Details

Time bar (total: 17.4s)

analyze3.0s (17%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
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)

sample213.0ms (1.2%)

Algorithm
1×intervals
Results
146.0ms162×body1024valid
36.0ms46×body512valid
7.0ms3×body2048valid
6.0ms34×body128valid
4.0ms11×body256valid
Compiler

Compiled 61 to 39 computations (36.1% saved)

simplify23.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
83×cancel-sign-sub-inv_binary64
59×distribute-rgt-neg-in_binary64
56×sub-neg_binary64
47×distribute-rgt-in_binary64
42×unsub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01839
13139
25939
310539
412939
519639
624839
730939
842039
943039
1043639
1138539

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
14.6b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶14.6b
(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 84 to 51 computations (39.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.3b
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.7b
(cos.f64 (-.f64 lambda1 lambda2))
3.0b
(sin.f64 (-.f64 lambda1 lambda2))

rewrite125.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Error
7.0b
Rules
11×add-sqr-sqrt_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
9×add-cube-cbrt_binary64 *-un-lft-identity_binary64
6×cancel-sign-sub-inv_binary64 associate-*r*_binary64
4×sin-sum_binary64 add-log-exp_binary64 cos-sum_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64
3×cos-diff_binary64
Counts
4 → 63
Calls

4 calls:

8.0ms
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.0ms
(sin.f64 (-.f64 lambda1 lambda2))
4.0ms
(*.f64 (cos.f64 phi1) (sin.f64 phi2))
4.0ms
(cos.f64 (-.f64 lambda1 lambda2))
Compiler

Compiled 1912 to 347 computations (81.9% saved)

series212.0ms (1.2%)

Error
10.4b
Counts
4 → 51
Calls

4 calls:

79.0ms
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
34.0ms
(*.f64 (cos.f64 phi1) (sin.f64 phi2))
22.0ms
(sin.f64 (-.f64 lambda1 lambda2))
20.0ms
(cos.f64 (-.f64 lambda1 lambda2))
Compiler

Compiled 3627 to 1803 computations (50.3% saved)

simplify122.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
534×distribute-rgt-neg-in_binary64
495×distribute-lft-neg-in_binary64
490×cancel-sign-sub-inv_binary64
357×sub-neg_binary64
333×neg-mul-1_binary64
Counts
114 → 76
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02472108
16321855
218791767
332881752
447491752
549491752

prune139.0ms (0.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New591776
Fresh000
Picked101
Done000
Total601777
Error
6.9b
Counts
77 → 17
Alt Table
StatusErrorProgram
15.0b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (sin.f64 phi1))) 3))))
29.6b
(atan2.f64 (*.f64 (+.f64 (*.f64 (sin.f64 lambda2) (-.f64 -1 (*.f64 (*.f64 lambda1 lambda1) -1/2))) (*.f64 (cos.f64 lambda2) (-.f64 lambda1 (*.f64 1/6 (pow.f64 lambda1 3))))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
14.6b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))) (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))))
16.1b
(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 (cos.f64 phi2) (sin.f64 phi1))))))
17.8b
(atan2.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (-.f64 lambda1 lambda2)) 3)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
14.5b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
▶7.2b
(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)) (cos.f64 (-.f64 lambda1 lambda2)))))
28.4b
(atan2.f64 (*.f64 (-.f64 (*.f64 lambda1 (cos.f64 lambda2)) (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)))))
14.7b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))) (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))) (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))))
39.3b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1))) (sqrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
14.7b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1))) (cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))) (cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
27.1b
(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 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (-.f64 1 (*.f64 1/2 (*.f64 lambda2 lambda2))))))))
15.0b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) 3)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
22.2b
(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 lambda2))))
15.5b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (log.f64 (exp.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
19.8b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))
26.5b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda1) (-.f64 (*.f64 1/6 (pow.f64 lambda2 3)) lambda2)) (*.f64 (sin.f64 lambda1) (-.f64 (*.f64 1/2 (*.f64 lambda2 lambda2)) 1))) (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 2867 to 1113 computations (61.2% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.2b
(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.3b
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.7b
(cos.f64 (-.f64 lambda1 lambda2))

rewrite177.0ms (1%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
14×add-sqr-sqrt_binary64
13×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
10×add-cube-cbrt_binary64 *-un-lft-identity_binary64
9×associate-*r*_binary64
7×associate-*l*_binary64
Counts
4 → 69
Calls

4 calls:

8.0ms
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms
(*.f64 (cos.f64 phi1) (sin.f64 phi2))
5.0ms
(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
4.0ms
(cos.f64 (-.f64 lambda1 lambda2))
Compiler

Compiled 2441 to 380 computations (84.4% saved)

series287.0ms (1.6%)

Error
6.4b
Counts
4 → 51
Calls

4 calls:

95.0ms
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
35.0ms
(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
32.0ms
(*.f64 (cos.f64 phi1) (sin.f64 phi2))
28.0ms
(cos.f64 (-.f64 lambda1 lambda2))
Compiler

Compiled 4548 to 2306 computations (49.3% saved)

simplify162.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
674×distribute-rgt-neg-in_binary64
514×cancel-sign-sub-inv_binary64
382×associate-*r*_binary64
377×associate-*l*_binary64
337×sub-neg_binary64
Counts
120 → 81
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02612184
16751907
220981802
336461802
449641802
549871802
649591802

prune175.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New76581
Fresh10616
Picked101
Done000
Total871198
Error
0.1b
Counts
98 → 11
Alt Table
StatusErrorProgram
15.0b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (sin.f64 phi1))) 3))))
14.6b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))) (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))))
8.7b
(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)) (log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))))
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 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
10.3b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
14.7b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))) (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))) (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (sin.f64 phi1)))))))
39.3b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1))) (sqrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
14.7b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1))) (cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))) (cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
7.7b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) 3)) (*.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 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
15.5b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (log.f64 (exp.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
Compiler

Compiled 2928 to 873 computations (70.2% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.2b
(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.2b
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))

rewrite245.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
17×add-sqr-sqrt_binary64
15×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
12×associate-*r*_binary64
11×add-cube-cbrt_binary64 *-un-lft-identity_binary64
10×associate-*l*_binary64
Counts
4 → 82
Calls

4 calls:

11.0ms
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
5.0ms
(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
5.0ms
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
4.0ms
(*.f64 (cos.f64 phi1) (sin.f64 phi2))
Compiler

Compiled 3546 to 480 computations (86.5% saved)

series354.0ms (2%)

Error
0.1b
Counts
4 → 55
Calls

4 calls:

152.0ms
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
35.0ms
(*.f64 (cos.f64 phi1) (sin.f64 phi2))
34.0ms
(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
32.0ms
(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
Compiler

Compiled 6076 to 2777 computations (54.3% saved)

simplify115.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
734×associate-*r*_binary64
656×associate-*l*_binary64
491×distribute-rgt-neg-in_binary64
343×*-commutative_binary64
192×sub-neg_binary64
Counts
137 → 101
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03723660
110743126
241273126
351543126

prune230.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9110101
Fresh9110
Picked101
Done000
Total10111112
Error
0.0b
Counts
112 → 11
Alt Table
StatusErrorProgram
0.2b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (*.f64 (cbrt.f64 (cos.f64 lambda1)) (cbrt.f64 (cos.f64 lambda1))) (*.f64 (sin.f64 lambda2) (cbrt.f64 (cos.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
3.3b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.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 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (-.f64 (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) (-.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
1.7b
(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)) (log.f64 (pow.f64 (exp.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1))) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
39.3b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1))) (sqrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
1.1b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (log.f64 (exp.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.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 (cos.f64 lambda2) (cos.f64 lambda1)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))))))
0.3b
(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 (cbrt.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) (cbrt.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (cbrt.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))
0.3b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1))) (cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))) (cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
0.6b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) 3)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
0.6b
(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)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) 3))))
Compiler

Compiled 4784 to 1231 computations (74.3% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
0.2b
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))))
0.4b
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)
25.6b
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))

rewrite388.0ms (2.2%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
14×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
11×add-sqr-sqrt_binary64
9×add-cube-cbrt_binary64 *-un-lft-identity_binary64
8×cbrt-prod_binary64
6×associate-*r*_binary64
Counts
4 → 87
Calls

4 calls:

13.0ms
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))))
5.0ms
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
5.0ms
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)
3.0ms
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))
Compiler

Compiled 3971 to 915 computations (77% saved)

series391.0ms (2.2%)

Error
0.0b
Counts
4 → 53
Calls

4 calls:

152.0ms
(*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))))
53.0ms
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)
37.0ms
(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
34.0ms
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))
Compiler

Compiled 6123 to 2947 computations (51.9% saved)

simplify186.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
664×associate-*r*_binary64
580×associate-*l*_binary64
287×*-commutative_binary64
204×log-prod_binary64
178×unswap-sqr_binary64
Counts
140 → 117
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03343775
19323246
239073230
348413230
449903230
549663230

prune315.0ms (1.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1161117
Fresh1910
Picked011
Done000
Total11711128
Error
0.0b
Counts
128 → 11
Alt Table
StatusErrorProgram
0.2b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (*.f64 (cbrt.f64 (cos.f64 lambda1)) (cbrt.f64 (cos.f64 lambda1))) (*.f64 (sin.f64 lambda2) (cbrt.f64 (cos.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
3.3b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.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 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (-.f64 (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 2))) (-.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))))))
1.7b
(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)) (log.f64 (pow.f64 (exp.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1))) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))
39.3b
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1))) (sqrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
1.1b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (log.f64 (exp.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.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 (cos.f64 lambda2) (cos.f64 lambda1)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))))))
0.3b
(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 (cbrt.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) (cbrt.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (cbrt.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))
0.3b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1))) (cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))) (cbrt.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)))) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
0.6b
(atan2.f64 (*.f64 (-.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi2) (cos.f64 phi1)) 3)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
0.6b
(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)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) 3))))
Compiler

Compiled 4624 to 1143 computations (75.3% saved)

regimes3.1s (17.5%)

Accuracy

Total 0.1b remaining (62.9%)

Threshold costs 0.1b (62.9%)

Compiler

Compiled 65578 to 37649 computations (42.6% saved)

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Rules
21×*-commutative_binary64
14×+-commutative_binary64
13×sub-neg_binary64
11×neg-mul-1_binary64 neg-sub0_binary64
8×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03085
15185
27585
39585
411885
512885
613285
713385
813385

end1.0ms (0%)

Compiler

Compiled 55 to 29 computations (47.3% saved)

sample7.4s (42.6%)

Algorithm
1×intervals
Results
5.1s5313×body1024valid
733.0ms1273×body512valid
383.0ms189×body2048valid
144.0ms407×body256valid
141.0ms818×body128valid
Compiler

Compiled 646 to 344 computations (46.7% saved)

Profiling

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