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)))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
12.3b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))) 3)))
6.4b
(atan2.f64 (*.f64 (fma.f64 (sin.f64 lambda1) (cos.f64 lambda2) (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
22.7b
(atan2.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
Compiler

Compiled 8558 to 2305 computations (73.1% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b
(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.2b
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
3.4b
(cos.f64 (-.f64 lambda1 lambda2))

series39.0ms (0.2%)

Counts
1 → 36
Calls

1 calls:

39.0ms
(*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))

rewrite59.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
461×fma-def_binary64
256×expm1-udef_binary64
256×log1p-udef_binary64
222×fma-neg_binary64
142×add-sqr-sqrt_binary64
Counts
1 → 56
Calls

1 calls:

57.0ms
(*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01323
127123
2340311
3499211

simplify58.0ms (0.3%)

Algorithm
egg-herbie
Rules
552×fma-def_binary64
538×distribute-rgt-neg-in_binary64
502×distribute-lft-neg-in_binary64
477×associate-*l*_binary64
467×associate-*r*_binary64
Counts
92 → 82
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0931065
12851061
29461020
336721020
450871020

prune511.0ms (2.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New20010210
Fresh18119
Picked101
Done000
Total21911230
Error
0.1b
Counts
230 → 11
Alt Table
StatusErrorProgram
16.3b
(atan2.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3)) (cos.f64 phi2)) (fma.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) (sin.f64 (+.f64 lambda1 lambda2)) (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
0.2b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.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)))))))
7.1b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))) 1)))
6.5b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)))) (cos.f64 (-.f64 lambda1 lambda2)))))
24.5b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2))))
25.1b
(atan2.f64 (fma.f64 (sqrt.f64 (cos.f64 phi2)) (*.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (fma.f64 (cos.f64 lambda1) (neg.f64 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
0.2b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))
12.5b
(atan2.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
6.4b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 1))))
6.8b
(atan2.f64 (*.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
6.4b
(atan2.f64 (+.f64 (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2)) (*.f64 (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
Compiler

Compiled 9462 to 2110 computations (77.7% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
0.2b
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.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)))))
0.3b
(/.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))))
0.3b
(*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))

series519.0ms (2.3%)

Counts
4 → 120
Calls

4 calls:

370.0ms
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.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)))))
107.0ms
(/.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))))
21.0ms
(*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
21.0ms
(*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))

rewrite80.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
373×prod-diff_binary64
238×add-sqr-sqrt_binary64
227×log1p-expm1-u_binary64
227×expm1-log1p-u_binary64
221×add-log-exp_binary64
Counts
4 → 68
Calls

4 calls:

79.0ms
(*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
78.0ms
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.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)))))
78.0ms
(/.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))))
78.0ms
(*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020120
146176
2496476
3550976

simplify156.0ms (0.7%)

Algorithm
egg-herbie
Rules
548×times-frac_binary64
446×associate-*r*_binary64
345×fma-neg_binary64
290×associate-*l*_binary64
250×sub-neg_binary64
Counts
188 → 150
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02655939
18765877
233185877
350945877

prune423.0ms (1.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1464150
Fresh2810
Picked101
Done000
Total14912161
Error
0.0b
Counts
161 → 12
Alt Table
StatusErrorProgram
6.8b
(atan2.f64 (*.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
24.5b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 lambda2))) (cos.f64 (+.f64 lambda1 lambda2)))) 2))))
7.1b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))) 1)))
6.5b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)))) (cos.f64 (-.f64 lambda1 lambda2)))))
0.2b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 6)) (*.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)))))))
6.4b
(atan2.f64 (+.f64 (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2)) (*.f64 (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
0.2b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))
25.1b
(atan2.f64 (fma.f64 (sqrt.f64 (cos.f64 phi2)) (*.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (fma.f64 (cos.f64 lambda1) (neg.f64 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
16.3b
(atan2.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3)) (cos.f64 phi2)) (fma.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) (sin.f64 (+.f64 lambda1 lambda2)) (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
0.2b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)))) (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
12.5b
(atan2.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
0.2b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2))) (*.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)))))))
Compiler

Compiled 11608 to 3103 computations (73.3% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)
0.2b
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)))) (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
0.3b
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)))) (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
0.3b
(*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)))

series476.0ms (2.1%)

Counts
3 → 96
Calls

3 calls:

300.0ms
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)))) (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
158.0ms
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)))) (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
17.0ms
(pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)

rewrite49.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
250×add-sqr-sqrt_binary64
243×expm1-log1p-u_binary64
242×log1p-expm1-u_binary64
233×add-cube-cbrt_binary64
233×add-cbrt-cube_binary64
Counts
3 → 51
Calls

3 calls:

47.0ms
(pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)
47.0ms
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)))) (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
47.0ms
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)))) (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023109
149685
2503485

simplify170.0ms (0.8%)

Algorithm
egg-herbie
Rules
548×times-frac_binary64
416×associate-*r*_binary64
301×unswap-sqr_binary64
289×fma-neg_binary64
270×associate-*l*_binary64
Counts
147 → 117
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02455493
18025446
230255446
352715446

prune459.0ms (2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1442146
Fresh11011
Picked101
Done000
Total14612158
Error
0.0b
Counts
158 → 12
Alt Table
StatusErrorProgram
16.3b
(atan2.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3)) (cos.f64 phi2)) (fma.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) (sin.f64 (+.f64 lambda1 lambda2)) (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
0.2b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 6)) (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)))) (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
0.2b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (expm1.f64 (log1p.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2)) 1)))) (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
12.5b
(atan2.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) 3) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
6.8b
(atan2.f64 (*.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
24.5b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (+.f64 lambda1 lambda2))) (cos.f64 (+.f64 lambda1 lambda2)))) 2))))
7.1b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))) 1)))
6.5b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)))) (cos.f64 (-.f64 lambda1 lambda2)))))
0.2b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))
25.1b
(atan2.f64 (fma.f64 (sqrt.f64 (cos.f64 phi2)) (*.f64 (sqrt.f64 (cos.f64 phi2)) (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (fma.f64 (cos.f64 lambda1) (neg.f64 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
6.4b
(atan2.f64 (+.f64 (*.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2)) (*.f64 (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
0.2b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.f64 (-.f64 (log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 2))) (*.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)))))))
Compiler

Compiled 10610 to 3009 computations (71.6% saved)

regimes2.2s (9.7%)

Accuracy

Total 0.1b remaining (48.3%)

Threshold costs 0.1b (48.3%)

Counts
222 → 1
Compiler

Compiled 56872 to 33920 computations (40.4% saved)

simplify8.0ms (0%)

Algorithm
egg-herbie
Rules
21×*-commutative_binary64
17×+-commutative_binary64
17×sub-neg_binary64
14×neg-sub0_binary64
14×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03293
15793
29193
311593
413693
515693
616393
716493
816093

end354.0ms (1.6%)

Compiler

Compiled 760 to 404 computations (46.8% saved)

Profiling

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