Details

Time bar (total: 11.4s)

analyze2.4s (21.4%)

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
0%99.9%0.1%6
0%99.9%0.1%7
0%93.6%6.4%8
6.2%87.4%6.4%9
10.9%79.6%9.5%10
13.7%73.7%12.6%11
17.7%68.8%13.4%12
20.8%64.1%15.1%13
23.1%60.6%16.4%14
Compiler

Compiled 31 to 24 computations (22.6% saved)

sample4.4s (38.9%)

Results
2.1s2307×body1024valid
1.0s4201×body128valid
788.0ms1190×body512valid
231.0ms549×body256valid
200.0ms843×body128invalid
12.0msbody2048valid
2.0msbody1024invalid

preprocess44.0ms (0.4%)

Algorithm
egg-herbie
Rules
523×fma-def_binary64
440×fma-neg_binary64
358×distribute-rgt-neg-in_binary64
324×associate-/l*_binary64
264×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056140
1138112
2339112
3808112
42075112
54823112
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 F)))) (*.f64 (/.f64 B (sin.f64 F)) (pow.f64 (+.f64 (+.f64 (*.f64 B B) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 F (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 x (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 x x) 2) (*.f64 2 F)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 B (/.f64 1 (tan.f64 x)))) (*.f64 (/.f64 F (sin.f64 x)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 B)) (neg.f64 (/.f64 1 2)))))
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (tan.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (fma.f64 F F 2) (*.f64 x 2)) -1/2)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 F)))) (*.f64 (/.f64 B (sin.f64 F)) (pow.f64 (+.f64 (+.f64 (*.f64 B B) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (tan.f64 F))) (*.f64 (/.f64 B (sin.f64 F)) (pow.f64 (+.f64 (*.f64 x 2) (fma.f64 B B 2)) -1/2)))
(-.f64 (*.f64 (/.f64 B (sin.f64 F)) (pow.f64 (fma.f64 x 2 (fma.f64 B B 2)) -1/2)) (/.f64 x (tan.f64 F)))
(fma.f64 (/.f64 B (sin.f64 F)) (pow.f64 (fma.f64 x 2 (fma.f64 B B 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 F)))
(fma.f64 B (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 B B 2)) -1/2) (sin.f64 F)) (/.f64 (neg.f64 x) (tan.f64 F)))
(+.f64 (neg.f64 (*.f64 F (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 x (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 x x) 2) (*.f64 2 F)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 (*.f64 F 1) (tan.f64 B))) (*.f64 (/.f64 x (sin.f64 B)) (pow.f64 (+.f64 (fma.f64 x x 2) (*.f64 F 2)) -1/2)))
(fma.f64 (/.f64 x (sin.f64 B)) (pow.f64 (fma.f64 F 2 (fma.f64 x x 2)) -1/2) (/.f64 (neg.f64 F) (tan.f64 B)))
(fma.f64 (/.f64 x (sin.f64 B)) (pow.f64 (fma.f64 x x (fma.f64 F 2 2)) -1/2) (/.f64 (neg.f64 F) (tan.f64 B)))
(fma.f64 x (/.f64 (pow.f64 (fma.f64 x x (fma.f64 F 2 2)) -1/2) (sin.f64 B)) (/.f64 (neg.f64 F) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 B (/.f64 1 (tan.f64 x)))) (*.f64 (/.f64 F (sin.f64 x)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 B)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 B (/.f64 1 (tan.f64 x)))) (*.f64 (/.f64 F (sin.f64 x)) (pow.f64 (+.f64 (fma.f64 F F 2) (*.f64 B 2)) -1/2)))
(fma.f64 (/.f64 F (sin.f64 x)) (pow.f64 (fma.f64 B 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 B) (tan.f64 x)))
(-.f64 (*.f64 (/.f64 F (sin.f64 x)) (pow.f64 (fma.f64 B 2 (fma.f64 F F 2)) -1/2)) (/.f64 B (tan.f64 x)))
Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify25.0ms (0.2%)

Algorithm
egg-herbie
Rules
378×fma-def_binary64
354×distribute-neg-frac_binary64
310×distribute-rgt-neg-in_binary64
302×fma-neg_binary64
283×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02335
14928
210528
321528
449428
5148728
6388428
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (*.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (fma.f64 F F 2) (*.f64 x 2)) -1/2)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 x (tan.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
11.9b
Counts
3 → 2
Alt Table
StatusErrorProgram
12.0b
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
15.4b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
Compiler

Compiled 153 to 109 computations (28.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 x (tan.f64 B))
0.2b
(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))
0.4b
(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))
19.1b
(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series51.0ms (0.5%)

Counts
4 → 104
Calls

30 calls:

TimeVariablePointExpression
5.0ms
x
@0
(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
4.0ms
B
@inf
(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))
3.0ms
x
@0
(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))
3.0ms
B
@-inf
(/.f64 x (tan.f64 B))
3.0ms
x
@0
(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))

rewrite67.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
270×expm1-udef_binary64
270×log1p-udef_binary64
151×add-sqr-sqrt_binary64
147×pow1_binary64
146×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01455
129955
2377155
Stop Event
node limit
Counts
4 → 108
Calls
Call 1
Inputs
(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))
(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))
(/.f64 x (tan.f64 B))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 x 2 (fma.f64 F F 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1) (pow.f64 (sin.f64 B) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1) (pow.f64 (sin.f64 B) 2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (sqrt.f64 (sin.f64 B))) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)) 1) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) 1) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)) (sqrt.f64 (sin.f64 B))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (sqrt.f64 (sin.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1) (pow.f64 (sin.f64 B) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))))

simplify97.0ms (0.9%)

Algorithm
egg-herbie
Rules
773×times-frac_binary64
432×fma-def_binary64
285×*-commutative_binary64
247×associate-*r*_binary64
246×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04284825
114124166
247244056
Stop Event
node limit
Counts
212 → 245
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))
(+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (*.f64 -5/2 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 7))))) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)) (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (*.f64 -1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (*.f64 -1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (*.f64 1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (*.f64 1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (*.f64 1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3))))))
(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (pow.f64 F 2))) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (pow.f64 F 2))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 5))) (pow.f64 F 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (pow.f64 F 2))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 5))) (pow.f64 F 4))) (*.f64 -5/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 7))) (pow.f64 F 6))))))
(/.f64 1 F)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 3))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (pow.f64 F 5))) (/.f64 1 F))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 3))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (pow.f64 F 5))) (/.f64 1 F)))))))
(/.f64 -1 F)
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (*.f64 1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 2))) (pow.f64 F 5)))) (/.f64 1 F))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 3)) (+.f64 (*.f64 -1/6 (pow.f64 (+.f64 2 (*.f64 2 x)) 3)) (*.f64 -1/48 (pow.f64 (+.f64 2 (*.f64 2 x)) 3)))) (pow.f64 F 7))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (*.f64 1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 2))) (pow.f64 F 5))))) (/.f64 1 F))
(*.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
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(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
Outputs
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))
(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))
(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))
(+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(fma.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3)))) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))))
(fma.f64 (neg.f64 x) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(fma.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3)))) (fma.f64 3/2 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 5)))) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))))
(-.f64 (fma.f64 3/2 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5)))) (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
(+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (*.f64 -5/2 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 7))))) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(fma.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3)))) (fma.f64 -5/2 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 7)))) (fma.f64 3/2 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 5)))) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))))))
(-.f64 (fma.f64 -5/2 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 7)))) (fma.f64 3/2 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5)))) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x)))
(*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (*.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 x (+.f64 2 (*.f64 F F))))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) x) (fma.f64 F F 2)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))))
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2)) x) (fma.f64 F F 2)) (*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 2 (*.f64 F F)) 2) 3/32))) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (*.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 x (+.f64 2 (*.f64 F F))))))
(+.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) x) (fma.f64 F F 2)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x)))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) x) (/.f64 (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32) x)))
(+.f64 (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2)) x) (fma.f64 F F 2)) (*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2))) (/.f64 (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32) (*.f64 (/.f64 x (pow.f64 2 -1/2)) (/.f64 x (pow.f64 x -1/2)))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)) (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (*.f64 -1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (*.f64 -1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 2 (*.f64 F F)) 2) 3/32))) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (fma.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 x (+.f64 2 (*.f64 F F)))) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 x 3) (fma.f64 -1/48 (pow.f64 (+.f64 2 (*.f64 F F)) 3) (*.f64 (pow.f64 (+.f64 2 (*.f64 F F)) 3) -7/384))))))
(+.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) x) (fma.f64 F F 2)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x)))) (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) (pow.f64 x 3)) (*.f64 (pow.f64 (fma.f64 F F 2) 3) -5/128)) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) x) (/.f64 (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32) x))))
(+.f64 (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2)) x) (fma.f64 F F 2)) (*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2))) (+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2)) (pow.f64 x 3)) (*.f64 (pow.f64 (fma.f64 F F 2) 3) -5/128)) (/.f64 (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32) (*.f64 (/.f64 x (pow.f64 2 -1/2)) (/.f64 x (pow.f64 x -1/2))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (*.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 x (+.f64 2 (*.f64 F F))))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))) x) (fma.f64 F F 2)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))))
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2)) x) (fma.f64 F F 2)) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (*.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 x (+.f64 2 (*.f64 F F)))))) (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 2 (*.f64 F F)) 2) 3/32))))
(+.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))) x) (fma.f64 F F 2)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32) x) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))) x)))
(+.f64 (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2)) x) (fma.f64 F F 2)) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2))) (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) x) (/.f64 (pow.f64 -2 -1/2) x)) (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (*.f64 1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (*.f64 1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (*.f64 1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 2 (*.f64 F F)) 2) 3/32))) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)))) (fma.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 x (+.f64 2 (*.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 (pow.f64 x 3) (fma.f64 1/48 (pow.f64 (+.f64 2 (*.f64 F F)) 3) (*.f64 (pow.f64 (+.f64 2 (*.f64 F F)) 3) 7/384)))))))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32) x) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))) x)) (-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))) x) (fma.f64 F F 2)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (*.f64 (pow.f64 (fma.f64 F F 2) 3) 5/128))))
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) x) (/.f64 (pow.f64 -2 -1/2) x)) (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32)) (-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2)) x) (fma.f64 F F 2)) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2))) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2)) (pow.f64 x 3)) (*.f64 (pow.f64 (fma.f64 F F 2) 3) 5/128))))
(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))))
(sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (pow.f64 F 2))) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))))
(fma.f64 -1/2 (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(fma.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (*.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (pow.f64 F 2))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 5))) (pow.f64 F 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (*.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5)))) (pow.f64 F 4)))
(fma.f64 -1/2 (*.f64 F (*.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))))) (fma.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (pow.f64 F 4)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (pow.f64 F 2))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 5))) (pow.f64 F 4))) (*.f64 -5/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 7))) (pow.f64 F 6))))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (fma.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (pow.f64 F 4)) (*.f64 -5/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 7))) (pow.f64 F 6)))))
(+.f64 (fma.f64 -5/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 7))) (pow.f64 F 6)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (*.f64 (pow.f64 F 4) 3/8))) (fma.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (*.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))
(/.f64 1 F)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
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(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) (*.f64 (*.f64 1/6 (*.f64 F B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (/.f64 F B) (*.f64 1/6 (*.f64 F B))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) (fma.f64 1/6 (*.f64 F (*.f64 B (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) (*.f64 (pow.f64 B 3) (*.f64 F -7/360))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F B) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (neg.f64 (*.f64 F (*.f64 -7/360 (pow.f64 B 3)))) (*.f64 1/6 (*.f64 F B)))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (+.f64 (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F))) (+.f64 (*.f64 1/720 F) (*.f64 -1/5040 F))) (pow.f64 B 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) (fma.f64 1/6 (*.f64 F (*.f64 B (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))))) (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) (*.f64 (pow.f64 B 5) (fma.f64 1/6 (*.f64 F -7/360) (*.f64 F 1/840)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) (*.f64 (pow.f64 B 3) (*.f64 F -7/360)))))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (*.f64 (pow.f64 B 5) (fma.f64 F 1/840 (*.f64 F -7/2160))) (*.f64 F (*.f64 -7/360 (pow.f64 B 3)))))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (/.f64 F B) (*.f64 1/6 (*.f64 F B)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 x B)))
(fma.f64 -1/3 (*.f64 x B) (/.f64 x B))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(fma.f64 -1 (*.f64 (pow.f64 B 3) (*.f64 x 1/45)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 x B))))
(-.f64 (fma.f64 -1/3 (*.f64 x B) (/.f64 x B)) (*.f64 (*.f64 (pow.f64 B 3) x) 1/45))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(fma.f64 -1 (*.f64 (pow.f64 B 5) (fma.f64 17/315 x (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45))))) (fma.f64 -1 (*.f64 (pow.f64 B 3) (*.f64 x 1/45)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 x B)))))
(-.f64 (-.f64 (fma.f64 -1/3 (*.f64 x B) (/.f64 x B)) (*.f64 (*.f64 (pow.f64 B 3) x) 1/45)) (*.f64 (pow.f64 B 5) (+.f64 (*.f64 x -1/135) (*.f64 x 1/105))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)

prune726.0ms (6.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New23312245
Fresh101
Picked101
Done000
Total23512247
Error
0.0b
Counts
247 → 12
Alt Table
StatusErrorProgram
12.0b
(-.f64 (*.f64 F (*.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) 1) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (sin.f64 B)))) (/.f64 x (tan.f64 B)))
33.0b
(-.f64 (*.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
31.7b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
12.0b
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
15.3b
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B))) (/.f64 x (tan.f64 B)))
12.0b
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
30.4b
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3)))
12.0b
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
12.5b
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B)))))
35.5b
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B))))
32.0b
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
12.0b
(-.f64 (*.f64 F (/.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B))) (/.f64 x (tan.f64 B)))
Compiler

Compiled 10026 to 6527 computations (34.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 x (tan.f64 B))
0.2b
(/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))
0.4b
(/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
19.1b
(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series13.0ms (0.1%)

Counts
2 → 56
Calls

18 calls:

TimeVariablePointExpression
1.0ms
F
@0
(/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
1.0ms
x
@inf
(/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
1.0ms
B
@0
(/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
1.0ms
F
@inf
(/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
1.0ms
x
@0
(/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))

rewrite60.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
623×log-prod_binary64
228×expm1-udef_binary64
228×log1p-udef_binary64
195×log-pow_binary64
131×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01237
125835
2329835
Stop Event
node limit
Counts
2 → 82
Calls
Call 1
Inputs
(/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
(/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 B) 2) (fma.f64 x 2 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 B) 2) (fma.f64 x 2 (fma.f64 F F 2)))) (cbrt.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (*.f64 (cbrt.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (sqrt.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) (sin.f64 B))))) 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simplify62.0ms (0.5%)

Algorithm
egg-herbie
Rules
553×times-frac_binary64
468×distribute-rgt-in_binary64
260×fma-def_binary64
196×*-commutative_binary64
163×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02602692
18962370
228432170
Stop Event
node limit
Counts
138 → 164
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 B 7) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))
(+.f64 (*.f64 (*.f64 (sin.f64 B) x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sin.f64 B) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (*.f64 (*.f64 (sin.f64 B) x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (sin.f64 B) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sin.f64 B) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (*.f64 (*.f64 (sin.f64 B) x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2))))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (*.f64 2 x) 2))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (*.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 (*.f64 2 x) 2)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (*.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 (*.f64 2 x) 2)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (*.f64 2 x) 2))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (/.f64 (*.f64 (sin.f64 B) (pow.f64 F 6)) (+.f64 (*.f64 2 x) 2)))))))
(*.f64 (sin.f64 B) F)
(+.f64 (*.f64 (sin.f64 B) F) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B)) F)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sin.f64 B) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 F 3))) (+.f64 (*.f64 (sin.f64 B) F) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B)) F))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sin.f64 B) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 F 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2))) (pow.f64 F 5))) (+.f64 (*.f64 (sin.f64 B) F) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B)) F)))))
(*.f64 -1 (*.f64 (sin.f64 B) F))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B)) F)) (*.f64 -1 (*.f64 (sin.f64 B) F)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B)) F)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 B) F)) (*.f64 1/8 (/.f64 (*.f64 (sin.f64 B) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 F 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B)) F)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 B) F)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2))) (pow.f64 F 5))) (*.f64 1/8 (/.f64 (*.f64 (sin.f64 B) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 F 3))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B)))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 1 (+.f64 (*.f64 2 x) 2)))) 2)) (pow.f64 F 5)) (sin.f64 B)) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B)))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 F 7) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) 2)) (+.f64 (*.f64 2 x) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (pow.f64 (+.f64 (*.f64 2 x) 2) 2))))) (sin.f64 B)) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 1 (+.f64 (*.f64 2 x) 2)))) 2)) (pow.f64 F 5)) (sin.f64 B)) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))))
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 x) 2) (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 (*.f64 -1/2 (+.f64 2 (*.f64 2 x))) 2))))) (*.f64 (sin.f64 B) (pow.f64 F 6)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B)))))
(/.f64 -1 (sin.f64 B))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 (*.f64 -1/2 (+.f64 2 (*.f64 2 x))) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4))))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)))) (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (*.f64 (sin.f64 B) (pow.f64 F 6)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 (*.f64 -1/2 (+.f64 2 (*.f64 2 x))) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))))) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (+.f64 (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F))) (+.f64 (*.f64 1/720 F) (*.f64 -1/5040 F))) (pow.f64 B 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 -1 (*.f64 (/.f64 (*.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 F (*.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (*.f64 -1 (*.f64 (/.f64 (*.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 F (*.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 F (*.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))) (pow.f64 x 3))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))))
Outputs
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B)
(*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) B)
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) B)
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) B)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))
(fma.f64 -1/6 (*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 3)) (*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 B (*.f64 -1/6 (pow.f64 B 3))))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (+.f64 B (*.f64 -1/6 (pow.f64 B 3))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B)))
(fma.f64 1/120 (*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 5)) (fma.f64 -1/6 (*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 3)) (*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) B)))
(fma.f64 (*.f64 1/120 (pow.f64 B 5)) (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 B (*.f64 -1/6 (pow.f64 B 3)))))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (+.f64 (+.f64 B (*.f64 -1/6 (pow.f64 B 3))) (*.f64 1/120 (pow.f64 B 5))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 B 7) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 5)) (fma.f64 -1/6 (*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 3)) (fma.f64 -1/5040 (*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 7)) (*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) B))))
(+.f64 (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 B (*.f64 -1/5040 (pow.f64 B 7)))) (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 (*.f64 1/120 (pow.f64 B 5)) (*.f64 -1/6 (pow.f64 B 3)))))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (+.f64 (+.f64 (*.f64 -1/5040 (pow.f64 B 7)) B) (+.f64 (*.f64 1/120 (pow.f64 B 5)) (*.f64 -1/6 (pow.f64 B 3)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 2 (*.f64 F F))))
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))
(+.f64 (*.f64 (*.f64 (sin.f64 B) x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2))))
(fma.f64 (*.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (*.f64 (sin.f64 B) (sqrt.f64 (+.f64 2 (*.f64 F F)))))
(*.f64 (sin.f64 B) (+.f64 (sqrt.f64 (fma.f64 F F 2)) (*.f64 x (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))))
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(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 -1 (*.f64 (/.f64 (*.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3))) (/.f64 F (/.f64 (sin.f64 B) x)))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 (*.f64 F x) (sin.f64 B))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 (/.f64 F (sin.f64 B)) (neg.f64 x))))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 F (*.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (*.f64 -1 (*.f64 (/.f64 (*.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 2 (*.f64 F F))) (/.f64 F (/.f64 (sin.f64 B) (*.f64 (*.f64 x x) (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (*.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3)))) 2)))))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3))) (/.f64 F (/.f64 (sin.f64 B) x))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (fma.f64 (/.f64 (*.f64 1/2 F) (/.f64 (sin.f64 B) (*.f64 (*.f64 x x) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2))))) (sqrt.f64 (fma.f64 F F 2)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (neg.f64 (/.f64 (*.f64 F x) (sin.f64 B))))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 (*.f64 x x) F)) (/.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 (/.f64 F (sin.f64 B)) x)))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 F (*.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 F (*.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))) (pow.f64 x 3))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 2 (*.f64 F F))) (/.f64 F (/.f64 (sin.f64 B) (*.f64 (*.f64 x x) (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (*.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3)))) 2)))))) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3))) (/.f64 F (/.f64 (sin.f64 B) x))) (*.f64 (*.f64 -1/2 (/.f64 F (/.f64 (sin.f64 B) (*.f64 (pow.f64 x 3) (+.f64 (/.f64 8 (pow.f64 (+.f64 2 (*.f64 F F)) 4)) (neg.f64 (/.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (*.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3)))) 2)) (+.f64 2 (*.f64 F F))))))))) (sqrt.f64 (+.f64 2 (*.f64 F F)))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (fma.f64 1/2 (*.f64 (sqrt.f64 (fma.f64 F F 2)) (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (*.f64 x x) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2))))) (-.f64 (*.f64 (sqrt.f64 (fma.f64 F F 2)) (/.f64 (*.f64 -1/2 F) (/.f64 (/.f64 (sin.f64 B) (pow.f64 x 3)) (-.f64 (/.f64 8 (pow.f64 (fma.f64 F F 2) 4)) (/.f64 (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2)) (fma.f64 F F 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 (*.f64 F x) (sin.f64 B))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (-.f64 (*.f64 (sqrt.f64 (fma.f64 F F 2)) (+.f64 (*.f64 1/2 (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (*.f64 x x) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))) (/.f64 (*.f64 -1/2 F) (/.f64 (/.f64 (sin.f64 B) (pow.f64 x 3)) (-.f64 (/.f64 8 (pow.f64 (fma.f64 F F 2) 4)) (/.f64 (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (fma.f64 F F 2))))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 (/.f64 F (sin.f64 B)) x))))

prune865.0ms (7.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New2637270
Fresh8311
Picked101
Done000
Total27210282
Error
0.0b
Counts
282 → 10
Alt Table
StatusErrorProgram
30.4b
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3)))
32.0b
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
12.5b
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B)))))
15.3b
(-.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 F (sin.f64 B))) (/.f64 x (tan.f64 B)))
11.9b
(-.f64 (pow.f64 (/.f64 (sin.f64 B) (/.f64 F (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) -1) (/.f64 x (tan.f64 B)))
8.5b
(-.f64 (/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
12.0b
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
35.5b
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B))))
31.7b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
12.0b
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
Compiler

Compiled 9820 to 6142 computations (37.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
0.1b
(/.f64 x (tan.f64 B))
0.2b
(/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))
0.2b
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))

series45.0ms (0.4%)

Counts
3 → 86
Calls

27 calls:

TimeVariablePointExpression
7.0ms
F
@inf
(/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))
6.0ms
F
@0
(/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))
3.0ms
x
@inf
(/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))
3.0ms
x
@inf
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
3.0ms
x
@inf
(-.f64 (/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) (/.f64 x (tan.f64 B)))

rewrite77.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
290×log1p-udef_binary64
164×add-sqr-sqrt_binary64
160×pow1_binary64
159×*-un-lft-identity_binary64
152×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01459
131159
2454859
Stop Event
node limit
Counts
3 → 109
Calls
Call 1
Inputs
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))
(-.f64 (/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 B) 2) (fma.f64 F F (fma.f64 2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))) 2) (cbrt.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 F) 2) (*.f64 (cbrt.f64 F) (/.f64 (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))) (sqrt.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (*.f64 (sqrt.f64 F) (/.f64 (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 F) (/.f64 1 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (neg.f64 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) F)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (/.f64 F 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(sin.f64 B)) (/.f64 x (tan.f64 B)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 F (/.f64 (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))) 2) (cbrt.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))) (sqrt.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))))))))

simplify89.0ms (0.8%)

Algorithm
egg-herbie
Rules
935×times-frac_binary64
464×fma-def_binary64
271×*-commutative_binary64
234×associate-*r*_binary64
198×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03844730
113893953
246273937
Stop Event
node limit
Counts
195 → 230
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 2 (*.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (*.f64 (sin.f64 B) (pow.f64 F 6)) (+.f64 2 (*.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3))))) (+.f64 (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 2 (*.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))))))
(*.f64 (sin.f64 B) F)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2)) F)) (*.f64 (sin.f64 B) F))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2)) F)) (+.f64 (*.f64 (sin.f64 B) F) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2)) F)) (+.f64 (*.f64 (sin.f64 B) F) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (*.f64 1/16 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 (+.f64 (*.f64 2 x) 2) 2))) (pow.f64 F 5))))))
(*.f64 -1 (*.f64 (sin.f64 B) F))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2)) F)) (*.f64 -1 (*.f64 (sin.f64 B) F)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2)) F)) (*.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 (+.f64 (*.f64 2 x) 2) 2))) (pow.f64 F 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2)) F)) (*.f64 -1 (*.f64 (sin.f64 B) F)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (*.f64 (sin.f64 B) x)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (*.f64 (sin.f64 B) x)) (+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 (sin.f64 B) (pow.f64 x 2))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (*.f64 (sin.f64 B) x)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (*.f64 (sin.f64 B) (pow.f64 x 3)))) (+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 (sin.f64 B) (pow.f64 x 2)))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 B 7) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 F 5) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3))))) (*.f64 -1/4 (*.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3)))))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 F 5) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3))))) (*.f64 -1/4 (*.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3)))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 F 7) (+.f64 (*.f64 1/16 (*.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (/.f64 1 (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (/.f64 1 (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2)))))))) (*.f64 1/16 (*.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 5))))))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))))
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (sin.f64 B))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 x) 2) 2) (sin.f64 B)))) (+.f64 (*.f64 2 x) 2))) (*.f64 1/16 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 3) (sin.f64 B))))) (pow.f64 F 6))) (+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4))))))
(/.f64 -1 (sin.f64 B))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (sin.f64 B))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 x) 2) 2) (sin.f64 B)))) (+.f64 (*.f64 2 x) 2))) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 3) (sin.f64 B))))) (pow.f64 F 6))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4))))) (/.f64 1 (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (*.f64 F x) (sin.f64 B)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (*.f64 F x) (sin.f64 B)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (pow.f64 x 2)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (*.f64 F x) (sin.f64 B)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (pow.f64 x 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 7))) (/.f64 F (sin.f64 B)))) (pow.f64 x 3))))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1/36 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))) (pow.f64 B 3))) (+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1/36 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))) (pow.f64 B 3))) (+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/720 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (+.f64 (*.f64 -1/5040 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 1/6 (+.f64 (*.f64 1/120 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1/36 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))) (pow.f64 B 5))) (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (/.f64 1 (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (/.f64 1 (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2)))))) (pow.f64 F 5))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 x) 2) 2) (sin.f64 B)))) (pow.f64 F 4))) (/.f64 1 (sin.f64 B)))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)))) (+.f64 2 (*.f64 2 x)))) (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 2 x) 2) 3) (sin.f64 B))))) (pow.f64 F 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 x) 2) 2) (sin.f64 B)))) (pow.f64 F 4))) (/.f64 1 (sin.f64 B))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (*.f64 -1 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (*.f64 -1 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 (sin.f64 B) (pow.f64 F 6)))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (+.f64 (*.f64 -1 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 3) (*.f64 (sin.f64 B) (pow.f64 F 6)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 x) 2) 2) (sin.f64 B)))) (+.f64 (*.f64 2 x) 2)) (pow.f64 F 6)))))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (pow.f64 x 2)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (pow.f64 x 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 7))) (/.f64 F (sin.f64 B)))) (pow.f64 x 3))))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) x) B)
(-.f64 (+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 (-.f64 (*.f64 1/3 x) (*.f64 -1/6 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))) B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 (-.f64 (*.f64 1/3 x) (*.f64 -1/6 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))) B) (*.f64 (-.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (+.f64 (*.f64 1/120 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1/36 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))) (pow.f64 B 3)))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (+.f64 (*.f64 1/720 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (+.f64 (*.f64 -1/5040 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 1/6 (+.f64 (*.f64 1/120 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1/36 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))))))) (pow.f64 B 5)) (+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 (-.f64 (*.f64 1/3 x) (*.f64 -1/6 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))) B) (*.f64 (-.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (+.f64 (*.f64 1/120 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1/36 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))) (pow.f64 B 3))))) (/.f64 x B))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
Outputs
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))
(fma.f64 1/2 (*.f64 (*.f64 (sin.f64 B) (*.f64 F F)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (*.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B)))
(fma.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (*.f64 (sin.f64 B) (*.f64 (*.f64 F (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) 1/2)))
(fma.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (*.f64 (*.f64 (sin.f64 B) (*.f64 F F)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) 1/2)))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 2 (*.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))))
(fma.f64 1/2 (*.f64 (*.f64 (sin.f64 B) (*.f64 F F)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (fma.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 4)))))))
(fma.f64 1/2 (*.f64 (*.f64 F F) (*.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (fma.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (*.f64 (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 4))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) -1/8))))
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(*.f64 (sin.f64 B) F)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2)) F)) (*.f64 (sin.f64 B) F))
(fma.f64 1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (*.f64 (sin.f64 B) F))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (*.f64 (sin.f64 B) F))
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(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (fma.f64 (sin.f64 B) F (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (sin.f64 B)))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (fma.f64 (sin.f64 B) F (/.f64 (*.f64 (*.f64 -1/8 (sin.f64 B)) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 3))))
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(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (fma.f64 (sin.f64 B) F (fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (sin.f64 B)) (/.f64 (*.f64 1/16 (*.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 3))) (pow.f64 F 5)))))
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(*.f64 -1 (*.f64 (sin.f64 B) F))
(neg.f64 (*.f64 (sin.f64 B) F))
(*.f64 (sin.f64 B) (neg.f64 F))
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(fma.f64 -1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (neg.f64 (*.f64 (sin.f64 B) F)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 2 x 2) -1/2) (sin.f64 B)) F) (*.f64 (sin.f64 B) F))
(-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) -1/2) (*.f64 (sin.f64 B) F))
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(-.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (sin.f64 B)) 1/8 (/.f64 (*.f64 (*.f64 (fma.f64 2 x 2) -1/2) (sin.f64 B)) F)) (*.f64 (sin.f64 B) F))
(fma.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (sin.f64 B)) 1/8 (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) -1/2) (*.f64 (sin.f64 B) F)))
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(fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) (sin.f64 B))) (fma.f64 -1/16 (/.f64 (fma.f64 2 x 2) (/.f64 (pow.f64 F 5) (*.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 2)))) (fma.f64 -1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (neg.f64 (*.f64 (sin.f64 B) F)))))
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(fma.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (sin.f64 B)) 1/8 (-.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 5)) -1/16 (*.f64 (*.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) -1/2)) (*.f64 (sin.f64 B) F)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2))))
(*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))
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(fma.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)) (*.f64 (sin.f64 B) (*.f64 x (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))))
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(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (*.f64 x (sin.f64 B)) (fma.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) (*.f64 x (*.f64 x (sin.f64 B))) (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (*.f64 (sin.f64 B) x)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (*.f64 (sin.f64 B) (pow.f64 x 3)))) (+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 (sin.f64 B) (pow.f64 x 2)))))))
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(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (*.f64 x (sin.f64 B)) (fma.f64 1/2 (*.f64 (sin.f64 B) (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))))) (fma.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) (*.f64 x (*.f64 x (sin.f64 B))) (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B)
(*.f64 B (sqrt.f64 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))
(*.f64 B (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))))
(*.f64 B (hypot.f64 (sqrt.f64 (fma.f64 2 x 2)) F))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))
(fma.f64 -1/6 (*.f64 (sqrt.f64 (+.f64 (fma.f64 2 x 2) (*.f64 F F))) (pow.f64 B 3)) (*.f64 B (sqrt.f64 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 B (*.f64 -1/6 (pow.f64 B 3))))
(*.f64 (hypot.f64 (sqrt.f64 (fma.f64 2 x 2)) F) (+.f64 B (*.f64 -1/6 (pow.f64 B 3))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B)))
(fma.f64 1/120 (*.f64 (sqrt.f64 (+.f64 (fma.f64 2 x 2) (*.f64 F F))) (pow.f64 B 5)) (fma.f64 -1/6 (*.f64 (sqrt.f64 (+.f64 (fma.f64 2 x 2) (*.f64 F F))) (pow.f64 B 3)) (*.f64 B (sqrt.f64 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (pow.f64 B 5)) (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 B (*.f64 -1/6 (pow.f64 B 3)))))
(fma.f64 1/120 (*.f64 (hypot.f64 (sqrt.f64 (fma.f64 2 x 2)) F) (pow.f64 B 5)) (*.f64 (hypot.f64 (sqrt.f64 (fma.f64 2 x 2)) F) (+.f64 B (*.f64 -1/6 (pow.f64 B 3)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 B 7) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (+.f64 (fma.f64 2 x 2) (*.f64 F F))) (pow.f64 B 5)) (fma.f64 -1/6 (*.f64 (sqrt.f64 (+.f64 (fma.f64 2 x 2) (*.f64 F F))) (pow.f64 B 3)) (fma.f64 -1/5040 (*.f64 (sqrt.f64 (+.f64 (fma.f64 2 x 2) (*.f64 F F))) (pow.f64 B 7)) (*.f64 B (sqrt.f64 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))))))
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(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))))
(*.f64 (sin.f64 B) (hypot.f64 (sqrt.f64 (fma.f64 2 x 2)) F))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))))
(*.f64 (sin.f64 B) (hypot.f64 (sqrt.f64 (fma.f64 2 x 2)) F))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))))
(*.f64 (sin.f64 B) (hypot.f64 (sqrt.f64 (fma.f64 2 x 2)) F))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))))
(*.f64 (sin.f64 B) (hypot.f64 (sqrt.f64 (fma.f64 2 x 2)) F))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))))
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(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)) (fma.f64 -1 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 F (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 -1 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))) -3/2)) (*.f64 (pow.f64 x 3) (fma.f64 -1 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))) -3/2) (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 7))))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (-.f64 (neg.f64 (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 F (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) (*.f64 x (*.f64 x (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (*.f64 (/.f64 F (sin.f64 B)) -3/2)))))) (*.f64 (pow.f64 x 3) (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 7))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (neg.f64 (/.f64 F (sin.f64 B)))) -3/2) (fma.f64 F F 2))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (-.f64 (neg.f64 (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 F (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) (*.f64 x (*.f64 x (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (*.f64 (/.f64 F (sin.f64 B)) -3/2)))))) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 7)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (/.f64 F (sin.f64 B))) (/.f64 (fma.f64 F F 2) -3/2))))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) x) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))) x) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(-.f64 (+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 (-.f64 (*.f64 1/3 x) (*.f64 -1/6 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))) B)) (/.f64 x B))
(-.f64 (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (*.f64 B (+.f64 (*.f64 x 1/3) (*.f64 1/6 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))))))) (/.f64 x B))
(+.f64 (*.f64 B (fma.f64 x 1/3 (*.f64 1/6 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))))) (/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B))
(+.f64 (*.f64 B (fma.f64 x 1/3 (*.f64 (*.f64 1/6 F) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B))
(-.f64 (+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 (-.f64 (*.f64 1/3 x) (*.f64 -1/6 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))) B) (*.f64 (-.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (+.f64 (*.f64 1/120 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1/36 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))) (pow.f64 B 3)))) (/.f64 x B))
(-.f64 (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (fma.f64 (+.f64 (*.f64 x 1/3) (*.f64 1/6 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))))) B (*.f64 (pow.f64 B 3) (-.f64 (*.f64 x 1/45) (*.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))) -7/360))))) (/.f64 x B))
(+.f64 (fma.f64 B (fma.f64 x 1/3 (*.f64 1/6 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))))) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 (*.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) 7/360)))) (/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B))
(+.f64 (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 (*.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) 7/360)) (*.f64 B (fma.f64 x 1/3 (*.f64 (*.f64 1/6 F) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (+.f64 (*.f64 1/720 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (+.f64 (*.f64 -1/5040 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 1/6 (+.f64 (*.f64 1/120 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1/36 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))))))) (pow.f64 B 5)) (+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 (-.f64 (*.f64 1/3 x) (*.f64 -1/6 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))) B) (*.f64 (-.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (+.f64 (*.f64 1/120 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1/36 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))) (pow.f64 B 3))))) (/.f64 x B))
(-.f64 (fma.f64 (-.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (*.f64 (*.f64 x 1/45) -1/3))) (fma.f64 1/720 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))) (fma.f64 -1/5040 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))) (*.f64 1/6 (*.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))) -7/360))))) (pow.f64 B 5) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (fma.f64 (+.f64 (*.f64 x 1/3) (*.f64 1/6 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))))) B (*.f64 (pow.f64 B 3) (-.f64 (*.f64 x 1/45) (*.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))) -7/360)))))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (*.f64 x 1/105) (-.f64 (*.f64 x -1/135) (+.f64 (*.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) -7/2160) (*.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) 1/840)))) (+.f64 (fma.f64 B (fma.f64 x 1/3 (*.f64 1/6 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))))) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 (*.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) 7/360)))) (/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)))
(fma.f64 (pow.f64 B 5) (+.f64 (*.f64 x 1/105) (-.f64 (*.f64 x -1/135) (+.f64 (*.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) -7/2160) (*.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) 1/840)))) (+.f64 (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 (*.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) 7/360)) (*.f64 B (fma.f64 x 1/3 (*.f64 (*.f64 1/6 F) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))

prune777.0ms (6.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2685273
Fresh549
Picked101
Done000
Total2749283
Error
0b
Counts
283 → 9
Alt Table
StatusErrorProgram
31.7b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
8.5b
(+.f64 (-.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))
12.5b
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B)))))
15.3b
(-.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 F (sin.f64 B))) (/.f64 x (tan.f64 B)))
11.3b
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (/.f64 (cbrt.f64 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
11.9b
(-.f64 (pow.f64 (/.f64 (sin.f64 B) (/.f64 F (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) -1) (/.f64 x (tan.f64 B)))
20.7b
(/.f64 (-.f64 (*.f64 F (/.f64 (tan.f64 B) x)) (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) (*.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)) (/.f64 (tan.f64 B) x)))
12.0b
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
15.1b
(/.f64 (-.f64 (*.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (/.f64 (tan.f64 B) x)) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
Compiler

Compiled 10645 to 6435 computations (39.5% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
0.2b
(/.f64 1 (tan.f64 B))
0.6b
(/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))
60.3b
(fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B)))

series24.0ms (0.2%)

Counts
4 → 80
Calls

24 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
2.0ms
B
@inf
(/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))
2.0ms
F
@0
(/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
1.0ms
x
@-inf
(/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
1.0ms
B
@0
(fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B)))

rewrite73.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
932×prod-diff_binary64
180×add-sqr-sqrt_binary64
175×pow1_binary64
174×*-un-lft-identity_binary64
165×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01752
136051
2474051
Stop Event
node limit
Counts
4 → 129
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B)))
(/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))
(/.f64 1 (tan.f64 B))
(/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) (cbrt.f64 (/.f64 (*.f64 F F) (fma.f64 F F (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 F F) (fma.f64 F F (fma.f64 2 x 2)))) (cbrt.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 F) 2) (*.f64 (cbrt.f64 F) (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) (sqrt.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (*.f64 (sqrt.f64 F) (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 F) (/.f64 1 (neg.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) F)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) 1) (/.f64 (cbrt.f64 F) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 F) 1) (/.f64 (sqrt.f64 F) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (cbrt.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2)))) (cbrt.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 F) (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 (sqrt.f64 F) (cbrt.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) (/.f64 F (sqrt.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (sqrt.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) (/.f64 (cbrt.f64 F) (sqrt.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 F (neg.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 F F) (fma.f64 F F (fma.f64 2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 F 3) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))))

simplify71.0ms (0.6%)

Algorithm
egg-herbie
Rules
441×fma-def_binary64
383×times-frac_binary64
280×*-commutative_binary64
235×associate-*r*_binary64
214×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03773117
113202376
245872371
Stop Event
node limit
Counts
209 → 218
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 -1 x) x) B)
(+.f64 (*.f64 (-.f64 (*.f64 1/45 x) (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 x B)))
(+.f64 (*.f64 (pow.f64 B 5) (-.f64 (*.f64 2/945 x) (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (*.f64 -2/45 x))))) (+.f64 (*.f64 (-.f64 (*.f64 1/45 x) (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 x B))))
(+.f64 (*.f64 (-.f64 (*.f64 1/4725 x) (+.f64 (*.f64 62/2835 x) (+.f64 (*.f64 -2/15 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (+.f64 (*.f64 -17/945 x) (*.f64 -1/3 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (*.f64 -2/45 x)))))))) (pow.f64 B 7)) (+.f64 (*.f64 (pow.f64 B 5) (-.f64 (*.f64 2/945 x) (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (*.f64 -2/45 x))))) (+.f64 (*.f64 (-.f64 (*.f64 1/45 x) (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 x B)))))
(+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 F 5) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3))))) (*.f64 -1/4 (*.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3)))))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 F 5) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3))))) (*.f64 -1/4 (*.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3)))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 F 7) (+.f64 (*.f64 1/16 (*.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (/.f64 1 (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (/.f64 1 (*.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2)))))))) (*.f64 1/16 (*.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 5))))))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))))
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (sin.f64 B))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 x) 2) 2) (sin.f64 B)))) (+.f64 (*.f64 2 x) 2))) (*.f64 1/16 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 3) (sin.f64 B))))) (pow.f64 F 6))) (+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4))))))
(/.f64 -1 (sin.f64 B))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (sin.f64 B))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 x) 2) 2) (sin.f64 B)))) (+.f64 (*.f64 2 x) 2))) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 3) (sin.f64 B))))) (pow.f64 F 6))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)) (sin.f64 B))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4))))) (/.f64 1 (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (*.f64 F x) (sin.f64 B)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (*.f64 F x) (sin.f64 B)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (pow.f64 x 2)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (*.f64 F x) (sin.f64 B)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (pow.f64 x 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 7))) (/.f64 F (sin.f64 B)))) (pow.f64 x 3))))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1/36 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))) (pow.f64 B 3))) (+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1/36 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))) (pow.f64 B 3))) (+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/720 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (+.f64 (*.f64 -1/5040 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 1/6 (+.f64 (*.f64 1/120 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1/36 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))) (pow.f64 B 5))) (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (pow.f64 F 3) (+.f64 (*.f64 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (pow.f64 F 3) (+.f64 (*.f64 2 x) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (/.f64 1 (+.f64 (*.f64 2 x) 2)))) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (pow.f64 F 5))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (pow.f64 F 3) (+.f64 (*.f64 2 x) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 5))) (/.f64 1 (+.f64 (*.f64 2 x) 2)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (+.f64 (*.f64 -1/4 (*.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3))))) (*.f64 -1/8 (*.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3)))))))))) (pow.f64 F 7))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (/.f64 1 (+.f64 (*.f64 2 x) 2)))) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 3))) (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (pow.f64 F 5))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 -1/4 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (pow.f64 F 4)))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 -1/4 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (pow.f64 F 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (*.f64 2 x) 2) 3)) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (*.f64 -1/2 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2))) (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 2))))))) (pow.f64 F 6))))))
-1
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 1/4 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (pow.f64 F 4)))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (*.f64 1/4 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)))))) (+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (*.f64 -1/16 (pow.f64 (+.f64 (*.f64 2 x) 2) 3)))) (pow.f64 F 6))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 1/4 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (pow.f64 F 4))))) 1)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 F x))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 F x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F))) (pow.f64 x 2)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 F x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F))) (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 7))) F)) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F))) (pow.f64 x 2))))))
Outputs
(/.f64 (+.f64 (*.f64 -1 x) x) B)
(/.f64 (*.f64 0 x) B)
0
(+.f64 (*.f64 (-.f64 (*.f64 1/45 x) (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 x B)))
(fma.f64 (-.f64 (*.f64 x 1/45) (*.f64 x 1/45)) (pow.f64 B 3) (*.f64 0 (/.f64 x B)))
(fma.f64 (pow.f64 B 3) 0 0)
(+.f64 (*.f64 (pow.f64 B 5) (-.f64 (*.f64 2/945 x) (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (*.f64 -2/45 x))))) (+.f64 (*.f64 (-.f64 (*.f64 1/45 x) (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 x B))))
(fma.f64 (pow.f64 B 5) (-.f64 (*.f64 x 2/945) (fma.f64 17/315 x (fma.f64 -1/3 (*.f64 x 1/45) (*.f64 x -2/45)))) (fma.f64 (-.f64 (*.f64 x 1/45) (*.f64 x 1/45)) (pow.f64 B 3) (*.f64 0 (/.f64 x B))))
(fma.f64 (pow.f64 B 5) (-.f64 (*.f64 x -7/135) (fma.f64 x -2/45 (*.f64 x -1/135))) (fma.f64 (pow.f64 B 3) 0 0))
(+.f64 (*.f64 (-.f64 (*.f64 1/4725 x) (+.f64 (*.f64 62/2835 x) (+.f64 (*.f64 -2/15 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (+.f64 (*.f64 -17/945 x) (*.f64 -1/3 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (*.f64 -2/45 x)))))))) (pow.f64 B 7)) (+.f64 (*.f64 (pow.f64 B 5) (-.f64 (*.f64 2/945 x) (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (*.f64 -2/45 x))))) (+.f64 (*.f64 (-.f64 (*.f64 1/45 x) (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 x B)))))
(fma.f64 (-.f64 (*.f64 x 1/4725) (fma.f64 62/2835 x (fma.f64 -2/15 (*.f64 x 1/45) (fma.f64 -17/945 x (*.f64 -1/3 (fma.f64 17/315 x (fma.f64 -1/3 (*.f64 x 1/45) (*.f64 x -2/45)))))))) (pow.f64 B 7) (fma.f64 (pow.f64 B 5) (-.f64 (*.f64 x 2/945) (fma.f64 17/315 x (fma.f64 -1/3 (*.f64 x 1/45) (*.f64 x -2/45)))) (fma.f64 (-.f64 (*.f64 x 1/45) (*.f64 x 1/45)) (pow.f64 B 3) (*.f64 0 (/.f64 x B)))))
(fma.f64 (-.f64 (*.f64 x -307/14175) (+.f64 (*.f64 x -2/675) (fma.f64 -1/3 (fma.f64 x 17/315 (fma.f64 x -2/45 (*.f64 x -1/135))) (*.f64 x -17/945)))) (pow.f64 B 7) (fma.f64 (pow.f64 B 5) (-.f64 (*.f64 x -7/135) (fma.f64 x -2/45 (*.f64 x -1/135))) (fma.f64 (pow.f64 B 3) 0 0)))
(+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (*.f64 0 x) B)
0
(+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (*.f64 0 x) B)
0
(+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (*.f64 0 x) B)
0
(+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (*.f64 0 x) B)
0
(+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (*.f64 0 x) B)
0
(+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (*.f64 0 x) B)
0
(+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (*.f64 0 x) B)
0
(+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (*.f64 0 x) B)
0
(*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(/.f64 (*.f64 0 x) B)
0
(*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(/.f64 (*.f64 0 x) B)
0
(*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(/.f64 (*.f64 0 x) B)
0
(*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x)
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1
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(+.f64 1 (/.f64 (*.f64 -1/2 (fma.f64 2 x 2)) (*.f64 F F)))
(fma.f64 -1/2 (/.f64 (fma.f64 x 2 2) (*.f64 F F)) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 -1/4 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (pow.f64 F 4)))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (neg.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 2) (*.f64 -1/4 (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 F 4)))))
(-.f64 (fma.f64 -1/2 (/.f64 (fma.f64 x 2 2) (*.f64 F F)) 1) (/.f64 (*.f64 (pow.f64 (fma.f64 x 2 2) 2) -3/8) (pow.f64 F 4)))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 -1/4 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (pow.f64 F 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (*.f64 2 x) 2) 3)) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (*.f64 -1/2 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2))) (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 2))))))) (pow.f64 F 6))))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (*.f64 -1 (+.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 2) (*.f64 -1/4 (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 F 4)) (/.f64 (fma.f64 1/16 (pow.f64 (fma.f64 2 x 2) 3) (fma.f64 1/16 (pow.f64 (fma.f64 2 x 2) 3) (*.f64 (*.f64 -1/2 (fma.f64 2 x 2)) (fma.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 2) (*.f64 -1/4 (pow.f64 (fma.f64 2 x 2) 2)))))) (pow.f64 F 6))))))
(+.f64 1 (-.f64 (-.f64 (*.f64 -1/2 (/.f64 (fma.f64 x 2 2) (*.f64 F F))) (/.f64 (*.f64 (pow.f64 (fma.f64 x 2 2) 2) -3/8) (pow.f64 F 4))) (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (fma.f64 x 2 2) (*.f64 (pow.f64 (fma.f64 x 2 2) 2) -3/8))) (*.f64 1/8 (pow.f64 (fma.f64 x 2 2) 3))) (pow.f64 F 6))))
-1
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) 1)
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) -1)
(fma.f64 1/2 (/.f64 (fma.f64 x 2 2) (*.f64 F F)) -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 1/4 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (pow.f64 F 4)))) 1)
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (neg.f64 (/.f64 (fma.f64 1/8 (pow.f64 (fma.f64 2 x 2) 2) (*.f64 (pow.f64 (fma.f64 2 x 2) 2) 1/4)) (pow.f64 F 4)))) -1)
(fma.f64 1/2 (/.f64 (fma.f64 x 2 2) (*.f64 F F)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (fma.f64 x 2 2) 2) 3/8) (pow.f64 F 4)) -1))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (*.f64 1/4 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)))))) (+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (*.f64 -1/16 (pow.f64 (+.f64 (*.f64 2 x) 2) 3)))) (pow.f64 F 6))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 1/4 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (pow.f64 F 4))))) 1)
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (*.f64 (fma.f64 2 x 2) (fma.f64 1/8 (pow.f64 (fma.f64 2 x 2) 2) (*.f64 (pow.f64 (fma.f64 2 x 2) 2) 1/4))) (*.f64 -1/16 (+.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 (fma.f64 2 x 2) 3)))) (pow.f64 F 6)) (neg.f64 (/.f64 (fma.f64 1/8 (pow.f64 (fma.f64 2 x 2) 2) (*.f64 (pow.f64 (fma.f64 2 x 2) 2) 1/4)) (pow.f64 F 4))))) -1)
(fma.f64 1/2 (/.f64 (fma.f64 x 2 2) (*.f64 F F)) (fma.f64 -1 (+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x 2 2) 2) 3/8) (pow.f64 F 4)) (/.f64 (fma.f64 -1/2 (*.f64 (fma.f64 x 2 2) (*.f64 (pow.f64 (fma.f64 x 2 2) 2) 3/8)) (*.f64 -1/8 (pow.f64 (fma.f64 x 2 2) 3))) (pow.f64 F 6))) -1))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)
(*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)))))
(*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 F x))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) F (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 x F))))
(-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (*.f64 F (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 F x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F))) (pow.f64 x 2)))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) F (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 x F)) (*.f64 (*.f64 x x) (*.f64 (*.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5)))) -3/2)))))
(fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 x F) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (*.f64 F -3/2))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 F x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F))) (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 7))) F)) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F))) (pow.f64 x 2))))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) F (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 x F)) (fma.f64 -1 (*.f64 (pow.f64 x 3) (fma.f64 -1 (/.f64 (*.f64 (*.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5)))) -3/2) (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (*.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 7)))))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5)))) -3/2))))))
(fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (-.f64 (neg.f64 (fma.f64 (pow.f64 x 3) (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 7)))) (/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5)))) (/.f64 (fma.f64 F F 2) -3/2))) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (*.f64 F -3/2))))) (*.f64 F (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))))

prune588.0ms (5.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2171218
Fresh178
Picked101
Done000
Total2198227
Error
0b
Counts
227 → 8
Alt Table
StatusErrorProgram
8.5b
(+.f64 (-.f64 (/.f64 (expm1.f64 (log1p.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))
12.0b
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
12.5b
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B)))))
11.3b
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (/.f64 (cbrt.f64 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
11.9b
(-.f64 (pow.f64 (/.f64 (sin.f64 B) (/.f64 F (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) -1) (/.f64 x (tan.f64 B)))
20.7b
(/.f64 (-.f64 (*.f64 F (/.f64 (tan.f64 B) x)) (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) (*.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)) (/.f64 (tan.f64 B) x)))
31.7b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
15.1b
(/.f64 (-.f64 (*.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (/.f64 (tan.f64 B) x)) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
Compiler

Compiled 10317 to 5912 computations (42.7% saved)

regimes155.0ms (1.4%)

Accuracy

Total -59.9b remaining (-29473.9%)

Threshold costs -59.9b (-29473.9%)

Counts
27 → 3
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 (expm1.f64 (log1p.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(+.f64 (-.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (/.f64 (cbrt.f64 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 (*.f64 F (/.f64 (tan.f64 B) x)) (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) (*.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)) (/.f64 (tan.f64 B) x)))
(/.f64 (-.f64 (*.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (/.f64 (tan.f64 B) x)) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3)))
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B)))))
(-.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 F (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (pow.f64 (/.f64 (sin.f64 B) (/.f64 F (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) -1) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (*.f64 F (*.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) 1) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3)))
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B)))))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
Outputs
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
Results
35.0ms0.2bF
35.0ms6.7bB
25.0ms0.3bx
46.0ms2.3b(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
Compiler

Compiled 643 to 333 computations (48.2% saved)

bsearch513.0ms (4.5%)

Algorithm
binary-search
Calls

2 calls:

386.0ms
F
126.0ms
F
Steps
ItersPointRange
6400000.0
∈ [
6219958.945563922
,
1.0277877323081234e+24
]
-6.331031934626976e+77
∈ [
-6.331031934626976e+77
,
-2.1121539640592003e+72
]
Compiler

Compiled 396 to 288 computations (27.3% saved)

simplify4.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02868
13468
24168
34568
44868
54968
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 F -633103193462697577623699276460732387183698909301449992933898355808527305408512) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 6400000) (-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
Outputs
(if (<=.f64 F -633103193462697577623699276460732387183698909301449992933898355808527305408512) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 6400000) (-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))

end29.0ms (0.3%)

Stop Event
fuel
Compiler

Compiled 96 to 54 computations (43.8% saved)

Profiling

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