Details

Time bar (total: 13.0s)

analyze1.6s (12.4%)

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
31.2%68.6%0.1%7
37.4%62.4%0.1%8
45.2%54.6%0.1%9
45.2%54.6%0.1%10
50.3%49.5%0.1%11
56.4%43.5%0.1%12
56.4%41.4%2.2%13
59.3%37.9%2.8%14
Compiler

Compiled 27 to 22 computations (18.5% saved)

sample5.7s (43.6%)

Results
1.3s1465×body1024valid
1.2s5411×body128valid
1.1s1337×body1024invalid
463.0ms746×body512valid
417.0ms693×body512invalid
315.0ms73×body4096valid
311.0ms1375×body128invalid
267.0ms187×body2048valid
156.0ms374×body256valid
126.0ms297×body256invalid
Compiler

Compiled 54 to 44 computations (18.5% saved)

preprocess32.0ms (0.2%)

Algorithm
egg-herbie
Rules
592×associate-*l*_binary64
575×associate-*r*_binary64
233×distribute-rgt-in_binary64
230×distribute-lft-in_binary64
207×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038148
192148
2262148
3922148
43731148
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 angle 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 a 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 a 180))))
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 angle 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 b 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 b 180))))
Outputs
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(*.f64 (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) (cos.f64 (/.f64 (PI.f64) (/.f64 180 angle)))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 a 2) (pow.f64 b 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(*.f64 (*.f64 2 (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(*.f64 (cos.f64 (/.f64 (PI.f64) (/.f64 180 angle))) (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 2 (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle))))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (-.f64 (*.f64 a a) (*.f64 b b)))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (-.f64 (*.f64 a a) (*.f64 b b)))))
(*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (*.f64 a a) (*.f64 b b)))))
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 angle 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 a 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 a 180))))
(*.f64 (*.f64 2 (-.f64 (*.f64 b b) (*.f64 angle angle))) (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 a 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 a 180)))))
(*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 angle angle)) (sin.f64 (*.f64 (PI.f64) (/.f64 a 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 a 180)))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 angle angle)) (*.f64 (*.f64 2 (sin.f64 (*.f64 (PI.f64) (/.f64 a 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 a 180)))))
(*.f64 (*.f64 (*.f64 2 (+.f64 b angle)) (*.f64 (sin.f64 (*.f64 a (/.f64 (PI.f64) 180))) (-.f64 b angle))) (cos.f64 (*.f64 a (/.f64 (PI.f64) 180))))
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 angle 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 b 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 b 180))))
(*.f64 (*.f64 2 (-.f64 (*.f64 angle angle) (*.f64 a a))) (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 b 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 b 180)))))
(*.f64 2 (*.f64 (-.f64 (*.f64 angle angle) (*.f64 a a)) (*.f64 (sin.f64 (/.f64 (PI.f64) (/.f64 180 b))) (cos.f64 (/.f64 (PI.f64) (/.f64 180 b))))))
(*.f64 (-.f64 (*.f64 angle angle) (*.f64 a a)) (*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 b 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 b 180))))))
(*.f64 2 (*.f64 (*.f64 (+.f64 a angle) (-.f64 angle a)) (*.f64 (sin.f64 (/.f64 b (/.f64 180 (PI.f64)))) (cos.f64 (/.f64 b (/.f64 180 (PI.f64)))))))
Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify23.0ms (0.2%)

Algorithm
egg-herbie
Rules
387×unsub-neg_binary64
324×distribute-rgt-in_binary64
306×distribute-lft-in_binary64
302×*-commutative_binary64
278×associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01737
13737
29137
327537
4108137
5314537
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
Outputs
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(*.f64 (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
(*.f64 2 (*.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
(*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (*.f64 -2 (-.f64 (*.f64 a a) (*.f64 b b))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
28.7b
Counts
3 → 2
Alt Table
StatusErrorProgram
28.7b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
28.7b
(*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 (*.f64 -2 (-.f64 (*.f64 a a) (*.f64 b b))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))
Compiler

Compiled 153 to 116 computations (24.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.2b
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
19.7b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
19.9b
(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

series18.0ms (0.1%)

Counts
4 → 66
Calls

21 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
2.0ms
angle
@0
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
2.0ms
angle
@-inf
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
2.0ms
b
@0
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
1.0ms
b
@inf
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

rewrite73.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
751×prod-diff_binary64
172×add-sqr-sqrt_binary64
167×pow1_binary64
165×*-un-lft-identity_binary64
161×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01655
134555
2425455
Stop Event
node limit
Counts
4 → 156
Calls
Call 1
Inputs
(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))))
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simplify43.0ms (0.3%)

Algorithm
egg-herbie
Rules
785×fma-def_binary64
482×cancel-sign-sub-inv_binary64
434×*-commutative_binary64
258×unswap-sqr_binary64
237×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01211836
13741516
214681474
Stop Event
node limit
Counts
222 → 194
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(-.f64 (+.f64 (*.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) 1) (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(-.f64 (+.f64 (*.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) 1) (+.f64 (*.f64 1/24488801280000000 (*.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(*.f64 1/180 (*.f64 angle (PI.f64)))
(-.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) (*.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) (*.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (*.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) (*.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 1/30855889612800000000 (*.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (*.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(*.f64 -2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 -2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 -2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 angle (-.f64 (*.f64 1/90 (*.f64 (PI.f64) (pow.f64 b 2))) (*.f64 1/90 (*.f64 (pow.f64 a 2) (PI.f64)))))
(-.f64 (+.f64 (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 a 2)))) (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 b 2))))) (+.f64 (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 a 2)))) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2))))))
(-.f64 (+.f64 (*.f64 1/11337408000000 (*.f64 (pow.f64 angle 5) (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 b 2)))) (+.f64 (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 b 2)))) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 1/11337408000000 (*.f64 (pow.f64 angle 5) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 a 2)))) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2)))))))
(-.f64 (+.f64 (*.f64 1/15427944806400000000 (*.f64 (pow.f64 angle 7) (*.f64 (pow.f64 (PI.f64) 7) (pow.f64 a 2)))) (+.f64 (*.f64 1/11337408000000 (*.f64 (pow.f64 angle 5) (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 b 2)))) (+.f64 (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 b 2)))) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3))))))) (+.f64 (*.f64 1/11337408000000 (*.f64 (pow.f64 angle 5) (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 a 2)))) (+.f64 (*.f64 1/15427944806400000000 (*.f64 (pow.f64 angle 7) (*.f64 (pow.f64 (PI.f64) 7) (pow.f64 b 2)))) (+.f64 (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 a 2)))) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2))))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 -1 (pow.f64 a 2))
(pow.f64 b 2)
(pow.f64 b 2)
(pow.f64 b 2)
(*.f64 -1 (pow.f64 a 2))
(*.f64 -1 (pow.f64 a 2))
Outputs
1
(-.f64 1 (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(-.f64 1 (*.f64 (*.f64 1/64800 (*.f64 angle angle)) (pow.f64 (PI.f64) 2)))
(+.f64 1 (*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) angle) angle) -1/64800))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/64800) (*.f64 angle angle) 1)
(-.f64 (+.f64 (*.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) 1) (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1) (*.f64 -1/64800 (*.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(+.f64 (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1) (*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) angle) angle) -1/64800))
(fma.f64 (*.f64 angle (*.f64 angle (pow.f64 (PI.f64) 2))) -1/64800 (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1))
(-.f64 (+.f64 (*.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) 1) (+.f64 (*.f64 1/24488801280000000 (*.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1) (fma.f64 1/24488801280000000 (*.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) (*.f64 (*.f64 1/64800 (*.f64 angle angle)) (pow.f64 (PI.f64) 2))))
(-.f64 (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1) (fma.f64 1/24488801280000000 (*.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) (*.f64 1/64800 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) angle) angle))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 angle 6) -1/24488801280000000)) (fma.f64 (*.f64 angle (*.f64 angle (pow.f64 (PI.f64) 2))) -1/64800 (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(*.f64 1/180 (*.f64 angle (PI.f64)))
(*.f64 (*.f64 1/180 angle) (PI.f64))
(*.f64 (PI.f64) (*.f64 angle 1/180))
(-.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) (*.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(-.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)) (*.f64 (*.f64 1/34992000 (pow.f64 angle 3)) (pow.f64 (PI.f64) 3)))
(fma.f64 1/180 (*.f64 angle (PI.f64)) (*.f64 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/34992000) (pow.f64 angle 3) (*.f64 1/180 (*.f64 angle (PI.f64))))
(-.f64 (+.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) (*.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (*.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (fma.f64 1/180 (*.f64 angle (PI.f64)) (*.f64 (*.f64 1/22674816000000 (pow.f64 angle 5)) (pow.f64 (PI.f64) 5))) (*.f64 -1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(fma.f64 1/180 (*.f64 angle (PI.f64)) (fma.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (*.f64 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000)))
(fma.f64 (pow.f64 angle 5) (*.f64 1/22674816000000 (pow.f64 (PI.f64) 5)) (fma.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/34992000) (pow.f64 angle 3) (*.f64 1/180 (*.f64 angle (PI.f64)))))
(-.f64 (+.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) (*.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 1/30855889612800000000 (*.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (*.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(-.f64 (fma.f64 1/180 (*.f64 angle (PI.f64)) (*.f64 (*.f64 1/22674816000000 (pow.f64 angle 5)) (pow.f64 (PI.f64) 5))) (fma.f64 1/30855889612800000000 (*.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7)) (*.f64 (*.f64 1/34992000 (pow.f64 angle 3)) (pow.f64 (PI.f64) 3))))
(-.f64 (fma.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (*.f64 (PI.f64) (*.f64 angle 1/180))) (fma.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 1/30855889612800000000 (pow.f64 angle 7)))))
(fma.f64 angle (*.f64 (PI.f64) 1/180) (fma.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (fma.f64 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000 (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 angle 7) -1/30855889612800000000)))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))
(sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))
(sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))
(sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))
(sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))
(sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))
(sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))
(sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))
(sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(*.f64 -2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 a a)))
(*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 -2 (*.f64 a a)))
(*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 -2 (*.f64 a a)))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 a a))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 a a))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 a a))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 (*.f64 2 (*.f64 b b)) (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 b b)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 b b)))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 a a))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 a a))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 a a))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 (*.f64 2 (*.f64 b b)) (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 b b)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 b b)))
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(*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 a a))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 a a))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 a a))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) (*.f64 a a))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (-.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(pow.f64 b 2)
(*.f64 b b)
(pow.f64 b 2)
(*.f64 b b)
(pow.f64 b 2)
(*.f64 b b)
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))

prune318.0ms (2.4%)

Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New16628194
Fresh101
Picked101
Done000
Total16828196
Error
26.1b
Counts
196 → 28
Alt Table
StatusErrorProgram
44.4b
(*.f64 (*.f64 (*.f64 2 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
49.3b
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))) 3) 1/3) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
28.4b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
40.1b
(*.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
50.9b
(*.f64 (*.f64 (*.f64 2 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (neg.f64 a))) 3) 1/3)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
32.9b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (fma.f64 angle (*.f64 (PI.f64) 1/180) (fma.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (fma.f64 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000 (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 angle 7) -1/30855889612800000000)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
43.2b
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
44.7b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
28.6b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))
29.0b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
40.3b
(*.f64 (*.f64 (*.f64 2 (pow.f64 b 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
31.6b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/64800) (*.f64 angle angle) 1))
53.1b
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a))))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
42.0b
(*.f64 (*.f64 (*.f64 2 (*.f64 a (neg.f64 a))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.0b
(*.f64 (*.f64 (*.f64 2 (*.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))) 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.0b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)
45.6b
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
32.8b
(*.f64 (-.f64 (+.f64 (fma.f64 angle (*.f64 (PI.f64) (*.f64 (*.f64 b b) 1/90)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 a a))))) (*.f64 (*.f64 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) 1/11337408000000) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 angle (*.f64 (PI.f64) (*.f64 (*.f64 a a) 1/90)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 b b) (*.f64 (pow.f64 angle 3) 1/17496000))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
42.4b
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a))))) 2) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
32.6b
(*.f64 (-.f64 (+.f64 (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 a 2)))) (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 b 2))))) (+.f64 (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 a 2)))) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
28.9b
(*.f64 (*.f64 (*.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) b) (*.f64 a (neg.f64 a))) (fma.f64 (neg.f64 a) a (*.f64 a a)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
28.9b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a))))) 3) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
28.6b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))
41.8b
(*.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
47.5b
(*.f64 (*.f64 (*.f64 2 (sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (neg.f64 a))) 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
43.8b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
44.4b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
28.6b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
Compiler

Compiled 8676 to 5356 computations (38.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.2b
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
19.7b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
19.9b
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
angle
@0
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
0.0ms
angle
@inf
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
0.0ms
angle
@-inf
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))

rewrite32.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
652×pow1_binary64
600×add-log-exp_binary64
600×log1p-expm1-u_binary64
600×expm1-log1p-u_binary64
70×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114010
2162310
Stop Event
node limit
Counts
1 → 17
Calls
Call 1
Inputs
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 2) (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) (sqrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))))

simplify34.0ms (0.3%)

Algorithm
egg-herbie
Rules
848×distribute-rgt-neg-in_binary64
487×fma-def_binary64
475×cancel-sign-sub-inv_binary64
305×*-commutative_binary64
274×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031174
184174
2250170
31171168
44105162
Stop Event
node limit
Counts
29 → 26
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(-.f64 (+.f64 (*.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) 1) (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(-.f64 (+.f64 (*.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) 1) (+.f64 (*.f64 1/24488801280000000 (*.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
Outputs
1
(-.f64 1 (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (*.f64 -1/64800 (*.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(-.f64 1 (*.f64 1/64800 (*.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(fma.f64 (*.f64 angle (*.f64 angle (pow.f64 (PI.f64) 2))) -1/64800 1)
(fma.f64 angle (*.f64 -1/64800 (*.f64 angle (pow.f64 (PI.f64) 2))) 1)
(-.f64 (+.f64 (*.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) 1) (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1) (*.f64 -1/64800 (*.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(-.f64 (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1) (*.f64 1/64800 (*.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(fma.f64 (*.f64 (*.f64 angle angle) -1/64800) (pow.f64 (PI.f64) 2) (fma.f64 (pow.f64 angle 4) (*.f64 1/25194240000 (pow.f64 (PI.f64) 4)) 1))
(fma.f64 angle (*.f64 -1/64800 (*.f64 angle (pow.f64 (PI.f64) 2))) (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1))
(fma.f64 angle (*.f64 -1/64800 (*.f64 angle (pow.f64 (PI.f64) 2))) (fma.f64 1/25194240000 (pow.f64 (*.f64 angle (PI.f64)) 4) 1))
(-.f64 (+.f64 (*.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) 1) (+.f64 (*.f64 1/24488801280000000 (*.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1) (fma.f64 1/24488801280000000 (*.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) (*.f64 1/64800 (*.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2)))))
(-.f64 (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1) (fma.f64 1/64800 (*.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2)) (*.f64 1/24488801280000000 (*.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)))))
(+.f64 (fma.f64 (pow.f64 angle 4) (*.f64 1/25194240000 (pow.f64 (PI.f64) 4)) 1) (fma.f64 (*.f64 angle (*.f64 angle (pow.f64 (PI.f64) 2))) -1/64800 (*.f64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 angle 6) -1/24488801280000000))))
(fma.f64 angle (*.f64 -1/64800 (*.f64 angle (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 angle 6) (*.f64 (pow.f64 (PI.f64) 6) -1/24488801280000000) (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1)))
(fma.f64 (pow.f64 angle 6) (*.f64 (pow.f64 (PI.f64) 6) -1/24488801280000000) (fma.f64 angle (*.f64 -1/64800 (*.f64 angle (pow.f64 (PI.f64) 2))) (fma.f64 1/25194240000 (pow.f64 (*.f64 angle (PI.f64)) 4) 1)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))

prune409.0ms (3.1%)

Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New18112193
Fresh62127
Picked101
Done000
Total18833221
Error
26.1b
Counts
221 → 33
Alt Table
StatusErrorProgram
44.4b
(*.f64 (*.f64 (*.f64 2 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
49.3b
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))) 3) 1/3) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
44.4b
(*.f64 (*.f64 (*.f64 2 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
28.9b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 3)) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
40.1b
(*.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
44.2b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
41.8b
(*.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
50.9b
(*.f64 (*.f64 (*.f64 2 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (neg.f64 a))) 3) 1/3)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
32.9b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (fma.f64 angle (*.f64 (PI.f64) 1/180) (fma.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (fma.f64 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000 (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 angle 7) -1/30855889612800000000)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
43.2b
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
44.7b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.0b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
40.3b
(*.f64 (*.f64 (*.f64 2 (pow.f64 b 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
31.6b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/64800) (*.f64 angle angle) 1))
28.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
53.1b
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a))))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
42.0b
(*.f64 (*.f64 (*.f64 2 (*.f64 a (neg.f64 a))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
43.4b
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
29.0b
(*.f64 (*.f64 (*.f64 2 (*.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))) 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.0b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)
28.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)))
45.6b
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
32.8b
(*.f64 (-.f64 (+.f64 (fma.f64 angle (*.f64 (PI.f64) (*.f64 (*.f64 b b) 1/90)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 a a))))) (*.f64 (*.f64 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) 1/11337408000000) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 angle (*.f64 (PI.f64) (*.f64 (*.f64 a a) 1/90)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 b b) (*.f64 (pow.f64 angle 3) 1/17496000))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
42.4b
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a))))) 2) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
32.6b
(*.f64 (-.f64 (+.f64 (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 a 2)))) (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 b 2))))) (+.f64 (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 a 2)))) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
47.7b
(*.f64 (*.f64 (*.f64 2 (sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (neg.f64 a))) 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
28.7b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
28.6b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))
44.4b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
51.7b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
28.8b
(*.f64 (*.f64 (*.f64 2 (+.f64 (fma.f64 (*.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (neg.f64 (*.f64 (cbrt.f64 a) (*.f64 a (pow.f64 (cbrt.f64 a) 2))))) (fma.f64 (neg.f64 (cbrt.f64 a)) (*.f64 a (pow.f64 (cbrt.f64 a) 2)) (*.f64 (cbrt.f64 a) (*.f64 a (pow.f64 (cbrt.f64 a) 2)))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
28.8b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a))))) 3) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
28.6b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
Compiler

Compiled 9587 to 6203 computations (35.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.2b
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
19.7b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
19.8b
(cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
angle
@0
(cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))
0.0ms
angle
@inf
(cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))
0.0ms
angle
@-inf
(cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))

rewrite31.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
650×pow1_binary64
598×add-log-exp_binary64
598×log1p-expm1-u_binary64
598×expm1-log1p-u_binary64
70×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114010
2161810
Stop Event
node limit
Counts
1 → 17
Calls
Call 1
Inputs
(cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle)))) (sqrt.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle)))))))))

simplify29.0ms (0.2%)

Algorithm
egg-herbie
Rules
848×distribute-rgt-neg-in_binary64
487×fma-def_binary64
475×cancel-sign-sub-inv_binary64
305×*-commutative_binary64
274×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031174
184174
2250170
31171168
44105162
Stop Event
node limit
Counts
29 → 26
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(-.f64 (+.f64 (*.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) 1) (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(-.f64 (+.f64 (*.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) 1) (+.f64 (*.f64 1/24488801280000000 (*.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
Outputs
1
(-.f64 1 (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (*.f64 -1/64800 (*.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(-.f64 1 (*.f64 1/64800 (*.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(fma.f64 (*.f64 angle (*.f64 angle (pow.f64 (PI.f64) 2))) -1/64800 1)
(fma.f64 angle (*.f64 -1/64800 (*.f64 angle (pow.f64 (PI.f64) 2))) 1)
(-.f64 (+.f64 (*.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) 1) (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1) (*.f64 -1/64800 (*.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(-.f64 (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1) (*.f64 1/64800 (*.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(fma.f64 (*.f64 (*.f64 angle angle) -1/64800) (pow.f64 (PI.f64) 2) (fma.f64 (pow.f64 angle 4) (*.f64 1/25194240000 (pow.f64 (PI.f64) 4)) 1))
(fma.f64 angle (*.f64 -1/64800 (*.f64 angle (pow.f64 (PI.f64) 2))) (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1))
(fma.f64 angle (*.f64 -1/64800 (*.f64 angle (pow.f64 (PI.f64) 2))) (fma.f64 1/25194240000 (pow.f64 (*.f64 angle (PI.f64)) 4) 1))
(-.f64 (+.f64 (*.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) 1) (+.f64 (*.f64 1/24488801280000000 (*.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1) (fma.f64 1/24488801280000000 (*.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) (*.f64 1/64800 (*.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2)))))
(-.f64 (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1) (fma.f64 1/64800 (*.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2)) (*.f64 1/24488801280000000 (*.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)))))
(+.f64 (fma.f64 (pow.f64 angle 4) (*.f64 1/25194240000 (pow.f64 (PI.f64) 4)) 1) (fma.f64 (*.f64 angle (*.f64 angle (pow.f64 (PI.f64) 2))) -1/64800 (*.f64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 angle 6) -1/24488801280000000))))
(fma.f64 angle (*.f64 -1/64800 (*.f64 angle (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 angle 6) (*.f64 (pow.f64 (PI.f64) 6) -1/24488801280000000) (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1)))
(fma.f64 (pow.f64 angle 6) (*.f64 (pow.f64 (PI.f64) 6) -1/24488801280000000) (fma.f64 angle (*.f64 -1/64800 (*.f64 angle (pow.f64 (PI.f64) 2))) (fma.f64 1/25194240000 (pow.f64 (*.f64 angle (PI.f64)) 4) 1)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))

prune588.0ms (4.5%)

Pruning

40 alts after pruning (40 fresh and 0 done)

PrunedKeptTotal
New17716193
Fresh82432
Picked101
Done000
Total18640226
Error
26.1b
Counts
226 → 40
Alt Table
StatusErrorProgram
44.4b
(*.f64 (*.f64 (*.f64 2 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
28.9b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 3)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
40.5b
(*.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 b b))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
44.4b
(*.f64 (*.f64 (*.f64 2 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
28.9b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 3)) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
30.9b
(*.f64 (*.f64 angle (-.f64 (*.f64 1/90 (*.f64 (PI.f64) (pow.f64 b 2))) (*.f64 1/90 (*.f64 (pow.f64 a 2) (PI.f64))))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
44.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
40.1b
(*.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
41.7b
(*.f64 (*.f64 (*.f64 2 (*.f64 a (neg.f64 a))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
44.4b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
49.3b
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))) 3) 1/3) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
28.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
51.7b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
28.8b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a))))) 3) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
28.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (exp.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle)))))) 3) 2)))
45.8b
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))) 2)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
50.9b
(*.f64 (*.f64 (*.f64 2 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (neg.f64 a))) 3) 1/3)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
32.9b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (fma.f64 angle (*.f64 (PI.f64) 1/180) (fma.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (fma.f64 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000 (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 angle 7) -1/30855889612800000000)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
28.8b
(*.f64 (*.f64 (*.f64 2 (+.f64 (fma.f64 (*.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (neg.f64 (*.f64 (cbrt.f64 a) (*.f64 a (pow.f64 (cbrt.f64 a) 2))))) (fma.f64 (neg.f64 (cbrt.f64 a)) (*.f64 a (pow.f64 (cbrt.f64 a) 2)) (*.f64 (cbrt.f64 a) (*.f64 a (pow.f64 (cbrt.f64 a) 2)))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
53.1b
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a))))))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
47.7b
(*.f64 (*.f64 (*.f64 2 (sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (neg.f64 a))) 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
28.6b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
29.0b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
40.3b
(*.f64 (*.f64 (*.f64 2 (pow.f64 b 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
31.6b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/64800) (*.f64 angle angle) 1))
28.6b
(*.f64 (*.f64 (*.f64 2 (+.f64 (fma.f64 b b (neg.f64 (*.f64 (cbrt.f64 a) (*.f64 a (pow.f64 (cbrt.f64 a) 2))))) (fma.f64 (neg.f64 (cbrt.f64 a)) (*.f64 a (pow.f64 (cbrt.f64 a) 2)) (*.f64 (cbrt.f64 a) (*.f64 a (pow.f64 (cbrt.f64 a) 2)))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
44.4b
(*.f64 (*.f64 (*.f64 2 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
43.4b
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
43.4b
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
29.0b
(*.f64 (*.f64 (*.f64 2 (*.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))) 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.0b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)
28.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)))
32.8b
(*.f64 (-.f64 (+.f64 (fma.f64 angle (*.f64 (PI.f64) (*.f64 (*.f64 b b) 1/90)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 a a))))) (*.f64 (*.f64 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) 1/11337408000000) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 angle (*.f64 (PI.f64) (*.f64 (*.f64 a a) 1/90)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 b b) (*.f64 (pow.f64 angle 3) 1/17496000))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
47.7b
(*.f64 (*.f64 (*.f64 2 (sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (neg.f64 a))) 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
28.7b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
28.6b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))
41.8b
(*.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
43.2b
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
42.1b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))) 3)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
32.6b
(*.f64 (-.f64 (+.f64 (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 a 2)))) (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 b 2))))) (+.f64 (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 a 2)))) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
Compiler

Compiled 10766 to 7251 computations (32.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.2b
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))
19.7b
(sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
19.8b
(cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))
0.0ms
angle
@0
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))
0.0ms
b
@0
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))
0.0ms
angle
@0
(sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
0.0ms
angle
@inf
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))

rewrite53.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
849×prod-diff_binary64
166×add-sqr-sqrt_binary64
164×pow1_binary64
161×*-un-lft-identity_binary64
158×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01735
134035
2408935
Stop Event
node limit
Counts
2 → 32
Calls
Call 1
Inputs
(sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 2) (cbrt.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) (sqrt.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 2) (-.f64 (*.f64 b b) (*.f64 a a))) (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))) 3) (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 3) (pow.f64 (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))))))))))

simplify51.0ms (0.4%)

Algorithm
egg-herbie
Rules
710×fma-def_binary64
414×cancel-sign-sub-inv_binary64
400×sub-neg_binary64
376×*-commutative_binary64
216×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0951632
13041312
212351272
346241272
Stop Event
node limit
Counts
80 → 57
Calls
Call 1
Inputs
(*.f64 1/180 (*.f64 angle (PI.f64)))
(-.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) (*.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) (*.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (*.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) (*.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 1/30855889612800000000 (*.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (*.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(*.f64 -2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 -2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 -2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 angle (-.f64 (*.f64 1/90 (*.f64 (PI.f64) (pow.f64 b 2))) (*.f64 1/90 (*.f64 (pow.f64 a 2) (PI.f64)))))
(-.f64 (+.f64 (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 a 2)))) (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 b 2))))) (+.f64 (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 a 2)))) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2))))))
(-.f64 (+.f64 (*.f64 1/11337408000000 (*.f64 (pow.f64 angle 5) (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 b 2)))) (+.f64 (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 b 2)))) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 1/11337408000000 (*.f64 (pow.f64 angle 5) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 a 2)))) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2)))))))
(-.f64 (+.f64 (*.f64 1/15427944806400000000 (*.f64 (pow.f64 angle 7) (*.f64 (pow.f64 (PI.f64) 7) (pow.f64 a 2)))) (+.f64 (*.f64 1/11337408000000 (*.f64 (pow.f64 angle 5) (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 b 2)))) (+.f64 (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 b 2)))) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3))))))) (+.f64 (*.f64 1/11337408000000 (*.f64 (pow.f64 angle 5) (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 a 2)))) (+.f64 (*.f64 1/15427944806400000000 (*.f64 (pow.f64 angle 7) (*.f64 (pow.f64 (PI.f64) 7) (pow.f64 b 2)))) (+.f64 (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 a 2)))) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2))))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
Outputs
(*.f64 1/180 (*.f64 angle (PI.f64)))
(*.f64 (PI.f64) (*.f64 1/180 angle))
(-.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) (*.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(-.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) (*.f64 (*.f64 1/34992000 (pow.f64 angle 3)) (pow.f64 (PI.f64) 3)))
(fma.f64 1/180 (*.f64 angle (PI.f64)) (*.f64 (*.f64 -1/34992000 (pow.f64 angle 3)) (pow.f64 (PI.f64) 3)))
(fma.f64 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000 (*.f64 1/180 (*.f64 angle (PI.f64))))
(-.f64 (+.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) (*.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (*.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (fma.f64 1/180 (*.f64 angle (PI.f64)) (*.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (*.f64 -1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(fma.f64 1/180 (*.f64 angle (PI.f64)) (fma.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (*.f64 (*.f64 -1/34992000 (pow.f64 angle 3)) (pow.f64 (PI.f64) 3))))
(fma.f64 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000 (fma.f64 1/180 (*.f64 angle (PI.f64)) (*.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) (*.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 1/30855889612800000000 (*.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (*.f64 1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(-.f64 (fma.f64 1/180 (*.f64 angle (PI.f64)) (*.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (fma.f64 1/30855889612800000000 (*.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7)) (*.f64 (*.f64 1/34992000 (pow.f64 angle 3)) (pow.f64 (PI.f64) 3))))
(-.f64 (fma.f64 1/180 (*.f64 angle (PI.f64)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/22674816000000 (pow.f64 angle 5)))) (fma.f64 1/30855889612800000000 (*.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/34992000 (pow.f64 angle 3)))))
(fma.f64 1/180 (*.f64 angle (PI.f64)) (fma.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (fma.f64 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000 (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 angle 7) -1/30855889612800000000)))))
(fma.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (fma.f64 1/180 (*.f64 angle (PI.f64)) (fma.f64 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000 (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 angle 7) -1/30855889612800000000)))))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle)))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle)))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle)))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle)))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle)))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle)))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle)))
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
(sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle)))
(*.f64 -2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 (*.f64 -2 (*.f64 a a)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
(*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle))) (*.f64 -2 (*.f64 a a)))
(*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 -2 (*.f64 a a)))
(-.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (*.f64 2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 a a))))
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(+.f64 (fma.f64 angle (*.f64 (PI.f64) (*.f64 (*.f64 b b) 1/90)) (*.f64 (pow.f64 angle 3) (*.f64 1/17496000 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 a a))))) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) 1/11337408000000) (-.f64 (*.f64 b b) (*.f64 a a))) (fma.f64 angle (*.f64 (PI.f64) (*.f64 (*.f64 a a) 1/90)) (*.f64 (pow.f64 angle 3) (*.f64 1/17496000 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 b b)))))))
(-.f64 (+.f64 (*.f64 1/15427944806400000000 (*.f64 (pow.f64 angle 7) (*.f64 (pow.f64 (PI.f64) 7) (pow.f64 a 2)))) (+.f64 (*.f64 1/11337408000000 (*.f64 (pow.f64 angle 5) (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 b 2)))) (+.f64 (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 b 2)))) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 a 2) (pow.f64 (PI.f64) 3))))))) (+.f64 (*.f64 1/11337408000000 (*.f64 (pow.f64 angle 5) (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 a 2)))) (+.f64 (*.f64 1/15427944806400000000 (*.f64 (pow.f64 angle 7) (*.f64 (pow.f64 (PI.f64) 7) (pow.f64 b 2)))) (+.f64 (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 a 2)))) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2))))))))
(-.f64 (fma.f64 1/15427944806400000000 (*.f64 (pow.f64 angle 7) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 a a))) (fma.f64 1/11337408000000 (*.f64 (pow.f64 angle 5) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 b b))) (fma.f64 1/90 (*.f64 (*.f64 angle (PI.f64)) (*.f64 b b)) (*.f64 1/17496000 (*.f64 (*.f64 (pow.f64 angle 3) (*.f64 a a)) (pow.f64 (PI.f64) 3)))))) (fma.f64 1/11337408000000 (*.f64 (pow.f64 angle 5) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 a a))) (fma.f64 1/15427944806400000000 (*.f64 (*.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7)) (*.f64 b b)) (fma.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (*.f64 a a))) (*.f64 1/17496000 (*.f64 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (*.f64 b b)))))))
(-.f64 (fma.f64 1/15427944806400000000 (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 angle 7) (*.f64 a a))) (fma.f64 1/11337408000000 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 b b) (pow.f64 angle 5))) (fma.f64 1/90 (*.f64 (PI.f64) (*.f64 angle (*.f64 b b))) (*.f64 1/17496000 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 angle 3) (*.f64 a a))))))) (fma.f64 1/11337408000000 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 angle 5) (*.f64 a a))) (fma.f64 1/15427944806400000000 (*.f64 (pow.f64 angle 7) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 b b))) (fma.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (*.f64 a a))) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 b b)) (*.f64 (pow.f64 angle 3) 1/17496000))))))
(+.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 b b) (*.f64 angle 1/90))) (*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) 1/17496000) (*.f64 (*.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7)) 1/15427944806400000000)))) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) 1/11337408000000) (-.f64 (*.f64 b b) (*.f64 a a))) (fma.f64 angle (*.f64 (PI.f64) (*.f64 (*.f64 a a) 1/90)) (*.f64 (*.f64 b b) (+.f64 (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 angle 7) 1/15427944806400000000)) (*.f64 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) 1/17496000))))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 a a))))
(*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 a a))))
(*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 a a))))
(*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 a a))))
(*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 a a))))
(*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 a a))))
(*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 a a))))
(*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))
(*.f64 2 (-.f64 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 b b)) (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 a a))))
(*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 1/180 angle))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))

prune560.0ms (4.3%)

Pruning

39 alts after pruning (39 fresh and 0 done)

PrunedKeptTotal
New1866192
Fresh63339
Picked101
Done000
Total19339232
Error
26.0b
Counts
232 → 39
Alt Table
StatusErrorProgram
44.4b
(*.f64 (*.f64 (*.f64 2 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
28.9b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 3)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
40.5b
(*.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 b b))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
44.4b
(*.f64 (*.f64 (*.f64 2 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
40.1b
(*.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
41.7b
(*.f64 (*.f64 (*.f64 2 (*.f64 a (neg.f64 a))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
44.4b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
49.3b
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))) 3) 1/3) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
51.7b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
28.8b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a))))) 3) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
28.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (exp.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle)))))) 3) 2)))
44.4b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 1/180 (PI.f64)))) 2))))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
45.8b
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))) 2)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
50.9b
(*.f64 (*.f64 (*.f64 2 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (neg.f64 a))) 3) 1/3)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.0b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 1) 3) 2)))
43.2b
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
28.8b
(*.f64 (*.f64 (*.f64 2 (+.f64 (fma.f64 (*.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (neg.f64 (*.f64 (cbrt.f64 a) (*.f64 a (pow.f64 (cbrt.f64 a) 2))))) (fma.f64 (neg.f64 (cbrt.f64 a)) (*.f64 a (pow.f64 (cbrt.f64 a) 2)) (*.f64 (cbrt.f64 a) (*.f64 a (pow.f64 (cbrt.f64 a) 2)))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
53.1b
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a))))))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
47.7b
(*.f64 (*.f64 (*.f64 2 (sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (neg.f64 a))) 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
28.6b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
31.6b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/64800) (*.f64 angle angle) 1))
28.8b
(*.f64 (*.f64 (*.f64 2 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))) 2) (cbrt.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
29.0b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
40.3b
(*.f64 (*.f64 (*.f64 2 (pow.f64 b 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
28.6b
(*.f64 (*.f64 (*.f64 2 (+.f64 (fma.f64 b b (neg.f64 (*.f64 (cbrt.f64 a) (*.f64 a (pow.f64 (cbrt.f64 a) 2))))) (fma.f64 (neg.f64 (cbrt.f64 a)) (*.f64 a (pow.f64 (cbrt.f64 a) 2)) (*.f64 (cbrt.f64 a) (*.f64 a (pow.f64 (cbrt.f64 a) 2)))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
44.4b
(*.f64 (*.f64 (*.f64 2 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
43.4b
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
28.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)))
28.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 (PI.f64) angle)))))) 3) 2)))
32.8b
(*.f64 (-.f64 (+.f64 (fma.f64 angle (*.f64 (PI.f64) (*.f64 (*.f64 b b) 1/90)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 a a))))) (*.f64 (*.f64 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) 1/11337408000000) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 angle (*.f64 (PI.f64) (*.f64 (*.f64 a a) 1/90)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 b b) (*.f64 (pow.f64 angle 3) 1/17496000))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
32.6b
(*.f64 (-.f64 (+.f64 (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 a 2)))) (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 b 2))))) (+.f64 (*.f64 1/90 (*.f64 angle (*.f64 (PI.f64) (pow.f64 a 2)))) (*.f64 1/17496000 (*.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
30.9b
(*.f64 (*.f64 angle (*.f64 1/90 (*.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
28.6b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))
49.3b
(*.f64 (*.f64 (*.f64 2 (+.f64 (fma.f64 (*.f64 b (sqrt.f64 b)) (sqrt.f64 b) (*.f64 a (neg.f64 a))) (fma.f64 (neg.f64 a) a (*.f64 a a)))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
47.7b
(*.f64 (*.f64 (*.f64 2 (sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (neg.f64 a))) 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
28.7b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))
41.8b
(*.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
42.1b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))) 3)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 angle (*.f64 1/180 (PI.f64))))) 3) 2)))
29.0b
(*.f64 (*.f64 (*.f64 2 (*.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (neg.f64 a)))) 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
Compiler

Compiled 9659 to 6446 computations (33.3% saved)

regimes2.5s (19.3%)

Accuracy

Total 2.8b remaining (9%)

Threshold costs 0b (0%)

Counts
307 → 1
Compiler

Compiled 11666 to 6817 computations (41.6% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02037
12837
23337
33537
43637
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
Outputs
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

end830.0ms (6.4%)

Stop Event
fuel
Compiler

Compiled 1436 to 1113 computations (22.5% saved)

Profiling

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