Trigonometry A

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze6.0ms (0.2%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.3s (38.3%)

Memory
45.5MiB live, 1 711.1MiB allocated; 292ms collecting garbage
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 785.0ms
ival-cos: 289.0ms (36.8% of total)
ival-sin: 278.0ms (35.4% of total)
ival-mult!: 164.0ms (20.9% of total)
ival-div!: 33.0ms (4.2% of total)
ival-add!: 20.0ms (2.5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess84.0ms (2.4%)

Memory
-42.3MiB live, 55.0MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02970
18268
217066
333866
468566
5167366
6695766
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Symmetry

(negabs v)

Compiler

Compiled 18 to 18 computations (0% saved)

series16.0ms (0.4%)

Memory
-2.5MiB live, 44.2MiB allocated; 3ms collecting garbage
Counts
9 → 46
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(cos.f64 v)
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* e (sin v))))
#s(approx e #s(hole binary64 e))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 1))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (* e (cos v)) #s(hole binary64 (* e (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (cos v))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* e (sin v)) #s(hole binary64 (* e v)))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx v #s(hole binary64 v))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 e)))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))))
#s(approx (* e (cos v)) #s(hole binary64 e))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2))))))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))
#s(approx (cos v) #s(hole binary64 1))
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (cos v) #s(hole binary64 (cos v)))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
e
@-inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (cos v))
2.0ms
v
@-inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (cos v))
2.0ms
e
@0
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (cos v))
2.0ms
v
@0
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (cos v))
2.0ms
e
@inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (cos v))

rewrite192.0ms (5.5%)

Memory
22.5MiB live, 395.9MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02471223
02571190
114701156
086581086
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
55 → 89
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* e (sin v))))
#s(approx e #s(hole binary64 e))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 1))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (* e (cos v)) #s(hole binary64 (* e (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (cos v))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* e (sin v)) #s(hole binary64 (* e v)))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx v #s(hole binary64 v))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 e)))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))))
#s(approx (* e (cos v)) #s(hole binary64 e))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2))))))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))
#s(approx (cos v) #s(hole binary64 1))
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (cos v) #s(hole binary64 (cos v)))
Outputs
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 v) e))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e)
(*.f64 e (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 (*.f64 e (/.f64 #s(literal 1 binary64) e)) (*.f64 e (/.f64 #s(literal 1 binary64) e)))) (-.f64 (*.f64 (cos.f64 v) e) (*.f64 e (/.f64 #s(literal 1 binary64) e))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (pow.f64 (*.f64 e (/.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 e (/.f64 #s(literal 1 binary64) e)) (*.f64 e (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (cos.f64 v) e) (*.f64 e (/.f64 #s(literal 1 binary64) e))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(fma.f64 (cos.f64 v) e (*.f64 e (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))))
(+.f64 (*.f64 (cos.f64 v) e) (*.f64 e (/.f64 #s(literal 1 binary64) e)))
(+.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
#s(literal 1 binary64)
(*.f64 (cos.f64 v) e)
(*.f64 e (cos.f64 v))
(pow.f64 (cos.f64 v) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal -1 binary64)))
(sin.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 v)))
(cos.f64 (neg.f64 v))
(cos.f64 v)
(exp.f64 (*.f64 (log.f64 (cos.f64 v)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e) (sin.f64 v)) (*.f64 (cos.f64 v) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (sin.f64 v))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (sin.f64 v)))) e) (*.f64 (cos.f64 v) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (* e (sin v)) (*.f64 (sin.f64 v) e))
#s(approx e e)
#s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))
#s(approx (+ 1 (* e (cos v))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (* e (cos v)) (*.f64 (cos.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (tan.f64 v)) (/.f64 (sin.f64 v) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (*.f64 (*.f64 e e) e)))) (tan.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) (/.f64 (sin.f64 v) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))))
#s(approx (+ 1 (* e (cos v))) (*.f64 (cos.f64 v) e))
#s(approx (+ 1 (* e (cos v))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)))) e)) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)))) e)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (tan.f64 v)))
#s(approx (+ 1 (* e (cos v))) (neg.f64 (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e))) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e))) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e))) (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/24 binary64) (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (* e (sin v)) (*.f64 v e))
#s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (sin v) v)
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx v v)
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
#s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) #s(literal 1 binary64)))
#s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))
#s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))
#s(approx (* e (cos v)) e)
#s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e))
#s(approx (* e (cos v)) (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e))
#s(approx (* e (cos v)) (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e))
#s(approx (cos v) #s(literal 1 binary64))
#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (sin v) (sin.f64 v))
#s(approx (cos v) (cos.f64 v))

eval9.0ms (0.3%)

Memory
25.6MiB live, 25.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 987 to 423 computations (57.1% saved)

prune10.0ms (0.3%)

Memory
-23.2MiB live, 22.6MiB allocated; 6ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New73881
Fresh000
Picked101
Done000
Total74882
Accuracy
99.8%
Counts
82 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
▶98.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
99.6%
(/.f64 (*.f64 e (sin.f64 v)) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e))
▶99.8%
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
50.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
▶98.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v)) e))
97.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
▶51.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
Compiler

Compiled 214 to 204 computations (4.7% saved)

series32.0ms (0.9%)

Memory
-17.4MiB live, 84.3MiB allocated; 9ms collecting garbage
Counts
24 → 167
Calls
Call 1
Inputs
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
e
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
(*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e)))
(/.f64 v (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(*.f64 e (sin.f64 v))
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))
#s(approx (* e (cos v)) e)
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v)) e))
(*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v)) e)
(+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v))
(neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(*.f64 (cos.f64 v) e)
Outputs
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* e (sin v))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx e #s(hole binary64 e))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (sin v)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 1))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e v)))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 v))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e v) v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))
#s(approx (+ 1 e) #s(hole binary64 1))
#s(approx (+ 1 e) #s(hole binary64 (+ 1 e)))
#s(approx (* e (sin v)) #s(hole binary64 (* e (sin v))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 1))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (* e (cos v)) #s(hole binary64 (* e (cos v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (sin v)))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* -1 (* e (* (cos v) (sin v))))))
#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* e (* (cos v) (sin v)))))
#s(approx (* (cos v) e) #s(hole binary64 (* e (cos v))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (* e (cos v)))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (cos v))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 v))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (+ v (* -1 (/ v e))) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e)))
#s(approx (+ 1 e) #s(hole binary64 e))
#s(approx (+ 1 e) #s(hole binary64 (* e (+ 1 (/ 1 e)))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (cos v))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* -1 (* e (* (cos v) (sin v))))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* e (- (/ (sin v) e) (* (cos v) (sin v))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (/ v e)) e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* -1 (* e (- (* -1 (/ (sin v) e)) (* -1 (* (cos v) (sin v))))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ v (+ 1 e))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))))
#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx v #s(hole binary64 v))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 e)))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))))
#s(approx (cos v) #s(hole binary64 1))
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v (+ 1 e))))
#s(approx (* e (sin v)) #s(hole binary64 (* e v)))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 e)))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))))
#s(approx (* e (cos v)) #s(hole binary64 e))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2))))))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* (sin v) e) #s(hole binary64 (* e v)))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* e (* v (- 1 e)))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* -1 (* e (* (pow v 2) (+ 1/6 (* -2/3 e))))) (* e (- 1 e))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (* e (* (pow v 2) (- 1/120 (* 2/15 e))))))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (* (pow v 2) (+ (* -1 (* e (* (pow v 2) (+ 1/5040 (* -4/315 e))))) (* e (- 1/120 (* 2/15 e)))))))))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* v (- 1 e))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* v (- (+ 1 (* -1 (* (pow v 2) (+ 1/6 (* -2/3 e))))) e))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* v (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- 1/120 (* 2/15 e))) (+ 1/6 (* -2/3 e))))) e))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* v (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- (+ 1/120 (* -1 (* (pow v 2) (+ 1/5040 (* -4/315 e))))) (* 2/15 e))) (+ 1/6 (* -2/3 e))))) e))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* -1 (* e v))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* v (- (* 2/3 (* e (pow v 2))) e))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* v (- (* (pow v 2) (- (* -2/15 (* e (pow v 2))) (* -2/3 e))) e))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* v (- (* (pow v 2) (- (* (pow v 2) (- (* 4/315 (* e (pow v 2))) (* 2/15 e))) (* -2/3 e))) e))))
#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* e v)))
#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* v (+ e (* -2/3 (* e (pow v 2)))))))
#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -2/3 e) (* 2/15 (* e (pow v 2)))))))))
#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -2/3 e) (* (pow v 2) (+ (* -4/315 (* e (pow v 2))) (* 2/15 e)))))))))
#s(approx (* (cos v) e) #s(hole binary64 e))
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2))))))
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (+ 1 (* e (cos v))))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* e (- (sin v) (* e (* (cos v) (sin v)))))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (- (sin v) (* e (* (cos v) (sin v))))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
e
@-inf
((* e (/ (sin v) (+ (* (cos v) e) 1))) e (/ (sin v) (+ (* (cos v) e) 1)) (sin v) v (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* e (cos v)) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (neg (* (* (cos v) e) (sin v))) (* (* (cos v) e) (sin v)) (* (cos v) e))
6.0ms
v
@inf
((* e (/ (sin v) (+ (* (cos v) e) 1))) e (/ (sin v) (+ (* (cos v) e) 1)) (sin v) v (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* e (cos v)) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (neg (* (* (cos v) e) (sin v))) (* (* (cos v) e) (sin v)) (* (cos v) e))
4.0ms
v
@0
((* e (/ (sin v) (+ (* (cos v) e) 1))) e (/ (sin v) (+ (* (cos v) e) 1)) (sin v) v (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* e (cos v)) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (neg (* (* (cos v) e) (sin v))) (* (* (cos v) e) (sin v)) (* (cos v) e))
3.0ms
v
@-inf
((* e (/ (sin v) (+ (* (cos v) e) 1))) e (/ (sin v) (+ (* (cos v) e) 1)) (sin v) v (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* e (cos v)) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (neg (* (* (cos v) e) (sin v))) (* (* (cos v) e) (sin v)) (* (cos v) e))
3.0ms
e
@inf
((* e (/ (sin v) (+ (* (cos v) e) 1))) e (/ (sin v) (+ (* (cos v) e) 1)) (sin v) v (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* e (cos v)) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (neg (* (* (cos v) e) (sin v))) (* (* (cos v) e) (sin v)) (* (cos v) e))

rewrite188.0ms (5.4%)

Memory
39.6MiB live, 311.8MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06115075
06494846
133284742
089674578
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
191 → 285
Calls
Call 1
Inputs
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
e
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
(*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e)))
(/.f64 v (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(*.f64 e (sin.f64 v))
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))
#s(approx (* e (cos v)) e)
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v)) e))
(*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v)) e)
(+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v))
(neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(*.f64 (cos.f64 v) e)
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#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx e #s(hole binary64 e))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (sin v)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 1))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e v)))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 v))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e v) v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))
#s(approx (+ 1 e) #s(hole binary64 1))
#s(approx (+ 1 e) #s(hole binary64 (+ 1 e)))
#s(approx (* e (sin v)) #s(hole binary64 (* e (sin v))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 1))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (* e (cos v)) #s(hole binary64 (* e (cos v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (sin v)))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* -1 (* e (* (cos v) (sin v))))))
#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* e (* (cos v) (sin v)))))
#s(approx (* (cos v) e) #s(hole binary64 (* e (cos v))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (* e (cos v)))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (cos v))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 v))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (+ v (* -1 (/ v e))) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e)))
#s(approx (+ 1 e) #s(hole binary64 e))
#s(approx (+ 1 e) #s(hole binary64 (* e (+ 1 (/ 1 e)))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (cos v))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* -1 (* e (* (cos v) (sin v))))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* e (- (/ (sin v) e) (* (cos v) (sin v))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (/ v e)) e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* -1 (* e (- (* -1 (/ (sin v) e)) (* -1 (* (cos v) (sin v))))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
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#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
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#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx v #s(hole binary64 v))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 e)))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))))
#s(approx (cos v) #s(hole binary64 1))
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v (+ 1 e))))
#s(approx (* e (sin v)) #s(hole binary64 (* e v)))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 e)))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))))
#s(approx (* e (cos v)) #s(hole binary64 e))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2))))))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* (sin v) e) #s(hole binary64 (* e v)))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* e (* v (- 1 e)))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* -1 (* e (* (pow v 2) (+ 1/6 (* -2/3 e))))) (* e (- 1 e))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (* e (* (pow v 2) (- 1/120 (* 2/15 e))))))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (* (pow v 2) (+ (* -1 (* e (* (pow v 2) (+ 1/5040 (* -4/315 e))))) (* e (- 1/120 (* 2/15 e)))))))))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* v (- 1 e))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* v (- (+ 1 (* -1 (* (pow v 2) (+ 1/6 (* -2/3 e))))) e))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* v (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- 1/120 (* 2/15 e))) (+ 1/6 (* -2/3 e))))) e))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* v (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- (+ 1/120 (* -1 (* (pow v 2) (+ 1/5040 (* -4/315 e))))) (* 2/15 e))) (+ 1/6 (* -2/3 e))))) e))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* -1 (* e v))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* v (- (* 2/3 (* e (pow v 2))) e))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* v (- (* (pow v 2) (- (* -2/15 (* e (pow v 2))) (* -2/3 e))) e))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* v (- (* (pow v 2) (- (* (pow v 2) (- (* 4/315 (* e (pow v 2))) (* 2/15 e))) (* -2/3 e))) e))))
#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* e v)))
#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* v (+ e (* -2/3 (* e (pow v 2)))))))
#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -2/3 e) (* 2/15 (* e (pow v 2)))))))))
#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -2/3 e) (* (pow v 2) (+ (* -4/315 (* e (pow v 2))) (* 2/15 e)))))))))
#s(approx (* (cos v) e) #s(hole binary64 e))
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2))))))
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (+ 1 (* e (cos v))))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* e (- (sin v) (* e (* (cos v) (sin v)))))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (- (sin v) (* e (* (cos v) (sin v))))))
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 v) e))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
e
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
v
(*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e)
(*.f64 e (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))))
(fma.f64 (cos.f64 v) e (*.f64 e (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v)))
(+.f64 (*.f64 (cos.f64 v) e) (*.f64 e (/.f64 #s(literal 1 binary64) e)))
(+.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(pow.f64 (cos.f64 v) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal -1 binary64)))
(sin.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 v)))
(cos.f64 (neg.f64 v))
(cos.f64 v)
(exp.f64 (*.f64 (log.f64 (cos.f64 v)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)
(*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e)))
(/.f64 (neg.f64 (neg.f64 (*.f64 v e))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) e))))
(/.f64 (neg.f64 (*.f64 v e)) (neg.f64 (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) e))))
(/.f64 (neg.f64 v) (neg.f64 (+.f64 #s(literal 1 binary64) e)))
(/.f64 v (+.f64 #s(literal 1 binary64) e))
(pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) e))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 1 binary64) e)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e))) (neg.f64 (-.f64 #s(literal 1 binary64) e)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) e)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) e)
(+.f64 e #s(literal 1 binary64))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 #s(approx (* (cos v) e) e) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 v) e))) (neg.f64 (neg.f64 (+.f64 #s(approx (* (cos v) e) e) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (neg.f64 (+.f64 #s(approx (* (cos v) e) e) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* (cos v) e) e) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (cos v) e) e) #s(approx (* (cos v) e) e)))) (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (cos v) e) e))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (cos v) e) e) #s(approx (* (cos v) e) e)) #s(approx (* (cos v) e) e)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(approx (* (cos v) e) e) #s(approx (* (cos v) e) e)) (*.f64 #s(literal 1 binary64) #s(approx (* (cos v) e) e))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (cos v) e) e) #s(approx (* (cos v) e) e))) (-.f64 #s(literal 1 binary64) #s(approx (* (cos v) e) e)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (cos v) e) e) #s(approx (* (cos v) e) e)) #s(approx (* (cos v) e) e))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(approx (* (cos v) e) e) #s(approx (* (cos v) e) e)) (*.f64 #s(literal 1 binary64) #s(approx (* (cos v) e) e)))))
(+.f64 #s(approx (* (cos v) e) e) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(approx (* (cos v) e) e))
#s(approx (* (cos v) e) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 v) e))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 (*.f64 (cos.f64 v) e)) (sin.f64 v) (sin.f64 v)) e))
(*.f64 (fma.f64 (neg.f64 (*.f64 (cos.f64 v) e)) (sin.f64 v) (sin.f64 v)) e)
(*.f64 e (fma.f64 (neg.f64 (*.f64 (cos.f64 v) e)) (sin.f64 v) (sin.f64 v)))
(fma.f64 (sin.f64 v) e (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) e))
(fma.f64 (sin.f64 v) e (*.f64 e (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))))
(fma.f64 e (sin.f64 v) (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) e))
(fma.f64 e (sin.f64 v) (*.f64 e (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))))
(+.f64 (*.f64 (sin.f64 v) e) (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) e))
(+.f64 (*.f64 (sin.f64 v) e) (*.f64 e (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 v) (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)) (*.f64 (sin.f64 v) (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) #s(literal 3 binary64)) (pow.f64 (sin.f64 v) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v))))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64))) (-.f64 (sin.f64 v) (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (-.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v)))
(/.f64 (+.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)) (*.f64 (sin.f64 v) (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) #s(literal 3 binary64)) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v)))))
(fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))
(fma.f64 (neg.f64 (*.f64 (cos.f64 v) e)) (sin.f64 v) (sin.f64 v))
(fma.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal -1 binary64) (sin.f64 v))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (sin.f64 v))
(fma.f64 (*.f64 (cos.f64 v) e) (neg.f64 (sin.f64 v)) (sin.f64 v))
(-.f64 (sin.f64 v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))))
(+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v))
(+.f64 (sin.f64 v) (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))))
(*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (cos.f64 v) (sin.f64 v)))
(*.f64 (neg.f64 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(*.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(*.f64 (*.f64 (cos.f64 v) e) (neg.f64 (sin.f64 v)))
(neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) e)
(*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(*.f64 (cos.f64 v) (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(*.f64 e (*.f64 (cos.f64 v) (sin.f64 v)))
(*.f64 (cos.f64 v) e)
(*.f64 e (cos.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 (*.f64 (cos.f64 v) e)) (sin.f64 v) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e) (sin.f64 v)) (*.f64 (cos.f64 v) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (sin.f64 v))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (sin.f64 v)))) e) (*.f64 (cos.f64 v) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx e e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 (*.f64 (cos.f64 v) e)) (sin.f64 v) (sin.f64 v)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e) (sin.f64 v)) (*.f64 (cos.f64 v) (sin.f64 v))) e (sin.f64 v)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (sin.f64 v))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (sin.f64 v)))) e) (*.f64 (cos.f64 v) (sin.f64 v))) e (sin.f64 v)))
#s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64))
#s(approx (+ (* (cos v) e) 1) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 (*.f64 (cos.f64 v) e)) (sin.f64 v) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e) (sin.f64 v)) (*.f64 (cos.f64 v) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (sin.f64 v))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (sin.f64 v)))) e) (*.f64 (cos.f64 v) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (* e (/ v (+ 1 e))) (*.f64 v e))
#s(approx (* e (/ v (+ 1 e))) (*.f64 (+.f64 (neg.f64 (*.f64 v e)) v) e))
#s(approx (* e (/ v (+ 1 e))) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))
#s(approx (* e (/ v (+ 1 e))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 v e)) (neg.f64 v)) e) v) e v) e))
#s(approx (/ v (+ 1 e)) v)
#s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 v e)) v))
#s(approx (/ v (+ 1 e)) (fma.f64 (-.f64 (*.f64 v e) v) e v))
#s(approx (/ v (+ 1 e)) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 v e)) (neg.f64 v)) e) v) e v))
#s(approx (+ 1 e) #s(literal 1 binary64))
#s(approx (+ 1 e) (+.f64 #s(literal 1 binary64) e))
#s(approx (* (sin v) e) (*.f64 (sin.f64 v) e))
#s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64))
#s(approx (+ (* (cos v) e) 1) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (* (cos v) e) (*.f64 (cos.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 (*.f64 (cos.f64 v) e)) (sin.f64 v) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e) (sin.f64 v)) (*.f64 (cos.f64 v) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (sin.f64 v))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (sin.f64 v)))) e) (*.f64 (cos.f64 v) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (* (sin v) e) (*.f64 (sin.f64 v) e))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (*.f64 (sin.f64 v) e))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (*.f64 (cos.f64 v) e)) (sin.f64 v) (sin.f64 v)) e))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (sin.f64 v))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (fma.f64 (neg.f64 (*.f64 (cos.f64 v) e)) (sin.f64 v) (sin.f64 v)))
#s(approx (neg (* (* (cos v) e) (sin v))) (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))))
#s(approx (* (* (cos v) e) (sin v)) (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
#s(approx (* (cos v) e) (*.f64 (cos.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (tan.f64 v)) (/.f64 (sin.f64 v) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (*.f64 (*.f64 e e) e)))) (tan.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) (/.f64 (sin.f64 v) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) (tan.f64 v)) e))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (tan.f64 v)) (/.f64 (sin.f64 v) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) e))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (-.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (*.f64 (*.f64 e e) e)))) (tan.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) (/.f64 (sin.f64 v) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) e))
#s(approx (+ (* (cos v) e) 1) (*.f64 (cos.f64 v) e))
#s(approx (+ (* (cos v) e) 1) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (tan.f64 v)) (/.f64 (sin.f64 v) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (*.f64 (*.f64 e e) e)))) (tan.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) (/.f64 (sin.f64 v) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))))
#s(approx (* e (/ v (+ 1 e))) v)
#s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v))
#s(approx (* e (/ v (+ 1 e))) (-.f64 (+.f64 (/.f64 v (*.f64 e e)) v) (/.f64 v e)))
#s(approx (* e (/ v (+ 1 e))) (-.f64 (-.f64 (+.f64 (/.f64 (neg.f64 v) (*.f64 (*.f64 e e) e)) v) (/.f64 (neg.f64 v) (*.f64 e e))) (/.f64 v e)))
#s(approx (/ v (+ 1 e)) (/.f64 v e))
#s(approx (/ v (+ 1 e)) (/.f64 (+.f64 (/.f64 (neg.f64 v) e) v) e))
#s(approx (/ v (+ 1 e)) (/.f64 (-.f64 (+.f64 (/.f64 v (*.f64 e e)) v) (/.f64 v e)) e))
#s(approx (/ v (+ 1 e)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 (neg.f64 v) (*.f64 (*.f64 e e) e)) v) (/.f64 (neg.f64 v) (*.f64 e e))) (/.f64 v e)) e))
#s(approx (+ 1 e) e)
#s(approx (+ 1 e) (fma.f64 #s(literal 1 binary64) e #s(literal 1 binary64)))
#s(approx (+ (* (cos v) e) 1) (*.f64 (cos.f64 v) e))
#s(approx (+ (* (cos v) e) 1) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (tan.f64 v)) (/.f64 (sin.f64 v) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (*.f64 (*.f64 e e) e)))) (tan.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) (/.f64 (sin.f64 v) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (neg.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (*.f64 e e))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)))) e)) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)))) e)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (tan.f64 v)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (neg.f64 (/.f64 (+.f64 (neg.f64 (tan.f64 v)) (/.f64 (sin.f64 v) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (neg.f64 (tan.f64 v))) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (neg.f64 (tan.f64 v))) e)))
#s(approx (+ (* (cos v) e) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)))) e)) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)))) e)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (tan.f64 v)))
#s(approx (* e (/ v (+ 1 e))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 v) e) v) e)) v))
#s(approx (* e (/ v (+ 1 e))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 v) e) v) e)) v) e)) v))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)) (neg.f64 v)) e)))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)) v) e)) (neg.f64 v)) e)))
#s(approx (+ (* (cos v) e) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)))) e)) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)))) e)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (tan.f64 v)))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 v) e)) (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e))) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e))) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e))) (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/24 binary64) (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (+.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64)))) (*.f64 v v)) (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (+.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64)))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/24 binary64) (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/720 binary64) (/.f64 #s(literal 1/5040 binary64) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v))) (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64)))) (*.f64 v v)) (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (sin v) v)
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx v v)
#s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))
#s(approx (+ (* (cos v) e) 1) (+.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) #s(literal 1 binary64)))
#s(approx (+ (* (cos v) e) 1) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))
#s(approx (+ (* (cos v) e) 1) (+.f64 (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))
#s(approx (cos v) #s(literal 1 binary64))
#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e))) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e))) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e))) (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/24 binary64) (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (* e (/ v (+ 1 e))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ v (+ 1 e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))
#s(approx (* (sin v) e) (*.f64 v e))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))
#s(approx (+ (* (cos v) e) 1) (+.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) #s(literal 1 binary64)))
#s(approx (+ (* (cos v) e) 1) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))
#s(approx (+ (* (cos v) e) 1) (+.f64 (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))
#s(approx (* (cos v) e) e)
#s(approx (* (cos v) e) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e))
#s(approx (* (cos v) e) (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e))
#s(approx (* (cos v) e) (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e))) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e))) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e))) (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/24 binary64) (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (* (sin v) e) (*.f64 v e))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e (neg.f64 (*.f64 (*.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))) v))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 2/15 binary64) e)) (*.f64 v v)) e (neg.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (*.f64 (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 2/15 binary64) e)) e (neg.f64 (*.f64 (*.f64 (*.f64 v v) e) (fma.f64 #s(literal -4/315 binary64) e #s(literal 1/5040 binary64))))) (neg.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 (+.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v))) #s(literal 1 binary64)) e) v))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 2/15 binary64) e)) (*.f64 v v)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) #s(literal 1 binary64)) e) v))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -4/315 binary64) e #s(literal 1/5040 binary64)) (*.f64 v v))) (*.f64 #s(literal 2/15 binary64) e)))) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) #s(literal 1 binary64)) e) v))
#s(approx (neg (* (* (cos v) e) (sin v))) (neg.f64 (*.f64 v e)))
#s(approx (neg (* (* (cos v) e) (sin v))) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 v v) e)) e) v))
#s(approx (neg (* (* (cos v) e) (sin v))) (*.f64 (-.f64 (*.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal -2/15 binary64) e) (*.f64 v v) (*.f64 #s(literal 2/3 binary64) e))) e) v))
#s(approx (neg (* (* (cos v) e) (sin v))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 4/315 binary64) e) (*.f64 v v) (*.f64 #s(literal -2/15 binary64) e)) (*.f64 #s(literal 2/3 binary64) e)) (*.f64 v v)) e) v))
#s(approx (* (* (cos v) e) (sin v)) (*.f64 v e))
#s(approx (* (* (cos v) e) (sin v)) (*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) e) (*.f64 v v) e) v))
#s(approx (* (* (cos v) e) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -2/3 binary64) e)) (*.f64 v v) e) v))
#s(approx (* (* (cos v) e) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -4/315 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal 2/15 binary64) e)) (*.f64 #s(literal -2/3 binary64) e)) (*.f64 v v) e) v))
#s(approx (* (cos v) e) e)
#s(approx (* (cos v) e) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e))
#s(approx (* (cos v) e) (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e))
#s(approx (* (cos v) e) (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (sin v) (sin.f64 v))
#s(approx (cos v) (cos.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (*.f64 (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) e))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))))

eval42.0ms (1.2%)

Memory
-5.3MiB live, 100.6MiB allocated; 24ms collecting garbage
Compiler

Compiled 3 404 to 1 243 computations (63.5% saved)

prune16.0ms (0.5%)

Memory
5.2MiB live, 52.7MiB allocated; 1ms collecting garbage
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New26516281
Fresh213
Picked415
Done000
Total27118289
Accuracy
99.9%
Counts
289 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* (cos v) e) e) #s(literal 1 binary64)))
▶99.6%
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e))
98.8%
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (cos v) e) e) #s(approx (* (cos v) e) e))) (-.f64 #s(literal 1 binary64) #s(approx (* (cos v) e) e))))
50.9%
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
50.9%
(/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
▶99.8%
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
77.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (-.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v))) e))
50.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)) (*.f64 (sin.f64 v) (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))))))) e))
98.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 #s(approx (cos v) #s(literal 1 binary64)) e) (sin.f64 v))) (sin.f64 v)) e))
▶97.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
98.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)) e))
50.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
✓51.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
▶50.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 v e)) v))))
50.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) v)))
50.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e (neg.f64 (*.f64 (*.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))) v)))
2.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
▶4.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
Compiler

Compiled 660 to 592 computations (10.3% saved)

series23.0ms (0.7%)

Memory
6.3MiB live, 52.8MiB allocated; 3ms collecting garbage
Counts
22 → 136
Calls
Call 1
Inputs
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(sin.f64 v)
v
(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
e
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (* e (/ v (+ 1 e))) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 v e)) v))))
(*.f64 e #s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 v e)) v)))
#s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 v e)) v))
(+.f64 (neg.f64 (*.f64 v e)) v)
(neg.f64 (*.f64 v e))
(*.f64 v e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) e)
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e))
(*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e)
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) e)
Outputs
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* e (sin v))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 e))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* -1 (* e (cos v)))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))))
#s(approx e #s(hole binary64 e))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 1))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e v)))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 v))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e v) v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))
#s(approx (+ (neg (* v e)) v) #s(hole binary64 v))
#s(approx (+ (neg (* v e)) v) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (neg (* v e)) #s(hole binary64 (* -1 (* e v))))
#s(approx (* v e) #s(hole binary64 (* e v)))
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* (+ (cos v) (/ 1 e)) e) #s(hole binary64 1))
#s(approx (* (+ (cos v) (/ 1 e)) e) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (+ (cos v) (/ 1 e)) #s(hole binary64 (/ 1 e)))
#s(approx (+ (cos v) (/ 1 e)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (/ 1 e) #s(hole binary64 (/ 1 e)))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (cos v))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (cos v))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 v))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (+ v (* -1 (/ v e))) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e)))
#s(approx (+ (neg (* v e)) v) #s(hole binary64 (* -1 (* e v))))
#s(approx (+ (neg (* v e)) v) #s(hole binary64 (* e (- (/ v e) v))))
#s(approx (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* (+ (cos v) (/ 1 e)) e) #s(hole binary64 (* e (cos v))))
#s(approx (* (+ (cos v) (/ 1 e)) e) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (+ (cos v) (/ 1 e)) #s(hole binary64 (cos v)))
#s(approx (+ (cos v) (/ 1 e)) #s(hole binary64 (+ (cos v) (/ 1 e))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (/ v e)) e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e))))
#s(approx (+ (neg (* v e)) v) #s(hole binary64 (* -1 (* e (- (* -1 (/ v e)) (* -1 v))))))
#s(approx (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))))
#s(approx (* (+ (cos v) (/ 1 e)) e) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx v #s(hole binary64 v))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ e (+ 1 e))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 e)))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))))
#s(approx (cos v) #s(hole binary64 1))
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v (+ 1 e))))
#s(approx (+ (neg (* v e)) v) #s(hole binary64 (* v (- 1 e))))
#s(approx (* (sin v) e) #s(hole binary64 (* e v)))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) #s(hole binary64 (/ v (+ 1 (/ 1 e)))))
#s(approx (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (* (+ (cos v) (/ 1 e)) e) #s(hole binary64 (* e (+ 1 (/ 1 e)))))
#s(approx (* (+ (cos v) (/ 1 e)) e) #s(hole binary64 (+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))))
#s(approx (* (+ (cos v) (/ 1 e)) e) #s(hole binary64 (+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))
#s(approx (* (+ (cos v) (/ 1 e)) e) #s(hole binary64 (+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))
#s(approx (+ (cos v) (/ 1 e)) #s(hole binary64 (+ 1 (/ 1 e))))
#s(approx (+ (cos v) (/ 1 e)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))))
#s(approx (+ (cos v) (/ 1 e)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))))
#s(approx (+ (cos v) (/ 1 e)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ e (+ 1 (* e (cos v))))))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e)))))
#s(approx (+ (neg (* v e)) v) #s(hole binary64 (* v (+ 1 (* -1 e)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
v
@-inf
((* (sin v) (/ e (+ (* (cos v) e) 1))) (sin v) v (/ e (+ (* (cos v) e) 1)) e (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (neg (* v e)) v) (neg (* v e)) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) (* (+ (cos v) (/ 1 e)) e) (+ (cos v) (/ 1 e)) (/ 1 e))
4.0ms
e
@-inf
((* (sin v) (/ e (+ (* (cos v) e) 1))) (sin v) v (/ e (+ (* (cos v) e) 1)) e (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (neg (* v e)) v) (neg (* v e)) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) (* (+ (cos v) (/ 1 e)) e) (+ (cos v) (/ 1 e)) (/ 1 e))
4.0ms
v
@0
((* (sin v) (/ e (+ (* (cos v) e) 1))) (sin v) v (/ e (+ (* (cos v) e) 1)) e (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (neg (* v e)) v) (neg (* v e)) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) (* (+ (cos v) (/ 1 e)) e) (+ (cos v) (/ 1 e)) (/ 1 e))
3.0ms
v
@inf
((* (sin v) (/ e (+ (* (cos v) e) 1))) (sin v) v (/ e (+ (* (cos v) e) 1)) e (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (neg (* v e)) v) (neg (* v e)) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) (* (+ (cos v) (/ 1 e)) e) (+ (cos v) (/ 1 e)) (/ 1 e))
2.0ms
e
@inf
((* (sin v) (/ e (+ (* (cos v) e) 1))) (sin v) v (/ e (+ (* (cos v) e) 1)) e (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (neg (* v e)) v) (neg (* v e)) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* (sin v) e) (* (+ (cos v) (/ 1 e)) e)) (* (+ (cos v) (/ 1 e)) e) (+ (cos v) (/ 1 e)) (/ 1 e))

rewrite220.0ms (6.3%)

Memory
14.9MiB live, 376.3MiB allocated; 71ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05544163
05773893
131893754
088863643
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
158 → 233
Calls
Call 1
Inputs
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(sin.f64 v)
v
(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
e
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (* e (/ v (+ 1 e))) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 v e)) v))))
(*.f64 e #s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 v e)) v)))
#s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 v e)) v))
(+.f64 (neg.f64 (*.f64 v e)) v)
(neg.f64 (*.f64 v e))
(*.f64 v e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) e)
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e))
(*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e)
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) e)
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* e (sin v))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 e))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* -1 (* e (cos v)))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))))
#s(approx e #s(hole binary64 e))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 1))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e v)))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 v))
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#s(approx (sin v) #s(hole binary64 v))
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Outputs
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)))) e)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (tan.f64 v)))
#s(approx (* e (/ v (+ 1 e))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 v) e) v) e)) v))
#s(approx (* e (/ v (+ 1 e))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 v) e) v) e)) v) e)) v))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)) (neg.f64 v)) e)))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)) v) e)) (neg.f64 v)) e)))
#s(approx (+ (neg (* v e)) v) (*.f64 (neg.f64 e) (-.f64 (/.f64 (neg.f64 v) e) (neg.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) (neg.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) e)) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e)) (neg.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) e)) (tan.f64 v)))
#s(approx (* (+ (cos v) (/ 1 e)) e) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) e))) (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/24 binary64) (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (sin v) v)
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx v v)
#s(approx (/ e (+ (* (cos v) e) 1)) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ e (+ (* (cos v) e) 1)) (fma.f64 (*.f64 (*.f64 e e) (/.f64 (*.f64 v v) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ e (+ (* (cos v) e) 1)) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ e (+ (* (cos v) e) 1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/720 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal 1/48 binary64)))) (*.f64 v v))) (fma.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (* (+ (cos v) (/ 1 e)) e) (+.f64 #s(literal 1 binary64) e))
#s(approx (* (+ (cos v) (/ 1 e)) e) (+.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) #s(literal 1 binary64)))
#s(approx (* (+ (cos v) (/ 1 e)) e) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))
#s(approx (* (+ (cos v) (/ 1 e)) e) (+.f64 (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))
#s(approx (cos v) #s(literal 1 binary64))
#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) e))) (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/24 binary64) (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (* e (/ v (+ 1 e))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ v (+ 1 e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (neg (* v e)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
#s(approx (* (sin v) e) (*.f64 e v))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) (*.f64 v v) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))) (*.f64 v v) (/.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))) (*.f64 v v) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) v))
#s(approx (* (+ (cos v) (/ 1 e)) e) (fma.f64 #s(literal 1 binary64) e #s(literal 1 binary64)))
#s(approx (* (+ (cos v) (/ 1 e)) e) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) (fma.f64 #s(literal 1 binary64) e #s(literal 1 binary64))))
#s(approx (* (+ (cos v) (/ 1 e)) e) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (fma.f64 #s(literal 1 binary64) e #s(literal 1 binary64))))
#s(approx (* (+ (cos v) (/ 1 e)) e) (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (fma.f64 #s(literal 1 binary64) e #s(literal 1 binary64))))
#s(approx (+ (cos v) (/ 1 e)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
#s(approx (+ (cos v) (/ 1 e)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)))
#s(approx (+ (cos v) (/ 1 e)) (+.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))
#s(approx (+ (cos v) (/ 1 e)) (+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (sin v) (sin.f64 v))
#s(approx (/ e (+ (* (cos v) e) 1)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (cos v) (cos.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
#s(approx (+ (neg (* v e)) v) (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))

eval38.0ms (1.1%)

Memory
-3.3MiB live, 47.4MiB allocated; 28ms collecting garbage
Compiler

Compiled 2 347 to 945 computations (59.7% saved)

prune17.0ms (0.5%)

Memory
-15.4MiB live, 33.5MiB allocated; 2ms collecting garbage
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New18811199
Fresh7512
Picked235
Done011
Total19720217
Accuracy
99.9%
Counts
217 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* (cos v) e) e) #s(literal 1 binary64)))
▶70.0%
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) e))
98.6%
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (+.f64 #s(approx (cos v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) e))
97.7%
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 #s(approx (+ (cos v) (/ 1 e)) (/.f64 #s(literal 1 binary64) e)) e))
✓99.8%
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
▶99.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
▶51.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
77.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (-.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v))) e))
50.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)) (*.f64 (sin.f64 v) (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))))))) e))
✓97.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
50.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 v) e v)) e))
50.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
▶49.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
50.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
▶50.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
✓51.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
50.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
30.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (neg.f64 e) v)))))
50.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e (neg.f64 (*.f64 (*.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))) v)))
✓4.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
Compiler

Compiled 692 to 638 computations (7.8% saved)

series45.0ms (1.3%)

Memory
33.1MiB live, 79.1MiB allocated; 3ms collecting garbage
Counts
41 → 186
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(sin.f64 v)
v
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos.f64 v)
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
(*.f64 #s(approx (sin v) v) e)
#s(approx (sin v) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 v v)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) e))
(*.f64 (sin.f64 v) e)
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) e)
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))
(cos.f64 (*.f64 #s(literal 2 binary64) v))
(*.f64 #s(literal 2 binary64) v)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 e e))
(*.f64 e e)
(-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (+ (cos v) (/ 1 e)) #s(hole binary64 (/ 1 e)))
#s(approx (+ (cos v) (/ 1 e)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (/ 1 e) #s(hole binary64 (/ 1 e)))
#s(approx e #s(hole binary64 e))
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin v))))
#s(approx (/ v (+ (/ 1 e) 1)) #s(hole binary64 (* e v)))
#s(approx (/ v (+ (/ 1 e) 1)) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (/ v (+ (/ 1 e) 1)) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (/ v (+ (/ 1 e) 1)) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (+ (/ 1 e) 1) #s(hole binary64 (/ 1 e)))
#s(approx (+ (/ 1 e) 1) #s(hole binary64 (/ (+ 1 e) e)))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) #s(hole binary64 (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) #s(hole binary64 (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))))
#s(approx (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) #s(hole binary64 1))
#s(approx (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) #s(hole binary64 (+ 1 (* e (- (* e (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (* -1 (pow (cos v) 2)))) (* -1 (cos v)))))))
#s(approx (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) #s(hole binary64 (+ 1 (* e (- (* e (- (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (* e (* (cos v) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (* -1 (pow (cos v) 2)))))) (* -1 (pow (cos v) 2)))) (* -1 (cos v)))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) #s(hole binary64 (/ 1 e)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) #s(hole binary64 (/ (+ 1 (* e (- (* e (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (* -1 (pow (cos v) 2)))) (* -1 (cos v))))) e)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) #s(hole binary64 (/ (+ 1 (* e (- (* e (- (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (* e (* (cos v) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (* -1 (pow (cos v) 2)))))) (* -1 (pow (cos v) 2)))) (* -1 (cos v))))) e)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) #s(hole binary64 (/ -1 (pow e 2))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) #s(hole binary64 (/ (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1) (pow e 2))))
#s(approx (/ 1 (* e e)) #s(hole binary64 (/ 1 (pow e 2))))
#s(approx (* e e) #s(hole binary64 (pow e 2)))
#s(approx (- (cos v) (/ 1 e)) #s(hole binary64 (/ -1 e)))
#s(approx (- (cos v) (/ 1 e)) #s(hole binary64 (/ (- (* e (cos v)) 1) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (+ (cos v) (/ 1 e)) #s(hole binary64 (cos v)))
#s(approx (+ (cos v) (/ 1 e)) #s(hole binary64 (+ (cos v) (/ 1 e))))
#s(approx (/ v (+ (/ 1 e) 1)) #s(hole binary64 v))
#s(approx (/ v (+ (/ 1 e) 1)) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (/ v (+ (/ 1 e) 1)) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (/ v (+ (/ 1 e) 1)) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (+ (/ 1 e) 1) #s(hole binary64 1))
#s(approx (+ (/ 1 e) 1) #s(hole binary64 (+ 1 (/ 1 e))))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) #s(hole binary64 (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))))))
#s(approx (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) #s(hole binary64 (/ (* e (+ 1/2 (* 1/2 (cos (* 2 v))))) (cos v))))
#s(approx (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) #s(hole binary64 (* e (+ (* 1/2 (/ (cos (* 2 v)) (cos v))) (+ (* 1/2 (/ (cos (* 2 v)) (* e (pow (cos v) 2)))) (+ (* 1/2 (/ 1 (cos v))) (* 1/2 (/ 1 (* e (pow (cos v) 2))))))))))
#s(approx (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) #s(hole binary64 (* e (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 v)))) (pow (cos v) 3))) (/ 1 (cos v))) (pow e 2))) (+ (* 1/2 (/ (cos (* 2 v)) (cos v))) (* 1/2 (/ 1 (cos v))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 v)))) (* e (pow (cos v) 2))))))))
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#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) #s(hole binary64 (- (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (- (* 1/3 (/ 1 (- 1 (/ 1 e)))) (+ (* 1/24 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (/ 1 (- 1 (/ 1 e)))) (- 1 (/ 1 e)))))) (- 1 (/ 1 e)))) (+ (* -1/24 (/ (+ (* -1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (/ 1 (- 1 (/ 1 e)))) (- 1 (/ 1 e)))) (+ (* -1/720 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (* 2/45 (/ 1 (- 1 (/ 1 e))))))))) (* 1/3 (/ 1 (- 1 (/ 1 e))))) (+ (* 1/24 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (/ 1 (- 1 (/ 1 e)))) (- 1 (/ 1 e))))))) (+ (* -1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (/ 1 (- 1 (/ 1 e)))))) (/ 1 (- 1 (/ 1 e)))) (/ 1 (* (pow e 2) (- 1 (/ 1 e)))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) #s(hole binary64 (- 1 (/ 1 (pow e 2)))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) #s(hole binary64 (- (+ 1 (* -1 (pow v 2))) (/ 1 (pow e 2)))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) #s(hole binary64 (- (+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1))) (/ 1 (pow e 2)))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) #s(hole binary64 (- (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1))) (/ 1 (pow e 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 v)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 v)))) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 v))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 v))) #s(hole binary64 (+ 1/2 (* -1 (pow v 2)))))
#s(approx (* 1/2 (cos (* 2 v))) #s(hole binary64 (+ 1/2 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 v))) #s(hole binary64 (+ 1/2 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))))
#s(approx (cos (* 2 v)) #s(hole binary64 1))
#s(approx (cos (* 2 v)) #s(hole binary64 (+ 1 (* -2 (pow v 2)))))
#s(approx (cos (* 2 v)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 2/3 (pow v 2)) 2)))))
#s(approx (cos (* 2 v)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/3 (* -4/45 (pow v 2)))) 2)))))
#s(approx (* 2 v) #s(hole binary64 (* 2 v)))
#s(approx (- (cos v) (/ 1 e)) #s(hole binary64 (- 1 (/ 1 e))))
#s(approx (- (cos v) (/ 1 e)) #s(hole binary64 (- (+ 1 (* -1/2 (pow v 2))) (/ 1 e))))
#s(approx (- (cos v) (/ 1 e)) #s(hole binary64 (- (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) (/ 1 e))))
#s(approx (- (cos v) (/ 1 e)) #s(hole binary64 (- (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) (/ 1 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e)))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) #s(hole binary64 (* -1/5040 (pow v 7))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) #s(hole binary64 (* (pow v 7) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) #s(hole binary64 (* (pow v 7) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) #s(hole binary64 (* (pow v 7) (- (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 1/5040 (/ 1/6 (pow v 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) #s(hole binary64 (* -1/5040 (pow v 6))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) #s(hole binary64 (* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) #s(hole binary64 (* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) #s(hole binary64 (* (pow v 6) (- (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 1/5040 (/ 1/6 (pow v 4)))))))
#s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) #s(hole binary64 (* -1/5040 (pow v 4))))
#s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) #s(hole binary64 (* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))))
#s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) #s(hole binary64 (* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))))
#s(approx (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) #s(hole binary64 (* -1/5040 (pow v 4))))
#s(approx (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) #s(hole binary64 (* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))))
#s(approx (+ (* -1/5040 (* v v)) 1/120) #s(hole binary64 (* -1/5040 (pow v 2))))
#s(approx (+ (* -1/5040 (* v v)) 1/120) #s(hole binary64 (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) #s(hole binary64 (/ (* (sin v) (- (cos v) (/ 1 e))) (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (pow e 2))))))
#s(approx (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) #s(hole binary64 (/ (* e (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (pow e 2)))) (- (cos v) (/ 1 e)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) #s(hole binary64 (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (pow e 2))) (- (cos v) (/ 1 e)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 v)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 v))))))
#s(approx (* 1/2 (cos (* 2 v))) #s(hole binary64 (* 1/2 (cos (* 2 v)))))
#s(approx (cos (* 2 v)) #s(hole binary64 (cos (* 2 v))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) #s(hole binary64 (* -1 (* (pow v 7) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) #s(hole binary64 (* -1 (* (pow v 7) (- (+ 1/5040 (/ 1/6 (pow v 4))) (* 1/120 (/ 1 (pow v 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) #s(hole binary64 (* -1 (* (pow v 7) (- (+ 1/5040 (/ 1/6 (pow v 4))) (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6))))))))
Calls

6 calls:

TimeVariablePointExpression
15.0ms
v
@0
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (cos v) (/ 1 e))) (sin v) v (+ (cos v) (/ 1 e)) (cos v) (/ 1 e) 1 e (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (+ (/ 1 e) 1)) (+ (/ 1 e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) (+ (* -1/5040 (* v v)) 1/120) -1/5040 (* v v) 1/120 1/6 (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (+ 1/2 (* 1/2 (cos (* 2 v)))) 1/2 (* 1/2 (cos (* 2 v))) (cos (* 2 v)) (* 2 v) 2 (/ 1 (* e e)) (* e e) (- (cos v) (/ 1 e)))
7.0ms
v
@inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (cos v) (/ 1 e))) (sin v) v (+ (cos v) (/ 1 e)) (cos v) (/ 1 e) 1 e (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (+ (/ 1 e) 1)) (+ (/ 1 e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) (+ (* -1/5040 (* v v)) 1/120) -1/5040 (* v v) 1/120 1/6 (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (+ 1/2 (* 1/2 (cos (* 2 v)))) 1/2 (* 1/2 (cos (* 2 v))) (cos (* 2 v)) (* 2 v) 2 (/ 1 (* e e)) (* e e) (- (cos v) (/ 1 e)))
7.0ms
v
@-inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (cos v) (/ 1 e))) (sin v) v (+ (cos v) (/ 1 e)) (cos v) (/ 1 e) 1 e (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (+ (/ 1 e) 1)) (+ (/ 1 e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) (+ (* -1/5040 (* v v)) 1/120) -1/5040 (* v v) 1/120 1/6 (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (+ 1/2 (* 1/2 (cos (* 2 v)))) 1/2 (* 1/2 (cos (* 2 v))) (cos (* 2 v)) (* 2 v) 2 (/ 1 (* e e)) (* e e) (- (cos v) (/ 1 e)))
4.0ms
e
@-inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (cos v) (/ 1 e))) (sin v) v (+ (cos v) (/ 1 e)) (cos v) (/ 1 e) 1 e (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (+ (/ 1 e) 1)) (+ (/ 1 e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) (+ (* -1/5040 (* v v)) 1/120) -1/5040 (* v v) 1/120 1/6 (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (+ 1/2 (* 1/2 (cos (* 2 v)))) 1/2 (* 1/2 (cos (* 2 v))) (cos (* 2 v)) (* 2 v) 2 (/ 1 (* e e)) (* e e) (- (cos v) (/ 1 e)))
4.0ms
e
@inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (cos v) (/ 1 e))) (sin v) v (+ (cos v) (/ 1 e)) (cos v) (/ 1 e) 1 e (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (+ (/ 1 e) 1)) (+ (/ 1 e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) (+ (* -1/5040 (* v v)) 1/120) -1/5040 (* v v) 1/120 1/6 (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (+ 1/2 (* 1/2 (cos (* 2 v)))) 1/2 (* 1/2 (cos (* 2 v))) (cos (* 2 v)) (* 2 v) 2 (/ 1 (* e e)) (* e e) (- (cos v) (/ 1 e)))

rewrite321.0ms (9.1%)

Memory
-26.6MiB live, 268.9MiB allocated; 175ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08998250
09527000
155776522
081736361
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
227 → 378
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(sin.f64 v)
v
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos.f64 v)
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
(*.f64 #s(approx (sin v) v) e)
#s(approx (sin v) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 v v)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) e))
(*.f64 (sin.f64 v) e)
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) e)
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))
(cos.f64 (*.f64 #s(literal 2 binary64) v))
(*.f64 #s(literal 2 binary64) v)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 e e))
(*.f64 e e)
(-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (+ (cos v) (/ 1 e)) #s(hole binary64 (/ 1 e)))
#s(approx (+ (cos v) (/ 1 e)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (/ 1 e) #s(hole binary64 (/ 1 e)))
#s(approx e #s(hole binary64 e))
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin v))))
#s(approx (/ v (+ (/ 1 e) 1)) #s(hole binary64 (* e v)))
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#s(approx (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) #s(hole binary64 (* 1/120 (pow v 2))))
#s(approx (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) #s(hole binary64 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))
#s(approx (+ (* -1/5040 (* v v)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* v v)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
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#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) #s(hole binary64 (- (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/3 (/ 1 (- 1 (/ 1 e)))) (+ (* 1/24 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (/ 1 (- 1 (/ 1 e)))) (- 1 (/ 1 e))))))) (+ (* -1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (/ 1 (- 1 (/ 1 e)))))) (/ 1 (- 1 (/ 1 e)))) (/ 1 (* (pow e 2) (- 1 (/ 1 e)))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) #s(hole binary64 (- (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (- (* 1/3 (/ 1 (- 1 (/ 1 e)))) (+ (* 1/24 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (/ 1 (- 1 (/ 1 e)))) (- 1 (/ 1 e)))))) (- 1 (/ 1 e)))) (+ (* -1/24 (/ (+ (* -1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (/ 1 (- 1 (/ 1 e)))) (- 1 (/ 1 e)))) (+ (* -1/720 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (* 2/45 (/ 1 (- 1 (/ 1 e))))))))) (* 1/3 (/ 1 (- 1 (/ 1 e))))) (+ (* 1/24 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (/ 1 (- 1 (/ 1 e)))) (- 1 (/ 1 e))))))) (+ (* -1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- 1 (/ 1 e)) 2))) (/ 1 (- 1 (/ 1 e)))))) (/ 1 (- 1 (/ 1 e)))) (/ 1 (* (pow e 2) (- 1 (/ 1 e)))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) #s(hole binary64 (- 1 (/ 1 (pow e 2)))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) #s(hole binary64 (- (+ 1 (* -1 (pow v 2))) (/ 1 (pow e 2)))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) #s(hole binary64 (- (+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1))) (/ 1 (pow e 2)))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) #s(hole binary64 (- (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1))) (/ 1 (pow e 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 v)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 v)))) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 v))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 v))) #s(hole binary64 (+ 1/2 (* -1 (pow v 2)))))
#s(approx (* 1/2 (cos (* 2 v))) #s(hole binary64 (+ 1/2 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 v))) #s(hole binary64 (+ 1/2 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))))
#s(approx (cos (* 2 v)) #s(hole binary64 1))
#s(approx (cos (* 2 v)) #s(hole binary64 (+ 1 (* -2 (pow v 2)))))
#s(approx (cos (* 2 v)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 2/3 (pow v 2)) 2)))))
#s(approx (cos (* 2 v)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/3 (* -4/45 (pow v 2)))) 2)))))
#s(approx (* 2 v) #s(hole binary64 (* 2 v)))
#s(approx (- (cos v) (/ 1 e)) #s(hole binary64 (- 1 (/ 1 e))))
#s(approx (- (cos v) (/ 1 e)) #s(hole binary64 (- (+ 1 (* -1/2 (pow v 2))) (/ 1 e))))
#s(approx (- (cos v) (/ 1 e)) #s(hole binary64 (- (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) (/ 1 e))))
#s(approx (- (cos v) (/ 1 e)) #s(hole binary64 (- (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) (/ 1 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e)))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) #s(hole binary64 (* -1/5040 (pow v 7))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) #s(hole binary64 (* (pow v 7) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) #s(hole binary64 (* (pow v 7) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) #s(hole binary64 (* (pow v 7) (- (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 1/5040 (/ 1/6 (pow v 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) #s(hole binary64 (* -1/5040 (pow v 6))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) #s(hole binary64 (* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))))
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#s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) #s(hole binary64 (* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))))
#s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) #s(hole binary64 (* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))))
#s(approx (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) #s(hole binary64 (* -1/5040 (pow v 4))))
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#s(approx (+ (* -1/5040 (* v v)) 1/120) #s(hole binary64 (* -1/5040 (pow v 2))))
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#s(approx (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) #s(hole binary64 (/ (* e (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (pow e 2)))) (- (cos v) (/ 1 e)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) #s(hole binary64 (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (pow e 2))) (- (cos v) (/ 1 e)))))
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Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
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(sin.f64 v)
v
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(sin.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(cos.f64 (neg.f64 (neg.f64 v)))
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(cos.f64 v)
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(pow.f64 e #s(literal -1 binary64))
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(exp.f64 (*.f64 (log.f64 e) #s(literal -1 binary64)))
#s(literal 1 binary64)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
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#s(approx (sin v) v)
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(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) v) v) #s(literal 1/6 binary64)) v) v #s(literal 1 binary64)) v)) e))
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#s(approx (sin v) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) v) v) #s(literal 1/6 binary64)) v) v #s(literal 1 binary64)) v))
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#s(approx (- (cos v) (/ 1 e)) (cos.f64 v))
#s(approx (- (cos v) (/ 1 e)) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)))) e)) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)))) e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) e)) (tan.f64 v)))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) e)) (tan.f64 v)))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e)) (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) e)) (tan.f64 v)))
#s(approx (/ v (+ (/ 1 e) 1)) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 v) e) (neg.f64 v)) e)) v))
#s(approx (/ v (+ (/ 1 e) 1)) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 v) e) (neg.f64 v)) e)) (neg.f64 v)) e)) v))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) (fma.f64 (cos.f64 v) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) e))))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) (fma.f64 (cos.f64 v) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (neg.f64 (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) e))))
#s(approx (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 v v)) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) e)) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 v)))) e)))
#s(approx (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 (+.f64 v v)) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 v v)) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 v))) (/.f64 #s(literal 1 binary64) (cos.f64 v))) e))) e)) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 v)))) e)))
#s(approx (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 (+.f64 v v)) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 v v)) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) e))) (/.f64 #s(literal 1 binary64) (cos.f64 v))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) e))) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 v v)) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 v)))) e))) e)) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 v)))) e)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (fma.f64 (/.f64 (cos.f64 (+.f64 v v)) (cos.f64 v)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (+.f64 v v)) (*.f64 (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) e)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) e)) (/.f64 #s(literal 1/2 binary64) (cos.f64 v))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 v v)) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 v) e)))) (fma.f64 (/.f64 (cos.f64 (+.f64 v v)) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) e)) (/.f64 (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 v))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 v v)) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 v))) (/.f64 #s(literal 1 binary64) (cos.f64 v))) (*.f64 (cos.f64 v) e))) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 v v)) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (cos.f64 v))) e)) (fma.f64 (/.f64 (cos.f64 (+.f64 v v)) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) e)) (/.f64 (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/120 binary64)) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (-.f64 (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 e (/.f64 (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/120 binary64)) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) (fma.f64 #s(literal 1/24 binary64) (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/120 binary64))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) v))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))) (*.f64 v v) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) v))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))) (*.f64 v v) (/.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))) (*.f64 v v) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) v))
#s(approx (sin v) v)
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) v) v) #s(literal 1/6 binary64)) v) v #s(literal 1 binary64)) v))
#s(approx v v)
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (+.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))
#s(approx (cos v) #s(literal 1 binary64))
#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (* (sin v) e) (*.f64 v e))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))
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#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 v v)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal 1/24 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (fma.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal -1/720 binary64) (/.f64 #s(literal 2/45 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))) (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal 1/24 binary64))))) (*.f64 v v)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 e e)))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (-.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 v)))) #s(literal 1 binary64))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 v)))) (+.f64 (neg.f64 (*.f64 v v)) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 v)))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 v)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (* 1/2 (cos (* 2 v))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 v))) (+.f64 (neg.f64 (*.f64 v v)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 v))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 v))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 v)) #s(literal 1 binary64))
#s(approx (cos (* 2 v)) (fma.f64 #s(literal -2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos (* 2 v)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos (* 2 v)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v)) #s(literal 2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (* 2 v) (+.f64 v v))
#s(approx (- (cos v) (/ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
#s(approx (- (cos v) (/ 1 e)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))
#s(approx (- (cos v) (/ 1 e)) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))
#s(approx (- (cos v) (/ 1 e)) (-.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (/ (sin v) (+ (cos v) (/ 1 e))) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
#s(approx (sin v) (sin.f64 v))
#s(approx (cos v) (cos.f64 v))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (*.f64 (pow.f64 v #s(literal 7 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/5040 binary64)) (pow.f64 v #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (pow.f64 v #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 v #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (pow.f64 v #s(literal 7 binary64))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal -1/5040 binary64)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (*.f64 v v))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (-.f64 (-.f64 (+.f64 (pow.f64 v #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (*.f64 v v))))))
#s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/5040 binary64)))
#s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/5040 binary64))))
#s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v v))))
#s(approx (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/5040 binary64))))
#s(approx (+ (* -1/5040 (* v v)) 1/120) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))
#s(approx (+ (* -1/5040 (* v v)) 1/120) (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/5040 binary64)) (*.f64 v v)))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) (*.f64 (sin.f64 v) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (-.f64 (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
#s(approx (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 v)))) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 v))) (*.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 v)) (cos.f64 (+.f64 v v)))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (neg.f64 (*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))) (pow.f64 v #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (neg.f64 (*.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))) (pow.f64 v #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))) (pow.f64 v #s(literal -6 binary64))) (pow.f64 v #s(literal 7 binary64)))))

eval70.0ms (2%)

Memory
15.5MiB live, 135.3MiB allocated; 36ms collecting garbage
Compiler

Compiled 6 457 to 2 280 computations (64.7% saved)

prune63.0ms (1.8%)

Memory
-27.4MiB live, 78.2MiB allocated; 35ms collecting garbage
Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New35612368
Fresh4711
Picked235
Done044
Total36226388
Accuracy
99.9%
Counts
388 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* (cos v) e) e) #s(literal 1 binary64)))
68.8%
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) e))
98.9%
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 #s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (fma.f64 (/.f64 (cos.f64 (+.f64 v v)) (cos.f64 v)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (+.f64 v v)) (*.f64 (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) e)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) e)) (/.f64 #s(literal 1/2 binary64) (cos.f64 v)))))) e))
✓99.8%
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
44.0%
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))))
✓99.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
98.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 #s(approx (cos v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))
97.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (/.f64 #s(literal 1 binary64) e))))
45.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
✓51.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
49.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (exp.f64 (*.f64 (log.f64 e) #s(literal -1 binary64))) #s(literal 1 binary64))))
50.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (+ (/ 1 e) 1) (/.f64 #s(literal 1 binary64) e))))
77.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (-.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v))) e))
✓97.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
50.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 v) e v)) e))
50.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
49.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/5040 binary64))) (*.f64 v v) #s(literal 1 binary64)) v)) e))
50.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
28.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal -1/5040 binary64))) v)) e))
28.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (*.f64 (pow.f64 v #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) e))
✓50.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
✓51.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
50.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
30.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (neg.f64 e) v)))))
50.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e (neg.f64 (*.f64 (*.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))) v)))
✓4.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
Compiler

Compiled 1 120 to 821 computations (26.7% saved)

regimes37.0ms (1.1%)

Memory
43.3MiB live, 43.3MiB allocated; 0ms collecting garbage
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (+ (/ 1 e) 1) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (neg.f64 e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 v) e v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 v e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
(/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (*.f64 (pow.f64 v #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal -1/5040 binary64))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (exp.f64 (*.f64 (log.f64 e) #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e (neg.f64 (*.f64 (*.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/5040 binary64))) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* (cos v) e) e) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 #s(approx (cos v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 #s(approx (+ (cos v) (/ 1 e)) (/.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (+.f64 #s(approx (cos v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) e))
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (cos v) e) e) #s(approx (* (cos v) e) e))) (-.f64 #s(literal 1 binary64) #s(approx (* (cos v) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 #s(approx (cos v) #s(literal 1 binary64)) e) (sin.f64 v))) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e))
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e))
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)) e))
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (-.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v))) e))
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 #s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (fma.f64 (/.f64 (cos.f64 (+.f64 v v)) (cos.f64 v)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (+.f64 v v)) (*.f64 (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) e)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) e)) (/.f64 #s(literal 1/2 binary64) (cos.f64 v)))))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)) (*.f64 (sin.f64 v) (neg.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))))))) e))
Outputs
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
Calls

3 calls:

12.0ms
v
12.0ms
e
11.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.8%1e
99.8%1v
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes37.0ms (1.1%)

Memory
-14.8MiB live, 32.8MiB allocated; 2ms collecting garbage
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (+ (/ 1 e) 1) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (neg.f64 e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 v) e v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 v e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
(/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (*.f64 (pow.f64 v #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal -1/5040 binary64))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (exp.f64 (*.f64 (log.f64 e) #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e (neg.f64 (*.f64 (*.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/5040 binary64))) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* (cos v) e) e) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 #s(approx (cos v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 #s(approx (+ (cos v) (/ 1 e)) (/.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (+.f64 #s(approx (cos v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) e))
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (cos v) e) e) #s(approx (* (cos v) e) e))) (-.f64 #s(literal 1 binary64) #s(approx (* (cos v) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
Calls

3 calls:

19.0ms
v
9.0ms
e
8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.6%1e
99.6%1v
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes57.0ms (1.6%)

Memory
-8.1MiB live, 38.7MiB allocated; 2ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (+ (/ 1 e) 1) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (neg.f64 e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 v) e v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 v e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
(/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (*.f64 (pow.f64 v #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal -1/5040 binary64))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (exp.f64 (*.f64 (log.f64 e) #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e (neg.f64 (*.f64 (*.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/5040 binary64))) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* (cos v) e) e) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 #s(approx (cos v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 #s(approx (+ (cos v) (/ 1 e)) (/.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (+.f64 #s(approx (cos v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) e))
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (cos v) e) e) #s(approx (* (cos v) e) e))) (-.f64 #s(literal 1 binary64) #s(approx (* (cos v) e) e))))
Outputs
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* (cos v) e) e) #s(literal 1 binary64)))
Calls

3 calls:

38.0ms
e
9.0ms
v
8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.8%1e
98.8%1v
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes34.0ms (1%)

Memory
-5.5MiB live, 39.1MiB allocated; 16ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (+ (/ 1 e) 1) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (neg.f64 e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 v) e v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 v e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
(/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (*.f64 (pow.f64 v #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal -1/5040 binary64))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (exp.f64 (*.f64 (log.f64 e) #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e (neg.f64 (*.f64 (*.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/5040 binary64))) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) (/.f64 #s(literal 1 binary64) e))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Calls

3 calls:

19.0ms
v
7.0ms
e
6.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
97.8%1v
97.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
97.8%1e
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes23.0ms (0.7%)

Memory
-6.6MiB live, 40.3MiB allocated; 4ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (+ (/ 1 e) 1) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (neg.f64 e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 v) e v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 v e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
(/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
#s(approx (/ (* (sin v) e) (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))) (- (cos v) (/ 1 e))) e)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) v) (*.f64 (pow.f64 v #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (* v v)) 1) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal -1/5040 binary64))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (exp.f64 (*.f64 (log.f64 e) #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e (neg.f64 (*.f64 (*.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/5040 binary64))) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
Outputs
(/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (neg.f64 e) v)))))
Calls

3 calls:

7.0ms
v
6.0ms
e
6.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
51.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
51.1%1e
52.7%2v
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes9.0ms (0.3%)

Memory
22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (+ (/ 1 e) 1) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (neg.f64 e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 v) e v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 v e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) 1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
Calls

2 calls:

4.0ms
v
4.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
51.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
51.1%1v
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes11.0ms (0.3%)

Memory
-19.7MiB live, 25.1MiB allocated; 3ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (+ (/ 1 e) 1) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (neg.f64 e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 v) e v)) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 v) e v)) e))
Calls

3 calls:

4.0ms
e
3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
v
Results
AccuracySegmentsBranch
50.6%1e
50.6%1v
50.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes8.0ms (0.2%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (+ (/ 1 e) 1) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (neg.f64 e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
Calls

3 calls:

2.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
e
Results
AccuracySegmentsBranch
50.6%1e
50.6%1v
50.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes7.0ms (0.2%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (+ (/ 1 e) 1) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* v e)) v) (*.f64 (neg.f64 e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) v)))
Calls

3 calls:

2.0ms
e
2.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
50.1%1e
50.1%1v
50.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes3.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
Calls

3 calls:

1.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
1.0ms
v
1.0ms
e
Results
AccuracySegmentsBranch
4.4%1e
4.4%1v
4.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch26.0ms (0.7%)

Memory
4.1MiB live, 46.9MiB allocated; 5ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
25.0ms
57243.11572945067
62411148577.450806
Samples
19.0ms144×0valid
Compiler

Compiled 338 to 356 computations (-5.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 8.0ms (52.1% of total)
ival-sin: 5.0ms (32.6% of total)
ival-mult!: 1.0ms (6.5% of total)
ival-div!: 1.0ms (6.5% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations380.0ms (10.8%)

Memory
0.5MiB live, 339.8MiB allocated; 57ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 115 to 72 computations (37.4% saved)

preprocess141.0ms (4%)

Memory
-3.3MiB live, 263.3MiB allocated; 49ms collecting garbage
Remove

(negabs v)

Compiler

Compiled 450 to 395 computations (12.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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