Details

Time bar (total: 14.9s)

analyze2.2s (14.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
25%74.9%0.1%7
25%62.4%12.6%8
31.2%56.2%12.6%9
34.3%53%12.6%10
42.9%44.5%12.6%11
46.8%40.6%12.6%12
47.8%39.6%12.6%13
52.6%34.8%12.6%14
Compiler

Compiled 25 to 20 computations (20% saved)

sample326.0ms (2.2%)

Algorithm
intervals
Results
74.0ms54×body1024valid
34.0ms27×body1024invalid
26.0ms159×body128valid
20.0ms27×body512invalid
17.0ms24×body512valid
15.0msbody2048valid
7.0ms16×body256invalid
4.0ms10×body256valid
2.0ms14×body128invalid
Compiler

Compiled 52 to 42 computations (19.2% saved)

simplify134.0ms (0.9%)

Algorithm
egg-herbie
Rules
1078×sqr-pow_binary64
786×cube-prod_binary64
770×fabs-mul_binary64
484×unswap-sqr_binary64
392×pow-sqr_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01634
13034
26634
312434
421734
546534
666934
7113034
8117734
9136934
10157434
11186834
12215234
13257334
14320634
15352034
16387234
17402634
18409434
19413634
20493334
21490534

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
20.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
Compiler

Compiled 72 to 57 computations (20.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2)
0.3b
(*.f64 (PI.f64) (/.f64 angle 180))
25.2b
(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
25.4b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

series37.0ms (0.3%)

Counts
4 → 60
Calls

4 calls:

27.0ms
(pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2)
4.0ms
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
3.0ms
(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
3.0ms
(*.f64 (PI.f64) (/.f64 angle 180))

rewrite13.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64
13×associate-*r*_binary64
13×*-un-lft-identity_binary64
13×add-cube-cbrt_binary64
12×add-exp-log_binary64
Counts
4 → 72
Calls

4 calls:

5.0ms
(*.f64 (PI.f64) (/.f64 angle 180))
3.0ms
(pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2)
1.0ms
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
1.0ms
(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

simplify103.0ms (0.7%)

Algorithm
egg-herbie
Rules
600×fma-neg_binary64
587×times-frac_binary64
402×*-commutative_binary64
321×fma-def_binary64
249×cancel-sign-sub-inv_binary64
Counts
132 → 110
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01962107
14482003
214471981
335801967
449221967
549391967

prune340.0ms (2.3%)

Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New12329152
Fresh000
Picked101
Done000
Total12429153
Error
18.6b
Counts
153 → 29
Alt Table
StatusErrorProgram
43.8b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 angle 180)))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
30.9b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 2)))
20.5b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 angle) (cbrt.f64 angle))) (/.f64 (cbrt.f64 angle) 180)))) 2))
36.6b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (*.f64 1/32400 (*.f64 (pow.f64 angle 2) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2)))))
43.9b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (-.f64 (log.f64 angle) (log.f64 180)))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
30.8b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (*.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)))
44.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (-.f64 (log.f64 angle) (log.f64 180)))))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.4b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
19.9b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.6b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 180)) (/.f64 angle (sqrt.f64 180))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 3))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.2b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (PI.f64) (/.f64 1 (sqrt.f64 180))) (/.f64 angle (sqrt.f64 180))))) 2))
20.6b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.5b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2))
20.4b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2)) (cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))) (cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))))
20.4b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 angle 180))))) 2))
20.5b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (*.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2))
28.0b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 6)))
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 angle 180))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
28.0b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))))
20.6b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 angle 180))))) 2))
34.1b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (log.f64 (exp.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))))
20.8b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (expm1.f64 (log1p.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))))
20.3b
(+.f64 (pow.f64 (*.f64 a (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.4b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
38.9b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (cbrt.f64 2)))
Compiler

Compiled 6120 to 4481 computations (26.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
0.3b
(pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2)
0.3b
(*.f64 (PI.f64) (/.f64 angle 180))
25.4b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

series15.0ms (0.1%)

Counts
1 → 24
Calls

1 calls:

15.0ms
(*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

rewrite5.0ms (0%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
associate-*r*_binary64
associate-*l*_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
1 → 20
Calls

1 calls:

4.0ms
(*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

simplify63.0ms (0.4%)

Algorithm
egg-herbie
Rules
911×distribute-rgt-neg-in_binary64
646×fma-neg_binary64
509×associate-*l*_binary64
452×associate-*r*_binary64
412×distribute-lft-neg-in_binary64
Counts
44 → 31
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
072785
1178727
2569722
32006713
43858712
55218712

prune325.0ms (2.2%)

Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New10815123
Fresh151328
Picked101
Done000
Total12428152
Error
18.6b
Counts
152 → 28
Alt Table
StatusErrorProgram
20.0b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 (*.f64 b (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) 2))
43.8b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 angle 180)))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
27.5b
(+.f64 (pow.f64 (*.f64 a 1) 2) (cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))))
20.2b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (*.f64 (/.f64 angle 180) (cbrt.f64 (PI.f64)))))) 2))
27.5b
(+.f64 (pow.f64 (*.f64 a 1) 2) (cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 6)))
19.9b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))))) 2))
20.8b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (expm1.f64 (log1p.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))))
36.6b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (*.f64 1/32400 (*.f64 (pow.f64 angle 2) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2)))))
20.0b
(+.f64 (pow.f64 (*.f64 a 1) 2) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2)) (cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))) (cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))))
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
30.4b
(+.f64 (pow.f64 (*.f64 a 1) 2) (*.f64 (*.f64 b b) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)))
25.6b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2))
20.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))) 2))
20.4b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 angle) (cbrt.f64 angle))) (/.f64 (cbrt.f64 angle) 180)))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 3))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
30.4b
(+.f64 (pow.f64 (*.f64 a 1) 2) (*.f64 (*.f64 b b) (pow.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 2)))
20.4b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
27.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 1/180 (*.f64 angle (*.f64 (PI.f64) b))) 2))
38.6b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (cbrt.f64 2)))
20.6b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
43.9b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (-.f64 (log.f64 angle) (log.f64 180)))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 180)) (/.f64 angle (sqrt.f64 180))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 angle 180))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
33.9b
(+.f64 (pow.f64 (*.f64 a 1) 2) (log.f64 (exp.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))))
Compiler

Compiled 4575 to 3454 computations (24.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64))))
0.4b
(*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))
1.0b
(sqrt.f64 (PI.f64))
25.6b
(sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))))

series13.0ms (0.1%)

Counts
4 → 36
Calls

4 calls:

5.0ms
(*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))
4.0ms
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64))))
4.0ms
(sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))))
0.0ms
(sqrt.f64 (PI.f64))

rewrite21.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64
19×associate-*l*_binary64
18×add-cbrt-cube_binary64
18×add-exp-log_binary64
16×*-un-lft-identity_binary64
Counts
4 → 89
Calls

4 calls:

7.0ms
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64))))
6.0ms
(*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))
2.0ms
(sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))))
1.0ms
(sqrt.f64 (PI.f64))

simplify85.0ms (0.6%)

Algorithm
egg-herbie
Rules
638×associate-/l*_binary64
509×*-commutative_binary64
466×fma-neg_binary64
306×fma-def_binary64
274×unswap-sqr_binary64
Counts
125 → 139
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01431809
13111444
28651442
320841433
442021433
549051433

prune557.0ms (3.8%)

Pruning

36 alts after pruning (36 fresh and 0 done)

PrunedKeptTotal
New14510155
Fresh12627
Picked101
Done000
Total14736183
Error
18.5b
Counts
183 → 36
Alt Table
StatusErrorProgram
20.0b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 (*.f64 b (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) 2))
43.8b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 angle 180)))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
27.5b
(+.f64 (pow.f64 (*.f64 a 1) 2) (cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))))
27.5b
(+.f64 (pow.f64 (*.f64 a 1) 2) (cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 6)))
20.8b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (expm1.f64 (log1p.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))))
36.6b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (*.f64 1/32400 (*.f64 (pow.f64 angle 2) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2)))))
20.3b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) 2))
20.0b
(+.f64 (pow.f64 (*.f64 a 1) 2) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2)) (cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))) (cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))))
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
30.4b
(+.f64 (pow.f64 (*.f64 a 1) 2) (*.f64 (*.f64 b b) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)))
25.6b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2))
20.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))) 2))
20.4b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 angle) (cbrt.f64 angle))) (/.f64 (cbrt.f64 angle) 180)))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
42.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (*.f64 (sqrt.f64 (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))))) (sqrt.f64 (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))))))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 3))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
19.9b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 1/180 angle) (sqrt.f64 (sqrt.f64 (PI.f64)))))))) 2))
20.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (*.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))))) (cbrt.f64 (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64))))))) (cbrt.f64 (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))))))) 2))
30.4b
(+.f64 (pow.f64 (*.f64 a 1) 2) (*.f64 (*.f64 b b) (pow.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 2)))
20.4b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
27.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 1/180 (*.f64 angle (*.f64 (PI.f64) b))) 2))
20.2b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 1/180 (*.f64 angle (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))))) 2))
20.2b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180))) (*.f64 (cbrt.f64 (/.f64 angle 180)) (sqrt.f64 (PI.f64))))))) 2))
38.6b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (cbrt.f64 2)))
20.6b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
29.4b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (log.f64 (exp.f64 (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))))))) 2))
20.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64))))) (cbrt.f64 (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))))))) 2))
19.8b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) 2))
20.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2))
43.9b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (-.f64 (log.f64 angle) (log.f64 180)))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 180)) (/.f64 angle (sqrt.f64 180))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 angle 180))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
33.9b
(+.f64 (pow.f64 (*.f64 a 1) 2) (log.f64 (exp.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))))
19.9b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 angle 180) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) 2))
Compiler

Compiled 6146 to 4215 computations (31.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (*.f64 b (log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) 2)
0.3b
(*.f64 b (log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
0.3b
(*.f64 1/180 (*.f64 angle (PI.f64)))
25.2b
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))

series49.0ms (0.3%)

Counts
4 → 52
Calls

4 calls:

27.0ms
(pow.f64 (*.f64 b (log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) 2)
15.0ms
(*.f64 b (log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
4.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
3.0ms
(*.f64 1/180 (*.f64 angle (PI.f64)))

rewrite15.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
14×add-exp-log_binary64
14×pow1_binary64
11×add-cbrt-cube_binary64
10×add-sqr-sqrt_binary64
*-un-lft-identity_binary64
Counts
4 → 69
Calls

4 calls:

4.0ms
(pow.f64 (*.f64 b (log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) 2)
4.0ms
(*.f64 1/180 (*.f64 angle (PI.f64)))
3.0ms
(*.f64 b (log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
1.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))

simplify83.0ms (0.6%)

Algorithm
egg-herbie
Rules
776×fma-neg_binary64
562×*-commutative_binary64
528×distribute-rgt-neg-in_binary64
370×fma-def_binary64
286×cancel-sign-sub-inv_binary64
Counts
121 → 117
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01792117
14061991
214421952
332911942
450291942

prune441.0ms (3%)

Pruning

38 alts after pruning (38 fresh and 0 done)

PrunedKeptTotal
New1134117
Fresh13435
Picked101
Done000
Total11538153
Error
18.5b
Counts
153 → 38
Alt Table
StatusErrorProgram
43.8b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 angle 180)))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
27.5b
(+.f64 (pow.f64 (*.f64 a 1) 2) (cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))))
27.5b
(+.f64 (pow.f64 (*.f64 a 1) 2) (cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 6)))
20.8b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (expm1.f64 (log1p.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))))
36.6b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (*.f64 1/32400 (*.f64 (pow.f64 angle 2) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2)))))
20.3b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) 2))
20.0b
(+.f64 (pow.f64 (*.f64 a 1) 2) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2)) (cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))) (cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))))
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.2b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (*.f64 (cbrt.f64 1/180) (cbrt.f64 1/180)) (*.f64 (cbrt.f64 1/180) (*.f64 angle (PI.f64)))))))) 2))
30.4b
(+.f64 (pow.f64 (*.f64 a 1) 2) (*.f64 (*.f64 b b) (pow.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)))
25.6b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2))
20.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))) 2))
20.4b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 angle) (cbrt.f64 angle))) (/.f64 (cbrt.f64 angle) 180)))) 2))
20.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (log1p.f64 (expm1.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 180)) (/.f64 angle (sqrt.f64 180))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
42.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (*.f64 (sqrt.f64 (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))))) (sqrt.f64 (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))))))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 3))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
19.9b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 1/180 angle) (sqrt.f64 (sqrt.f64 (PI.f64)))))))) 2))
20.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (*.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))))) (cbrt.f64 (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64))))))) (cbrt.f64 (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))))))) 2))
30.4b
(+.f64 (pow.f64 (*.f64 a 1) 2) (*.f64 (*.f64 b b) (pow.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 2)))
20.4b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
27.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 1/180 (*.f64 angle (*.f64 (PI.f64) b))) 2))
20.2b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 1/180 (*.f64 angle (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))))) 2))
20.2b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180))) (*.f64 (cbrt.f64 (/.f64 angle 180)) (sqrt.f64 (PI.f64))))))) 2))
38.6b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (cbrt.f64 2)))
20.6b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
29.4b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (log.f64 (exp.f64 (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))))))) 2))
20.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64))))) (cbrt.f64 (*.f64 (/.f64 angle 180) (sqrt.f64 (PI.f64)))))))) 2))
20.1b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) 2))
20.3b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 angle 180))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
20.0b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 (*.f64 (cbrt.f64 b) (cbrt.f64 b)) (*.f64 (cbrt.f64 b) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))) 2))
37.5b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 (sqrt.f64 (*.f64 b (log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))) (sqrt.f64 (*.f64 b (log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))) 2))
19.9b
(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 angle 180) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) 2))
43.9b
(+.f64 (pow.f64 (*.f64 a (cos.f64 (exp.f64 (+.f64 (log.f64 (PI.f64)) (-.f64 (log.f64 angle) (log.f64 180)))))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
33.9b
(+.f64 (pow.f64 (*.f64 a 1) 2) (log.f64 (exp.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))))
Compiler

Compiled 4177 to 3061 computations (26.7% saved)

regimes2.3s (15.2%)

Accuracy

Total 1.4b remaining (6.8%)

Threshold costs 0b (0%)

Counts
221 → 1
Compiler

Compiled 41596 to 33200 computations (20.2% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
*-rgt-identity_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01932
12632
22532

end1.0ms (0%)

Compiler

Compiled 23 to 20 computations (13% saved)

sample7.8s (52.3%)

Algorithm
intervals
Results
1.9s1618×body1024valid
1.8s1423×body1024invalid
885.0ms5027×body128valid
604.0ms789×body512valid
587.0ms730×body512invalid
305.0ms174×body2048valid
171.0ms358×body256invalid
165.0ms390×body256valid
116.0ms646×body128invalid
12.0msbody4096valid
Compiler

Compiled 1209 to 942 computations (22.1% saved)

Profiling

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