Law of Cosines

Time bar (total: 2.9s)

start0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze198.0ms (6.9%)

Memory
9.3MiB live, 308.2MiB allocated; 73ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%3.3%96.7%0.0%0.0%0.0%0
0.0%0.0%3.3%96.7%0.0%0.0%0.0%1
0.0%0.0%3.3%96.7%0.0%0.0%0.0%2
0.0%0.0%3.3%96.7%0.0%0.0%0.0%3
0.0%0.0%3.3%96.7%0.0%0.0%0.0%4
0.0%0.0%3.3%96.7%0.0%0.0%0.0%5
6.3%0.2%3.1%96.7%0.0%0.0%0.0%6
8.3%0.2%2.3%96.7%0.0%0.8%0.0%7
20.8%0.5%2.0%96.7%0.0%0.8%0.0%8
31.3%0.8%1.7%96.7%0.0%0.8%0.0%9
37.5%0.8%1.3%96.7%0.0%1.2%0.0%10
48.8%1.0%1.1%96.7%0.0%1.2%0.0%11
56.9%1.2%0.9%96.7%0.0%1.2%0.0%12
Compiler

Compiled 41 to 28 computations (31.7% saved)

sample1.4s (48.3%)

Memory
53.3MiB live, 2 439.0MiB allocated; 389ms collecting garbage
Samples
715.0ms8 250×0valid
278.0ms2 064×0invalid
1.0ms3valid
1.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 680.0ms
ival-pow2: 275.0ms (40.4% of total)
ival-cos: 136.0ms (20.0% of total)
ival-mult!: 132.0ms (19.4% of total)
ival-sqrt: 70.0ms (10.3% of total)
ival-sub!: 28.0ms (4.1% of total)
ival-add!: 25.0ms (3.7% of total)
ival-<=: 7.0ms (1.0% of total)
ival-and: 5.0ms (0.7% of total)
adjust: 2.0ms (0.3% of total)
ival-assert: 1.0ms (0.1% of total)
Bogosity

preprocess51.0ms (1.8%)

Memory
-10.9MiB live, 80.0MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056181
1223173
2829153
33347153
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.5%
(sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (cos.f64 C))))
Symmetry

(abs C)

(sort a b)

Compiler

Compiled 34 to 26 computations (23.5% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
Outputs
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series64.0ms (2.2%)

Memory
19.5MiB live, 116.0MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03572350
Stop Event
iter-limit
Counts
13 → 61
Calls
Call 1
Inputs
a
#s(literal 2 binary64)
(pow.f64 a #s(literal 2 binary64))
b
(pow.f64 b #s(literal 2 binary64))
(+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) a)
(*.f64 (*.f64 #s(literal 2 binary64) a) b)
C
(cos.f64 C)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (cos.f64 C))
(-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (cos.f64 C)))
(sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (cos.f64 C))))
Outputs
#s(approx a a)
#s(approx (pow a 2) (pow.f64 a #s(literal 2 binary64)))
#s(approx (+ (pow a 2) (pow b 2)) (pow.f64 b #s(literal 2 binary64)))
#s(approx (+ (pow a 2) (pow b 2)) (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
#s(approx (* 2 a) (*.f64 #s(literal 2 binary64) a))
#s(approx (* (* 2 a) b) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
#s(approx (* (* (* 2 a) b) (cos C)) (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b (cos.f64 C)))))
#s(approx (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 b (cos.f64 C)))) (pow.f64 b #s(literal 2 binary64))))
#s(approx (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C))) (+.f64 (*.f64 a (-.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (cos.f64 C))))) (pow.f64 b #s(literal 2 binary64))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 b (cos.f64 C))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b (*.f64 (cos.f64 C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))))))
#s(approx (+ (pow a 2) (pow b 2)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)))))
#s(approx (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 (cos.f64 C) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) (*.f64 #s(literal -2 binary64) (*.f64 b (cos.f64 C)))) a)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) a))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) a)) (*.f64 b (cos.f64 C))) a))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 (cos.f64 C) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))))) a))) a)) (*.f64 b (cos.f64 C))) a))))))
#s(approx b b)
#s(approx (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 b (cos.f64 C)))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C))) (+.f64 (*.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a (cos.f64 C))))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 b (cos.f64 C))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b (*.f64 (cos.f64 C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))))))
#s(approx (+ (pow a 2) (pow b 2)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)))))
#s(approx (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 (cos.f64 C) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) (pow.f64 b #s(literal 2 binary64)))))))))
#s(approx (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b)) (*.f64 #s(literal -2 binary64) (*.f64 a (cos.f64 C)))) b)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) b))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) b)) (*.f64 a (cos.f64 C))) b))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 (cos.f64 C) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))))) b))) b)) (*.f64 a (cos.f64 C))) b))))))
#s(approx C C)
#s(approx (cos C) #s(literal 1 binary64))
#s(approx (cos C) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 C #s(literal 2 binary64)))))
#s(approx (cos C) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 C #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos C) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 C #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 a) b) (cos C)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) (*.f64 a b))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
#s(approx (* (* (* 2 a) b) (cos C)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a b)) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) (*.f64 a b)))))))
#s(approx (* (* (* 2 a) b) (cos C)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/360 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) (*.f64 a b))) (*.f64 #s(literal 1/12 binary64) (*.f64 a b))))))))
#s(approx (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C))) (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
#s(approx (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C))) (-.f64 (+.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (*.f64 a b)) (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
#s(approx (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C))) (-.f64 (+.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) (*.f64 a b))) (*.f64 #s(literal -1 binary64) (*.f64 a b)))) (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
#s(approx (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C))) (-.f64 (+.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) (*.f64 a b))) (*.f64 #s(literal 1/12 binary64) (*.f64 a b)))) (*.f64 #s(literal -1 binary64) (*.f64 a b)))) (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (*.f64 a b)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 a b)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 b (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 a b)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/360 binary64) (*.f64 a b)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 a b)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))))))))))
#s(approx (cos C) (cos.f64 C))
#s(approx (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C))) (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b (cos.f64 C))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b (cos.f64 C)))))))
Calls

9 calls:

TimeVariablePoint
8.0ms
b
-inf
4.0ms
b
0
3.0ms
a
0
3.0ms
a
inf
3.0ms
b
inf

rewrite171.0ms (5.9%)

Memory
21.3MiB live, 260.8MiB allocated; 95ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01368
02268
19968
239164
3161064
0412164
Stop Event
iter-limit
node-limit
iter-limit
Counts
13 → 303
Calls
Call 1
Inputs
a
#s(literal 2 binary64)
(pow.f64 a #s(literal 2 binary64))
b
(pow.f64 b #s(literal 2 binary64))
(+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) a)
(*.f64 (*.f64 #s(literal 2 binary64) a) b)
C
(cos.f64 C)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (cos.f64 C))
(-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (cos.f64 C)))
(sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (cos.f64 C))))
Outputs
a
#s(literal 2 binary64)
(*.f64 (neg.f64 (neg.f64 (fabs.f64 a))) (neg.f64 (neg.f64 (fabs.f64 a))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 a))))
(*.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (pow.f64 (fabs.f64 a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (fabs.f64 a))
(*.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (pow.f64 (neg.f64 a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (neg.f64 a))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 a a))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) a)
(*.f64 (pow.f64 a (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 a (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 a a) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 a a)
(pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (pow.f64 (fabs.f64 a) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(/.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 a) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 a) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 a) a))
(sqrt.f64 (*.f64 (*.f64 a a) (*.f64 a a)))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 (fabs.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
b
(*.f64 (neg.f64 (neg.f64 (fabs.f64 b))) (neg.f64 (neg.f64 (fabs.f64 b))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))))
(*.f64 (pow.f64 (fabs.f64 b) #s(literal 1 binary64)) (pow.f64 (fabs.f64 b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 b) #s(literal 1 binary64)) (fabs.f64 b))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 1 binary64)) (pow.f64 (neg.f64 b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 1 binary64)) (neg.f64 b))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) b)
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 1 binary64)) b)
(*.f64 (pow.f64 b (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 b (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 b (neg.f64 (neg.f64 b)))
(*.f64 b b)
(pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 b) #s(literal 1 binary64)) (pow.f64 (fabs.f64 b) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 b) #s(literal 1 binary64)) (pow.f64 (neg.f64 b) #s(literal -1 binary64)))
(/.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 b) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 b) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 b) b))
(sqrt.f64 (*.f64 (*.f64 b b) (*.f64 b b)))
(fabs.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (fabs.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b))) (*.f64 b b))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))) (*.f64 a a))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a))
(/.f64 (+.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 a)) a) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 a)) a) (*.f64 (neg.f64 (neg.f64 a)) a)) (*.f64 (*.f64 b b) (*.f64 (neg.f64 (neg.f64 a)) a)))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) a))) (+.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 a) a) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (*.f64 (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) a)) (*.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) b))) (+.f64 (*.f64 a a) (*.f64 (neg.f64 b) b)))
(/.f64 (+.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) (pow.f64 (*.f64 a a) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (-.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 b) b) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (*.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) b)) (*.f64 (*.f64 a a) (*.f64 (neg.f64 b) b)))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 a a) (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 b b)))))
(neg.f64 (-.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))
(-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (neg.f64 a)) a))
(+.f64 (*.f64 b b) (*.f64 a a))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) a)) a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a a)) a)
(*.f64 #s(literal 1 binary64) (+.f64 a a))
(*.f64 (+.f64 a a) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 a (neg.f64 (neg.f64 a))))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 a (*.f64 (neg.f64 a) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) a) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) a)) (*.f64 a (*.f64 #s(literal -1 binary64) a)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (+.f64 (*.f64 a a) (*.f64 (neg.f64 a) a))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 a a)) (+.f64 a (neg.f64 a)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 a a)) (-.f64 a a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 a a))))
(neg.f64 (*.f64 #s(literal -2 binary64) a))
(-.f64 a (*.f64 (neg.f64 a) #s(literal 1 binary64)))
(-.f64 a (*.f64 #s(literal -1 binary64) a))
(-.f64 a (neg.f64 a))
(+.f64 a (neg.f64 (neg.f64 a)))
(+.f64 a a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 b a))) (*.f64 b a))
(*.f64 (neg.f64 (neg.f64 b)) (+.f64 a a))
(*.f64 (+.f64 b b) a)
(*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))
(*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 a) b))
(*.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(*.f64 (*.f64 (+.f64 a a) b) #s(literal 1 binary64))
(*.f64 (+.f64 a a) (neg.f64 (neg.f64 b)))
(*.f64 (+.f64 a a) b)
(*.f64 b (+.f64 a a))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 a) b)))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(*.f64 a (+.f64 b b))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b a) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 b a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 b a)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 #s(literal 1 binary64) (*.f64 b a))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 #s(literal 1 binary64) (*.f64 b a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 b a) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 a) b) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 b a) (*.f64 b a)) (+.f64 (*.f64 (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) b)) (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) b)))))
(/.f64 (-.f64 (*.f64 (*.f64 b a) (*.f64 b a)) (*.f64 (*.f64 b a) (*.f64 b a))) (-.f64 (*.f64 b a) (*.f64 b a)))
(/.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 3 binary64)) (pow.f64 (*.f64 b a) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 b a) (*.f64 b a)) (-.f64 (*.f64 (*.f64 b a) (*.f64 b a)) (*.f64 (*.f64 b a) (*.f64 b a)))))
(neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) b) a))
(-.f64 (*.f64 b a) (*.f64 (neg.f64 a) b))
(+.f64 (*.f64 (*.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 #s(literal 1 binary64) (*.f64 b a)))
(+.f64 (*.f64 b a) (*.f64 b a))
C
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eval59.0ms (2.0%)

Memory
-22.8MiB live, 66.9MiB allocated; 24ms collecting garbage
Compiler

Compiled 10 901 to 1 853 computations (83.0% saved)

prune10.0ms (0.3%)

Memory
18.0MiB live, 18.0MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3459354
Fresh000
Picked101
Done000
Total3469355
Accuracy
100.0%
Counts
355 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.6%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 b (cos.f64 C))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))
100.0%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)))))
2.5%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)))))
2.5%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b))))))
97.9%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a))))))
2.5%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) b))
3.2%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) a))
81.8%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))
5.3%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))
Compiler

Compiled 492 to 360 computations (26.8% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1
2
Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series76.0ms (2.6%)

Memory
-4.2MiB live, 96.1MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05043421
Stop Event
iter-limit
Counts
26 → 106
Calls
Call 1
Inputs
a
b
C
#s(literal 1 binary64)
#s(literal -1 binary64)
(cos.f64 C)
(*.f64 a (cos.f64 C))
(/.f64 (*.f64 a (cos.f64 C)) b)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)))))
(*.f64 #s(literal -1 binary64) a)
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) a))
#s(literal 2 binary64)
(pow.f64 a #s(literal 2 binary64))
(sqrt.f64 (pow.f64 a #s(literal 2 binary64)))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))
(*.f64 b (cos.f64 C))
(/.f64 (*.f64 b (cos.f64 C)) a)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b))))))
Outputs
#s(approx a a)
#s(approx (* a (cos C)) (*.f64 a (cos.f64 C)))
#s(approx (/ (* a (cos C)) b) (/.f64 (*.f64 a (cos.f64 C)) b))
#s(approx (* -1 (/ (* a (cos C)) b)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) #s(literal 1 binary64))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b))))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) b)
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) (+.f64 b (*.f64 #s(literal -1 binary64) (*.f64 a (cos.f64 C)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 b (cos.f64 C))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b (*.f64 (cos.f64 C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))))))
#s(approx (* -1 a) (*.f64 #s(literal -1 binary64) a))
#s(approx (pow a 2) (pow.f64 a #s(literal 2 binary64)))
#s(approx (/ (* b (cos C)) a) (/.f64 (*.f64 b (cos.f64 C)) a))
#s(approx (* -1 (/ (* b (cos C)) a)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)))
#s(approx (+ 1 (* -1 (/ (* b (cos C)) a))) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) (*.f64 b (cos.f64 C)))) a))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (*.f64 #s(literal -1 binary64) (*.f64 b (cos.f64 C))))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (+.f64 a (*.f64 #s(literal -1 binary64) (*.f64 b (cos.f64 C)))))
#s(approx (* -1 (* b (+ 1 (* -1 (/ (* a (cos C)) b))))) (*.f64 #s(literal -1 binary64) b))
#s(approx (* -1 (* b (+ 1 (* -1 (/ (* a (cos C)) b))))) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 a (cos.f64 C))))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 C) b)) (/.f64 #s(literal 1 binary64) a))))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) (*.f64 #s(literal -1 binary64) (*.f64 a (cos.f64 C))))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 C)) (/.f64 b a))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 (cos.f64 C) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (+ 1 (* -1 (/ (* b (cos C)) a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a))))
#s(approx (* -1 (* b (+ 1 (* -1 (/ (* a (cos C)) b))))) (*.f64 a (+.f64 (cos.f64 C) (*.f64 #s(literal -1 binary64) (/.f64 b a)))))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (/.f64 (cos.f64 C) b) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (cos.f64 C) (*.f64 #s(literal -1 binary64) (/.f64 b a))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) a)) (*.f64 b (cos.f64 C))) a))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 (cos.f64 C) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))))) a))) a)) (*.f64 b (cos.f64 C))) a))))))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 b (cos.f64 C)) a) #s(literal 1 binary64)))))
#s(approx (* -1 (* b (+ 1 (* -1 (/ (* a (cos C)) b))))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 C)) (/.f64 b a)))))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (*.f64 a (cos.f64 C)))) b))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 b (cos.f64 C))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b (*.f64 (cos.f64 C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))))))
#s(approx (* b (cos C)) (*.f64 b (cos.f64 C)))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 (cos.f64 C) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) (pow.f64 b #s(literal 2 binary64)))))))))
#s(approx (+ 1 (* -1 (/ (* b (cos C)) a))) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 C) a)) (/.f64 #s(literal 1 binary64) b))))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 C)) (/.f64 a b))))
#s(approx (* -1 (* b (+ 1 (* -1 (/ (* a (cos C)) b))))) (*.f64 b (-.f64 (/.f64 (*.f64 a (cos.f64 C)) b) #s(literal 1 binary64))))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 a (cos.f64 C)) b) #s(literal 1 binary64)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) b)) (*.f64 a (cos.f64 C))) b))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 (cos.f64 C) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))))) b))) b)) (*.f64 a (cos.f64 C))) b))))))
#s(approx (+ 1 (* -1 (/ (* b (cos C)) a))) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (/.f64 (cos.f64 C) a) (/.f64 #s(literal 1 binary64) b)))))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (cos.f64 C) (*.f64 #s(literal -1 binary64) (/.f64 a b))))))
#s(approx C C)
#s(approx (cos C) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 C #s(literal 2 binary64)))))
#s(approx (cos C) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 C #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos C) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 C #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* a (cos C)) (+.f64 a (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a))))
#s(approx (* a (cos C)) (+.f64 a (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a))))))
#s(approx (* a (cos C)) (+.f64 a (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/24 binary64) a)))))))
#s(approx (/ (* a (cos C)) b) (/.f64 a b))
#s(approx (/ (* a (cos C)) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b)) (/.f64 a b)))
#s(approx (/ (* a (cos C)) b) (+.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b)))) (/.f64 a b)))
#s(approx (/ (* a (cos C)) b) (+.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b)) (*.f64 #s(literal 1/24 binary64) (/.f64 a b)))))) (/.f64 a b)))
#s(approx (* -1 (/ (* a (cos C)) b)) (*.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (* -1 (/ (* a (cos C)) b)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b))))
#s(approx (* -1 (/ (* a (cos C)) b)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))))))
#s(approx (* -1 (/ (* a (cos C)) b)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 a b)) (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b))))))))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b))))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b)))))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b)))))))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 a b)) (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b)))))))))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b)))))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b))))))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b)))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) a)))))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b)))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) a) (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (*.f64 a b)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 a b)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 b (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 a b)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/360 binary64) (*.f64 a b)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 a b)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))))))))))
#s(approx (* b (cos C)) (+.f64 b (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) b))))
#s(approx (* b (cos C)) (+.f64 b (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) b))))))
#s(approx (* b (cos C)) (+.f64 b (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/24 binary64) b)))))))
#s(approx (/ (* b (cos C)) a) (/.f64 b a))
#s(approx (/ (* b (cos C)) a) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)) (/.f64 b a)))
#s(approx (/ (* b (cos C)) a) (+.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)))) (/.f64 b a)))
#s(approx (/ (* b (cos C)) a) (+.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)) (*.f64 #s(literal 1/24 binary64) (/.f64 b a)))))) (/.f64 b a)))
#s(approx (* -1 (/ (* b (cos C)) a)) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
#s(approx (* -1 (/ (* b (cos C)) a)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a))))
#s(approx (* -1 (/ (* b (cos C)) a)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))))))
#s(approx (* -1 (/ (* b (cos C)) a)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b a)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 b a)) (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a))))))))
#s(approx (+ 1 (* -1 (/ (* b (cos C)) a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a))))
#s(approx (+ 1 (* -1 (/ (* b (cos C)) a))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)))))
#s(approx (+ 1 (* -1 (/ (* b (cos C)) a))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))))))
#s(approx (+ 1 (* -1 (/ (* b (cos C)) a))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b a)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 b a)) (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)))))))))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a)))))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a))))))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a)))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a)))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) b) (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) b))))))))
#s(approx (* -1 (* b (+ 1 (* -1 (/ (* a (cos C)) b))))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b))))))
#s(approx (* -1 (* b (+ 1 (* -1 (/ (* a (cos C)) b))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a))))
#s(approx (* -1 (* b (+ 1 (* -1 (/ (* a (cos C)) b))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b))))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a))))))
#s(approx (* -1 (* b (+ 1 (* -1 (/ (* a (cos C)) b))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b))))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/24 binary64) a)))))))
#s(approx (cos C) (cos.f64 C))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b (cos.f64 C)))))))
Calls

9 calls:

TimeVariablePoint
27.0ms
a
-inf
5.0ms
a
0
3.0ms
C
inf
3.0ms
C
-inf
3.0ms
a
inf

rewrite130.0ms (4.5%)

Memory
-17.3MiB live, 409.5MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035247
050233
1217203
21002187
04161187
Stop Event
iter-limit
node-limit
iter-limit
Counts
26 → 520
Calls
Call 1
Inputs
a
b
C
#s(literal 1 binary64)
#s(literal -1 binary64)
(cos.f64 C)
(*.f64 a (cos.f64 C))
(/.f64 (*.f64 a (cos.f64 C)) b)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)))))
(*.f64 #s(literal -1 binary64) a)
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) a))
#s(literal 2 binary64)
(pow.f64 a #s(literal 2 binary64))
(sqrt.f64 (pow.f64 a #s(literal 2 binary64)))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))
(*.f64 b (cos.f64 C))
(/.f64 (*.f64 b (cos.f64 C)) a)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b))))))
Outputs
a
b
C
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 C) #s(literal 1 binary64)) (*.f64 (sin.f64 C) #s(literal 0 binary64)))) (*.f64 (sin.f64 C) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) (*.f64 (sin.f64 C) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 C) #s(literal 1 binary64)) (*.f64 (cos.f64 C) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) (*.f64 (cos.f64 C) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 C) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) (*.f64 (sin.f64 C) #s(literal 0 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 C) #s(literal 1 binary64)) (*.f64 (cos.f64 C) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) (*.f64 (cos.f64 C) #s(literal 1 binary64))))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 C)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (-.f64 (neg.f64 C) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(sin.f64 (-.f64 (fabs.f64 C) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(sin.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) C))
(-.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 C)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) (neg.f64 (*.f64 (cos.f64 C) #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) (*.f64 (cos.f64 C) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 C))))
(cos.f64 (neg.f64 (fabs.f64 C)))
(cos.f64 (neg.f64 C))
(cos.f64 (fabs.f64 C))
(cos.f64 C)
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 C)) (*.f64 #s(literal 0 binary64) (sin.f64 C)))
(+.f64 (*.f64 (sin.f64 (neg.f64 C)) #s(literal 0 binary64)) (*.f64 (cos.f64 C) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 C)) #s(literal 0 binary64)) (*.f64 (cos.f64 C) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) (*.f64 (cos.f64 C) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 C))) a)
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 C)) a)
(*.f64 (neg.f64 (neg.f64 (cos.f64 C))) a)
(*.f64 (*.f64 (cos.f64 C) a) #s(literal 1 binary64))
(*.f64 (neg.f64 (cos.f64 C)) (neg.f64 a))
(*.f64 (*.f64 (cos.f64 C) #s(literal 1 binary64)) a)
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(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 (cos.f64 C) b) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)) (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)) (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b))) (+.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 C) b) a))))
(/.f64 (+.f64 (*.f64 (*.f64 (neg.f64 b) (cos.f64 C)) #s(literal 2 binary64)) (+.f64 a a)) (+.f64 a a))
(/.f64 (+.f64 (+.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 b) (cos.f64 C)))) (+.f64 a a))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (+.f64 b b) (cos.f64 C))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 b) (cos.f64 C)))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)))) #s(literal -2 binary64))
(/.f64 (-.f64 (+.f64 a a) (*.f64 (+.f64 b b) (cos.f64 C))) (+.f64 a a))
(/.f64 (neg.f64 (-.f64 a (*.f64 (cos.f64 C) b))) (neg.f64 a))
(/.f64 (-.f64 (/.f64 (*.f64 (cos.f64 C) b) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 a (*.f64 (cos.f64 C) b)) a)
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)) (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (cos.f64 C) b) a) (/.f64 (*.f64 (cos.f64 C) b) a))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 C) b) a)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)) (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b))) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 C) b) a) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 C) b) a) (/.f64 (*.f64 (cos.f64 C) b) a)) (/.f64 (*.f64 (cos.f64 C) b) a))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)) (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)) (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b))) (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)))))
(/.f64 (/.f64 (-.f64 a (*.f64 (cos.f64 C) b)) a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 a (*.f64 (cos.f64 C) b))))
(neg.f64 (-.f64 (/.f64 (*.f64 (cos.f64 C) b) a) #s(literal 1 binary64)))
(-.f64 (/.f64 a a) (/.f64 (*.f64 (/.f64 (*.f64 (cos.f64 C) b) a) a) a))
(-.f64 (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (cos.f64 C) b) a) a) a))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 C) b) a))
(+.f64 (/.f64 (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)) a) (/.f64 a a))
(+.f64 (/.f64 a a) (/.f64 (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)) a))
(+.f64 (/.f64 a a) (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)))
(+.f64 (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)) (/.f64 a a))
(+.f64 (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)) a))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 C) a) (neg.f64 b)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)))) (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)))
(*.f64 (-.f64 a (*.f64 (cos.f64 C) b)) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 a (*.f64 (cos.f64 C) b)) a) a)
(*.f64 #s(literal 1 binary64) (-.f64 a (*.f64 (cos.f64 C) b)))
(*.f64 a (/.f64 (-.f64 a (*.f64 (cos.f64 C) b)) a))
(/.f64 (*.f64 a (-.f64 a (*.f64 (cos.f64 C) b))) a)
(/.f64 (*.f64 (-.f64 a (*.f64 (cos.f64 C) b)) a) a)
(/.f64 (+.f64 (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) a) (cos.f64 C))) a)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)) (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a))) (*.f64 a a)) (-.f64 (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)) a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) (cos.f64 C)) (*.f64 (neg.f64 b) (cos.f64 C)))) (-.f64 a (*.f64 (neg.f64 b) (cos.f64 C))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 C) b) a) a) (*.f64 (/.f64 (*.f64 (cos.f64 C) b) a) a))) (+.f64 a (*.f64 (/.f64 (*.f64 (cos.f64 C) b) a) a)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)) (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a))) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)) a))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 b) (cos.f64 C)) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 (neg.f64 b) (cos.f64 C)) (*.f64 (neg.f64 b) (cos.f64 C))) (*.f64 (*.f64 (neg.f64 b) a) (cos.f64 C)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 C) b) a) a) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 C) b) a) a) (*.f64 (/.f64 (*.f64 (cos.f64 C) b) a) a)) (*.f64 a (*.f64 (/.f64 (*.f64 (cos.f64 C) b) a) a)))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)) (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)))) (-.f64 a (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)) (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a))) (*.f64 a (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a))))))
(neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 C) b) a) #s(literal 1 binary64)) a))
(neg.f64 (*.f64 (neg.f64 a) (/.f64 (-.f64 a (*.f64 (cos.f64 C) b)) a)))
(neg.f64 (*.f64 (/.f64 (-.f64 a (*.f64 (cos.f64 C) b)) a) (neg.f64 a)))
(neg.f64 (*.f64 a (-.f64 (/.f64 (*.f64 (cos.f64 C) b) a) #s(literal 1 binary64))))
(neg.f64 (+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 C) b) a) a) (neg.f64 a)))
(neg.f64 (+.f64 (neg.f64 a) (*.f64 (/.f64 (*.f64 (cos.f64 C) b) a) a)))
(neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 C) b) a) a) a))
(neg.f64 (+.f64 (neg.f64 a) (*.f64 (cos.f64 C) b)))
(-.f64 (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)) (neg.f64 a))
(-.f64 a (*.f64 (/.f64 (*.f64 (cos.f64 C) b) a) a))
(-.f64 a (*.f64 (cos.f64 C) b))
(+.f64 (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)) a)
(+.f64 a (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) a)))
(+.f64 a (*.f64 (neg.f64 b) (cos.f64 C)))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (-.f64 a (*.f64 (cos.f64 C) b)))
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 C) b) a) #s(literal 1 binary64)) #s(literal 1 binary64)) b)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a))) (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a) (neg.f64 b))) (neg.f64 b))
(*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 C) b) a) #s(literal 1 binary64)) b)
(*.f64 (neg.f64 b) (/.f64 (-.f64 b (*.f64 (cos.f64 C) a)) b))
(*.f64 (+.f64 (neg.f64 b) (*.f64 (cos.f64 C) a)) #s(literal 1 binary64))
(*.f64 (-.f64 b (*.f64 (cos.f64 C) a)) #s(literal -1 binary64))
(*.f64 (/.f64 (-.f64 b (*.f64 (cos.f64 C) a)) b) (neg.f64 b))
(*.f64 #s(literal -1 binary64) (-.f64 b (*.f64 (cos.f64 C) a)))
(*.f64 #s(literal 1 binary64) (+.f64 (neg.f64 b) (*.f64 (cos.f64 C) a)))
(*.f64 b (-.f64 (*.f64 (/.f64 (cos.f64 C) b) a) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 b) (-.f64 b (*.f64 (cos.f64 C) a))) b)
(/.f64 (*.f64 (-.f64 b (*.f64 (cos.f64 C) a)) (neg.f64 b)) b)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a) (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a) (neg.f64 b)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a) (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a))) (-.f64 (neg.f64 b) (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a) (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a)) (-.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a) (neg.f64 b)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a) #s(literal 3 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a) (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a)) (*.f64 (neg.f64 b) (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a)))))
(neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 C) b) a) #s(literal 1 binary64)) (neg.f64 b)))
(neg.f64 (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (cos.f64 C) b) a) #s(literal 1 binary64))))
(neg.f64 (-.f64 b (*.f64 (cos.f64 C) a)))
(-.f64 (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a) b)
(-.f64 (neg.f64 b) (*.f64 (neg.f64 a) (cos.f64 C)))
(-.f64 (neg.f64 b) (*.f64 (*.f64 (neg.f64 b) a) (/.f64 (cos.f64 C) b)))
(+.f64 (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a) (neg.f64 b))
(+.f64 (neg.f64 b) (*.f64 (*.f64 b (/.f64 (cos.f64 C) b)) a))
(+.f64 (neg.f64 b) (*.f64 (cos.f64 C) a))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (neg.f64 b) (*.f64 (cos.f64 C) a)))

eval96.0ms (3.3%)

Memory
35.5MiB live, 219.2MiB allocated; 69ms collecting garbage
Compiler

Compiled 32 063 to 3 702 computations (88.5% saved)

prune20.0ms (0.7%)

Memory
8.6MiB live, 54.6MiB allocated; 7ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New8746880
Fresh404
Picked505
Done000
Total8836889
Accuracy
100.0%
Counts
889 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (-.f64 b (*.f64 (cos.f64 C) a)))
100.0%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* a (cos C)) b) (/.f64 a b))))))
2.5%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* b (cos C)) a) (/.f64 b a))))))
2.5%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* a (cos C)) b) (/.f64 a b)))))))
6.2%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (fabs.f64 a))
95.9%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) b))
Compiler

Compiled 360 to 248 computations (31.1% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1
Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series59.0ms (2.1%)

Memory
-31.3MiB live, 117.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05013210
Stop Event
iter-limit
Counts
25 → 101
Calls
Call 1
Inputs
a
b
C
(cos.f64 C)
(*.f64 (cos.f64 C) a)
(-.f64 b (*.f64 (cos.f64 C) a))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (-.f64 b (*.f64 (cos.f64 C) a)))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) b)
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) b))
(fabs.f64 a)
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (fabs.f64 a))
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 b a)
#s(approx (/ (* b (cos C)) a) (/.f64 b a))
(*.f64 #s(literal -1 binary64) #s(approx (/ (* b (cos C)) a) (/.f64 b a)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* b (cos C)) a) (/.f64 b a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* b (cos C)) a) (/.f64 b a)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* b (cos C)) a) (/.f64 b a))))))
(/.f64 a b)
#s(approx (/ (* a (cos C)) b) (/.f64 a b))
(*.f64 #s(literal -1 binary64) #s(approx (/ (* a (cos C)) b) (/.f64 a b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* a (cos C)) b) (/.f64 a b))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* a (cos C)) b) (/.f64 a b)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* a (cos C)) b) (/.f64 a b))))))
Outputs
#s(approx a a)
#s(approx (* (cos C) a) (*.f64 a (cos.f64 C)))
#s(approx (- b (* (cos C) a)) b)
#s(approx (- b (* (cos C) a)) (+.f64 b (*.f64 #s(literal -1 binary64) (*.f64 a (cos.f64 C)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 b (cos.f64 C))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b (*.f64 (cos.f64 C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))))))
#s(approx (fabs a) (fabs.f64 a))
#s(approx (/ b a) (/.f64 b a))
#s(approx (/ (* b (cos C)) a) (/.f64 (*.f64 b (cos.f64 C)) a))
#s(approx (* -1 (/ (* b (cos C)) a)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)))
#s(approx (+ 1 (* -1 (/ (* b (cos C)) a))) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) (*.f64 b (cos.f64 C)))) a))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (*.f64 #s(literal -1 binary64) (*.f64 b (cos.f64 C))))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (+.f64 a (*.f64 #s(literal -1 binary64) (*.f64 b (cos.f64 C)))))
#s(approx (/ a b) (/.f64 a b))
#s(approx (/ (* a (cos C)) b) (/.f64 (*.f64 a (cos.f64 C)) b))
#s(approx (* -1 (/ (* a (cos C)) b)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) #s(literal 1 binary64))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b))))
#s(approx (- b (* (cos C) a)) (*.f64 #s(literal -1 binary64) (*.f64 a (cos.f64 C))))
#s(approx (- b (* (cos C) a)) (*.f64 a (-.f64 (/.f64 b a) (cos.f64 C))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 (cos.f64 C) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 C)) (/.f64 b a))))
#s(approx (+ 1 (* -1 (/ (* b (cos C)) a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a))))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 C) b)) (/.f64 #s(literal 1 binary64) a))))
#s(approx (- b (* (cos C) a)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 #s(literal -1 binary64) (cos.f64 C))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) a))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) a)) (*.f64 b (cos.f64 C))) a))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 (cos.f64 C) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))))) a))) a)) (*.f64 b (cos.f64 C))) a))))))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (cos.f64 C) (*.f64 #s(literal -1 binary64) (/.f64 b a))))))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 b (cos.f64 C)) a) #s(literal 1 binary64)))))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (/.f64 (cos.f64 C) b) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (- b (* (cos C) a)) (-.f64 b (*.f64 a (cos.f64 C))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 b (cos.f64 C))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b (*.f64 (cos.f64 C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))))))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (*.f64 a (cos.f64 C)))) b))
#s(approx (- b (* (cos C) a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 (cos.f64 C) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) (pow.f64 b #s(literal 2 binary64)))))))))
#s(approx (+ 1 (* -1 (/ (* b (cos C)) a))) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 C) a)) (/.f64 #s(literal 1 binary64) b))))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 C)) (/.f64 a b))))
#s(approx (- b (* (cos C) a)) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 a (cos.f64 C)) b) #s(literal 1 binary64)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) b))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) b)) (*.f64 a (cos.f64 C))) b))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 (cos.f64 C) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))))) b))) b)) (*.f64 a (cos.f64 C))) b))))))
#s(approx (+ 1 (* -1 (/ (* b (cos C)) a))) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (/.f64 (cos.f64 C) a) (/.f64 #s(literal 1 binary64) b)))))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (cos.f64 C) (*.f64 #s(literal -1 binary64) (/.f64 a b))))))
#s(approx C C)
#s(approx (cos C) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 C #s(literal 2 binary64)))))
#s(approx (cos C) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 C #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos C) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 C #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (cos C) a) (+.f64 a (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a))))
#s(approx (* (cos C) a) (+.f64 a (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a))))))
#s(approx (* (cos C) a) (+.f64 a (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/24 binary64) a)))))))
#s(approx (- b (* (cos C) a)) (-.f64 b a))
#s(approx (- b (* (cos C) a)) (-.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a))) a))
#s(approx (- b (* (cos C) a)) (-.f64 (+.f64 b (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a)) (*.f64 #s(literal -1/2 binary64) a)))) a))
#s(approx (- b (* (cos C) a)) (-.f64 (+.f64 b (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/24 binary64) a))) (*.f64 #s(literal -1/2 binary64) a)))) a))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (*.f64 a b)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 a b)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 b (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 a b)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/360 binary64) (*.f64 a b)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 a b)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))))))))))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b)))))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b))))))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b)))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) a)))))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b)))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) a) (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a))))))))
#s(approx (/ (* b (cos C)) a) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)) (/.f64 b a)))
#s(approx (/ (* b (cos C)) a) (+.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)))) (/.f64 b a)))
#s(approx (/ (* b (cos C)) a) (+.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)) (*.f64 #s(literal 1/24 binary64) (/.f64 b a)))))) (/.f64 b a)))
#s(approx (* -1 (/ (* b (cos C)) a)) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
#s(approx (* -1 (/ (* b (cos C)) a)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a))))
#s(approx (* -1 (/ (* b (cos C)) a)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))))))
#s(approx (* -1 (/ (* b (cos C)) a)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b a)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 b a)) (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a))))))))
#s(approx (+ 1 (* -1 (/ (* b (cos C)) a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a))))
#s(approx (+ 1 (* -1 (/ (* b (cos C)) a))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)))))
#s(approx (+ 1 (* -1 (/ (* b (cos C)) a))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))))))
#s(approx (+ 1 (* -1 (/ (* b (cos C)) a))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b a)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 b a)) (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)))))))))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a)))))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a))))))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a)))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (* a (+ 1 (* -1 (/ (* b (cos C)) a)))) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a)))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) b) (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) b))))))))
#s(approx (/ (* a (cos C)) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b)) (/.f64 a b)))
#s(approx (/ (* a (cos C)) b) (+.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b)))) (/.f64 a b)))
#s(approx (/ (* a (cos C)) b) (+.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b)) (*.f64 #s(literal 1/24 binary64) (/.f64 a b)))))) (/.f64 a b)))
#s(approx (* -1 (/ (* a (cos C)) b)) (*.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (* -1 (/ (* a (cos C)) b)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b))))
#s(approx (* -1 (/ (* a (cos C)) b)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))))))
#s(approx (* -1 (/ (* a (cos C)) b)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 a b)) (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b))))))))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b))))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b)))))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b)))))))
#s(approx (+ 1 (* -1 (/ (* a (cos C)) b))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 a b)) (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) a) b)))))))))
#s(approx (cos C) (cos.f64 C))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b (cos.f64 C)))))))
Calls

9 calls:

TimeVariablePoint
7.0ms
b
inf
7.0ms
b
-inf
6.0ms
a
0
3.0ms
a
-inf
3.0ms
a
inf

rewrite115.0ms (4.0%)

Memory
-6.6MiB live, 174.7MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042287
054277
1272261
21178251
04158251
Stop Event
iter-limit
node-limit
iter-limit
Counts
25 → 236
Calls
Call 1
Inputs
a
b
C
(cos.f64 C)
(*.f64 (cos.f64 C) a)
(-.f64 b (*.f64 (cos.f64 C) a))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (-.f64 b (*.f64 (cos.f64 C) a)))
#s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) b)
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) b))
(fabs.f64 a)
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (fabs.f64 a))
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 b a)
#s(approx (/ (* b (cos C)) a) (/.f64 b a))
(*.f64 #s(literal -1 binary64) #s(approx (/ (* b (cos C)) a) (/.f64 b a)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* b (cos C)) a) (/.f64 b a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* b (cos C)) a) (/.f64 b a)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* b (cos C)) a) (/.f64 b a))))))
(/.f64 a b)
#s(approx (/ (* a (cos C)) b) (/.f64 a b))
(*.f64 #s(literal -1 binary64) #s(approx (/ (* a (cos C)) b) (/.f64 a b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* a (cos C)) b) (/.f64 a b))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* a (cos C)) b) (/.f64 a b)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* a (cos C)) b) (/.f64 a b))))))
Outputs
a
b
C
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 C) #s(literal 1 binary64)) (*.f64 (sin.f64 C) #s(literal 0 binary64)))) (*.f64 (sin.f64 C) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) (*.f64 (sin.f64 C) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 C) #s(literal 1 binary64)) (*.f64 (cos.f64 C) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) (*.f64 (cos.f64 C) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 C) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) (*.f64 (sin.f64 C) #s(literal 0 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 C) #s(literal 1 binary64)) (*.f64 (cos.f64 C) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) (*.f64 (cos.f64 C) #s(literal 1 binary64))))))
(neg.f64 (neg.f64 (cos.f64 C)))
(sin.f64 (neg.f64 (+.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) C) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 C)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 C)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) C) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) C) (PI.f64)) (PI.f64)))
(sin.f64 (-.f64 (neg.f64 C) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(sin.f64 (-.f64 (fabs.f64 C) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(sin.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) C))
(-.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 C)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) (neg.f64 (*.f64 (cos.f64 C) #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) (*.f64 (cos.f64 C) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 C))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 C))))
(cos.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) C) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) C) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) C) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (neg.f64 C) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (fabs.f64 C) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 C (PI.f64)) (PI.f64)))
(cos.f64 (neg.f64 (neg.f64 C)))
(cos.f64 (neg.f64 (fabs.f64 C)))
(cos.f64 (neg.f64 C))
(cos.f64 (fabs.f64 C))
(cos.f64 C)
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 C)) (*.f64 #s(literal 0 binary64) (sin.f64 C)))
(+.f64 (*.f64 (sin.f64 (neg.f64 C)) #s(literal 0 binary64)) (*.f64 (cos.f64 C) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 C)) #s(literal 0 binary64)) (*.f64 (cos.f64 C) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) (*.f64 (cos.f64 C) #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (cos.f64 C))) a)
(*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 C)) (neg.f64 a))
(*.f64 (*.f64 (cos.f64 C) a) #s(literal 1 binary64))
(*.f64 (neg.f64 (cos.f64 C)) (neg.f64 a))
(*.f64 (*.f64 (neg.f64 a) (cos.f64 C)) #s(literal -1 binary64))
(*.f64 (neg.f64 a) (neg.f64 (cos.f64 C)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) (cos.f64 C)))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 C) a))
(*.f64 (cos.f64 C) a)
(*.f64 a (cos.f64 C))
(neg.f64 (*.f64 (*.f64 (neg.f64 a) (cos.f64 C)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 a) (cos.f64 C)))
(+.f64 (*.f64 a (*.f64 (sin.f64 C) #s(literal 0 binary64))) (*.f64 a (*.f64 (cos.f64 C) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 C) #s(literal 0 binary64)) a) (*.f64 (*.f64 (cos.f64 C) #s(literal 1 binary64)) a))
(+.f64 (*.f64 (cos.f64 C) a) (*.f64 (*.f64 (cos.f64 C) a) #s(literal 0 binary64)))
(+.f64 (*.f64 (cos.f64 C) a) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 C) a)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) (neg.f64 b)))) (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) (neg.f64 b)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (neg.f64 a) (cos.f64 C)))) (*.f64 (neg.f64 a) (cos.f64 C)))
(*.f64 (/.f64 (-.f64 b (*.f64 (cos.f64 C) a)) b) b)
(*.f64 b (/.f64 (-.f64 b (*.f64 (cos.f64 C) a)) b))
(/.f64 (+.f64 (*.f64 b b) (neg.f64 (*.f64 b (*.f64 (cos.f64 C) a)))) b)
(/.f64 (+.f64 (*.f64 b b) (neg.f64 (*.f64 (*.f64 (cos.f64 C) a) b))) b)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) (neg.f64 b)) (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) (neg.f64 b))) (*.f64 b b)) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) (neg.f64 b)) b))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 a) (cos.f64 C)) (*.f64 (neg.f64 a) (cos.f64 C))) (*.f64 b b)) (-.f64 (*.f64 (neg.f64 a) (cos.f64 C)) b))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) b) (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) b))) (+.f64 b (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) b)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 (cos.f64 C) a) (*.f64 (cos.f64 C) a))) (+.f64 b (*.f64 (cos.f64 C) a)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) (neg.f64 b)) (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) (neg.f64 b))) (-.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) (neg.f64 b)) b))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 a) (cos.f64 C)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (neg.f64 a) (cos.f64 C)) (*.f64 (neg.f64 a) (cos.f64 C))) (-.f64 (*.f64 b b) (neg.f64 (*.f64 (*.f64 (cos.f64 C) a) b)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) b) #s(literal 3 binary64))) (+.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) b) (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) b)) (*.f64 b (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) b)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 C) a) #s(literal 3 binary64))) (+.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 (cos.f64 C) a) (*.f64 (cos.f64 C) a)) (*.f64 b (*.f64 (cos.f64 C) a)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 (neg.f64 a) (cos.f64 C)) (*.f64 (neg.f64 a) (cos.f64 C)))) (-.f64 b (*.f64 (neg.f64 a) (cos.f64 C))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) (neg.f64 b)) (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) (neg.f64 b)))) (-.f64 b (*.f64 (*.f64 (/.f64 (cos.f64 C) b) a) (neg.f64 b))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 a) (cos.f64 C)) #s(literal 3 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 (neg.f64 a) (cos.f64 C)) (*.f64 (neg.f64 a) (cos.f64 C))) (neg.f64 (*.f64 b (*.f64 (cos.f64 C) a))))))
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(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b)) (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b))) (*.f64 b b)) (-.f64 (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b)) b))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) b) (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) b))) (+.f64 b (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) b)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b)) (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b))) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b)) b))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) b) #s(literal 3 binary64))) (+.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) b) (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) b)) (*.f64 b (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) b)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b)) (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b)))) (-.f64 b (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b)) #s(literal 3 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b)) (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b))) (*.f64 b (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b))))))
(neg.f64 (*.f64 (-.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) #s(literal 1 binary64)) b))
(neg.f64 (*.f64 (neg.f64 b) (-.f64 #s(literal 1 binary64) #s(approx (/ (* a (cos C)) b) (/.f64 a b)))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (* a (cos C)) b) (/.f64 a b))) (neg.f64 b)))
(neg.f64 (*.f64 b (-.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) #s(literal 1 binary64))))
(neg.f64 (+.f64 (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) b) (neg.f64 b)))
(neg.f64 (+.f64 (neg.f64 b) (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) b)))
(neg.f64 (-.f64 (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) b) b))
(-.f64 (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b)) (neg.f64 b))
(-.f64 b (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) b))
(+.f64 (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b)) b)
(+.f64 b (*.f64 #s(approx (/ (* a (cos C)) b) (/.f64 a b)) (neg.f64 b)))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (* a (cos C)) b) (/.f64 a b))) b))

eval55.0ms (1.9%)

Memory
16.5MiB live, 59.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 13 251 to 1 697 computations (87.2% saved)

prune6.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3182320
Fresh101
Picked505
Done-220
Total3224326
Accuracy
100.0%
Counts
326 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.5%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (-.f64 a (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a)))
6.2%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (fabs.f64 a))
100.0%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (- b (* (cos C) a)) (-.f64 b a)))
95.9%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) b))
Compiler

Compiled 112 to 75 computations (33.0% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series66.0ms (2.3%)

Memory
11.3MiB live, 59.9MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03812169
Stop Event
iter-limit
Counts
10 → 63
Calls
Call 1
Inputs
a
b
(-.f64 b a)
#s(approx (- b (* (cos C) a)) (-.f64 b a))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (- b (* (cos C) a)) (-.f64 b a)))
(/.f64 b a)
#s(approx (/ (* b (cos C)) a) (/.f64 b a))
(*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a)
(-.f64 a (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (-.f64 a (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a)))
Outputs
#s(approx a a)
#s(approx (- b a) b)
#s(approx (- b a) (+.f64 b (*.f64 #s(literal -1 binary64) a)))
#s(approx (- b (* (cos C) a)) (+.f64 b (*.f64 #s(literal -1 binary64) (*.f64 a (cos.f64 C)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 b (cos.f64 C))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b (*.f64 (cos.f64 C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))))))
#s(approx (/ b a) (/.f64 b a))
#s(approx (/ (* b (cos C)) a) (/.f64 (*.f64 b (cos.f64 C)) a))
#s(approx (* (/ (* b (cos C)) a) a) (*.f64 b (cos.f64 C)))
#s(approx (- a (* (/ (* b (cos C)) a) a)) (*.f64 #s(literal -1 binary64) (*.f64 b (cos.f64 C))))
#s(approx (- a (* (/ (* b (cos C)) a) a)) (-.f64 a (*.f64 b (cos.f64 C))))
#s(approx (- b a) (*.f64 #s(literal -1 binary64) a))
#s(approx (- b a) (*.f64 a (-.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (- b (* (cos C) a)) (*.f64 #s(literal -1 binary64) (*.f64 a (cos.f64 C))))
#s(approx (- b (* (cos C) a)) (*.f64 a (-.f64 (/.f64 b a) (cos.f64 C))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 (cos.f64 C) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (- b a) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a))))))
#s(approx (- b (* (cos C) a)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 #s(literal -1 binary64) (cos.f64 C))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) a)) (*.f64 b (cos.f64 C))) a))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 (cos.f64 C) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))))) a))) a)) (*.f64 b (cos.f64 C))) a))))))
#s(approx (- a (* (/ (* b (cos C)) a) a)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 b (cos.f64 C)) a) #s(literal 1 binary64)))))
#s(approx (- b a) (-.f64 b a))
#s(approx (- b (* (cos C) a)) (-.f64 b (*.f64 a (cos.f64 C))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 b (cos.f64 C))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b (*.f64 (cos.f64 C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))))))
#s(approx (- a (* (/ (* b (cos C)) a) a)) (+.f64 a (*.f64 #s(literal -1 binary64) (*.f64 b (cos.f64 C)))))
#s(approx (- b a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b)))))
#s(approx (- b (* (cos C) a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 (cos.f64 C) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) (pow.f64 b #s(literal 2 binary64)))))))))
#s(approx (- a (* (/ (* b (cos C)) a) a)) (*.f64 b (-.f64 (/.f64 a b) (cos.f64 C))))
#s(approx (- b a) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (/.f64 a b) #s(literal 1 binary64)))))
#s(approx (- b (* (cos C) a)) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 a (cos.f64 C)) b) #s(literal 1 binary64)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) b))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))) b)) (*.f64 a (cos.f64 C))) b))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 (cos.f64 C) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cos.f64 C) #s(literal 2 binary64)))))) b))) b)) (*.f64 a (cos.f64 C))) b))))))
#s(approx (- a (* (/ (* b (cos C)) a) a)) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (*.f64 #s(literal -1 binary64) (cos.f64 C))))))
#s(approx (- b (* (cos C) a)) (-.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a))) a))
#s(approx (- b (* (cos C) a)) (-.f64 (+.f64 b (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a)) (*.f64 #s(literal -1/2 binary64) a)))) a))
#s(approx (- b (* (cos C) a)) (-.f64 (+.f64 b (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/24 binary64) a))) (*.f64 #s(literal -1/2 binary64) a)))) a))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (*.f64 a b)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 a b)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 b (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 a b)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/360 binary64) (*.f64 a b)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 a b)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b))))))))))))
#s(approx (/ (* b (cos C)) a) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)) (/.f64 b a)))
#s(approx (/ (* b (cos C)) a) (+.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)))) (/.f64 b a)))
#s(approx (/ (* b (cos C)) a) (+.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) b) a)) (*.f64 #s(literal 1/24 binary64) (/.f64 b a)))))) (/.f64 b a)))
#s(approx (* (/ (* b (cos C)) a) a) (+.f64 b (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) b))))
#s(approx (* (/ (* b (cos C)) a) a) (+.f64 b (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) b))))))
#s(approx (* (/ (* b (cos C)) a) a) (+.f64 b (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 (pow.f64 C #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/24 binary64) b)))))))
#s(approx (- a (* (/ (* b (cos C)) a) a)) (-.f64 a b))
#s(approx (- a (* (/ (* b (cos C)) a) a)) (-.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) b))) b))
#s(approx (- a (* (/ (* b (cos C)) a) a)) (-.f64 (+.f64 a (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) b)) (*.f64 #s(literal -1/2 binary64) b)))) b))
#s(approx (- a (* (/ (* b (cos C)) a) a)) (-.f64 (+.f64 a (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 C #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 C #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/24 binary64) b))) (*.f64 #s(literal -1/2 binary64) b)))) b))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b (cos.f64 C)))))))
Calls

9 calls:

TimeVariablePoint
39.0ms
C
inf
2.0ms
b
-inf
2.0ms
C
-inf
2.0ms
a
-inf
1.0ms
b
inf

rewrite194.0ms (6.7%)

Memory
-72.1MiB live, 298.3MiB allocated; 118ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025114
029114
1179114
2655110
32402110
04077110
Stop Event
iter-limit
node-limit
iter-limit
Counts
10 → 55
Calls
Call 1
Inputs
a
b
(-.f64 b a)
#s(approx (- b (* (cos C) a)) (-.f64 b a))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (- b (* (cos C) a)) (-.f64 b a)))
(/.f64 b a)
#s(approx (/ (* b (cos C)) a) (/.f64 b a))
(*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a)
(-.f64 a (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (-.f64 a (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a)))
Outputs
a
b
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) (neg.f64 a))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)) b)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(/.f64 (+.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 b b) (*.f64 (neg.f64 a) b))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 a a) (*.f64 (neg.f64 a) b))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 (neg.f64 a) b))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b (neg.f64 a)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 b a))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 b b) (+.f64 (*.f64 a a) (*.f64 b a))))
(neg.f64 (-.f64 a b))
(-.f64 (neg.f64 a) (neg.f64 b))
(-.f64 b a)
(+.f64 (neg.f64 a) b)
(+.f64 b (neg.f64 a))
#s(approx (- b (* (cos C) a)) (-.f64 b a))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (- b (* (cos C) a)) (-.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))
(*.f64 b (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (neg.f64 a))
(/.f64 (*.f64 b #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (*.f64 #s(literal -1 binary64) b) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b a)
(neg.f64 (/.f64 (neg.f64 b) a))
#s(approx (/ (* b (cos C)) a) (/.f64 b a))
(neg.f64 (neg.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a))))
(*.f64 (neg.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a))) (neg.f64 a))
(*.f64 (neg.f64 a) (neg.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a))))
(*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a)
(*.f64 a #s(approx (/ (* b (cos C)) a) (/.f64 b a)))
(neg.f64 (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a))))) (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a) a)) a)
(*.f64 (-.f64 (neg.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a))) #s(literal -1 binary64)) a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a))) a)) a)
(*.f64 a (-.f64 (neg.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a))) (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a)))) (*.f64 a a)) (-.f64 (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a))) a))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a))) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a))) (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a)))) (-.f64 (*.f64 a a) (*.f64 (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a))) a))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a))) (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a))))) (-.f64 a (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a)))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a))) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a))) (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a)))) (*.f64 a (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a)))))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a) (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a))) (+.f64 a (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a) (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a)) (*.f64 a (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a)))))
(neg.f64 (-.f64 (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a) a))
(-.f64 (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a))) (neg.f64 a))
(-.f64 a (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a))
(+.f64 (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a))) a)
(+.f64 a (*.f64 (neg.f64 a) #s(approx (/ (* b (cos C)) a) (/.f64 b a))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (-.f64 a (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a)))

eval11.0ms (0.4%)

Memory
32.3MiB live, 32.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 4 861 to 672 computations (86.2% saved)

prune13.0ms (0.5%)

Memory
-33.6MiB live, 14.3MiB allocated; 17ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1101111
Fresh000
Picked202
Done-132
Total1114115
Accuracy
100.0%
Counts
115 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (fabs.f64 a))
100.0%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (- b (* (cos C) a)) (-.f64 b a)))
2.5%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (- a (* (/ (* b (cos C)) a) a)) (-.f64 a b)))
95.9%
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) b))
Compiler

Compiled 112 to 75 computations (33.0% saved)

regimes53.0ms (1.9%)

Memory
47.6MiB live, 136.8MiB allocated; 13ms collecting garbage
Counts
3 → 1
19 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) b))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (fabs.f64 a))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (- a (* (/ (* b (cos C)) a) a)) (-.f64 a b)))
Outputs
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) b))
Call 2
Inputs
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (* b (+ 1 (* -1 (/ (* a (cos C)) b)))) b))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (fabs.f64 a))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (- a (* (/ (* b (cos C)) a) a)) (-.f64 a b)))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (- b (* (cos C) a)) (-.f64 b a)))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) a))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) b))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (-.f64 a (*.f64 #s(approx (/ (* b (cos C)) a) (/.f64 b a)) a)))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* b (cos C)) a) (/.f64 b a))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* a (cos C)) b) (/.f64 a b))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (/ (* a (cos C)) b) (/.f64 a b)))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (-.f64 b (*.f64 (cos.f64 C) a)))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b)))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (cos.f64 C)) a))))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (cos.f64 C)) b))))))
(sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (cos.f64 C))))
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 b (cos.f64 C))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))
Outputs
#s(approx (sqrt (- (+ (pow a 2) (pow b 2)) (* (* (* 2 a) b) (cos C)))) #s(approx (- b (* (cos C) a)) (-.f64 b a)))
Calls

12 calls:

9.0ms
a
8.0ms
(cos.f64 C)
6.0ms
C
5.0ms
b
5.0ms
(sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (cos.f64 C))))
Results
AccuracySegmentsBranch
95.9%1(cos.f64 C)
95.9%1(-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (cos.f64 C)))
95.9%1(sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (cos.f64 C))))
95.9%1a
95.9%1b
95.9%1C
100.0%1(cos.f64 C)
100.0%1(-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (cos.f64 C)))
100.0%1(sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (cos.f64 C))))
100.0%1a
100.0%1b
100.0%1C
Compiler

Compiled 611 to 173 computations (71.7% saved)

derivations19.0ms (0.6%)

Memory
-31.7MiB live, 14.1MiB allocated; 4ms collecting garbage
Stop Event
fuel
Compiler

Compiled 60 to 27 computations (55.0% saved)

preprocess25.0ms (0.9%)

Memory
-0.6MiB live, 49.0MiB allocated; 13ms collecting garbage
Symmetry

(sort a b)

Compiler

Compiled 469 to 282 computations (39.9% saved)

end0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

Profiling

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